Home

Elliptic curves by rank › curves from parametrized families

Family curves, trivial torsion: record curves

The curves of the family collection with trivial torsion, by rank: for each rank the ten smallest conductors, with generators of the Mordell-Weil group. 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)
13 1 77.797376 133.499295 122.654786
14 4 86.302214 118.895015 107.509435
15 31 96.221261 143.803830 130.397860
16 10 107.476877 140.434938 129.362861
17 7 119.205081 166.121473 154.823295
18 54 121.679197 174.873853 164.570944
19 22 137.181568 177.099895 168.856301
20 4 145.330821 183.299543 171.746410
21 1 166.030476 250.998913 243.170123

Rank 13

# a-invariants conductor N log N naive h log abs(disc)
1 [1,-1,1,-436310955532960527,112846956426714047002616151] 6123097265055066089589840571083130 77.797376126 133.499295000 122.65478620
generators for these ten

1. [1,-1,1,-436310955532960527,112846956426714047002616151] N = 6123097265055066089589840571083130

E = ellinit([1,-1,1,-436310955532960527,112846956426714047002616151]);
generators:
  [-50572578236245/1104601,13374834706184727091922/1160935651]
  [-736347313769/3481,2872949501199906446/205379]
  [-60096839079/121,19151519751388294/1331]
  [82397349019/1369,471926571198420622/50653]
  [102821792979/289,7997510764619302/4913]
  [442750283691/361,258695157795342786/6859]
  [1061422911395/2809,206938822529311334/148877]
  [1736675351099/24649,35140513572702263582/3869893]
  [4518522490011/32761,44092709038287800334/5929741]
  [56082908530771/130321,102859845372503479894/47045881]
  [142132001734099/351649,331419949892071178918/208527857]
  [4986998285820611/361201,351778040017672184028854/217081801]
  [333312921625016779/442134729,135476558638607240071964642/9296766946683]

Rank 14

# a-invariants conductor N log N naive h log abs(disc)
1 [0,0,0,-3370586666212675,76069514354557189301650] 30239553988680199011012997656810906800 86.302214150 118.895015000 107.50943484
2 [1,0,0,-676949955683792375180,6774185193529449205974329237136] 64823059758794683113313058957453843262 87.064724748 155.505990000 141.54876272
3 [1,0,0,-1821594999523082004985,30572527299608259335494097567225] 160469497266595942217156089396470590370 87.971167224 158.518455000 147.89241348
4 [1,0,0,-23698510935772295053600,1491453894614401920718085048960000] 14191329286099508696983288098736791677232510 99.361205070 166.293265000 156.66329327
generators for these ten

1. [0,0,0,-3370586666212675,76069514354557189301650] N = 30239553988680199011012997656810906800

E = ellinit([0,0,0,-3370586666212675,76069514354557189301650]);
generators:
  [-8226803165291/160801,21828489849861861352/64481201]
  [-27402461539/841,9486711919743784/24389]
  [-355175651/9,10373935330232/27]
  [1290262825/36,7801982120195/216]
  [1968610025/49,25439705075140/343]
  [53777373570/1369,3314391030617410/50653]
  [397278294589/6561,162924971086365112/531441]
  [441151055470/12321,49073135037758920/1367631]
  [500399545035/19321,210548210215808930/2685619]
  [589023867361/25,452062020760330516/125]
  [44989621934785/927369,146005305958955503540/893056347]
  [302414326632685/6932689,2003263557432458101160/18253770137]
  [2513883080191026/1380625,125979383508362895411274/1622234375]
  [21012805169832645/924707281,2977341746122327570795720/28119423707929]

2. [1,0,0,-676949955683792375180,6774185193529449205974329237136] N = 64823059758794683113313058957453843262

E = ellinit([1,0,0,-676949955683792375180,6774185193529449205974329237136]);
generators:
  [5008601050,1873299159542656]
  [14091965098,181821221195734]
  [31861828984,4189338462557236]
  [90905734528,26390618429446324]
  [141820719064,52566318350410996]
  [-2711633696936/121,4351792169858633180/1331]
  [2031386854759/100,1185441978696424453/1000]
  [701330830804/49,44978556203566588/343]
  [3709110196006/289,2197482113050138160/4913]
  [6074752392664/289,6649980848035993844/4913]
  [10378374352792/289,26354899364468865524/4913]
  [39183811876888/2809,31754058074413189028/148877]
  [91600893271990/6241,7280377620754142854/493039]
  [144725821810732/9409,25829377954258931632/912673]

