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Elliptic curves by rank › curves from parametrized families

Family curves, torsion subgroup Z/2: record curves

The curves of the family collection with torsion subgroup Z/2, by rank: for each rank the ten smallest conductors, with generators of the Mordell-Weil group and of the torsion subgroup. Every curve has proven rank, is given by its global minimal model, and has rank larger than the generic rank of the family it comes from. Conductors are exact integers; heights are natural logarithms; the naive height is log max(abs(c4)^3, c6^2).

rank curves smallest log N smallest naive height smallest log abs(disc)
4 1,045 36.900287 70.869998 63.415278
5 2,436 25.759748 44.014900 36.560180
6 5,058 31.720327 55.169937 47.715217
7 2,432 41.382447 67.990753 60.536033
8 1,715 49.719985 81.671075 74.216355
9 204 56.637278 90.331195 82.876475
10 1,098,790 56.172623 110.899091 103.444371
11 1,024,983 65.938322 134.275546 122.394856
12 508,463 74.054696 141.410349 128.305541
13 140,677 85.035191 157.790960 149.299036
14 19,410 95.518922 187.269944 175.739804
15 1,637 101.025835 188.974204 178.606341
16 102 131.965650 231.597131 219.663625
17 1 146.353183 272.250904 256.582739

Rank 4

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,39543968484,0] 10606957754400288 36.900286573 84.815640000 77.36092013 [[0,0]]
2 [0,0,0,78524480529,0] 11061272425237056 36.942226432 86.873632000 79.41891188 [[0,0]]
3 [0,0,0,-32664865512,0] 22349039664386304 37.645559747 84.242301000 76.78758075 [[0,0]]
4 [0,0,0,52107676434,0] 49114055684415744 38.432921655 85.643337000 78.18861743 [[0,0]]
5 [0,0,0,-25573597236,0] 61052428349706816 38.650509371 83.508082000 76.05336198 [[0,0]]
6 [0,0,0,-777638322,0] 4300240781105604864 42.905202691 73.028919000 65.57419936 [[0,0]]
7 [0,0,0,-378653277,0] 4588105733850839328 42.969998919 70.869998000 63.41527761 [[0,0]]
8 [0,0,0,66223286613,0] 6550293265862981184 43.326041496 86.362497000 78.90777708 [[0,0]]
9 [0,0,0,-1132963407,0] 9127865469163005504 43.657863548 74.157911000 66.70319065 [[0,0]]
10 [0,0,0,4531853628,0] 9127865469163005504 43.657863548 78.316794000 70.86207373 [[0,0]]
generators for these ten

1. [0,0,0,39543968484,0] N = 10606957754400288

E = ellinit([0,0,0,39543968484,0]);
generators:
  [18100,26864020]
  [5292621,12184634925]
  [2653641/196,63638733915/2744]
  [64912144/961,1626063959960/29791]
torsion generators:
  [0,0]

2. [0,0,0,78524480529,0] N = 11061272425237056

E = ellinit([0,0,0,78524480529,0]);
generators:
  [2036793/4,3317935797/8]
  [2852496/25,12775141044/125]
  [4664913/196,119053244673/2744]
  [32423073/16,186377885937/64]
torsion generators:
  [0,0]

3. [0,0,0,-32664865512,0] N = 22349039664386304

E = ellinit([0,0,0,-32664865512,0]);
generators:
  [-178175,12792965]
  [-3770183/36,10296369773/216]
  [-2572847/16,2117453081/64]
  [-7127/4,61028501/8]
torsion generators:
  [0,0]

4. [0,0,0,52107676434,0] N = 49114055684415744

E = ellinit([0,0,0,52107676434,0]);
generators:
  [7942,20355346]
  [87723,72429957]
  [107008,82469728]
  [237600,160605720]
torsion generators:
  [0,0]

5. [0,0,0,-25573597236,0] N = 61052428349706816

E = ellinit([0,0,0,-25573597236,0]);
generators:
  [-5819,12190805]
  [228528,78042312]
  [-5656068/49,12897720396/343]
  [1054803253/81,34255037013533/729]
torsion generators:
  [0,0]

6. [0,0,0,-777638322,0] N = 4300240781105604864

E = ellinit([0,0,0,-777638322,0]);
generators:
  [-27656,594604]
  [62226,13876398]
  [86404258/2809,338963904134/148877]
  [388819161/5776,6978137482467/438976]
torsion generators:
  [0,0]

7. [0,0,0,-378653277,0] N = 4588105733850839328

E = ellinit([0,0,0,-378653277,0]);
generators:
  [-3092,1068286]
  [-1821,826734]
  [-1864704/121,1963125408/1331]
  [489849/25,40167618/125]
torsion generators:
  [0,0]

8. [0,0,0,66223286613,0] N = 6550293265862981184

E = ellinit([0,0,0,66223286613,0]);
generators:
  [1686004,2214566254]
  [2387124,3709552194]
  [261752121/484,4689812751957/10648]
  [12903410113/80656,2776200357818591/22906304]
torsion generators:
  [0,0]

9. [0,0,0,-1132963407,0] N = 9127865469163005504

E = ellinit([0,0,0,-1132963407,0]);
generators:
  [-13788,3605562]
  [36864,2886336]
  [-775575/196,5769709245/2744]
  [-417087/16,220032351/64]
torsion generators:
  [0,0]

10. [0,0,0,4531853628,0] N = 9127865469163005504

E = ellinit([0,0,0,4531853628,0]);
generators:
  [3078,3738744]
  [69196,25394932]
  [103794,39856896]
  [13251034/361,100760862536/6859]
torsion generators:
  [0,0]

Rank 5

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,-49042,0] 153927536896 25.759747789 44.014900000 36.56018014 [[0,0]]
2 [0,0,0,196168,0] 153927536896 25.759747789 48.173783000 40.71906323 [[0,0]]
3 [0,0,0,233864,0] 218769481984 26.111284419 48.701088000 41.24636817 [[0,0]]
4 [0,0,0,-58466,0] 218769481984 26.111284419 44.542205000 37.08748509 [[0,0]]
5 [0,0,0,-2961922,0] 334010020096 26.534436830 56.317650000 48.86292990 [[0,0]]
6 [0,0,0,11847688,0] 334010020096 26.534436830 60.476533000 53.02181299 [[0,0]]
7 [0,0,0,603988,0] 729603008288 27.315766399 51.547532000 44.09281191 [[0,0]]
8 [0,0,0,-150997,0] 729603008288 27.315766399 47.388649000 39.93392883 [[0,0]]
9 [0,0,0,433288,0] 750953963776 27.344610187 50.551077000 43.09635682 [[0,0]]
10 [0,0,0,-108322,0] 750953963776 27.344610187 46.392194000 38.93747374 [[0,0]]
generators for these ten

1. [0,0,0,-49042,0] N = 153927536896

E = ellinit([0,0,0,-49042,0]);
generators:
  [-217,651]
  [-62,1674]
  [224,504]
  [343,4851]
  [-1736/9,40796/27]
torsion generators:
  [0,0]

2. [0,0,0,196168,0] N = 153927536896

E = ellinit([0,0,0,196168,0]);
generators:
  [32,2512]
  [113,4859]
  [128,5216]
  [2825,151985]
  [113/4,18871/8]
torsion generators:
  [0,0]

3. [0,0,0,233864,0] N = 218769481984

E = ellinit([0,0,0,233864,0]);
generators:
  [8,1368]
  [288,9552]
  [369,11685]
  [1025,36285]
  [5248,381792]
torsion generators:
  [0,0]

4. [0,0,0,-58466,0] N = 218769481984

E = ellinit([0,0,0,-58466,0]);
generators:
  [-46,1610]
  [242,154]
  [248,868]
  [279,2325]
  [-713/9,54901/27]
torsion generators:
  [0,0]

5. [0,0,0,-2961922,0] N = 334010020096

E = ellinit([0,0,0,-2961922,0]);
generators:
  [-1681,15129]
  [-1312,40344]
  [2050,50430]
  [-881/49,2502921/343]
  [6929/4,65559/8]
torsion generators:
  [0,0]

6. [0,0,0,11847688,0] N = 334010020096

E = ellinit([0,0,0,11847688,0]);
generators:
  [200,48760]
  [4961,425293]
  [11849,1343119]
  [2009/4,623651/8]
  [16072/9,4424392/27]
torsion generators:
  [0,0]

7. [0,0,0,603988,0] N = 729603008288

E = ellinit([0,0,0,603988,0]);
generators:
  [53,5671]
  [77,6853]
  [848,33496]
  [1232,51128]
  [1325,55915]
torsion generators:
  [0,0]

8. [0,0,0,-150997,0] N = 729603008288

E = ellinit([0,0,0,-150997,0]);
generators:
  [-371,2226]
  [-308,4158]
  [-259,4662]
  [477,6042]
  [-2849/25,495726/125]
torsion generators:
  [0,0]

9. [0,0,0,433288,0] N = 750953963776

E = ellinit([0,0,0,433288,0]);
generators:
  [41,4223]
  [2952,164328]
  [6929,579371]
  [1321/36,862613/216]
  [5248/9,573344/27]
torsion generators:
  [0,0]

10. [0,0,0,-108322,0] N = 750953963776

E = ellinit([0,0,0,-108322,0]);
generators:
  [-328,492]
  [-41,2091]
  [-9,987]
  [1058,32706]
  [2009/4,68019/8]
torsion generators:
  [0,0]

Rank 6

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,4097583,0] 59698440682272 31.720327017 57.291327000 49.83660662 [[0,0]]
2 [0,0,0,-16390332,0] 59698440682272 31.720327017 61.450210000 53.99548970 [[0,0]]
3 [0,0,0,2020343,0] 130617146804768 32.503291617 55.169937000 47.71521665 [[0,0]]
4 [0,0,0,-8081372,0] 130617146804768 32.503291617 59.328820000 51.87409974 [[0,0]]
5 [0,0,0,2174558,0] 302636959703296 33.343555050 55.390611000 47.93589103 [[0,0]]
6 [0,0,0,-8698232,0] 302636959703296 33.343555050 59.549494000 52.09477412 [[0,0]]
7 [0,0,0,12517428,0] 313372007470368 33.378412123 60.641500000 53.18678050 [[0,0]]
8 [0,0,0,-3129357,0] 313372007470368 33.378412123 56.482617000 49.02789741 [[0,0]]
9 [0,0,0,-16748536,0] 1122053832573184 34.653937180 61.515067000 54.06034731 [[0,0]]
10 [0,0,0,4187134,0] 1122053832573184 34.653937180 57.356184000 49.90146423 [[0,0]]
generators for these ten

1. [0,0,0,4097583,0] N = 59698440682272

E = ellinit([0,0,0,4097583,0]);
generators:
  [252,32382]
  [841,63568]
  [1737,111168]
  [5404,424214]
  [193/4,112519/8]
  [12159/25,5739048/125]
torsion generators:
  [0,0]

2. [0,0,0,-16390332,0] N = 59698440682272

E = ellinit([0,0,0,-16390332,0]);
generators:
  [-4044,12132]
  [-2702,156716]
  [-1158,132012]
  [7077,488313]
  [8106,632268]
  [-12159/4,1179423/8]
torsion generators:
  [0,0]

3. [0,0,0,2020343,0] N = 130617146804768

E = ellinit([0,0,0,2020343,0]);
generators:
  [29,7656]
  [299,25116]
  [637,39312]
  [2691,157872]
  [667/9,330832/27]
  [3393/4,385671/8]
torsion generators:
  [0,0]

4. [0,0,0,-8081372,0] N = 130617146804768

E = ellinit([0,0,0,-8081372,0]);
generators:
  [-2691,47541]
  [-2668,50692]
  [-667,71369]
  [4212,201708]
  [6032,413192]
  [-8671/4,685009/8]
torsion generators:
  [0,0]

5. [0,0,0,2174558,0] N = 302636959703296

E = ellinit([0,0,0,2174558,0]);
generators:
  [722,44118]
  [736,44712]
  [943,53751]
  [2738,162726]
  [7544,667644]
  [9016,867468]
torsion generators:
  [0,0]

6. [0,0,0,-8698232,0] N = 302636959703296

E = ellinit([0,0,0,-8698232,0]);
generators:
  [-2944,9568]
  [-943,85813]
  [-184,39928]
  [2952,6888]
  [-67896/25,7491192/125]
  [-7544/9,2210392/27]
torsion generators:
  [0,0]

7. [0,0,0,12517428,0] N = 313372007470368

E = ellinit([0,0,0,12517428,0]);
generators:
  [462,76692]
  [966,113988]
  [1254,132924]
  [2622,225492]
  [8694,875196]
  [27094/25,15226828/125]
torsion generators:
  [0,0]

8. [0,0,0,-3129357,0] N = 313372007470368

E = ellinit([0,0,0,-3129357,0]);
generators:
  [-1767,3534]
  [-1463,38038]
  [-341,32054]
  [4123,239134]
  [7161,587202]
  [-4991/9,1068074/27]
torsion generators:
  [0,0]

9. [0,0,0,-16748536,0] N = 1122053832573184

E = ellinit([0,0,0,-16748536,0]);
generators:
  [-4088,12264]
  [-952,122808]
  [-119,44625]
  [4232,70104]
  [11169,1098285]
  [-4599/4,1065435/8]
torsion generators:
  [0,0]

10. [0,0,0,4187134,0] N = 1122053832573184

E = ellinit([0,0,0,4187134,0]);
generators:
  [242,32054]
  [2975,196945]
  [4088,292292]
  [8568,815388]
  [511/9,416465/27]
  [1241/4,291635/8]
torsion generators:
  [0,0]

Rank 7

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,8902509668,0] 937925188033532192 41.382446584 80.342400000 72.88768026 [[0,0]]
2 [0,0,0,-2225627417,0] 937925188033532192 41.382446584 76.183517000 68.72879718 [[0,0]]
3 [0,0,0,-188588857,0] 1138104223506126368 41.575895590 68.778843000 61.32412261 [[0,0]]
4 [0,0,0,754355428,0] 1138104223506126368 41.575895590 72.937726000 65.48300570 [[0,0]]
5 [0,0,0,580080664,0] 1345974306986723584 41.743649817 72.149636000 64.69491627 [[0,0]]
6 [0,0,0,-145020166,0] 1345974306986723584 41.743649817 67.990753000 60.53603318 [[0,0]]
7 [0,0,0,1425207908,0] 4062435162051472928 42.848314261 74.846354000 67.39163370 [[0,0]]
8 [0,0,0,-356301977,0] 4062435162051472928 42.848314261 70.687471000 63.23275062 [[0,0]]
9 [0,0,0,1012640008,0] 4101759143208960256 42.857947615 73.821083000 66.36636296 [[0,0]]
10 [0,0,0,-253160002,0] 4101759143208960256 42.857947615 69.662200000 62.20747988 [[0,0]]
generators for these ten

1. [0,0,0,8902509668,0] N = 937925188033532192

E = ellinit([0,0,0,8902509668,0]);
generators:
  [261,1524327]
  [325,1700985]
  [14912,11664912]
  [984425/4,1046050005/8]
  [32954324/49,191029786116/343]
  [520809289/900,12042470276837/27000]
  [38019930169/4900,7413940215160947/343000]
torsion generators:
  [0,0]

2. [0,0,0,-2225627417,0] N = 937925188033532192

E = ellinit([0,0,0,-2225627417,0]);
generators:
  [-21853,6180668]
  [-13572,5263674]
  [-6757,3837976]
  [-351364/49,1354332538/343]
  [-148421/9,153255284/27]
  [790569/16,208973739/64]
  [1141933/9,1132797536/27]
torsion generators:
  [0,0]

3. [0,0,0,-188588857,0] N = 1138104223506126368

E = ellinit([0,0,0,-188588857,0]);
generators:
  [-981,429024]
  [-173,180612]
  [14933,716784]
  [18421,1666392]
  [62453,15225384]
  [-1090109/81,231103108/729]
  [-14933/9,14992732/27]
torsion generators:
  [0,0]