3. [1,0,0,-1821594999523082004985,30572527299608259335494097567225] N = 160469497266595942217156089396470590370

E = ellinit([1,0,0,-1821594999523082004985,30572527299608259335494097567225]);
generators:
  [325142228900,183878897079314915]
  [13770294198170,51099033561358336115]
  [-33474386507574190/1274641,11174707088265020350308875/1439069689]
  [-10035157338892/529,92901882301073186197/12167]
  [180838970330/49,1676846081504767445/343]
  [23372771550410/841,28990696327025383135/24389]
  [91526672680970/3481,189826720236292488985/205379]
  [159236526740757995/2149156,54784531466719497754043815/3150662696]
  [176755196060986730/5822569,25327352618638780089592655/14049858997]
  [582039982534223810/12201049,308015146409955121276740215/42618264157]
  [821647788740836970/22629049,377541984730798983753574615/107646386093]
  [4594314976302356954/1181569,9847023804073851622152320141/1284365503]
  [278703497271129190970/693742921,4627559600843104266544411057585/18272494796219]
  [1002098698184233305164/77258982025,64877859256375619423710506353953/21474520348758875]

4. [1,0,0,-23698510935772295053600,1491453894614401920718085048960000] N = 14191329286099508696983288098736791677232510

E = ellinit([1,0,0,-23698510935772295053600,1491453894614401920718085048960000]);
generators:
  [1006810499812,999100346511651436]
  [4844977118000,10659111632880965600]
  [174450736819502,2304140866389458395052]
  [-12495225320948650/76729,682786327903995004591100/21253933]
  [-4576913074432660/337561,8344528854877753767838960/196122941]
  [8882072781500/169,43449009991205097200/2197]
  [29004009969096175/26244,4894143686524402376326325/4251528]
  [194215221556989524/2982529,77156011332939520995864016/5150827583]
  [221579721869416352/121801,103941381739473226865042048/42508549]
  [368949925741095920/606841,217569125459360052700535200/472729139]
  [679373773996923200/10182481,467818715545208136261162400/32492296871]
  [1862711790604588300/400689,2540875405360440980222762800/253636137]
  [358764595496990181200/2484723409,4070059655547785652795422567200/123856007768423]
  [677669436961936655600/8479278889,8111680500847885701497508966800/780797437935787]

Rank 15

# a-invariants conductor N log N naive h log abs(disc)
1 [0,0,0,-90058939860879863964,267621047611184759750191622484] 614275004417956974155832987321194756025816 96.221261345 149.454591000 140.91558632
2 [0,0,0,-45939169721451367000,121907730520963882158181671025] 839460797009368505972795691895184497465700 96.533578404 147.469269000 136.61958105
3 [1,-1,1,-82413885374908508297,292698865810461256400311327369] 1275617518880293521724957974279207768396330 96.952004296 149.221029000 138.32568481
4 [1,-1,1,-13662046800505150080,19502544910040264413236982947] 1420788475810834348926161744515668436161350 97.059785888 143.803830000 131.35008887
5 [1,-1,1,-21664536092368989483962,1211421510201967631021712130975225] 14042322193056419892667245712152589034478846 99.350649689 165.903494000 154.79156455
6 [1,-1,1,-43176355033090185214782,3146680396370087884623701578098381] 14764991058755643231827406619097421037679710 99.400832815 167.972343000 158.74349334
7 [0,1,0,-19756268211891440208945,1034742790783207272585533114009043] 77679674411468101799913098992092053868600120 101.061167538 165.626876000 155.40361466
8 [0,0,0,-42031315526150120628,104878881536064911946696679652] 104656453450901403256135312898174526733898760 101.359257020 147.168443000 130.39785965
9 [1,0,0,-8816660321256855552030,326672443189551662944133052477636] 259732624552341531016169415899628926782651758 102.268226641 163.256167000 152.77639509
10 [1,-1,1,-6239095573145534820954,205431266849224003584410123828889] 496380225956301438330246347547456506319857378 102.915916123 162.328474000 152.95937893
generators for these ten

1. [0,0,0,-90058939860879863964,267621047611184759750191622484] N = 614275004417956974155832987321194756025816

E = ellinit([0,0,0,-90058939860879863964,267621047611184759750191622484]);
generators:
  [-5761796415,771518302086987]
  [-2049957900,666050665197078]
  [3061386681,143552761204671]
  [54335163606,12481526385181854]
  [356904223980,213145040651990958]
  [-18201802657239942/1708249,295248152063005923324654/2232681443]
  [-114945365852052/11449,489730536044545592394/1225043]
  [-49522912237268/11881,978230098712654483878/1295029]
  [-3001255401866/289,1414458381142144702/4913]
  [-1230439176870/121,483368595566815602/1331]
  [-554319646388/169,1596006257127099706/2197]
  [586297165777/64,235409154676424729/512]
  [4516028562897/529,4231541742808993011/12167]
  [20063524257316/361,88620454602539842814/6859]
  [238142653321788/361,3674608211679814738602/6859]