4. [0,0,0,754355428,0] N = 1138104223506126368

E = ellinit([0,0,0,754355428,0]);
generators:
  [2192,1289992]
  [10512,3015192]
  [59732,16067908]
  [286452,154015692]
  [5913/4,8460189/8]
  [31828/9,44463716/27]
  [198925/9,141515245/27]
torsion generators:
  [0,0]

5. [0,0,0,580080664,0] N = 1345974306986723584

E = ellinit([0,0,0,580080664,0]);
generators:
  [13769,3255385]
  [42993,10218003]
  [578017/36,792251119/216]
  [892737/4,848397729/8]
  [892737/169,3937267749/2197]
  [1686281/49,2672755385/343]
  [34122392/1369,277176190216/50653]
torsion generators:
  [0,0]

6. [0,0,0,-145020166,0] N = 1345974306986723584

E = ellinit([0,0,0,-145020166,0]);
generators:
  [-9554,716550]
  [-5746,802230]
  [-5058,777246]
  [-4802,765282]
  [12083,108747]
  [205411/9,79083235/27]
  [234073/16,64303197/64]
torsion generators:
  [0,0]

7. [0,0,0,1425207908,0] N = 4062435162051472928

E = ellinit([0,0,0,1425207908,0]);
generators:
  [4325,2498985]
  [12816,4513368]
  [22784,6655776]
  [56052,15999732]
  [58473/4,39157419/8]
  [103952/49,597360168/343]
  [4495924/169,16549496244/2197]
torsion generators:
  [0,0]

8. [0,0,0,-356301977,0] N = 4062435162051472928

E = ellinit([0,0,0,-356301977,0]);
generators:
  [-14308,1472702]
  [-2853,996648]
  [23141,2036408]
  [53573,11604736]
  [-2059549/121,1416969712/1331]
  [-1382437/169,3380255956/2197]
  [-103952/9,43321996/27]
torsion generators:
  [0,0]

9. [0,0,0,1012640008,0] N = 4101759143208960256

E = ellinit([0,0,0,1012640008,0]);
generators:
  [200,450040]
  [593,775051]
  [1889/4,5532881/8]
  [177184/9,141759856/27]
  [241792/9,184305952/27]
  [4172801/16,8587180543/64]
  [8577152/121,27534802208/1331]
torsion generators:
  [0,0]

10. [0,0,0,-253160002,0] N = 4101759143208960256

E = ellinit([0,0,0,-253160002,0]);
generators:
  [-15488,453552]
  [-4744,1046052]
  [-2825,832245]
  [58114,13474146]
  [-603081/121,1419853701/1331]
  [67009/4,5427729/8]
  [569873/16,384884871/64]
torsion generators:
  [0,0]

Rank 8

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,33197384403,0] 3918458066490836147232 49.719985179 84.290814000 76.83609386 [[0,0]]
2 [0,0,0,-132789537612,0] 3918458066490836147232 49.719985179 88.449697000 80.99497695 [[0,0]]
3 [0,0,0,-27501222402,0] 5378255883408118397184 50.036651089 83.726092000 76.27137196 [[0,0]]
4 [0,0,0,110004889608,0] 5378255883408118397184 50.036651089 87.884975000 80.43025504 [[0,0]]
5 [0,0,0,-55452072812,0] 6149864758294699174688 50.170717044 85.829958000 78.37523788 [[0,0]]
6 [0,0,0,13863018203,0] 6149864758294699174688 50.170717044 81.671075000 74.21635480 [[0,0]]
7 [0,0,0,-25792915457,0] 21288783608702384603168 51.412467296 83.533700000 76.07898017 [[0,0]]
8 [0,0,0,585688506100,0] 27442482094211978976800 51.666379207 92.901765000 85.44704486 [[0,0]]
9 [0,0,0,21676792718,0] 30072533922504820961536 51.757899214 83.012127000 75.55740728 [[0,0]]
10 [0,0,0,-86707170872,0] 30072533922504820961536 51.757899214 87.171010000 79.71629036 [[0,0]]
generators for these ten

1. [0,0,0,33197384403,0] N = 3918458066490836147232

E = ellinit([0,0,0,33197384403,0]);
generators:
  [939,5583294]
  [2892,9799542]
  [5484,13498866]
  [8667,16981542]
  [146697/4,284738877/8]
  [12157233/196,131533524639/2744]
  [17307961/961,731997727318/29791]
  [36270753/169,286542766674/2197]
torsion generators:
  [0,0]

2. [0,0,0,-132789537612,0] N = 3918458066490836147232

E = ellinit([0,0,0,-132789537612,0]);
generators:
  [-286082,120726604]
  [-74034,97083252]
  [-48899,79852067]
  [-44786,76532876]
  [411300,122320620]
  [880182,751675428]
  [30610774/81,44875394684/729]
  [48829878/121,146608995924/1331]
torsion generators:
  [0,0]

3. [0,0,0,-27501222402,0] N = 5378255883408118397184

E = ellinit([0,0,0,-27501222402,0]);
generators:
  [-162729,12886587]
  [-142721,31904191]
  [-91656,41840964]
  [-52193,35960977]
  [-26937,26856189]
  [213282,61939602]
  [-6690888/121,48933809388/1331]
  [8455266/49,6795215442/343]
torsion generators:
  [0,0]

4. [0,0,0,110004889608,0] N = 5378255883408118397184

E = ellinit([0,0,0,110004889608,0]);
generators:
  [33288,60817176]
  [65928,86827176]
  [95776,106838128]
  [170601,154052703]
  [469737,394109343]
  [1631112,2125804968]
  [4812744,10583224056]
  [308617209/4,5421684255309/8]
torsion generators:
  [0,0]

5. [0,0,0,-55452072812,0] N = 6149864758294699174688

E = ellinit([0,0,0,-55452072812,0]);
generators:
  [14244453,53753817471]
  [-108657200/729,1385360940680/19683]
  [-15920271/784,733887345801/21952]
  [-456399/4,556654647/8]
  [1665737/4,1773129893/8]
  [88397604/25,829269130308/125]
  [799057152/121,22573062064032/1331]
  [893799857825/2316484,669385534396434415/3525688648]
torsion generators:
  [0,0]

6. [0,0,0,13863018203,0] N = 6149864758294699174688

E = ellinit([0,0,0,13863018203,0]);
generators:
  [3925,7380570]
  [218348,115917594]
  [1059839,1097800506]
  [2983/9,57876166/27]
  [1703689/576,88548973669/13824]
  [4508825/256,64715147715/4096]
  [16284825/4,65744009835/8]
  [82413431/1369,1643464851558/50653]
torsion generators:
  [0,0]

7. [0,0,0,-25792915457,0] N = 21288783608702384603168

E = ellinit([0,0,0,-25792915457,0]);
generators:
  [-120409,36877772]
  [-3481,9473276]
  [-1921,7038544]
  [-484,3533222]
  [-27064969/169,10609467848/2197]
  [300931769/1681,2306309566436/68921]
  [1654073497/9216,30031286495293/884736]
  [109019021315481/632975281,411205931938523619252/15925025094679]
torsion generators:
  [0,0]

8. [0,0,0,585688506100,0] N = 27442482094211978976800

E = ellinit([0,0,0,585688506100,0]);
generators:
  [412580,558456500]
  [1472580,2013889500]
  [2203856,3463359704]
  [1640745/4,4448865675/8]
  [12480545/16,61768162225/64]
  [46101605/49729,258405300636175/11089567]
  [2588678480/44521,1738549995471800/9393931]
  [5788565525/49,440418490064825/343]
torsion generators:
  [0,0]

9. [0,0,0,21676792718,0] N = 30072533922504820961536

E = ellinit([0,0,0,21676792718,0]);
generators:
  [8194,13348026]
  [8978,13976334]
  [1287904,1471108344]
  [4097/4,37696497/8]
  [321976/25,2096546724/125]
  [1778098/1089,213810950206/35937]
  [8001441/4,22694753823/8]
  [181721551/6561,13250208216223/531441]
torsion generators:
  [0,0]

10. [0,0,0,-86707170872,0] N = 30072533922504820961536

E = ellinit([0,0,0,-86707170872,0]);
generators:
  [-1071,9636501]
  [-4261331868521679/47154556801,862667156964632264582757/10239659163893951]
  [-4088/9,169443512/27]
  [-1687/16,193510709/64]
  [3908529/4,7367948841/8]
  [10995625/36,9685386325/216]
  [5943330649/17424,231269342328611/2299968]
  [59415227936/60025,13826935347088816/14706125]
torsion generators:
  [0,0]

Rank 9

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,0,0,994485754408,0] 3956007662881795565721856 56.637277583 94.490078000 87.03535792 [[0,0]]
2 [0,0,0,-248621438602,0] 3956007662881795565721856 56.637277583 90.331195000 82.87647483 [[0,0]]
3 [0,0,0,2909860803848,0] 33869159591083714926428416 58.784547086 97.710982000 90.25626217 [[0,0]]
4 [0,0,0,-727465200962,0] 33869159591083714926428416 58.784547086 93.552099000 86.09737909 [[0,0]]
5 [0,0,0,10860647005268,0] 235907306746073553639503648 60.725481192 101.662104000 94.20738410 [[0,0]]
6 [0,0,0,-2715161751317,0] 235907306746073553639503648 60.725481192 97.503221000 90.04850102 [[0,0]]
7 [0,0,0,-27466234023960,0] 335286227315083526157369600 61.077026809 104.445539000 96.99081862 [[0,0]]
8 [0,0,0,6866558505990,0] 335286227315083526157369600 61.077026809 100.286655000 92.83193554 [[0,0]]
9 [0,0,0,-13928342806092,0] 387997466648029537424624928 61.223041042 102.408444000 94.95372388 [[0,0]]
10 [0,0,0,3482085701523,0] 387997466648029537424624928 61.223041042 98.249561000 90.79484079 [[0,0]]
generators for these ten

1. [0,0,0,994485754408,0] N = 3956007662881795565721856

E = ellinit([0,0,0,994485754408,0]);
generators:
  [1832,42683768]
  [219776,478727072]
  [27083601/4,142468769127/8]
  [50951584/225,1642398834448/3375]
  [687957632/1681,47527724996128/68921]
  [1447343433/2209,100277259964161/103823]
  [9726022048/103041,10179201182315536/33076161]
  [148926703321/112896,72046853433622243/37933056]
  [11293770984296/1371241,38231279942091313112/1605723211]
torsion generators:
  [0,0]

2. [0,0,0,-248621438602,0] N = 3956007662881795565721856

E = ellinit([0,0,0,-248621438602,0]);
generators:
  [-363609,205736967]
  [-729,13462713]
  [-17,2055861]
  [-17491098089/182329,11798946038483073/77854483]
  [-160815937/6889,43512450521901/571787]
  [-13399249/49,74785354293/343]
  [-3969704/9,4169707028/27]
  [43393673/16,280978426971/64]
  [85137849/64,728297539629/512]
torsion generators:
  [0,0]

3. [0,0,0,2909860803848,0] N = 33869159591083714926428416

E = ellinit([0,0,0,2909860803848,0]);
generators:
  [65641,437365983]
  [525128,1293390264]
  [170207113,2220692203311]
  [33211144/81,818953599896/729]
  [37362537/64,705317519307/512]
  [71546681/4,607925432493/8]
  [239517449/25,3765153948207/125]
  [934063425/4,28548029541855/8]
  [8340148537/2601,862732368012473/132651]
torsion generators:
  [0,0]

4. [0,0,0,-727465200962,0] N = 33869159591083714926428416

E = ellinit([0,0,0,-727465200962,0]);
generators:
  [-570312,478941396]
  [-5248,61786672]
  [2334258,3319747146]
  [-1419448825/6889,214815011879795/571787]
  [-798719688/2209,48226008681708/103823]
  [-505768064/3249,61273805364368/185193]
  [-2053657/529,646578470899/12167]
  [29371590578/2401,5021494981673654/117649]
  [455752880433/16,307676362885283031/64]
torsion generators:
  [0,0]

5. [0,0,0,10860647005268,0] N = 235907306746073553639503648

E = ellinit([0,0,0,10860647005268,0]);
generators:
  [130896,1193255208]
  [6464/25,6623972688/125]
  [110399588/292681,10134588245335164/158340421]
  [3081027049/484,192577290047979/10648]
  [3872427264/169,243456201268704/2197]
  [3182337183041/407044,6160748841457322367/259694072]
  [4086715470309/1934881,15310711056191163231/2691419471]
  [61477154422052/21836929,742114704260738151228/102043969217]
  [75473227158436/2074164849,59387364213315736974652/94463689718007]
torsion generators:
  [0,0]

6. [0,0,0,-2715161751317,0] N = 235907306746073553639503648

E = ellinit([0,0,0,-2715161751317,0]);
generators:
  [-1481481,878024406]
  [-321652,916547374]
  [2312189,2466475066]
  [-277142161/169,452850291074/2197]
  [-202581072/361,7960406342484/6859]
  [-8121713/9,35361938402/27]
  [44292641/16,236871266767/64]
  [1599977461/729,42274604474542/19683]
  [27991358261/1369,4667894886320882/50653]
torsion generators:
  [0,0]

7. [0,0,0,-27466234023960,0] N = 335286227315083526157369600

E = ellinit([0,0,0,-27466234023960,0]);
generators:
  [-3475224,7313029704]
  [223057896,3330477445176]
  [541233960,12590912243880]
  [-686655850599/170569,474287615781591879/70444997]
  [-9612951/16,258270707403/64]
  [767511040/9,21222927461440/27]
  [5576669224/9,416434587634072/27]
  [69867463929/7921,14854403035027593/704969]
  [18174680139731944/1577440089,2182040102961846219543688/62651188014813]
torsion generators:
  [0,0]

8. [0,0,0,6866558505990,0] N = 335286227315083526157369600

E = ellinit([0,0,0,6866558505990,0]);
generators:
  [10,8286470]
  [6162250,16622712550]
  [8209/4,949674583/8]
  [1610361/4,13457276739/8]
  [53859249/100,1963291308057/1000]
  [213662785/1156,44388400163345/39304]
  [368502010/49,7491035359970/343]
  [44680675801/4356,9747837429912179/287496]
  [60847040718751/158785201,3280153470782164768421/2000852317801]
torsion generators:
  [0,0]

9. [0,0,0,-13928342806092,0] N = 387997466648029537424624928

E = ellinit([0,0,0,-13928342806092,0]);
generators:
  [-2525952,4366423776]
  [-1420848,4113591768]
  [-752466,3170891724]
  [-583418,2815575268]
  [6067086,11782281012]
  [20035392,88110645168]
  [45824832,309176322768]
  [183031654/49,103595916164/343]
  [211035497062/27889,84335271548898812/4657463]
torsion generators:
  [0,0]

10. [0,0,0,3482085701523,0] N = 387997466648029537424624928

E = ellinit([0,0,0,3482085701523,0]);
generators:
  [9238801/9,58261273642/27]
  [13937664/25,181769351712/125]
  [28420297/16,219749175803/64]
  [62773932/49,878740887102/343]
  [170404608/361,9070605332976/6859]
  [382448209/2025,74275253211302/91125]
  [931855753/1089,68244121266274/35937]
  [1006674097/144,33058170671383/1728]
  [6907377411/841,588706566902982/24389]
torsion generators:
  [0,0]