2. [0,0,0,-45939169721451367000,121907730520963882158181671025] N = 839460797009368505972795691895184497465700

E = ellinit([0,0,0,-45939169721451367000,121907730520963882158181671025]);
generators:
  [-7589103950,182904966707645]
  [102085010,342372741006205]
  [2939097370,110800825267405]
  [5054115730,137217404583805]
  [5645839954,206171170906883]
  [7282643860,416650913769545]
  [7325396066,422464587210211]
  [13249057030,1356083906254805]
  [17135305410,2089490842261795]
  [-705370040020/121,582615603775614955/1331]
  [3343834555/9,8744453790655310/27]
  [53506663180/9,6554093878744685/27]
  [59286762715/9,8754919780131910/27]
  [1012077719350/121,756254396728839505/1331]
  [217275061169071/5625,3156437458124550310256/421875]

3. [1,-1,1,-82413885374908508297,292698865810461256400311327369] N = 1275617518880293521724957974279207768396330

E = ellinit([1,-1,1,-82413885374908508297,292698865810461256400311327369]);
generators:
  [-157001529495317777/22686169,78783189782687354636082292/108054222947]
  [-509139558204233/96721,22921564884572054102116/30080231]
  [-101293859448773/10201,374283001317723370636/1030301]
  [39510444398647/6561,64623859578504036476/531441]
  [405644474921947/42436,5377046017583953073551/8741816]
  [147988730878663/7569,1633777152191856680308/658503]
  [3360622593363719/591361,40366384218707018725372/454756609]
  [12258728190912583/332929,1319472430914772321718588/192100033]
  [16009317407270903/2879809,389376484776432327898508/4887035873]
  [223411597817532583/31329,105598594744388995261689788/5545233]
  [535149774064617367/100781521,70110802739596555240799684/1011745689319]
  [697077070753923007/149352841,179939513993579102228274796/1825241069861]
  [3277997169756366667/254689681,4747043054273405555857756024/4064592619079]
  [75852804130373041423/18645124,660626928816929446545482903777/80509645432]
  [872105270800291709143/238762208689,23450915228881451683801387186012/116667094318332137]

4. [1,-1,1,-13662046800505150080,19502544910040264413236982947] N = 1420788475810834348926161744515668436161350

E = ellinit([1,-1,1,-13662046800505150080,19502544910040264413236982947]);
generators:
  [-1326370691,187857133688865]
  [2315119469,16785775741585]
  [-1951009146675856059/4514092969,48266386914362342885064748875/303288364308203]
  [-53637091363425375/33651601,37666195072073884256546833/195212937401]
  [-423881434022267/151321,11136461551535429472045/58863869]
  [-4480417523231/2025,17972583896421667457/91125]
  [-1134980174491/841,4594112304170361445/24389]
  [1802722055371/900,355594169798641379/27000]
  [8624136200381/2209,16634343948013456175/103823]
  [21462627006301/9409,13146350492237944705/912673]
  [214025437589725/97969,278331552420474679801/30664297]
  [7107942011662229/2337841,278485373984735222725465/3574558889]
  [8385526435667069/2193361,494249471096021607312665/3248367641]
  [27451426117073941/4108729,3963337572991914749202995/8328393683]
  [244806109480178181/193293409,174801740444311620580339655/2687358265327]

5. [1,-1,1,-21664536092368989483962,1211421510201967631021712130975225] N = 14042322193056419892667245712152589034478846

E = ellinit([1,-1,1,-21664536092368989483962,1211421510201967631021712130975225]);
generators:
  [76497113441,1339171746360871]
  [575344240079,423317415759949735]
  [-140778432973432207807/866890249,539603461163731163640866026829/25523849601307]
  [-74203019090399773/707281,28709500068670510060082807/594823321]
  [-12942922060295/2601,4817814353507498890829/132651]
  [-4177997151671/25,1603208438672738923/125]
  [585009509149/9,238215283244877397/27]
  [1915936934569/25,138132178293388843/125]
  [95030863616473/441,749473770036736623019/9261]
  [817568137715609/12769,13441123281561410341567/1442897]
  [4043208558218977/62001,134546958874463223293663/15438249]
  [178405626681873409/2380849,10882326824238855970168097/3673650007]
  [6265883726427671479/4592449,15596822293018047454499963567/9841618207]
  [17590161076295062033/230523489,5632813929392199123376004425/3500038133487]
  [40355898555315159677/108764041,238620158295947533602939302375/1134300183589]