Rank 10

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,1,-7014056479127717,221483537524540059698900] 2485766715136584389804778 56.172623381 121.073681000 110.41065524 [[170383463/4,-170383467/8]]
2 [1,0,1,-29499173172906148,8316765760147324691627078] 10817942205250900617851910 57.643248303 128.283777000 120.77250614 [[-1001681673/4,1001681669/8]]
3 [1,0,0,-306245784794605070,64040074904742348830845956] 58287634249314930726735678 59.327432197 132.403096000 121.62905738 [[354129852,-177064926]]
4 [0,-1,0,-3908966416437847720,2875119211480731452257216432] 188622615993334511234840880 60.501790510 140.043017000 129.86749488 [[-2274437831,0]]
5 [1,1,0,-79670263216654392,8794677070351063157969340] 368839630407777086661212802 61.172404175 128.395523000 117.47980481 [[-1306023045/4,1306023045/8]]
6 [0,-1,0,-408478237571450680,99125510937918042227099056] 417410406183293374812352656 61.296112157 133.267248000 122.19603204 [[-736884023,0]]
7 [1,0,1,-11139873239497155088,14277824795848257713407032938] 462431203432201179694386570 61.398540028 143.184791000 130.35359657 [[8008801591/4,-8008801595/8]]
8 [1,1,0,-339541249831039300,76131684036776550440582500] 680955709929518222129434350 61.785539499 132.712719000 117.76922534 [[1327273915/4,-1327273915/8]]
9 [1,0,0,-2047211693548203705,1124005177063808706565310841] 851978969154242345159363202 62.009604074 138.102634000 125.54489800 [[863015322,-431507661]]
10 [1,0,0,-4133580926822654595,3063148522585045345660745025] 1118069939084988074572750110 62.281401441 140.210630000 130.48552500 [[-2333699410,1166849705]]
generators for these ten

1. [1,0,1,-7014056479127717,221483537524540059698900] N = 2485766715136584389804778

E = ellinit([1,0,1,-7014056479127717,221483537524540059698900]);
generators:
  [-75590370,565513296979]
  [-1901412,484576305403]
  [-802688489661/9409,407149773618562492/912673]
  [-13342028085/169,1169204415379060/2197]
  [-7882795431/289,3078078791533862/4913]
  [-1610480772/49,221369589080653/343]
  [386510805/16,16458857793535/64]
  [61657592553/1681,8024607878461088/68921]
  [514381463955/47089,3906605042607795772/10218313]
  [127140579684279/2992900,69846704323751412473/5177717000]
torsion generators:
  [170383463/4,-170383467/8]

2. [1,0,1,-29499173172906148,8316765760147324691627078] N = 10817942205250900617851910

E = ellinit([1,0,1,-29499173172906148,8316765760147324691627078]);
generators:
  [29130763,2735337832913]
  [112851499,2534693206115]
  [172231504,2888702716130]
  [459906724,9592824727985]
  [25147710946/25,3945808286721691/125]
  [26821198513/49,4286317835939411/343]
  [30421158913/529,31751877436170379/12167]
  [103423438693951/124609,1036793371170365156275/43986977]
  [2788252446514099/1371241,146775891974810817532385/1605723211]
  [311790935011846561/49729,174098544242564675071780715/11089567]
torsion generators:
  [-1001681673/4,1001681669/8]

3. [1,0,0,-306245784794605070,64040074904742348830845956] N = 58287634249314930726735678

E = ellinit([1,0,0,-306245784794605070,64040074904742348830845956]);
generators:
  [-398130470,11084378779744]
  [282934750,204830623366]
  [383433340,1728400859746]
  [447621052,4079657364514]
  [1236546652,39699401800354]
  [-13851337964/25,997185912343394/125]
  [-7981736/9,216525318370006/27]
  [10924815979/100,5646818916905563/1000]
  [260337695122/529,69378772748445848/12167]
  [59691365402140/157609,96504804645491159242/62570773]
torsion generators:
  [354129852,-177064926]

4. [0,-1,0,-3908966416437847720,2875119211480731452257216432] N = 188622615993334511234840880

E = ellinit([0,-1,0,-3908966416437847720,2875119211480731452257216432]);
generators:
  [878558717,10908335505054]
  [3586143324,187019594796320]
  [68851525844,18058976726161800]
  [-64104617145014/380689,13952609328653665865910/234885113]
  [13881180418921/10609,798152710794543000/1092727]
  [16491463944946/2209,64819609160516174250/103823]
  [47833739116153/49729,25037118280730392848/11089567]
  [227028873825121/235225,136165707416169560844/114084125]
  [2974141203828796/1006009,132170788764257239900800/1009027027]
  [39089448856378308436/40798748169,25302117525815482726837177000/8240816746411803]
torsion generators:
  [-2274437831,0]

5. [1,1,0,-79670263216654392,8794677070351063157969340] N = 368839630407777086661212802

E = ellinit([1,1,0,-79670263216654392,8794677070351063157969340]);
generators:
  [133542924,732629145414]
  [151273098,452002998690]
  [163291434,373044958914]
  [3591693158,214605795358582]
  [8806374839,825986676840964]
  [-1217692388083/6889,2382042771612811050/571787]
  [-1150772978834/6889,2388035041786164668/571787]
  [-29445706380/121,4939436292474150/1331]
  [55797957286/289,3835765425557732/4913]
  [91450124226902/450241,300877330951492466172/302111711]
torsion generators:
  [-1306023045/4,1306023045/8]

6. [0,-1,0,-408478237571450680,99125510937918042227099056] N = 417410406183293374812352656

E = ellinit([0,-1,0,-408478237571450680,99125510937918042227099056]);
generators:
  [7244802,9806454366610]
  [329835785,527397702216]
  [-6519849995/36,2792701233048419/216]
  [8572146181/4,761718622168251/8]
  [12562864834/9,1280366989254298/27]
  [20291033569/25,2173224457960728/125]
  [384222017909/1156,10856648084390163/39304]
  [19540857966865/175561,545727844375071697944/73560059]
  [389302297572508/844561,2299595710411669905048/776151559]
  [1034757783040801/3222025,5968930243967875430124/5783534875]
torsion generators:
  [-736884023,0]

7. [1,0,1,-11139873239497155088,14277824795848257713407032938] N = 462431203432201179694386570

E = ellinit([1,0,1,-11139873239497155088,14277824795848257713407032938]);
generators:
  [1504961749,30352902907805]
  [1849882429,886174908785]
  [4261042804,210178532632910]
  [5315576479,324429874583435]
  [-52882197259799/12166144,5079203807156159808724795/42435510272]
  [747817139494/361,65295290636197190/6859]
  [84174367343236/61009,590287413903769796930/15069223]
  [281238637499341/139129,227748396189348005345/51895117]
  [565974495389011/124609,10536693633737097067945/43986977]
  [22442506363079176/8779369,1302022623582553359182770/26013270347]
torsion generators:
  [8008801591/4,-8008801595/8]

8. [1,1,0,-339541249831039300,76131684036776550440582500] N = 680955709929518222129434350

E = ellinit([1,1,0,-339541249831039300,76131684036776550440582500]);
generators:
  [-658850115,3720884395745]
  [-463964490,11567096589620]
  [84691695,6926921402665]
  [179919344,4567820820530]
  [327582535,238345257520]
  [1370687775/4,1082484888875/8]
  [411451920,2466083861890]
  [7979744894/25,65329696506118/125]
  [44530601665/64,6806369382479315/512]
  [12775074468255/37249,1069049430513881080/7189057]
torsion generators:
  [1327273915/4,-1327273915/8]

9. [1,0,0,-2047211693548203705,1124005177063808706565310841] N = 851978969154242345159363202

E = ellinit([1,0,0,-2047211693548203705,1124005177063808706565310841]);
generators:
  [-1066389862,45765650091059]
  [204085071642/289,27118769385305859/4913]
  [468817507614/529,29180387020301601/12167]
  [598787360438/361,328353153224175221/6859]
  [2647115649066/841,3922283381917361919/24389]
  [11987705269362/25921,69348678056320872579/4173281]
  [40816179708474/52441,17440705419748863015/12008989]
  [78842396618742/113569,233922034025135976747/38272753]
  [485779206992214/931225,12645292277675391907407/898632125]
  [137007560051585994/174108025,1277761429739902497292713/2297355389875]
torsion generators:
  [863015322,-431507661]

10. [1,0,0,-4133580926822654595,3063148522585045345660745025] N = 1118069939084988074572750110

E = ellinit([1,0,0,-4133580926822654595,3063148522585045345660745025]);
generators:
  [-1760720850,69877580250345]
  [918538590,6424336899705]
  [1972187340,50810630499705]
  [10811275950,1105451814661545]
  [-227853185683170/100489,888668876803392237165/31855013]
  [68235495510/289,225159343218250665/4913]
  [3522605299320/961,5742968301139544175/29791]
  [15105447989840/10201,14169059474220066205/1030301]
  [66284265565290/34969,295231842664409620515/6539203]
  [172839733152510/332929,6245781194457035205465/192100033]
torsion generators:
  [-2333699410,1166849705]

Rank 11

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [0,-1,0,-11946911268550493608,15893653014210611705201601712] 43316108595835552276361984400 65.938322100 143.394616000 125.71123381 [[1988642617,0]]
2 [1,0,1,-8935444839098988438628,325066122267677796797923301076998] 498653576436666580377542225670 68.381709130 163.246542000 147.42871288 [[220224282871/4,-220224282875/8]]
3 [1,1,0,-1576373756450214922,759926798530798069794077800] 672519215577201888821790774558 68.680828195 137.318579000 124.54394536 [[3015936475/4,-3015936475/8]]
4 [1,1,0,-628194012441407122,175424217648985174555974640] 686044836958354728450143389446 68.700740496 134.558479000 125.28410686 [[-3625940645/4,3625940645/8]]
5 [1,1,0,-10890191097078268972,13664254157182253537901636340] 1758821889262453385218180898874 69.642196994 143.116786000 131.93989013 [[8297469755/4,-8297469755/8]]
6 [1,0,0,-5572586182117973719,443264061932761831373441736809] 2355694911715481929719037783146 69.934388553 150.051072000 142.59622146 [[-7868207018,3934103509]]
7 [1,0,0,-13799859692500506680,19254614592101304671643180096] 2681265063185100898944986344566 70.063841511 143.827173000 133.33074884 [[2411520112,-1205760056]]
8 [1,0,0,-24194951415416541970,47127484848391869821967941636] 4306646989411129903500146530806 70.537712430 145.568453000 135.21764698 [[-5697893308,2848946654]]
9 [1,0,1,-64954321782232905188,199567246029562063472807719982] 4666956724488780574610050527762 70.618059984 148.474251000 137.05750531 [[17106259703/4,-17106259707/8]]
10 [1,-1,1,-923688794862317894717,10764868390432162818440919471109] 5886315249990041930455188423990 70.850182997 156.438324000 144.08657409 [[16663184623,-8331592312]]
generators for these ten

1. [0,-1,0,-11946911268550493608,15893653014210611705201601712] N = 43316108595835552276361984400

E = ellinit([0,-1,0,-11946911268550493608,15893653014210611705201601712]);
generators:
  [1615407172,28460446799400]
  [1939993962,4246541094950]
  [2002794953,160455647484]
  [4177832092,197237214939600]
  [8428679196,716932725701392]
  [277975518892,146546823407014800]
  [7359598258/9,2205269635129550/27]
  [48131888314/25,672549719058162/125]
  [422519133212/961,3085345472821894800/29791]
  [1147353037924/529,165399112248905304/12167]
  [23799337064332/11881,308083882692366000/1295029]
torsion generators:
  [1988642617,0]

2. [1,0,1,-8935444839098988438628,325066122267677796797923301076998] N = 498653576436666580377542225670

E = ellinit([1,0,1,-8935444839098988438628,325066122267677796797923301076998]);
generators:
  [90849893599,16221235778859725]
  [-13297486649964311/175561,1752102709239385668748375/73560059]
  [1384678995481/25,33180825114705781/125]
  [5636785329979/121,4189010028203017225/1331]
  [26050808170561/289,77999130572462486725/4913]
  [272681396989564/5041,3823877038545377455/357911]
  [630646071597559/7225,8902764273781351788953/614125]
  [25057580156841469/712336,4429196406502496956099295/601211584]
  [21212032149651664/72361,2945345560626496493355850/19465109]
  [69398666062871364/185761,17746017088081257746357375/80062991]
  [251739970325161208194/439279681,3942967583352781096634701345625/9206862834079]
torsion generators:
  [220224282871/4,-220224282875/8]

3. [1,1,0,-1576373756450214922,759926798530798069794077800] N = 672519215577201888821790774558

E = ellinit([1,1,0,-1576373756450214922,759926798530798069794077800]);
generators:
  [-1421837642,11263734044692]
  [-1036404363,35783898016732]
  [408741102754,261318455289453262]
  [-96556513372113/73441,470921814710516251681/19902511]
  [-46070557043/144,60640894748153695/1728]
  [145837229314/169,14273443950074278/2197]
  [941823615477/1369,51833408920992100/50653]
  [3191540073454/3721,1414559400681173902/226981]
  [9855074830156/11881,6219678376863383776/1295029]
  [12672084477346/3481,42718516724929271936/205379]
  [54838010696629/70225,42145142761670670103/18609625]
torsion generators:
  [3015936475/4,-3015936475/8]

4. [1,1,0,-628194012441407122,175424217648985174555974640] N = 686044836958354728450143389446

E = ellinit([1,1,0,-628194012441407122,175424217648985174555974640]);
generators:
  [-1482167189/4,151224869583521/8]
  [321243547,2602232340742]
  [342655102,634125949546]
  [621800606,5021969024810]
  [634992070,5706194944000]
  [-1552757380843097/15342889,927079705887704426814251/60098096213]
  [-322025129766/1369,892098157001095042/50653]
  [8213282257/9,513810198946984/27]
  [8620679761/49,2876881576926601/343]
  [26937795382/81,1322221417754768/729]
  [21081992078679/62500,21569076167632305967/15625000]
torsion generators:
  [-3625940645/4,3625940645/8]

5. [1,1,0,-10890191097078268972,13664254157182253537901636340] N = 1758821889262453385218180898874

E = ellinit([1,1,0,-10890191097078268972,13664254157182253537901636340]);
generators:
  [-3464888264,98996703655114]
  [-2136223080,164863394160730]
  [1454569048,30020172774010]
  [194958535704,86069853692658254]
  [-4415185658936/2809,24416960399789032298/148877]
  [19035807246/25,9530801636606804/125]
  [805350423047/484,130643297899744265/10648]
  [1981108094520/1681,3423009335010014030/68921]
  [5605289921443/3249,618664844481406841/185193]
  [104148391583314/36481,532570967508362362292/6967871]
  [755063997469576/2809,20746395243403910625614/148877]
torsion generators:
  [8297469755/4,-8297469755/8]

6. [1,0,0,-5572586182117973719,443264061932761831373441736809] N = 2355694911715481929719037783146

E = ellinit([1,0,0,-5572586182117973719,443264061932761831373441736809]);
generators:
  [-7844380666,65418087507317]
  [61147647887/4,15860269155571273/8]
  [30679895894,5399052557203157]
  [60656141270,14942170130125013]
  [-98733789549706/14161,637662179867025215923/1685159]
  [-882108559786/2401,78504775673157189413/117649]
  [-385088931610/361,4590897181431263783/6859]
  [-180115082194/25,41354102929278889/125]
  [22601649254/25,82817985896384257/125]
  [67634849354/49,227054884423953851/343]
  [39273366634952/17161,1495437380966100961999/2248091]
torsion generators:
  [-7868207018,3934103509]

7. [1,0,0,-13799859692500506680,19254614592101304671643180096] N = 2681265063185100898944986344566

E = ellinit([1,0,0,-13799859692500506680,19254614592101304671643180096]);
generators:
  [-3961591856,108399267259240]
  [1649520112,31298937887944]
  [1696426840,26948140515616]
  [2422224880,6312616273096]
  [6244160848,420167152299208]
  [11010085480,1096343603006224]
  [-472162943034/7921,99889423559536089942/704969]
  [-17928090704/25,21206628235490216/125]
  [7150920046992/2209,9574875102792550104/103823]
  [404099797175176/14161,8057552424115565494544/1685159]
  [1412127997173832/2209,53064430390721141243384/103823]
torsion generators:
  [2411520112,-1205760056]

8. [1,0,0,-24194951415416541970,47127484848391869821967941636] N = 4306646989411129903500146530806

E = ellinit([1,0,0,-24194951415416541970,47127484848391869821967941636]);
generators:
  [-3715015612,292815637613534]
  [3540769444,76480499207710]
  [3906269348,110546761117214]
  [4209639980,140975799852566]
  [-2588450969860/529,2675746790296463338/12167]
  [305043854036/289,741279586310470510/4913]
  [3529674681284/1369,2199280906752582854/50653]
  [4285055044004/3025,20844384138890027282/166375]
  [12275913839000/3721,12866547580007625686/226981]
  [82081035320900/32041,253758785167343439466/5735339]
  [419415274575092/113569,3453462180110638954574/38272753]
torsion generators:
  [-5697893308,2848946654]

9. [1,0,1,-64954321782232905188,199567246029562063472807719982] N = 4666956724488780574610050527762

E = ellinit([1,0,1,-64954321782232905188,199567246029562063472807719982]);
generators:
  [3528496734,119609851203307]
  [3765847551,91458192192535]
  [3961540851,66478844139535]
  [5062747380,22026600925273]
  [8166393654,462317620470598]
  [64753622751,16355625049680535]
  [130785113526/25,6772625762357159/125]
  [693716970171/169,100808867392169851/2197]
  [1426294478634/625,3928715678542954798/15625]
  [1696974680523/289,705473325259183733/4913]
  [1913202219615/2809,58734329981811151787/148877]
torsion generators:
  [17106259703/4,-17106259707/8]

10. [1,-1,1,-923688794862317894717,10764868390432162818440919471109] N = 5886315249990041930455188423990

E = ellinit([1,-1,1,-923688794862317894717,10764868390432162818440919471109]);
generators:
  [16244391523,216047782525268]
  [4090842570317,8273839481484232316]
  [1286969737951/49,737464755847846424/343]
  [4523630624713/289,1849142687313192058/4913]
  [24061254722023/1444,269009754102367777/54872]
  [26136466023487/361,123346606030661657144/6859]
  [44338184421143/1849,123271252270969799512/79507]
  [62189962163617/2401,241598935616828256284/117649]
  [113151160856183/2809,928763151675324621032/148877]
  [890818534926913/54289,2050864523708319788092/12649337]
  [2171121413645483/1849,101130437888598927709912/79507]
torsion generators:
  [16663184623,-8331592312]

Rank 12

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,1,-6166000806909576551,5882858220756238497524991998] 145059433532653065217081920420450 74.054696335 141.410349000 128.30554070 [[5536995783/4,-5536995787/8]]
2 [1,-1,0,-106891136267469572664,422858173212173751446470249404] 2521187658201578085610417610020422 76.910038152 149.968631000 138.06975170 [[22364143491/4,-22364143491/8]]
3 [1,1,1,-6893400811406274474520,293410482046238687449751456975321] 3070143408623089579456273867631802 77.107032342 163.041396000 154.75725848 [[-99246124155,49623062077]]
4 [1,-1,1,-233636783676286373627,894153434637738073293054084075] 3744534523427843486091406117969518 77.305605385 152.314501000 144.30959153 [[-16925310901,8462655450]]
5 [1,1,1,-1621798311910830552290,24644776741169831070627868749551] 5823102912675542002999614449352786 77.747141335 158.127071000 147.42590598 [[25863435385,-12931717693]]
6 [0,1,0,-22546842745086570220760,143033305149276646344856595782381908] 11537416688626259646150573805118160 78.430903448 175.419917000 167.96511373 [[-537340177773,0]]
7 [1,-1,1,-12090879806196036593705,511520847322406944394817377336297] 56919847097224919772703369225430550 80.026952156 164.153818000 149.55571984 [[62451432519,-31225716260]]
8 [0,1,0,-480041640930470559338200,131913819933085547066311488422279348] 69124330894680935061847174333300560 80.221214849 175.258059000 164.95970483 [[-802728719309,0]]
9 [1,1,0,-3675056362010790890172,85383903655263236884036244026884] 119800842028802930650603533023243310 80.771138783 160.581169000 148.36650421 [[147424828987/4,-147424828987/8]]
10 [1,0,0,-143579084753628471275,547663613975314117128331400241] 137218907269704557279238053943454386 80.906885583 150.853856000 142.24711353 [[4412887102,-2206443551]]
generators for these ten

1. [1,0,1,-6166000806909576551,5882858220756238497524991998] N = 145059433532653065217081920420450

E = ellinit([1,0,1,-6166000806909576551,5882858220756238497524991998]);
generators:
  [-11463097657/4,33560084995653/8]
  [-5284941717/4,866193811757963/8]
  [1047798917,23926227272766]
  [1234834062,12318639748156]
  [1383255792,646457287141]
  [4732653327,287579480754286]
  [23948824317/16,169704240868009/64]
  [13077417273/49,22377249845745598/343]
  [3023258161407/2209,285063488160582662/103823]
  [58763925544302/22801,290312431099631267236/3442951]
  [61438850069104508/40921609,813878614377003895676838/261775532773]
  [599507739526216983/64850809,448915061488365584221885462/522243564877]
torsion generators:
  [5536995783/4,-5536995787/8]

2. [1,-1,0,-106891136267469572664,422858173212173751446470249404] N = 2521187658201578085610417610020422

E = ellinit([1,-1,0,-106891136267469572664,422858173212173751446470249404]);
generators:
  [-547226705029308/49729,5725869786720358335030/11089567]
  [8681998641555/1369,294914630133175899/50653]
  [61034424381507/6241,275760471270464934762/493039]
  [442964639418780/57121,3352100279963233675722/13651919]
  [4085055012798975/139129,246690479062815476918466/51895117]
  [5274024958408350/822649,24490487888777065759014/746142643]
  [31421875589512131/8994001,8183945225246681004875025/26973008999]
  [513064421771629197/125193721,324392402642237420477201592/1400792544269]
  [863782513743488985/8404201,798882495966038615435506188/24363778699]
  [1286312806628622219/293471161,987086543871613227459052098/5027454459091]
  [9981033972422058990/1514999929,3996344551337697480805294326/58968342236467]
  [150154328453348563542/9781803409,1498480740977184729440699777424/967449702560327]
torsion generators:
  [22364143491/4,-22364143491/8]

3. [1,1,1,-6893400811406274474520,293410482046238687449751456975321] N = 3070143408623089579456273867631802

E = ellinit([1,1,1,-6893400811406274474520,293410482046238687449751456975321]);
generators:
  [-84867688443,16345557587117629]
  [-5827045413,18258721035400489]
  [16029634949,13675904580124221]
  [51262821509,8645648983727421]
  [65732989595,11149291936135227]
  [105591943477,27254983549905469]
  [225843029509,101270437519963069]
  [26276840364421,134696871007753207357]
  [-1013894745434067/11881,20890072987733879312641/1295029]
  [552627568117/9,272210522708937559/27]
  [2614227240509/25,3344776913107437513/125]
  [2636136431659/25,3397956436869362117/125]
torsion generators:
  [-99246124155,49623062077]

4. [1,-1,1,-233636783676286373627,894153434637738073293054084075] N = 3744534523427843486091406117969518

E = ellinit([1,-1,1,-233636783676286373627,894153434637738073293054084075]);
generators:
  [-8894264653,1506183000190362]
  [-4166105965,1339852921415634]
  [37038417131,6561350226610266]
  [63889280027,15708344574285450]
  [503428604555,357032521890142554]
  [-107391107628757/9409,1314358402215245342106/912673]
  [-1483401773317/121,1842313037670777942/1331]
  [-1245788111905/169,3270402467580976038/2197]
  [-148758444221/9,13234350457065854/27]
  [-12921500693/9,29903436912618814/27]
  [14005285583675/529,44314556597849383350/12167]
  [25606842889349/1225,97244474520121145412/42875]
torsion generators:
  [-16925310901,8462655450]

5. [1,1,1,-1621798311910830552290,24644776741169831070627868749551] N = 5823102912675542002999614449352786

E = ellinit([1,1,1,-1621798311910830552290,24644776741169831070627868749551]);
generators:
  [-45953609519,1459630107017771]
  [-43086734727,3812328161487427]
  [11190585661,2810206492805987]
  [11243676297,2798427858983203]
  [15128525969,1889928775149059]
  [26571554049,558425733441979]
  [26970535049,722924255973971]
  [130623884789,45183805517420039]
  [365819895657,219970069911133219]
  [259430756265/289,23658853853056453091/4913]
  [30581525469447/1849,121764821153031601813/79507]
  [454463771709241/29929,9713449321425190752607/5177717]
torsion generators:
  [25863435385,-12931717693]

6. [0,1,0,-22546842745086570220760,143033305149276646344856595782381908] N = 11537416688626259646150573805118160

E = ellinit([0,1,0,-22546842745086570220760,143033305149276646344856595782381908]);
generators:
  [104903799646,376593284277452880]
  [-270698040591600463634/672313041,5137014128691421509481810751120/17432404840089]
  [-30943077278197049684/129709321,542449701074924114594899355370/1477259456869]
  [-26667086420967130658/57592921,101757046409328853507865226480/437072677469]
  [-4527259607401088189/18190225,28317511515842396816420154384/77581309625]
  [-49786524092343641/97969,4675711847224476841663650/30664297]
  [-13920530530152074/25921,66747725285940548067240/4173281]
  [2878265104830937/1024,154694088218828092949091/32768]
  [20054677157801854/49,2840033637034625535870960/343]
  [28208602212434254/12769,4758191317875770685670320/1442897]
  [1272178773606290854/17530969,27638550757058300754571838280/73402167203]
  [10362707801212530784324/352425529,1054885779006612965798891473557270/6616084455917]
torsion generators:
  [-537340177773,0]

7. [1,-1,1,-12090879806196036593705,511520847322406944394817377336297] N = 56919847097224919772703369225430550

E = ellinit([1,-1,1,-12090879806196036593705,511520847322406944394817377336297]);
generators:
  [-118345679961,16879340957446780]
  [-79343733081,31166586323049340]
  [64600061199,190162520199100]
  [314646184975/4,54939819428980503/8]
  [109603596919,22427145005413740]
  [3922436621775,7765419467183950708]
  [19134343882119,83697629356294720540]
  [897797094045/16,199821355888084417/64]
  [81562686136431/1369,82367876743141552300/50653]
  [2618903507450119/40401,3051615675794746887740/8120601]
  [6019899295879239/961,467000435812568684457700/29791]
  [14148520112773131/139129,947886785645085394528960/51895117]
torsion generators:
  [62451432519,-31225716260]

8. [0,1,0,-480041640930470559338200,131913819933085547066311488422279348] N = 69124330894680935061847174333300560

E = ellinit([0,1,0,-480041640930470559338200,131913819933085547066311488422279348]);
generators:
  [-159551100958874581/243049,48546879157435478896128360/119823157]
  [-162125895488086/289,2328698176827552527340/4913]
  [3181226250521/256,1453649695986269887875/4096]
  [32843652813554/289,1379379811777235078580/4913]
  [84804353375324/289,627586481562494973750/4913]
  [138003489823826/361,448155124852551847500/6859]
  [392589430692041/26896,1558942478161206668321715/4410944]
  [703863333332314/729,14840867934024079528700/19683]
  [4025429905131811/12321,136433005229483592206500/1367631]
  [38339550675499964/5329,7473514676530334595644250/389017]
  [85082490381318551/961,24816871526112046513959750/29791]
  [96871602423855866/358801,31870067063198363381302500/214921799]
torsion generators:
  [-802728719309,0]

9. [1,1,0,-3675056362010790890172,85383903655263236884036244026884] N = 119800842028802930650603533023243310

E = ellinit([1,1,0,-3675056362010790890172,85383903655263236884036244026884]);
generators:
  [-41730826501,12887006528882833]
  [-36833652195,13068177238320153]
  [-19664019472,12249365941788486]
  [147632078271/4,1159886194638879/8]
  [39775463078,1461177051080236]
  [320373812923,178300040635238836]
  [16642561851728,67893365766166612986]
  [242171862286843/4356,2091067425875587584181/287496]
  [68217567030722/1849,9865792208741808652/79507]
  [169257508981392/2809,1353976154484666291102/148877]
  [2658666323810493/80656,5575974238401810544869/22906304]
  [12554593129310275623/1093691041,241849207692491970063314420271/36169456416911]
torsion generators:
  [147424828987/4,-147424828987/8]

10. [1,0,0,-143579084753628471275,547663613975314117128331400241] N = 137218907269704557279238053943454386

E = ellinit([1,0,0,-143579084753628471275,547663613975314117128331400241]);
generators:
  [-12966910010,478728368841001]
  [-1932171596,904362449160001]
  [4109006008,164535064252159]
  [1145148392539/100,636529719114170743/1000]
  [3082293699844/49,5318381829154805293/343]
  [3317595261238/361,451047956566054531/6859]
  [88553883201262/1681,813075264701119444649/68921]
  [446623456275988/22201,7967107123762367800301/3307949]
  [615517713312622/146689,7759431529462483455551/56181887]
  [1476724990371934/431649,88097537883259377427249/283593393]
  [41228200751714686/3845521,3699247882279755030810521/7541066681]
  [49703021091613150/4464769,5410331904462770759188513/9434056897]
torsion generators:
  [4412887102,-2206443551]

Rank 13

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,0,-1449906033237470410635,17073586021555823773300048810225] 8517544174435024143004460515381044430 85.035191405 157.790960000 149.29903623 [[-42978640130,21489320065]]
2 [1,1,1,-817732582601069158567499815,9294691321682809931409995675785428600797] 142345695678637990158711155259549347070 87.851321923 197.583670000 187.35328486 [[-33139203043509,16569601521754]]
3 [1,1,1,-78799314921090126336635,8509215482293751203148041509575561] 455514655953569565656462935595492873046 89.014491239 169.777177000 155.52355747 [[158934200115,-79467100058]]
4 [1,0,1,-26584447235992210259588,1883021637908148057017778972149102] 551664926630833203374698683114972985506 89.206004193 166.759517000 157.76768960 [[-763651246857/4,763651246853/8]]
5 [1,1,1,-419672873567864790074815,104614921796713109015272026649125797] 1284522297763555835148164816047706661990 90.051205523 174.794890000 159.84591892 [[368914963707,-184457481854]]
6 [1,-1,0,-17803752379518557867553819,28715279586360864633133293861598588569] 3876086637366268034930325790341578339682 91.155644673 186.037957000 174.29516270 [[9076333397331/4,-9076333397331/8]]
7 [1,1,1,-2233443137462509978628350,1284661641797067684243151033873099067] 4727844089153187242364522073324833073890 91.354287930 179.810363000 163.14488220 [[857847762737,-428923881369]]
8 [1,0,0,-3774568349934480475073365,2809826711276838077079501611286373601] 6459246194228230642493258817227938296774 91.666331250 181.384588000 169.22254942 [[1059507223442,-529753611721]]
9 [1,1,0,-20511201738925605387733302,35145307775672090738931920931846257040] 7883356805482701562636987661831032795698 91.865572430 186.462643000 175.62075233 [[9323361020955/4,-9323361020955/8]]
10 [1,0,1,-1783056570632975776524426,911992231539582131905632900888890248] 8439784420249846645897414985383540399350 91.933775392 179.134717000 167.03873200 [[2907003855383/4,-2907003855387/8]]
generators for these ten

1. [1,0,0,-1449906033237470410635,17073586021555823773300048810225] N = 8517544174435024143004460515381044430

E = ellinit([1,0,0,-1449906033237470410635,17073586021555823773300048810225]);
generators:
  [642998256463902,16304770252901039521441]
  [-1082604861778690/26569,12626439696697732579755/4330747]
  [-1028345520020370/24649,8609367015441893855045/3869893]
  [-36302761587770/8649,3864715856739211216405/804357]
  [774552365845/16,497106550180425535/64]
  [19379923473630/2809,404954673922084296605/148877]
  [52091107629310/9,375955046155281021115/27]
  [2402155348381470/196249,93641309059065339504355/86938307]
  [71270177161463070/1739761,11796061363856241089249335/2294744759]
  [158193677749124270/5248681,10432987622587004418638315/12024728171]
  [2237332065773628670/69239041,1146781850352455313960446465/576138060161]
  [3783959112265361330/344213809,10022791775877118878197219505/6386198798377]
  [1061577159127196192270/29580216121,17072488116289920360218086341485/5087471790434669]
torsion generators:
  [-42978640130,21489320065]