6. [1,-1,1,-43176355033090185214782,3146680396370087884623701578098381] N = 14764991058755643231827406619097421037679710

E = ellinit([1,-1,1,-43176355033090185214782,3146680396370087884623701578098381]);
generators:
  [66143625441,24087655189477779]
  [162523275241,20551743183202179]
  [174528605375,30452392816847747]
  [174611160441,30517721022327779]
  [184082746041,37902025679988579]
  [220861989241,66214061848214179]
  [277675883609,112104903006057091]
  [567176004281,401387501338392419]
  [628879494675,474034644101786667]
  [1327895151721,1512380861141715219]
  [-277510454421911/5329,28197410553672918651243/389017]
  [-24565349325371/144,128706394042569452987/1728]
  [14881938853409/169,11512926098273763103/2197]
  [916826196850721/11881,21451732401795707340991/1295029]
  [2372875516937729/26569,7454107653872638196113/4330747]

7. [0,1,0,-19756268211891440208945,1034742790783207272585533114009043] N = 77679674411468101799913098992092053868600120

E = ellinit([0,1,0,-19756268211891440208945,1034742790783207272585533114009043]);
generators:
  [-153573980413,21136560919104330]
  [-132672109269,36339632373079350]
  [-130443636729,37312907120665470]
  [-93187712919,45459287463243150]
  [-79849565313,45860169404050050]
  [4647574806,30708703062353925]
  [53647977831,11369410413508350]
  [61642098231,7151882365526850]
  [93445014831,2139428740147650]
  [105065311281,10900955733837750]
  [130981594191,26347273711125570]
  [375794105001,216056825016557490]
  [448122944031,286654747230762750]
  [650678496531,513483842254682250]
  [2870123503191/25,2090808457604774586/125]

8. [0,0,0,-42031315526150120628,104878881536064911946696679652] N = 104656453450901403256135312898174526733898760

E = ellinit([0,0,0,-42031315526150120628,104878881536064911946696679652]);
generators:
  [-4245178274,454757809168530]
  [-4052799479,456788134255635]
  [-1353239954,399097989256590]
  [1784089306,188600031882990]
  [3722497921,127328713785]
  [3775013696,2604740055190]
  [3806456426,6377955452530]
  [3898750946,16470406324190]
  [5807604256,238029541667190]
  [15367594696,1757331902363310]
  [13453157441/4,315972354656959/8]
  [131452092481/25,21377295973946871/125]
  [184987770326/49,905114578146514/343]
  [445636683526/121,7944777808937190/1331]
  [3495807342466/961,324706645846656990/29791]

9. [1,0,0,-8816660321256855552030,326672443189551662944133052477636] N = 259732624552341531016169415899628926782651758

E = ellinit([1,0,0,-8816660321256855552030,326672443189551662944133052477636]);
generators:
  [-354085912401/4,162673490640917373/8]
  [-19534835580,22168676128053234]
  [5946031182,16566786988715964]
  [35346220896,7693928612058738]
  [-259894043597392932/2927521,101389693706023131197106318/5008988431]
  [-142735063884504/1369,537310324349053690890/50653]
  [-15301024152596/729,441215326665521862454/19683]
  [1755318206551/36,769839296154065683/216]
  [12176007047022/121,28497992193460801284/1331]
  [25314509009244/2209,1564736301331824194574/103823]
  [184773474849468/11449,16823064700205433260502/1225043]
  [543122295204216/9409,2897481293826584246418/912673]
  [41624286216845388/83521,8351506954792160390863506/24137569]
  [49042517139416892/104329,10659264928085147140517478/33698267]
  [49148611383920412/966289,2975824171545945329928318/949862087]

10. [1,-1,1,-6239095573145534820954,205431266849224003584410123828889] N = 496380225956301438330246347547456506319857378

E = ellinit([1,-1,1,-6239095573145534820954,205431266849224003584410123828889]);
generators:
  [38674870921,4688564721723903]
  [-997440945776177271/12033961,516601450836620120569512851/41745810709]
  [-614393969463568223/8567329,422634295672450162149872505/25076571983]
  [18411249572893/441,38987442215355630415/9261]
  [61390848874161/961,244872358427131309113/29791]
  [86314188126457/2601,784005231442266339757/132651]
  [154000520772673/5041,2356252690421921780705/357911]
  [1596680232656349/113569,420118785998565618627375/38272753]
  [208456021515079881/714025,92032178405300160407160019/603351125]
  [1197551782167645601/32364721,924908956294374162934494015/184122897769]
  [2719737746446583531/47761921,1947161048212815055043776513/330082636031]
  [10457421048813432467/15437041,33597699109966083664108838293/60652134089]
  [90113165006641592183/1108956601,566126309322239205614737814395/36929363769901]
  [1045191134639972347449/2866424521,33061296751196525363594853138749/153465502429819]
  [247685033826898713775899/5973512381929,61977315122861009232525942167166939/14599724221887884533]