2. [1,1,1,-817732582601069158567499815,9294691321682809931409995675785428600797] N = 142345695678637990158711155259549347070

E = ellinit([1,1,1,-817732582601069158567499815,9294691321682809931409995675785428600797]);
generators:
  [-32125316545493,49093064295994145946]
  [-30680015895133,74194116435422433906]
  [-20131942379573,132656931772193654106]
  [16993362554837,17490350397031078386]
  [18259099096907,21239527677838304346]
  [107582018835707,1080029531343693169146]
  [333358188622243/9,4662694715294001126782/27]
  [20322673562771603/1369,1046592310395283200252978/50653]
  [21833417777310437/841,1819045154717885721773994/24389]
  [1200179143607378467/84681,578941653401145215323435966/24642171]
  [3389457379306819627/40401,5918480260584382539640401466/8120601]
  [3903463771915938323/458329,16847399168896210707668929458/310288733]
  [4884479909441928667/269361,2895810411952166941768109974/139798359]
torsion generators:
  [-33139203043509,16569601521754]

3. [1,1,1,-78799314921090126336635,8509215482293751203148041509575561] N = 455514655953569565656462935595492873046

E = ellinit([1,1,1,-78799314921090126336635,8509215482293751203148041509575561]);
generators:
  [136975485403,16900049119712534]
  [-21342102184229/121,173135843458133284306/1331]
  [-15783081350461/49,7453908939379158698/343]
  [12809124036063/169,119774482860609802438/2197]
  [160221606163411/225,1889657427228542709946/3375]
  [5860864089980091/37249,17620391238430943288302/7189057]
  [5875730590422265/136161,3619324592691474753612928/50243409]
  [10835622926510413/69169,55622798740791208173538/18191447]
  [11776358776075347/52441,555310088664689933554822/12008989]
  [108022578708368691/410881,20339919858737708931107942/263374721]
  [304675932725825699/5329,168171334476281740427089654/389017]
  [2908388942949335179/19193161,582928367452960545245988734/84085238341]
  [4015906108044053039/23863225,440791490872502887069780642/116571854125]
torsion generators:
  [158934200115,-79467100058]

4. [1,0,1,-26584447235992210259588,1883021637908148057017778972149102] N = 551664926630833203374698683114972985506

E = ellinit([1,0,1,-26584447235992210259588,1883021637908148057017778972149102]);
generators:
  [-183830241354,23617228343695558]
  [-164268709683,42630508966552441]
  [-27740385429,50981750012106133]
  [601674726,43209103667138278]
  [23241539760,35745093131163493]
  [25080144429,35100637236226177]
  [62530420215,21568053176674081]
  [-124140812528490/5041,17976836370414805133573/357911]
  [838667783619/49,12984370708861759339/343]
  [214961515825449/256,3096789656852165404867/4096]
  [1486146486122229/784,57087395558460140154721/21952]
  [519209165870076/961,11353025978269864997758/29791]
  [3043703389005759/44521,184343767087289987445037/9393931]
torsion generators:
  [-763651246857/4,763651246853/8]

5. [1,1,1,-419672873567864790074815,104614921796713109015272026649125797] N = 1284522297763555835148164816047706661990

E = ellinit([1,1,1,-419672873567864790074815,104614921796713109015272026649125797]);
generators:
  [-739980079813,99866341560850626]
  [-695453973793,245188933397930646]
  [-418062552343,454969449064279746]
  [1447210593203/4,93482152657207293/8]
  [363278237755,9955746927195138]
  [379103896907,150947988673746]
  [510021524027,152448159655536066]
  [3224138878843/9,423856368128490862/27]
  [391552054771267/81,7681631728225505255434/729]
  [2488609601429275/6241,12784130083356131744862/493039]
  [3394068702935107/10201,43886305603604409781946/1030301]
  [7481805254580955/22201,126295256399581434059762/3307949]
  [15899482391642627/44521,158979692904498319859766/9393931]
torsion generators:
  [368914963707,-184457481854]

6. [1,-1,0,-17803752379518557867553819,28715279586360864633133293861598588569] N = 3876086637366268034930325790341578339682

E = ellinit([1,-1,0,-17803752379518557867553819,28715279586360864633133293861598588569]);
generators:
  [-1076651077572,6829032608831654487]
  [11318545558755/4,7974290393657163009/8]
  [-4301248407006018384/1739761,17418933533156642678060777565/2294744759]
  [3128674627403902/1089,40643228340651059923219/35937]
  [83589561806361091/32041,888521435043077419306150/5735339]
  [259305413708325828/96721,15149985945061465510861947/30080231]
  [1872160404339860316/844561,292425113131314370032803265/776151559]
  [3342884970018917952/1481089,308874941987764916783675781/1802485313]
  [26227556237596681593/9935104,10515977561076493790327039109/31315447808]
  [42756686683042951704/305809,279454090497309163640210388843/169112377]
  [24821885936483765859054/9470987761,219101533778879022524480184533757/921707057912759]
  [4252829305029252571822833/828449476864,6424945327427893609138349556472579935/754048086245797888]
  [66716939374470277815027870/13467630209929,389446461078915200895079087270129979661/49423872970413112283]
torsion generators:
  [9076333397331/4,-9076333397331/8]

7. [1,1,1,-2233443137462509978628350,1284661641797067684243151033873099067] N = 4727844089153187242364522073324833073890

E = ellinit([1,1,1,-2233443137462509978628350,1284661641797067684243151033873099067]);
generators:
  [687338878081,272492043388008439]
  [21229970350429/25,2544684142448317707/125]
  [386927342527553/169,6280676492043502907307/2197]
  [5633363932579399/2500,346713310624922814953543/125000]
  [2803249447065677/3721,39081404832335237746911/226981]
  [47971476783289313/1849,10489841187564900282121317/79507]
  [249116594818249537/295936,5272091639071999653163089/160989184]
  [100015629166146257/185761,39077798457395830604032521/80062991]
  [219989228467453713/253009,907442994906831242546657/127263527]
  [5267458373834531653/5702544,1344779496492646914221576357/13617675072]
  [46836268035080939297/20620681,263677764288235396834038730851/93638512421]
  [944835068501362582769/721298449,15088653590067345731771820827487/19371912444793]
  [61054029734173106113972927/69575800946521,12939851165238985627825574087329833911/580346436188931376931]
torsion generators:
  [857847762737,-428923881369]

8. [1,0,0,-3774568349934480475073365,2809826711276838077079501611286373601] N = 6459246194228230642493258817227938296774

E = ellinit([1,0,0,-3774568349934480475073365,2809826711276838077079501611286373601]);
generators:
  [1014752925854,156483898644902495]
  [34523758544642,202536440689679320919]
  [-867213616038493913230/6721212289,1000182407461642646503497265445257/551025147089087]
  [-355246331052526/169,2651023809373015309091/2197]
  [4661272303085/16,84298207400291671691/64]
  [148237214252690/169,916035382545104689187/2197]
  [1922971750978946/1849,7599538929241698743957/79507]
  [3690221771181602/4489,154077770362658339361677/300763]
  [5640026032448750/4489,67753537754697155332913/300763]
  [121790282802349127/1865956,4081211315374761298504859999/2548895896]
  [564727107314358722/80089,409721446316434276101123653/22665187]
  [6082855170462966530/5755201,451410087400814316790526089/13806727199]
  [8214730547653753394/6661561,2998833810720690936578856395/17193488941]
torsion generators:
  [1059507223442,-529753611721]

9. [1,1,0,-20511201738925605387733302,35145307775672090738931920931846257040] N = 7883356805482701562636987661831032795698

E = ellinit([1,1,0,-20511201738925605387733302,35145307775672090738931920931846257040]);
generators:
  [-4834471923877,4616742029859463747]
  [-3103847488392,8301018896815947600]
  [-2743594495017,8412363680229257475]
  [2287476579542,442432694984022886]
  [4724529731194,6610338738036106294]
  [-204385211141695860480/40081561,678321126361532455911950625660/253756362691]
  [671484838665558/289,870559406535213326598/4913]
  [1931357096810395/841,9535700990015601529295/24389]
  [27765330170692206/8281,1519587194001567434452164/753571]
  [52959941001179679/6889,10415248690604952228268065/571787]
  [976203655678525454/80089,905492886824333673738232740/22665187]
  [5955969820397661529/2839225,5557036615930643112387830588/4784094125]
  [3760252251513634551387/3829849,230579583668937048385982000661186/7495014493]
torsion generators:
  [9323361020955/4,-9323361020955/8]

10. [1,0,1,-1783056570632975776524426,911992231539582131905632900888890248] N = 8439784420249846645897414985383540399350

E = ellinit([1,0,1,-1783056570632975776524426,911992231539582131905632900888890248]);
generators:
  [8119353563854472/8281,245710470036250225473501/753571]
  [22345560188201842/5041,3203437138841735805141916/357911]
  [119770019502032761/168921,4498130932111221956361221/69426531]
  [492916406665745837/45212176,287210552011371306190603674219/304006671424]
  [221271228011815193/1682209,1798823941637074726316605203/2181825073]
  [364339753024353118/514089,24131398865190640331576153/368601813]
  [709716263806064177/2374681,2331084502687810331513128911/3659383421]
  [1147378501967407823/1408969,4432298705691490707950373/1672446203]
  [1164587899828895507/1615441,72122590594829151075683421/2053225511]
  [1738234249758477647/410881,2189067335701513868463549801/263374721]
  [2636347268330583932/94249,4275801588297779569827693777/28934443]
  [4540153361068885817/6255001,210997718655854066048130891/15643757501]
  [58893257167722009851/28462225,374467279919124199582227992871/151845970375]
torsion generators:
  [2907003855383/4,-2907003855387/8]

Rank 14

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,0,-39211499476584808467394120940,1333820595356270317012457647091674096534416] 304327139592757069203804262254572708025894 95.518921867 209.129906000 201.45305954 [[-213229518501288,106614759250644]]
2 [1,0,1,-9401745906324336774583921258,348880727126591652241550711849023093044968] 4858903795077400145101018027817292162914370 98.289386762 204.845682000 192.91450186 [[237594575940631/4,-237594575940635/8]]
3 [1,0,0,-26844785415316950775425605,53078430978883527280513999906842557121] 52730095526316529723237209878616107447931486 100.673760271 187.269944000 175.73980379 [[2762872651762,-1381436325881]]
4 [1,1,1,-86374399929534275305324462913,9855469784322937076113338981697664456740031] 84518160226589403767572961475020918466832050 101.145540331 211.516347000 199.99462128 [[-339687689313665,169843844656832]]
5 [0,0,0,-78907404335076126358349007,244810445251631987769046702357699521106] 85468703986756648905003803597594316557982840 101.156724179 190.504555000 181.31597209 [[3795351025526,0]]
6 [1,0,1,-47150895435824082237969612348,3920522858450780250277322153420722026062878] 105313271826844476571278144767156849073593310 101.365513355 209.683055000 197.64865520 [[530551022837111/4,-530551022837115/8]]
7 [1,1,1,-8681332614227516477562299230,321488738143298625656711550300073291382171] 197360698876438380985679121710016580862432238 101.993606919 204.670708000 194.43811329 [[-107975693093455,53987846546727]]
8 [1,-1,1,-29987048533957114353134099931767,60838154561872193400955653963549381347129690959] 600960580937885755418479715464629443672290830 103.107103249 229.048558000 218.98309992 [[-6296737413667133,3148368706833566]]
9 [1,0,1,-20295837335427080962077761258,1107062187939803015835794294312352453954968] 789775713498323533692179524392094706920655310 103.380322904 207.154243000 195.14073389 [[348284247742487/4,-348284247742491/8]]
10 [1,1,1,-5089841477845778701914393659,139742554070973196205444450874019523701961] 1346259072323476202308604032530420986710202358 103.913658873 203.004736000 187.58989596 [[40744813067955,-20372406533978]]
generators for these ten

1. [1,0,0,-39211499476584808467394120940,1333820595356270317012457647091674096534416] N = 304327139592757069203804262254572708025894

E = ellinit([1,0,0,-39211499476584808467394120940,1333820595356270317012457647091674096534416]);
generators:
  [-140148145316424,2019039286251875890548]
  [-88388380975496,2027098167770009382580]
  [-45657438921416,1740384940487610288340]
  [193670307863788,1001967849743938185808]
  [343197786067584,5319772008421981751340]
  [468438060110314,9260507332124504125600]
  [-59165253291925920440/310249,236703185193410889964315457012/172808693]
  [-3416617957242374696/16129,751779883704445153311203884/2048383]
  [-60909623840426774/2209,160642428552230359217487200/103823]
  [7323866022345208/9,608732888150654179554908/27]
  [49874703145357720/9,11131270753803727089307612/27]
  [627856720037590456/2209,376493476293568849383245420/103823]
  [2188654843421713240/97969,20999435586510301866132657652/30664297]
  [1434431601418880101912/48288601,148269382800394110235857704372356/335557488349]
torsion generators:
  [-213229518501288,106614759250644]

2. [1,0,1,-9401745906324336774583921258,348880727126591652241550711849023093044968] N = 4858903795077400145101018027817292162914370

E = ellinit([1,0,1,-9401745906324336774583921258,348880727126591652241550711849023093044968]);
generators:
  [-6676247798144744711/63001,6229025367045041504342558005/15813251]
  [-72214492395752789/6724,369299250156721340786162915/551368]
  [-1167627466509864/49,256536795112284919436665/343]
  [25544700705016921/289,2243001664415180277007315/4913]
  [10808796856962554776/305809,41675766241034160853367466935/169112377]
  [26421245072990246569/1918225,1251762649011620470492654132627/2656741625]
  [77334535112489949289/3236401,2161845307037460567778027721845/5822285399]
  [312851945351432706699/6105841,616680903014484491197103214455/15087533111]
  [1246214398715912318662/19562929,7964356572081712584179289201611/86526834967]
  [43818955091918019033094/736525321,213986702670965002895520971372420/19988560686619]
  [510784333803417111889039/118243876,364962174369734534205151606297221745/1285783907624]
  [2900435326518811421392564/64262757001,2091547048069415367054766669647757280/16290673162510501]
  [7748059194553642502332054/20759334561,20901273315800323948733455483662913805/2991025682883441]
  [14556310661252676628478931679/38294673216361,1703871622227946118508152135682376852586045/236977739129937069109]
torsion generators:
  [237594575940631/4,-237594575940635/8]

3. [1,0,0,-26844785415316950775425605,53078430978883527280513999906842557121] N = 52730095526316529723237209878616107447931486

E = ellinit([1,0,0,-26844785415316950775425605,53078430978883527280513999906842557121]);
generators:
  [2744993348530,270492323384302471]
  [3588059963734,1717857507293552395]
  [-6892997802664256690/1164241,2658434546377179804569101001/1256216039]
  [-20170153738118276/6241,5078073203933881759673545/493039]
  [-130923827481359/64,5105479194265758846155/512]
  [10957461718429/16,378711332743068346099/64]
  [43942428668157586/5041,7853225112404850818324321/357911]
  [52105349524128538/19321,1462089790391458907311597/2685619]
  [274976860125142750/127449,103784034551569266067708723/45499293]
  [954201995338712866/290521,91233583613669663732249909/156590819]
  [1080022111679406876/326041,131932424921627117587421973/186169411]
  [113167514087470352530/52171729,847216983197427929671718419793/376836398567]
  [163452520385516912530/707281,2089195959565796959709499352879/594823321]
  [3016743851994613779682/927994369,11482631822057360799205984302361/28269492462847]
torsion generators:
  [2762872651762,-1381436325881]

4. [1,1,1,-86374399929534275305324462913,9855469784322937076113338981697664456740031] N = 84518160226589403767572961475020918466832050

E = ellinit([1,1,1,-86374399929534275305324462913,9855469784322937076113338981697664456740031]);
generators:
  [-238644710244435,4108179458614153564042]
  [-188579236247435,4408810495291602930392]
  [173687088201055,304968260589798877472]
  [383895309535815,5768322588638028403792]
  [2930434854135415/9,108845376563237961664064/27]
  [8307885531825231/49,99870495682830193816384/343]
  [13216661435690378215/729,48042537208162462928295096256/19683]
  [49779750086093919551/297025,47740671665086070458331478464/161878625]
  [116441217397012396295/273529,1013893524637339840183922511424/143055667]
  [575473705287041346335/3996001,5072480924666665759194444175168/7988005999]
  [590497480367429852135/2968729,3774508988974582188978953920064/5115120067]
  [174805508556681069035595/1068439969,11225569723415773685968794742963316/34924097266703]
  [258876945727843615189215/2778238681,236855560385929576557970115798304368/146438182636829]
  [82798079153146389433990215/62374563001,736336637403837876527580108926383702208/15577984734936749]
torsion generators:
  [-339687689313665,169843844656832]

5. [0,0,0,-78907404335076126358349007,244810445251631987769046702357699521106] N = 85468703986756648905003803597594316557982840

E = ellinit([0,0,0,-78907404335076126358349007,244810445251631987769046702357699521106]);
generators:
  [-679675943687593800853941238/119661917902081,29553881562765542263884969061170708489990/1308982796888125177729]
  [-135775740826118032437091/13491519409,6948362274532410760054298569674630/1567080453913577]
  [-1599417649145057683/18826921,1295535860834753298897047944890/81690010219]
  [-1856179014986249/225,61709955644330587195624/3375]
  [295607188568239005/24649,123796264379260096010671178/3869893]
  [1038421764728299475/312481,767144888123031739639862136/174676879]
  [1474502765858785523/61009,1681764377313739648509090720/15069223]
  [45261172645900978313/12020089,43248969389478416283583793910/41673648563]
  [65594323425857585847/9728161,133343636363483050264209423160/30342134159]
  [8876841522447891822422/653364721,684652769769518007350901032335320/16700655633481]
  [359019745624300468239981/53111350681,55145114201350709078818066465444870/12239988766592579]
  [501062001074119247745227/161518681,354678958127999803303180592833529520/2052740916829]
  [826668655699504704280778/36215231809,700717744950292015405151027839078410/6891867258948127]
  [1503303702102022779812417/230568990976,303215820856520007076556583841153695/110713695810891776]
torsion generators:
  [3795351025526,0]

6. [1,0,1,-47150895435824082237969612348,3920522858450780250277322153420722026062878] N = 105313271826844476571278144767156849073593310

E = ellinit([1,0,1,-47150895435824082237969612348,3920522858450780250277322153420722026062878]);
generators:
  [114586558757102,148978559541183802230]
  [955079761470959,28811278277254132905045]
  [-18075756530303401/196,7507014992228520149365095/2744]
  [16667714273236654/81,1248100392921852331970630/729]
  [1036272148365088847/27556,6785621094028664624061264135/4574296]
  [2604455432694565396/26569,2123606091763232914707258515/4330747]
  [10440040412802535544/5041,33554426074307907711561857670/357911]
  [44656601688924514139/219961,170010029026889115065770517085/103161709]
  [62356060845876129311/452929,59849810760426788176308221115/304821217]
  [81185897700851738216/537289,195286723563615792068745377985/393832837]
  [1196441819913809042891/10355524,4099395649644912501748974021315/33324076232]
  [707932146453713002739/96721,18827749799374863073379902035645/30080231]
  [777511647119652964874/1515361,19987077256983040504762396094745/1865409391]
  [101075344314645028929696209/65986820641,1006470770467013744287212411670011837315/16950628499439439]
torsion generators:
  [530551022837111/4,-530551022837115/8]

7. [1,1,1,-8681332614227516477562299230,321488738143298625656711550300073291382171] N = 197360698876438380985679121710016580862432238

E = ellinit([1,1,1,-8681332614227516477562299230,321488738143298625656711550300073291382171]);
generators:
  [-23769852816155,717225659418073406547]
  [-3877737483094776103/44521,6065233677920746320851160429/9393931]
  [-1217922001304729479/51529,8381789351470843692772974717/11697083]
  [-747569068912681543/80089,14365313170334461315022488773/22665187]
  [-30246937733795695/289,1420907391209900723532471/4913]
  [20120516999439329/289,1147429518498430629802023/4913]
  [244668129179396329/5184,48508322589031431725960671/373248]
  [1932304413654682705/2209,2671413016711182063576749001/103823]
  [60981247871804554305/1183744,134953011443613482868494475329/1287913472]
  [201337421022442074497/2768896,1259246204011697758176273420927/4607442944]
  [912833908631631913553/18809569,9816116769195138000403013219607/81577100753]
  [11317882173139251040793/29929,1204058918698619666553899817804243/5177717]
  [129147270594571955271359/2597533156,14957626791929766801176489605578189/132385874828696]
  [23020093257291454945331337/332039860441,43986542876740948524768924171882202987/191330996742056989]
torsion generators:
  [-107975693093455,53987846546727]

8. [1,-1,1,-29987048533957114353134099931767,60838154561872193400955653963549381347129690959] N = 600960580937885755418479715464629443672290830

E = ellinit([1,-1,1,-29987048533957114353134099931767,60838154561872193400955653963549381347129690959]);
generators:
  [-3957582932823953,342824871403589706401486]
  [-29902988615933,248464947631095499454366]
  [8201230295182843/4,714399774794434808654653/8]
  [3654834292826947,7813886870225099469086]
  [3711097408818367,25757237685843395582066]
  [8005293641718787,577754336094288360911966]
  [18841980431716867,2486987512690354778025566]
  [99735273881371423,31450743876479430544363538]
  [-4490089174280417218157/786769,149834922583798147785726513184498/697864103]
  [37800435186218891/25,17209183635458527595083174/125]
  [4628467630874067163/169,9771585727339430530036019702/2197]
  [13274361921807832483/1849,36915492768036583406491482962/79507]
  [492007797297975746167/10201,10845756684009358716012080445466/1030301]
  [13581656563222883169337/1577536,1315517158634436864102350581106881/1981385216]
torsion generators:
  [-6296737413667133,3148368706833566]

9. [1,0,1,-20295837335427080962077761258,1107062187939803015835794294312352453954968] N = 789775713498323533692179524392094706920655310

E = ellinit([1,0,1,-20295837335427080962077761258,1107062187939803015835794294312352453954968]);
generators:
  [-129327273641376,1252516942369213419160]
  [33166559802324,685859289095115469915]
  [56043712629864,381622406131776419080]
  [-6156620203313814/49,443732351370462700118215/343]
  [12222253927635789/16,1329223020244867748038075/64]
  [3683191724051151/49,26972509101394443375895/343]
  [9175694853242094/121,84798360341986671006980/1331]
  [11304607032383527/9,1194522996694898839827541/27]
  [122597668952819433741/1607824,108357965433332442074857889225/2038720832]
  [59721518576473660131/597529,128143950577979279580653122085/461889917]
  [63912661682566221039/1104601,412815707854746838246048232005/1160935651]
  [86785895011672089951/124609,792745484204559409305600078335/43986977]
  [516803351763748071639/201601,11730880321900804680865501466945/90518849]
  [22717582850648719174593/439028209,4066332015037727815868825914599115/9198958063177]
torsion generators:
  [348284247742487/4,-348284247742491/8]

10. [1,1,1,-5089841477845778701914393659,139742554070973196205444450874019523701961] N = 1346259072323476202308604032530420986710202358

E = ellinit([1,1,1,-5089841477845778701914393659,139742554070973196205444450874019523701961]);
generators:
  [-4511804127911,403255600949410221440]
  [1151008655674707,38976423623686705213030]
  [21671681948035209/1369,12727505076349737763476472/50653]
  [210360591027234603/5041,1228721626143877825103810/357911]
  [573800666116570587/10609,164533276140954320428339090/1092727]
  [2271801784911685055/39601,1506579936214353500474310398/7880599]
  [4836976285424664523/100489,2522312513129216257906161406/31855013]
  [10118857627540756123/257049,2543359851126503986686621266/130323843]
  [38667302423474612931/954529,5319504065862515269570479350/932574833]
  [182835300759212672405/4490161,16187969200254311518520761508/9514651159]
  [21411353062297818128210787/585373419409,22423225600351710195323450644414411510/447867447069567673]
  [147015812624844514767098283/6937571441329,3717962262540694611943815737418416581946/18273056733745368983]
  [2468633235771130580917521891/123450336025,122654107272623024152656409411110500793346/43374892814063875]
  [11827850055987275132036441347/2419322043889,1286212498197944265319462525530706386942038/3763054635539696713]
torsion generators:
  [40744813067955,-20372406533978]

Rank 15

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,-1,0,-47377997631934616131259094,122064326885475393485584567015835076600] 74982942042145889714439140878353729492075810 101.025834554 188.974204000 178.60634078 [[13690851677475/4,-13690851677475/8]]
2 [1,-1,1,-460855466999674963016476998152,114346210304297863156871290426720957935291979] 12334433622321215895724716304610404854359954238330 113.036479296 216.522249000 206.74798737 [[317693260060237,-158846630030119]]
3 [1,0,0,-24341212570918907364975008993335,46017718934663050280692506168501437161981737641] 44025871847742350339136611296547024333859559593162 114.308861921 228.422774000 216.24382281 [[2691897204184342,-1345948602092171]]
4 [1,1,0,-12537268201897972664569190300,537407455719654951639069821483479971892500] 46743260634842018618863285423770046153816518554850 114.368754552 205.709113000 193.72231854 [[273938270585915/4,-273938270585915/8]]
5 [0,1,0,-1248869357683141748660243160,-4876649751055622525002422594205126924716] 66489049159927911945099447956450941788165109722672 114.721121724 198.789711000 191.24898359 [[-33195841876077,0]]
6 [1,0,0,-409400407501145672374429749475,91075658316227433599720258143475077076650625] 177599378108948787912335962451915637757725844372530 115.703614793 216.167077000 207.01980827 [[-730773266756050,365386633378025]]
7 [1,0,0,-3635332259215271286970001417235900,84311290079639932822856655654964969491572101846032] 216095858582728308893742177217643607485136038653170 115.899806563 243.441629000 229.32751403 [[35527834228813304,-17763917114406652]]
8 [1,-1,1,-44700175175144584563197015384837,112606878837296599453184780505115482103256620285] 373194485014698697229027713931389442079902239969278 116.446184155 230.246194000 219.61398397 [[3393090920476159,-1696545460238080]]
9 [1,1,0,-34444685391230787101989206997,1860441465752852048025411799379070728824585] 640259658391727630453646333422455570202860388634738 116.985958274 208.741060000 200.43840550 [[-833089813048405/4,833089813048405/8]]
10 [1,0,0,-436520984169712563844803206505720,3494719553345674650555909435913973121316373774400] 685257784586218399524469100121851164597964542700910 117.053879559 237.082771000 224.90747963 [[11398379614036976,-5699189807018488]]
generators for these ten

1. [1,-1,0,-47377997631934616131259094,122064326885475393485584567015835076600] N = 74982942042145889714439140878353729492075810

E = ellinit([1,-1,0,-47377997631934616131259094,122064326885475393485584567015835076600]);
generators:
  [-2574560108244,15065747833641861912]
  [-94069685004360059481/147306769,22046550279081198180770463040581/1787862255353]
  [-29400782454365344106/12467961,653986561156470526669218304834/44024370291]
  [-6429586375302678804/1560001,30642097436790849570461288028/1948441249]
  [-267875344172183691/44944,132271746629062852402826511/9528128]
  [-648123971361861/625,203773060928143158582237/15625]
  [-100226937110961/100,12982412418852997051467/1000]
  [1805286024723046/361,21901827130163221386108/6859]
  [110920556414671594/33489,7447326842190232890963184/6128487]
  [131891759640452076/9025,43302155097118740511809864/857375]
  [140941780987533294/24649,23889322060939209688082526/3869893]
  [1163926349438778426/383161,589373961081265617021622128/237176659]
  [8145805666385274621/151321,23067158419801824363152038938/58863869]
  [209898531902728084161/46526041,119929673402671214137210782702/317354125661]
  [1678672756511499518719/520843684,20049038077497156426248387390541/11886694556248]
torsion generators:
  [13690851677475/4,-13690851677475/8]

2. [1,-1,1,-460855466999674963016476998152,114346210304297863156871290426720957935291979] N = 12334433622321215895724716304610404854359954238330

E = ellinit([1,-1,1,-460855466999674963016476998152,114346210304297863156871290426720957935291979]);
generators:
  [500377196720737,3004621962976095962381]
  [510232259383039,3469178130626886039287]
  [771611998707149,14769930934745969270873]
  [972614224161487,24211230454173535299881]
  [-16997923422676499677715147/23001665569,24998400109735179669722872576776781607/3488501605191247]
  [-1965470045313711707/11449,16814923987923146188227278683/1225043]
  [-82575272110633243/121,14024423438722708344713531/1331]
  [118962591094178053/169,25877659521017541478914557/2197]
  [415992646427510557/361,228872960220413725272363779/6859]
  [505804140331391767/841,180417793995221963535548659/24389]
  [167051245226477568613/66049,2087785399375569396967997508433/16974593]
  [362706393811116758893/1520289,7947634909249770703200697117897/1874516337]
  [865769947136977192201/5329,25474165930487603658452034170969/389017]
  [2259143602660144643509/7209225,16210790235559601053595801092253/19356769125]
  [3066581192810895907237/6446521,27205264631705234617670722523099/16367716819]
torsion generators:
  [317693260060237,-158846630030119]

3. [1,0,0,-24341212570918907364975008993335,46017718934663050280692506168501437161981737641] N = 44025871847742350339136611296547024333859559593162

E = ellinit([1,0,0,-24341212570918907364975008993335,46017718934663050280692506168501437161981737641]);
generators:
  [2679684176319766,5743208724939292751221]
  [3830205657410930,94746009226532528783681]
  [248692530822412292,123996459263874675185619989]
  [-24357366219621893729194/12369289,12780800324711069089205146322709305/43502789413]
  [-5689713812753183550106/1026169,106637181529781606685706325392561/1039509197]
  [-3474886522146359304061/770884,171425807990884197857194899480901/676836152]
  [-10893684461757643546/4489,90627209338751588956935955319/300763]
  [1450448593689441038/961,3359585621085550111111077683/29791]
  [3617391324999309902/9409,174881828890788008423472793997/912673]
  [14661523308436763374/173889,15204303785954660322126305820773/72511713]
  [71365277967895836518/19321,216566162988367157446427039951/2685619]
  [1024993157877255420854/323761,4829985843888039178710611304829/184220009]
  [1524114951491195305814/289,59501291886636930990369390776293/4913]
  [261345408258091968329750/189310081,319493036894756548050563346446048459/2604717404479]
  [62290281358323173311179254/3667392481,472830044484806929867950462519865063259/222093621256879]
torsion generators:
  [2691897204184342,-1345948602092171]

4. [1,1,0,-12537268201897972664569190300,537407455719654951639069821483479971892500] N = 46743260634842018618863285423770046153816518554850