Rank 16

# a-invariants conductor N log N naive h log abs(disc)
1 [1,-1,1,-443614187006965842441597,98513667991088894052468455283418821] 47491363856755122892643998195872310287759933770 107.476877066 174.961330000 166.11879952
2 [1,1,0,-4454492639308456267,3569723501987764625790581569] 604197732859038643233843041535779539406145212010 110.020230701 140.434938000 129.36286114
3 [1,1,1,-22016158993906009365350,1254906571321851229546742745268067] 763556912303166252769914563836721580231826210710 110.254316848 165.951794000 152.95090612
4 [1,0,0,-102312120065992112567005,16071658075598248603356927650399921] 705922361221706563649487066335266686895391778754362 117.083589725 171.047876000 162.64055051
5 [1,0,0,-1589006107492800975288330,641517932987170311368949625578240036] 1063801035862864070462449237429446119268444699942042 117.493688120 178.789056000 170.15544511
6 [1,-1,1,-338986276814919856923030,75782185132628789207213539905426597] 1178378661246036861241551671749580193828136637409550 117.595979220 174.154343000 161.36937017
7 [1,0,0,-12360300105305708500278825,21701195772534598300959596092987505625] 3936873920727132111539203004980015203338928511316670 118.802226730 185.464007000 177.10778551
8 [1,0,1,-64566734182638871151801508,199671702894279434172659459851436069902] 5537009599133370342309778078856476695131445811056918 119.143294314 189.902828000 173.96237191
9 [1,0,0,-280799307307662620897855,57116716238079287829525521095175577] 10636077814024438470991357552600929462515328878892690 119.796091532 173.589385000 160.91598346
10 [0,1,0,-16584392554627352220002225,27342582423768588751497610348496232339] 22919935610637725561847503518892723019710718262805064 120.563846825 185.926163000 176.12917460
generators for these ten

1. [1,-1,1,-443614187006965842441597,98513667991088894052468455283418821] N = 47491363856755122892643998195872310287759933770

E = ellinit([1,-1,1,-443614187006965842441597,98513667991088894052468455283418821]);
generators:
  [529821353311,110471017586829144]
  [617561381011,245114989132044744]
  [-410266707433800689/720801,249792506699507065232080456/611960049]
  [-6861127506103041/12769,615125443693292122727368/1442897]
  [-7992568932729/49,139973190789346268768/343]
  [136227274631319/529,447431996486286655248/12167]
  [541945286833549/2209,6922795366023896631812/103823]
  [2164851811514239/3249,58196819593453278939592/185193]
  [11858489024285131/64516,2495152451345948153240711/16387064]
  [3143726541054599/2209,159141970013211920645912/103823]
  [13912088661220439/11449,1425307518991391758547992/1225043]
  [46373964525388361/201601,8414494998034104787294906/90518849]
  [67928602103303551/1681,17701917264632322609810504/68921]
  [104706686953542711/10201,33811557527305455773699944/1030301]
  [493728647459937751/1879641,27291877818327809227634584/2576987811]
  [1010632146748927039/552049,955079944848716360898242808/410172407]

2. [1,1,0,-4454492639308456267,3569723501987764625790581569] N = 604197732859038643233843041535779539406145212010

E = ellinit([1,1,0,-4454492639308456267,3569723501987764625790581569]);
generators:
  [823624144,21438030234433]
  [4144477147/4,65310629230553/8]
  [1534518103,18643909762516]
  [1653845668,26948902340491]
  [2542528518,93165786408991]
  [2703659894,106250428592723]
  [-12214448494682/22201,253095593366372021159/3307949]
  [-2003361516193/1849,6710807008574567612/79507]
  [-682715486327/1681,5023151556930697511/68921]
  [-19986159203/169,140588623456788352/2197]
  [192021344973/16,82920655934783459/64]
  [130892837398/121,5473095224819021/1331]
  [1808228951283/1681,328798768461015836/68921]
  [24333689152005/17689,15812905774840564279/2352637]
  [332264445594732/351649,2980887735296217113137/208527857]
  [215227309939219692/34969,99849513537574305413097923/6539203]

3. [1,1,1,-22016158993906009365350,1254906571321851229546742745268067] N = 763556912303166252769914563836721580231826210710

E = ellinit([1,1,1,-22016158993906009365350,1254906571321851229546742745268067]);
generators:
  [-18234426963,40623841666434931]
  [49529056937,16910565694271831]
  [81738617937,1203434480602831]
  [326569561665,169979202622503583]
  [1041939476637,1053320113299550531]
  [1599120832737,2013776773286073631]
  [-593210113546863/39601,313380496373967725745769/7880599]
  [1884598087009/25,607616882559780763/125]
  [6240851402153/169,48744139743090228107/2197]
  [23744774594945/289,3983587906852005199/4913]
  [72900276856177/1521,1044069257405299211689/59319]
  [92920551478493/289,813463600528851349103/4913]
  [221809919225709/3025,981524096300078251513/166375]
  [505873411943525/7921,7371362755802785936867/704969]
  [44040581802836993/588289,2313221078054855556104353/451217663]
  [33574219356528515397/103652761,176922670624175773361885027591/1055288759741]