E = ellinit([1,1,0,-12537268201897972664569190300,537407455719654951639069821483479971892500]);
generators:
  [440897999982527050,292756926324632028831015050]
  [-1156305732313161536518030/55649281801,11660354191656270884754823054507079290/13127721226137701]
  [-190697020545093296473935/5365123009,380627299501487686711611384039193335/392979165040223]
  [-20787558961327550/289,5075048129879403743065650/4913]
  [17987491699959896/25,2384806260747161132239066/125]
  [505879232188055960/121,359679812070870427081298470/1331]
  [70793355310323558425/678976,337402427062849740267540526825/559476224]
  [1980728604421653934719/32615521,18738227195017137089402547135/186267240431]
  [24718566890043784790105/421398784,534911727353849571300588745926955/8650474237952]
  [20183125691306015348859/11015761,2862128832376019620526025058878759/36561310759]
  [931206326097028480084840/9692993209,447227295702151041082823516575511490/954304260405677]
  [4459398429426190656287870/62145005521,1319563507756819821037782482840520260/15492066281324569]
  [6981827892134623952260028945/29027192760721,528891226933414061103493419472493896097510/156389487137816163769]
  [10422144319273227829929328990/108975915357409,525180122351283237983989168141151712477790/1137616253731042234577]
  [915890509382186397291307323705/5589073598651449,709528011558488185711408398294880123702139595/417839740266057382945043]
torsion generators:
  [273938270585915/4,-273938270585915/8]

5. [0,1,0,-1248869357683141748660243160,-4876649751055622525002422594205126924716] N = 66489049159927911945099447956450941788165109722672

E = ellinit([0,1,0,-1248869357683141748660243160,-4876649751055622525002422594205126924716]);
generators:
  [-16003029846420,104931961248755966622]
  [-11138017107933,87473122005189162396]
  [-7808317302402,66323802436362562080]
  [1887399160320750,81982156390805741994528]
  [121743491764184454,42478445202717796605052632]
  [-25879752251231239428/2301289,307245001477945283510248993590/3491055413]
  [-4811400031279389/625,1022360636501127748203984/15625]
  [-3553826403626106/289,456173382553645720202712/4913]
  [-181898675677194/25,7730694939400586495496/125]
  [336437066233732/9,701967728028195414170/27]
  [1933578120393684/49,29282765019897822775518/343]
  [93335319290666406/2401,8580428512188730511408424/117649]
  [598011854981587356/361,462344408670181128858396234/6859]
  [9407382976931797398/121801,25484006268034431464358162360/42508549]
  [21659978818433618046/494209,54464269435368534247761774816/347428927]
torsion generators:
  [-33195841876077,0]

6. [1,0,0,-409400407501145672374429749475,91075658316227433599720258143475077076650625] N = 177599378108948787912335962451915637757725844372530

E = ellinit([1,0,0,-409400407501145672374429749475,91075658316227433599720258143475077076650625]);
generators:
  [-2335864005896935129745586309284290/4577138393556897961,126582341530562225240314450610136186980650676336125/9792443305242158231251771541]
  [-3715373275101014957436788050/7988983537441,303697636377659203148802537494153593087975/22580694199922700239]
  [-362050639803131808612994/9238093225,9187296566565440473676110067365837859/887919330320875]
  [-11793695147606852029090/152448409,20814707151874450193847993771795355/1882280505923]
  [-4283243745082981816450/15031129,791774944740445679217558893884325/58275687133]
  [-9701360227697093895119/89113600,9750853930743964047723760556198759/841232384000]
  [2798858178321520750/2209,4161187146005479234094289575/103823]
  [25004065108141168942/159201,351666882944680178622652662919/63521199]
  [43419043896221025902/160801,30055346315835942653521815577/64481201]
  [785852881184857361684/1481089,8687004856134712864262184010531/1802485313]
  [3837122899092591007550/16008001,165963834110824936130665071978025/64048012001]
  [143335895999980615957310/559369801,22892321981730785223509142387907315/13229655163451]
  [430057826317780571974400/362635849,246432198431566791348182068112357125/6905674472507]
  [119465119438878449676903550/28778747449,1290991664718071927770975679373182033675/4882113053490707]
  [568388326843547054465577609950/2344208697186841,279512331533406381398373490330897139737214725/113499620473747499115389]
torsion generators:
  [-730773266756050,365386633378025]

7. [1,0,0,-3635332259215271286970001417235900,84311290079639932822856655654964969491572101846032] N = 216095858582728308893742177217643607485136038653170

E = ellinit([1,0,0,-3635332259215271286970001417235900,84311290079639932822856655654964969491572101846032]);
generators:
  [-65190603024930516,6652278419230975966040928]
  [23998194782033304,3300115022899654561593348]
  [29391200688944304,1689344115135726282966348]
  [29420146807628304,1680399762414432386073348]
  [31584462345719304,999624046964685922239348]
  [144357933635405091/4,2757434274236009285496159/8]
  [466441332170465904,316023929611923409666002948]
  [515111910532102904,367275981952250591129542148]
  [2600084813769317091/4,4175150443397367506982967659/8]
  [-168978512601106805481864/8720209,312720578507529989260084017473367396/25750777177]
  [-485147613487664876/81,7500916281543350892163020692/729]
  [148044979510031128/9,145306817181490729468338796/27]
  [19068116877419614392/529,3981274245413000608702763292/12167]
  [3899823088292135073111/77284,116411993534498724577730306654871/21484952]
  [77445206462484645004584/19321,21549785865935750076883820403644412/2685619]
torsion generators:
  [35527834228813304,-17763917114406652]

8. [1,-1,1,-44700175175144584563197015384837,112606878837296599453184780505115482103256620285] N = 373194485014698697229027713931389442079902239969278

E = ellinit([1,-1,1,-44700175175144584563197015384837,112606878837296599453184780505115482103256620285]);
generators:
  [-6674497450763009,337070405992539082633472]
  [3370317424408375,15384030974988478275560]
  [4712529176184991,81311270159101668469472]
  [5547697914584959,188055955665835775594240]
  [195317847999145459,86270356969368338446219340]
  [-509986188707079721/625,6021971894336665627147381408/15625]
  [-50640995165925689/25,55176095225381211889288576/125]
  [-15645192302294681/9,11614976509186423313374144/27]
  [517116188387614039/169,147039860879691871186214144/2197]
  [963524197526109079/289,123884510840525079307022056/4913]
  [21086036830735608823/3721,46113459407310498803541749504/226981]
  [34596284014333506535/10201,4197544081312655329120248640/1030301]
  [48266542259758564903/10201,86408116035293547872379104512/1030301]
  [54954793261166911517839/31798321,36092964203786370015008508171573760/179310732119]
  [2922556219235105732704285/44209201,4971612774155090849503519241497919726/293946977449]
torsion generators:
  [3393090920476159,-1696545460238080]

9. [1,1,0,-34444685391230787101989206997,1860441465752852048025411799379070728824585] N = 640259658391727630453646333422455570202860388634738

E = ellinit([1,1,0,-34444685391230787101989206997,1860441465752852048025411799379070728824585]);
generators:
  [-76781306939349455370328421814791/659840790694999104,1110543775663006431774936022406845081478430618425/535992533030491756533960192]
  [-1174218216835538341643620996106/21998242472622025,6144816327328464528471630757209817296093753613/3262736316975264771941125]
  [-141045541341465820945863790968/6742298596473001,887840570532414249138210864507479486797892761/553620257946591418084501]
  [-2245977562098000940123373/19214949924,5516547045703547265479672681155472989/2663537928565032]
  [-476517116657577293025932/2291632641,19608724668173730760275265345040047/109702746157311]
  [182480823600648126/841,52321100539808121056555705/24389]
  [1465938174524165456245/9840769,5778104002262919700926037543745/30870492353]
  [4699889619028607022606/27363361,143945466870643181129436318529675/143137741391]
  [130366775420850308239119/503778025,36247412233520798160998183910539182/11307297771125]
  [162807514315863148801820/652444849,49446516440289948701601896215426445/16665398778007]
  [189883103846819741314013105/1230699578161,638721991239420374690963225660297415490/1365299960324890409]
  [296847449011458386133856620/48490986821209,433719145574976840006896122315148237049355/337669265805869468323]
  [329224857035772081857992736720/2553805351969,188902835179087726689881316884730963764478115/4081141842183636047]
  [1030588967292859335471214284192/30461957711727151009,229249640634256358703146752280058122707497076147315/168126710695187957095764414223]
  [28691445333350186047401279422467/182200791030223716,45432110367023165141513838792085529573561557531/77772379592329174520147736]
torsion generators:
  [-833089813048405/4,833089813048405/8]

10. [1,0,0,-436520984169712563844803206505720,3494719553345674650555909435913973121316373774400] N = 685257784586218399524469100121851164597964542700910

E = ellinit([1,0,0,-436520984169712563844803206505720,3494719553345674650555909435913973121316373774400]);
generators:
  [11220302256204240,96975107231981048983080]
  [25707896710982640,3043505874168882776899080]
  [-687556742725164658978720780560/29275468883761,141006899476748568142184283634844143742462280/158400223255456851241]
  [-450735045255537000650771268684/39002335684225,644258422979242717366589385434920990752802356/243576801780086706625]
  [-1471919635118171727/64,599093990665871664315291597/512]
  [31776970521520036890/3481,106831776140423175379354163820/205379]
  [1840942275972193808040/185761,30170056412904059283593239943280/80062991]
  [2120011057652493336100/1610361,3493409012729241552849142111956920/2043548109]
  [86077557159846629612400/2550409,21244903406938887558351651438897960/4073003173]
  [1354333939109462221141968/272019049,5392617037865686792170618623263905192/4486410175157]
  [3577107378160919470285440/315879529,339261494877412175465999949781569960/5614126868917]
  [36747289440719828915501040/2791114561,25416548317881634851450352541200671480/147457373372191]
  [94423367976419520595713420/130942249,917146874960442124142403985426596420360/1498372155307]
  [109153647134375511014590320/8488121161,69137461287170585874834798504252835800/782019090684091]
  [51621118818862559479900037514600/5747345171695009,238082501921921223154324969864636330698534304560/435713404405627735966223]
torsion generators:
  [11398379614036976,-5699189807018488]

Rank 16

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,0,-70125739284257541584773900448595,224743012466763550759810773071275962457173164961] 2050943799731838770795008718676624626173063235165279006502 131.965650378 231.597131000 219.66362497 [[5129584179510542,-2564792089755271]]
2 [1,1,1,-357585268017125482099980994221405145,78511122853996073065207742221224270468256045274555495] 2774700096374548868697941163846920764265826133256711902170 132.267892969 257.207649000 247.34531136 [[404106371493727023,-202053185746863512]]
3 [1,0,0,-74478614497001051213037130703918863,7813308578453199795281011676368530519633974132260217] 4037723001611237548976485813408801349432131894744731730350 132.643031220 252.501063000 239.08558777 [[162161356727836102,-81080678363918051]]
4 [1,0,0,-2706381903778836656039400049062720,53529269933708805299470502391666979470354686054400] 4657372890037610572108520563138067741151339367609178987970 132.785801832 242.556365000 231.38410134 [[27281908556595840,-13640954278297920]]
5 [0,1,0,-13827205010356214233064186665515960,25588766749629734994801221790706597827765337655589108] 20694146997734910275982913658882094552149846425111944376080 134.277201207 254.871132000 247.41581367 [[-310306452720468589,0]]
6 [1,0,0,-5835343777752052984977406988936611537865,170517842323488583002289008130018056310590148361407089651225] 24873521719121352454158663977256178321790788520720666774670 134.461154154 286.307858000 274.45145645 [[41249130521081666746,-20624565260540833373]]
7 [1,0,1,-350118034100627899199059381753771143,79718109217596160364013393657928989116028766152608806] 44669319913005297558669849962700626503968806944547821921770 135.046637211 257.144338000 242.12705220 [[1348466899527896519/4,-1348466899527896523/8]]
8 [1,0,0,-2653537278084187322695250426187488,52377999300372020618268203510163981734577882350592] 53400310113364992979902636017282809299958520515445675366550 135.225166854 242.497208000 230.31859483 [[28105779981180352,-14052889990590176]]
9 [1,1,1,-13289838994665810001275530484957555,473548064728498241109179227952712848094866812097841] 63934647124365089579328637948067895428628586695757133189454 135.405211724 247.330527000 238.84053281 [[-130112861446692445,65056430723346222]]
10 [1,0,0,-10324797226271342424445978043326788,390142228304621475813271888061311995159824186034192] 68662277096507810514384315090839189136158273578762149529950 135.476550253 246.573173000 236.40819751 [[49619113514201352,-24809556757100676]]
generators for these ten

1. [1,0,0,-70125739284257541584773900448595,224743012466763550759810773071275962457173164961] N = 2050943799731838770795008718676624626173063235165279006502

E = ellinit([1,0,0,-70125739284257541584773900448595,224743012466763550759810773071275962457173164961]);
generators:
  [4011125375232078,89416913858436189809529]
  [6576372845569758,219064937612195671731273]
  [20693955204040404,2763247892048250754871955]
  [101814396335978814,32380710357493942041363225]
  [1768348194780203985/64,2254042173260881531239849213/512]
  [6661029569181270834/25,17183040655816079582336464713/125]
  [7140827896366670526/1369,1500999993494766220087386165/50653]
  [14304799441228871058/1681,34060039425423379190003026329/68921]
  [14678575361306770758/3481,13018372123599098657811079971/205379]
  [18076771028524845598/81,76803271743698979341113018817/729]
  [322330764564225228540/9409,5628086295050009828955380074473/912673]
  [164548871336383594449456/28058209,18315428816338941065096354853878223/148624333073]
  [516542169431021749047642/114340249,14541921904075744266251065549375761/1222640282557]
  [3416375559827424969684606/759829225,384845062875762659866079899322823501/20944692587125]
  [20377855121971249896247182/2999424289,40871033643489795133236697377701434839/164269470035663]
  [598946995332182445750772854/112766341249,1742280565256025560591922699365082985623/37867726755802943]
torsion generators:
  [5129584179510542,-2564792089755271]

2. [1,1,1,-357585268017125482099980994221405145,78511122853996073065207742221224270468256045274555495] N = 2774700096374548868697941163846920764265826133256711902170

E = ellinit([1,1,1,-357585268017125482099980994221405145,78511122853996073065207742221224270468256045274555495]);
generators:
  [436367904425598959,74593788848706085046383080]
  [-138559834988342037237487777/226472401,890520691993236561938976947107962716712/3408183162649]
  [-32334673496301996584137337/182007081,906962413065040224076410674757764803448/2455457529771]
  [-71981611334895918470177/3243601,1717464128053591113598017046874331688/5841725401]
  [-71742921369976977754513/113569,8753577523888195469611813308727464/38272753]
  [3000422110363073411257/10609,1088947129672333688465647139026/1092727]
  [9493418701686607673623/22201,203731275184211567680442776639112/3307949]
  [89450547725477665096623/201601,7681756970030738599315102117291112/90518849]
  [621918845310719667960887/1530169,33601003606374885225370427383185864/1892819053]
  [1616691537061762363015367/5929,2055605182067286803658142200839524104/456533]
  [471405565182214779354164047/2229445089,11700799584440316886671469513538966528744/105267708767313]
  [896492895387936362606983167/58874929,26821926418671806397901752778116669705896/451747330217]
  [2666692768900812844258389103/4839845761,74348675494265537742377243891715430372392/336703229747009]
  [6005247140560563430771247055/33497418529,870635001210684441752615177489759996031128/6130798031433167]
  [39889718302054752323142029167/97764404929,707915935470821487790561470024285790945896/30568289782365217]
  [462166352624941524318849543783/27656022601,313995135278429243675591648771758741244244488/4599224214568901]
torsion generators:
  [404106371493727023,-202053185746863512]

3. [1,0,0,-74478614497001051213037130703918863,7813308578453199795281011676368530519633974132260217] N = 4037723001611237548976485813408801349432131894744731730350