4. [1,0,0,-102312120065992112567005,16071658075598248603356927650399921] N = 705922361221706563649487066335266686895391778754362

E = ellinit([1,0,0,-102312120065992112567005,16071658075598248603356927650399921]);
generators:
  [-14240294761189379014/54449641,63452762575724741260127159029/401783900939]
  [-4463808580523792830/70778569,88868029328755466654692484987/595460100997]
  [-2760195527897698066/9778129,4582289283695274875511763613/30576209383]
  [-1567339535655014734/4414201,810367887233653802921008643/9274236301]
  [44294075836885076/225625,6387452511494542235577149/107171875]
  [156999980175735686/4330561,1003930431877176002701302163/9011897441]
  [733596066636468332/3523129,407421572472021874928591617/6612913133]
  [871177091352051308/994009,767395665202908620309552627/991026973]
  [6019129411804857095/8145316,13634503041850853709767452331/23246731864]
  [2300493873801771458/130321,3488678079238685086971179639/47045881]
  [8501769983019075404/20967241,19500029152160019168445794599/96008996539]
  [144683127979780995506/78198649,1716346476696296327386142223805/691510653107]
  [2927296953954507767666/7333695769,123755294453486668784939398056115/628035704569853]
  [4569578583379586379218/10853264041,246765136440565048216328474931941/1130682194527339]
  [10947074284098236082194/45783588841,711717882303534970369105971321445/9796360287897611]
  [278948573117853488416754/177575431609,144553314992719555800846752519496739/74829754153737773]

5. [1,0,0,-1589006107492800975288330,641517932987170311368949625578240036] N = 1063801035862864070462449237429446119268444699942042

E = ellinit([1,0,0,-1589006107492800975288330,641517932987170311368949625578240036]);
generators:
  [163963906088,620794825455530354]
  [1441994814303/4,2719215573992639217/8]
  [436117961232,177406025009306694]
  [463610954606,66959229776837306]
  [40928307305916,261716795509741232646]
  [-12468282578689524/42025,8981410259762088517588134/8615125]
  [-3912551608561314/9025,958157355679491709933656/857375]
  [-3745455475906266/2809,92933166719989173081426/148877]
  [-1317863585441448/961,14644816569823167104574/29791]
  [-106987706337480/2809,124735822814632743819258/148877]
  [-54634412216982/49,347615003888909124822/343]
  [716796968897316/361,15812476029082053785154/6859]
  [4780781853552777/64,330511713189093918072303/512]
  [149823960876853874/7225,57887347885838352020355698/614125]
  [2087273045752657869/633616,2815186472665791383332173855/504358336]
  [1272335826960982956/9025,1435110376142618246328897786/857375]

6. [1,-1,1,-338986276814919856923030,75782185132628789207213539905426597] N = 1178378661246036861241551671749580193828136637409550

E = ellinit([1,-1,1,-338986276814919856923030,75782185132628789207213539905426597]);
generators:
  [-629664857567,198951999135755995]
  [-51859569831,305323453990493115]
  [184818383109,139442674853085495]
  [295196894209,37924811329165795]
  [351721410169,8011601529683115]
  [356676842959,15794656193670795]
  [7102488610083,18866782620439625321]
  [-373358122352829/1369,19483117044209329034135/50653]
  [-68917717571511/121,385957623264751487145/1331]
  [-1226458899845/9,9331472428675170977/27]
  [6195626260529/25,10453474103731865023/125]
  [30560269581321/49,112176828712490782605/343]
  [2020633368569449/7921,54185963025611312186435/704969]
  [3966481413799461/10609,39477250002459408685445/1092727]
  [10498745943780769/40401,587851647470995243621115/8120601]
  [11225063493687055405/27888961,9930772182143705214175030783/147281603041]

7. [1,0,0,-12360300105305708500278825,21701195772534598300959596092987505625] N = 3936873920727132111539203004980015203338928511316670

E = ellinit([1,0,0,-12360300105305708500278825,21701195772534598300959596092987505625]);
generators:
  [-3947501204550,2996751666219588675]
  [-3929130311850,3099720726418365675]
  [-3005128261350,5630879147732748675]
  [-487909351350,5255069440232952675]
  [664205666190,3712740093411829275]
  [1978166448090,2234123449879225635]
  [2120067167370,2241775690718703075]
  [2303623385370,2335017726637491555]
  [13089375195930,45853434520505331075]
  [21573609491610,98973964345435562115]
  [251203300519194/49,3309054867606192673221/343]
  [3187312872337530/361,168126712633450825181505/6859]
  [5793287346169650/841,395850408002816587084575/24389]
  [7705214725714074/1225,595345193496746193877137/42875]
  [30573903841420650/361,5341454998642370224425825/6859]
  [35564232843422154/10609,4628053122174510167418309/1092727]

8. [1,0,1,-64566734182638871151801508,199671702894279434172659459851436069902] N = 5537009599133370342309778078856476695131445811056918

E = ellinit([1,0,1,-64566734182638871151801508,199671702894279434172659459851436069902]);
generators:
  [-9593244664678454010565/1034136964,19290645015505067867428887108261/33255776488312]
  [-20545987241678227/9409,16585823999235414804890433/912673]
  [1522193203975136/289,11744043867362019540261/4913]
  [23149373158663451/5041,35821217772809543567433/357911]
  [59739723708850943/12769,44143774944076571180457/1442897]
  [75529588271866400/18769,5756278726019866859197869/2571353]
  [551322819451057871/128164,56685704601814041303699999/45882712]
  [315909142514600621/66049,8819099210713710386361009/16974593]
  [807695514038651588/175561,330780854079002700650694/73560059]
  [1808855425296985478/32761,2408353827975593053205585415/5929741]
  [6218634859400546366/1329409,16603316987217964569097494/1532808577]
  [22359387948540501859/4968441,5485250988924390332029741217/11074654989]
  [1786129530785288268433/318836736,21128895535840414574688485958745/5693148758016]
  [494149204516960118084/105493441,94573522766631009496578736983/1083523132511]
  [1414765493348173953749/321592489,5050581305169791751093796285101/5767118105237]
  [30334736218581411451562/5532830689,1332367629784436373432879893352450/411548545139887]

9. [1,0,0,-280799307307662620897855,57116716238079287829525521095175577] N = 10636077814024438470991357552600929462515328878892690

E = ellinit([1,0,0,-280799307307662620897855,57116716238079287829525521095175577]);
generators:
  [409100093494,103488277315194253]
  [3122520149446/9,1030601415644828831/27]
  [14415139995481/64,37263681638075804471/512]
  [41162736162934/121,41269133307615869303/1331]
  [70960690136326/25,588009792161691585161/125]
  [300741070138534/361,4345380570538720011727/6859]
  [2670297645332146/2809,119958515179287340794881/148877]
  [3225394294274806/11449,23533302371835667961879/1225043]
  [3438567887479558/10609,13560449390586410997931/1092727]
  [3631658807506614/6241,148532983996282022219187/493039]
  [24013559642122909/55696,1672876653301798717564223/13144256]
  [19056168284672854/87025,2009794372256072062777627/25672375]
  [46479567864396646/91809,5882399648449077029652131/27818127]
  [179951901895335766/537289,9964590102946823424449761/393832837]
  [4909712268596054704/14984641,983552729854998733073945083/58005545311]
  [14318622115694714854/49294441,2695898879662444797098218033/346096270261]

10. [0,1,0,-16584392554627352220002225,27342582423768588751497610348496232339] N = 22919935610637725561847503518892723019710718262805064

E = ellinit([0,1,0,-16584392554627352220002225,27342582423768588751497610348496232339]);
generators:
  [2602021604179,1344122287276263462]
  [3082184121145,2346645576634488558]
  [-27007135359149629535/6086089,55277405498354661848532125754/15014381563]
  [-21942900152671955447/13564489,353035531207133982219469323438/49958012987]
  [-1433536715152178303/310249,398691988670983212585912870/172808693]
  [-6499896229025109/2809,1087192654371630018599634/148877]
  [20699895853207/169,11053571294663637613830/2197]
  [1879435408851787/361,62153274748533263005986/6859]
  [4639167007327255/1369,160634291349447843020874/50653]
  [10808028615753697/5041,458486324135467562338794/357911]
  [18089269463331310/289,2427921884895990782549679/4913]
  [47723613534810619/9409,7835826982473389519120358/912673]
  [123659324059670071/261121,590655511617917194517079726/133432831]
  [227907155083772251/22801,100980109904366175261052746/3442951]
  [737356613424506401/128881,506270299727807628894503766/46268279]
  [830699614689956917105/283821409,9412677359677772700424839402534/4781539277423]