E = ellinit([1,0,0,-74478614497001051213037130703918863,7813308578453199795281011676368530519633974132260217]);
generators:
  [-310720537090836082,30921345983613377367432077]
  [-237906260208257158,109849389448240194789714629]
  [-154270142490639358,125026466140984196544965429]
  [177288480792769598,13472149756402112242668845]
  [1159975142075985683/4,823743855739228492917291667/8]
  [586329223354907438,407079511491991301643000965]
  [-4268142720661780865443/913936,78930722991572916201191293642622029/873722816]
  [-363974277303453525292/5329,43635200499636613673578116110933/389017]
  [-7055503944221450914/361,660086647903860703699062894095/6859]
  [14264963340788166713/64,24479482998833027941910176273/512]
  [2764409561766147910958/11449,76572041912665819822750773512047/1225043]
  [22230144638597768803238/214369,3445401120213003698384902728765203/99252847]
  [27732438078959310770542/201601,1183778864131379436468527939435021/90518849]
  [151529577575708468807468/923521,2841093182264491090118066520788327/887503681]
  [336763059968161217203582/447561,184033774648337232701656011140699521/299418309]
  [275188664581017270069721448/1903315129,681477300669137981971591410261652163327/83035929132883]
torsion generators:
  [162161356727836102,-81080678363918051]

4. [1,0,0,-2706381903778836656039400049062720,53529269933708805299470502391666979470354686054400] N = 4657372890037610572108520563138067741151339367609178987970

E = ellinit([1,0,0,-2706381903778836656039400049062720,53529269933708805299470502391666979470354686054400]);
generators:
  [-2444046140789992946886720/143017681,16651828122563729682860030248908178560/1710348447079]
  [-2076774779730084522360/657721,4201553727509615618081412340404480/533411731]
  [-25977384715861011210/3721,1927108165601262954032226304230/226981]
  [2135076990478270689/64,311745418559039860277318979/512]
  [271925412154445852301/10000,207282615316348628231529371499/1000000]
  [108225208733951064524520/2301289,19204781562837876115380502355953920/3491055413]
  [176834239890189215404800/5340721,5774056458550050561959509574393280/12342406231]
  [1775644256142638001637955/1811716,2362836415839724165861226030852895415/2438569736]
  [1575854446583075401302528/45738169,336445051947159598333610044353507264/309327236947]
  [1691720375353861939340160/35129329,1229655154972523797314657691180319040/208211532983]
  [18096175034864370351464880/133148521,72000571228563946467976336663992531120/1536400783819]
  [1731776776819240223845947648/29387216329,50046035415357575609060600250020858121408/5037762333631483]
  [1928799843893888043256928220/142815212281,237972255189638450521361226188291950906320/53971154057900429]
  [1976208709812282482164086240/47777653561,36703551513464631230946551312248850297280/10443287293016941]
  [3272723992107066014754499200/86789749201,57711903370207855967938473354638658889920/25568346904363801]
  [12840002751040210974917164800/392450878681,17659385451964071789582345819721118819520/245854385007620579]
torsion generators:
  [27281908556595840,-13640954278297920]

5. [0,1,0,-13827205010356214233064186665515960,25588766749629734994801221790706597827765337655589108] N = 20694146997734910275982913658882094552149846425111944376080

E = ellinit([0,1,0,-13827205010356214233064186665515960,25588766749629734994801221790706597827765337655589108]);
generators:
  [-375604811545369835485467569767054446/3152180152208892289,894469484496439577003880438106216667645329507717484100/5596500478664513895348750913]
  [-1606882326080455192253021826650361/5411889116884849,23614640019139738433726667168642412643087188714950/398128561539424385158007]
  [-89890587751894789325786009766846/345544117459489,691237976033132869494311767082205326678983584300/6423256364880945934513]
  [-617066391706946227245368169/2679201121,17843723561497612605104203527904231648950/138678129224081]
  [-79073116275369166720769406/255136729,41744492708606026891349289527064390900/4075298972317]
  [-2195162079539698076511564/14055001,8152575974162741549288619477372001950/52692198749]
  [103416112919650115277/4,1051666753144846722148996005429/8]
  [237094391218094951298786/32761,115435462765020751954379371715056620/5929741]
  [5727466990889137227529719/22118209,20640365165423190892319231923405991430/104021936927]
  [434409319838980465567602476/5524800241,64913910671465562546628894578889297416150/410652877113289]
  [5813053400029724784515877066/7890481,443206849192585766864529751791935305402500/22164361129]
  [63538336564965659314400612514/726682936849,98040591886849053930058484688454401514092300/619465956297487993]
  [5511600157961476560446649428706/15009278420761,15387784387868076249066471782197929767817836820/58148661281422271741]
  [2057860603385337380601768876438135084/6545185100383147969,3830211892447333739931830791240126510482335843298375450/16744913160329167581240641953]
  [2422012484868160700455074836037759114/2086036356883609,3769333497515052959444707818877036681864018457899329660/95275845175289535747523]
  [321006037538460624181201420523016743826/307029065319285806641,5779292347622757431475752466213224076138069122916134962500/5379838465038779702798359988311]
torsion generators:
  [-310306452720468589,0]

6. [1,0,0,-5835343777752052984977406988936611537865,170517842323488583002289008130018056310590148361407089651225] N = 24873521719121352454158663977256178321790788520720666774670

E = ellinit([1,0,0,-5835343777752052984977406988936611537865,170517842323488583002289008130018056310590148361407089651225]);
generators:
  [74014334626401055930,379576461508251232138903894435]
  [-58500990487130642905415318182418150/1181549258016241,23614332897020651297261353551929433114427976411845765/40614185465344380790711]
  [-27973657365211750712877861793670/425248756321,144020198859784213675287717331272877313010999085/277309391733243631]
  [-120450411339871705043144983646/1648766025,30453908876092698954486643540943089855705823/66948144445125]
  [-461032749275875539048449030/8567329,14377029291891311487705335574649119856205/25076571983]
  [8669452629792710061322/121,461515637174418413139284110253657/1331]
  [79300442469157195198288/289,21544199608097274494997372657565061/4913]
  [288895707442296252423850/1369,146251418034788256536749904075548855/50653]
  [1476987538586619167761516810/51529,56762786378202284627604559749999016535825/11697083]
  [88879445889965500197905205730/1885904329,1109632396909627996663881210036344818915385/81899167295483]
  [1231725399818760863270269707610/33558942481,467612586362736697011588227242447241645024885/6147696232036871]
  [11876945965524024362173113006010/7744176001,40881617746997151269285399792213279907275507555/681495232264001]
  [56211369220555959317886883035745/1377130414144,29721310907042485276315108603402693249941961205/1616079066562953728]
  [54692541757082092184809784706718/1122165218329,51641839426314582127339154819227684470289105649/1188735425575931267]
  [136547557928668367552050387531930/10161412163809,9958999547842947057887640698726238817197473285555/32391503070337457873]
  [177494852139723587667154031201376869050/4337653289920696321,144058652241091615782398954937442997823843928600308604835/9034045085770541651207034881]
torsion generators:
  [41249130521081666746,-20624565260540833373]

7. [1,0,1,-350118034100627899199059381753771143,79718109217596160364013393657928989116028766152608806] N = 44669319913005297558669849962700626503968806944547821921770

E = ellinit([1,0,1,-350118034100627899199059381753771143,79718109217596160364013393657928989116028766152608806]);
generators:
  [336723639306484325,1939783285706651332429632]
  [100304027013478586123/4,1004286701102481817409869147839/8]
  [-190796507246457898091087859949136755/1087765889089464649,417970992072996486299306753849344584406146977250077376/1134496482463992637366989893]
  [-253219474021160411940304675/1022784361,12720000982820226661114418266563776737362/32709666649141]
  [16739931735380598108644/49729,24232619716782336362131771853778/11089567]
  [2101245384445273844417531/122899396,369970822943236918935776359647890353869/1362462704056]
  [2514610358438468694305720/7219969,97149647057384817261055857514143171/19400056703]
  [3407488916351076119572730/619369,6255043086629375944835529993033211071/487443403]
  [7954951877440925879234888/21187609,3365669916052609678348374467220437358/97526564227]
  [32485240982384442001628165/144024001,191087418367187361090986365418119567482/1728432036001]
  [177312097848877669212260005/587383696,557967831424152034813695806109342142147/14235831256256]
  [2193963036111735666495800789/6326611600,1304063546948965494669122698229757490533/503218686664000]
  [26077237932572393807597078005/77502662449,54445719968455985141417012868476328344074/21576198707164457]
  [144174552310166095669917472675/180704908836,42648911383786447365265859463928269676258753/76816572516730584]
  [1752306117849194400534791843555/5326674745681,146174601811236960044569850471651230606927998/12293746919367175079]
  [152658079389260696386403812537064/430575572599225,110355956242832188115528607056606599925667954183/8934578762739287505875]
torsion generators:
  [1348466899527896519/4,-1348466899527896523/8]

8. [1,0,0,-2653537278084187322695250426187488,52377999300372020618268203510163981734577882350592] N = 53400310113364992979902636017282809299958520515445675366550

E = ellinit([1,0,0,-2653537278084187322695250426187488,52377999300372020618268203510163981734577882350592]);
generators:
  [112218440801456419/4,971239976528185947279215/8]
  [-1481731459068902970853232/30283009,1344303228551963143739090926351273648/166647398527]
  [-237495860332869901054478/95199049,7133618470768715061768367034895253516/928857121093]
  [15824662583703134015488/310249,1218652920596981622735385313112992/172808693]
  [256982201004641863503808/1814409,122633687073103410718965927879420512/2444008923]
  [769905107009859655615008/28015849,67940821897342342501075062812737728/148287888757]
  [9494313233032827441547912/126990361,23596980591930688822421873989795714936/1431054378109]
  [10414720650916475257239808/332223529,155436285395729047545000858015634592/6055438263083]
  [56388458021304880319440432/3348821161,684368328974845746224061965309525690096/193792931765909]
  [210482485171580879011823872/6695985241,89314302788478751769009086476486914656/547925776285789]
  [196086490592611908219909070912/6049430474481,9672399594861375706457598418884264202812896/14878931168384013879]
  [309000117219521927362787610688/9852272601889,2195509381446608871632579240394792956802848/30924638367805055537]
  [539635754564083630100319416386/15011897481361,107905907814189819652670788149323231453904196/58163882017585340359]
  [606777413127470774157204679648/29176342689169,392017413119854012348299619937786086856416288/157596394328001312697]
  [139840260922877615799398949014940667/635723733510705316,50971646319298486405843313372819287545932522406156641/506877061558291002106091864]
  [43334586209616100125137682447450784/1592322804383871169,1134985981039241716381685216515822971204005062590752/2009308735355391110681419553]
torsion generators:
  [28105779981180352,-14052889990590176]

9. [1,1,1,-13289838994665810001275530484957555,473548064728498241109179227952712848094866812097841] N = 63934647124365089579328637948067895428628586695757133189454

E = ellinit([1,1,1,-13289838994665810001275530484957555,473548064728498241109179227952712848094866812097841]);
generators:
  [-215317405760846432053780042100098821/1744931678394221641,35302090198760028432014871042754217264906363469247334/2304982543630846513263717061]
  [-34787331426017813315140377172357277/483338677999348161,10926018785760998621903432956292957443940536238236562/336029437398802642819914591]
  [-18354209760856239243652766468822297/141832629834506361,273697043306133100833201964637426344478402362844494/53415123071106511614915891]
  [-1557126029648746607208087536293157/42433131292483369,263943837339108249819871655099905071176659454760454/8740929584358384452301653]
  [-1609313669262904885099153743705/12843457585729,602719773119818509929992093237953260934916866/46028087896211118433]
  [-17684732225297607681301445429/8211909803449,527335013082957880334857891737736850092143338/23532401844885002707]
  [-1690319845352891551005798809/170157075001,1725856063761715668885063866907788747568302/70189963594987501]
  [-1587848945602921802322716301/20500226041,94577179764571289224057101656751445597986/2935201864324339]
  [-45997833712810128769/24649,86389839220022476236990752332398/3869893]
  [34077565928515757270171/310249,3181646874822068842727410341566598/172808693]
  [121975569442302771554763/85849,42463040960933334046923637945901398/25153757]
  [109803516912717538271732069/2864818576,693887859751480558429314257668374072981/153336549461824]
  [8461744623999466006916827147/141443449,778375334464241633445470890478186160909014/1682186938957]
  [434333681430099694640342720899/29563219960849,2696763663479699854120761801669874617603419426/160741346513667908743]
  [2971065901020411025487781218887/90303416901721,7277196535106359601668410115494812928137128558/858136303471260237731]
  [897079116953510273136554074487955/10025528471808721,900434664752313971533267840542844577077218376062/1003831713618264492259481]
torsion generators:
  [-130112861446692445,65056430723346222]

10. [1,0,0,-10324797226271342424445978043326788,390142228304621475813271888061311995159824186034192] N = 68662277096507810514384315090839189136158273578762149529950

E = ellinit([1,0,0,-10324797226271342424445978043326788,390142228304621475813271888061311995159824186034192]);
generators:
  [-4302284271334368,20844251181794696155174884]
  [31808559245937672,9690650600837588595645564]
  [44987369554785702,4087181339733125379422424]
  [47342411937297752,2729498205143313473276924]
  [128810488475041032,34604074297919522615509884]
  [161529732731328852,54194010517975152608629824]
  [292426231085538132,149590020956346498854539884]
  [316248421183346696,169569793622624672769062780]
  [-37011091318218949383672/954529,25234436077995270822418632421706172/932574833]
  [-8511845248282400070728/114921,1065878478335573710988580257693396/38958219]
  [9198521954044940616/25,26926765117984801479361869324/125]
  [11913695328458761608/529,158189053672573946406961438308/12167]
  [24333272542434910692/361,4601464519683300026315588976/6859]
  [26108474509484820552/361,31961668756364159266990870356/6859]
  [55413590111582358216/25,412074189237796306744215897996/125]
  [6293552205013999379322/160801,437317895892237053301286910066814/64481201]
torsion generators:
  [49619113514201352,-24809556757100676]

Rank 17

# a-invariants conductor N log N naive h log abs(disc) torsion generators
1 [1,0,0,-53841083898236582744512394752567955238,152040732478837697112301241289765721129521047217147781092] 3633958535429087440559985546561230089154484056735382962822667450 146.353183418 272.250904000 256.58273925 [[4196064619378355052,-2098032309689177526]]
generators for these ten

1. [1,0,0,-53841083898236582744512394752567955238,152040732478837697112301241289765721129521047217147781092] N = 3633958535429087440559985546561230089154484056735382962822667450

E = ellinit([1,0,0,-53841083898236582744512394752567955238,152040732478837697112301241289765721129521047217147781092]);
generators:
  [-4802607414307397416462368/1164241,21900930456404710104591694598978918586/1256216039]
  [-6412672703849423502384/13225,20292926270812982671743346722817794/1520875]
  [79778036415196702270113/10816,14058328124430909411630699345809253/1124864]
  [9247500360920298363596343/2244004,1289443545413676144223126458705211893/3361517992]
  [17055575604334797626963028/3988009,88487536331349967758400616905749642/7964053973]
  [1077734389391706310395463842/285238321,7692101853399726461616000057838556666256/4817390003369]
  [1614994576485744722333183148/377175241,553506387622937569242082474352040264882/7325120355461]
  [5507240000019512659764152772/16738925641,25103248429448149799270650307504461845407406/2165665460506939]
  [47000638699673378861884541772/10866603049,321222750377731705699611002100014538538734/1132767301636907]
  [75924507648322840132605774252/10576271281,12660218325367796210788316090549813465305434/1087674314809321]
  [186806501067797048081492313852/44669245201,1225312108918336100862440618166341123722374/9440889642476551]
  [477548328864233486977033084104/38803090225,281203507561078797192609597434904825646550238/7643626727971625]
  [8641053249013966174255122398706/1953870000481,1782972684410882486102975668815027064626964320/2731137071502346129]
  [72849655150974142636675968983622/17666360640769,27738320813515876751709568165330506619250921070/74254134064559892353]
  [4497791835397316855343558730552596/627663381410521,182161395677868565848488729058482704431049376320230/15724983131451260232931]
  [5240980104291669418608357119239068/484157664837889,308331551486467429448202420231897351071842696612278/10653203363346672156287]
  [15165488900656768857840906840162732/7326413123391961,4410280808249198865392758173263011419775820781782946/627100440971366380663709]
torsion generators:
  [4196064619378355052,-2098032309689177526]