Rank 17

# a-invariants conductor N log N naive h log abs(disc)
1 [1,0,0,-70235902354848639839804282,226452768150227159747700539851126216164] 5889912474663998001136215891007358569750407332969754 119.205080880 190.155309000 175.75520679
2 [1,-1,1,-132794033692023801578507,18526530155471147435549103480856731] 15793487264530233614193913775434839349092956757834570 120.191437399 171.342862000 159.34459777
3 [1,1,1,-23129732219369924505900,1368691973307455032056814052275917] 22570134155121002981411398901679409329533845803628290 120.548467277 166.121473000 154.82329463
4 [1,0,0,-326474202656465182454534015,2279957005037738921705883908851187283225] 483679739276337212595297447632616877253913558892768590 123.613262735 194.773096000 182.52433943
5 [1,0,0,-93622119584158859891555875,351905833681081109135676674283691949057] 3002321700076004278365863207850028188009820768200925410 125.438980911 191.035999000 179.58043628
6 [0,1,0,-66978759742380446130566714780,6669859197140144768062061464389783983568528] 14279724174416047683375461159343803557896622851617612760 126.998435663 210.736122000 195.91346422
7 [1,0,0,-3206633906759414959813846620,45611933046939552493536892822360505840400] 56692981363113303160127517269313887892499576957400121210 128.377245439 201.618661000 193.60898076
generators for these ten

1. [1,0,0,-70235902354848639839804282,226452768150227159747700539851126216164] N = 5889912474663998001136215891007358569750407332969754

E = ellinit([1,0,0,-70235902354848639839804282,226452768150227159747700539851126216164]);
generators:
  [4959088214572,321535653632732566]
  [5125516304428,1053335404550793790]
  [-14056422456382597636364/3801585649,4892053335462681609901966845412678/234394366360393]
  [-4365195085517648383280/475981489,103455110230398135197724376424554/10384488145513]
  [-43809704193314/9,574664033131909859342/27]
  [1263578810903809/256,698923394707892667991/4096]
  [7416091662759592/1369,112622507102468696561626/50653]
  [66724549474868044/10201,7055357511988462335931910/1030301]
  [429423117007130068/39601,214362923919768441372354010/7880599]
  [515454190717964500/27889,337203045689344897765945754/4657463]
  [670690465443847636/134689,21093052525241156813150890/49430863]
  [756240242067173308/375769,2224401400116994305804192574/230346397]
  [1385953073913511282/10201,1628600800102696366031891492/1030301]
  [38644833297269782612/5707321,106768596874160733165287902078/13634789869]
  [2567948282893041566548/42211009,128955949640349613046042526659126/274244925473]
  [2727719073358308532108/677196529,52564308900606345506175485026234/17622685274167]
  [3428159608824289661716/1150769929,257932735357593678870296456412050/39037568301467]

2. [1,-1,1,-132794033692023801578507,18526530155471147435549103480856731] N = 15793487264530233614193913775434839349092956757834570

E = ellinit([1,-1,1,-132794033692023801578507,18526530155471147435549103480856731]);
generators:
  [-418747854709,26578558076570154]
  [-213273144709,192735961416394554]
  [44967206891,112454765300442954]
  [114902549291,69174859044148554]
  [148547283491,45587483567375754]
  [161140143491,36225172760015754]
  [168689674991,30427140117547254]
  [172571865491,27374850714326754]
  [172634787701,27324905903951814]
  [189251234219,13165132263516426]
  [195143737241,6624859223559504]
  [229916996075,12196477297917642]
  [257319648731,37336519544640474]
  [310674460241,85186027010892504]
  [361207533491,132993767955215754]
  [496740480491,274104878344871754]
  [535551076491,317824527745639754]

3. [1,1,1,-23129732219369924505900,1368691973307455032056814052275917] N = 22570134155121002981411398901679409329533845803628290

E = ellinit([1,1,1,-23129732219369924505900,1368691973307455032056814052275917]);
generators:
  [-158125452458961745853/1459927681,2846149179673879513304635251749/55782376763329]
  [-730991148548192883/4157521,1488049264900079084235519/8477185319]
  [-350678066433165767/2550409,179834442103651135966594013/4073003173]
  [1502102342175205/38416,172371667120888829688653/7529536]
  [466551928757521/5041,1631377365863488275379/357911]
  [519061106536873/729,11575728756419676374123/19683]
  [799185687856573/76729,714116145919817129603573/21253933]
  [2454685299920877/1852321,92216659987632481979075161/2521008881]
  [5114684794383853/18769,318080020091071074253393/2571353]
  [21893389548605977/151321,1908163993906686545958289/58863869]
  [236322403457639677/2193361,36662119398724266545887681/3248367641]
  [539175335157406093/45792289,10268024924862340412641742503/309876419663]
  [683070433898854357/2996361,462257519196169993760717971/5186700891]
  [694135720788947653/8048569,89538654207102946205877493/22833790253]
  [92583549999161238037/1524199681,815590399904734562652478892521/59506279745921]
  [426124083908580341853/5716418449,3312365870043756849014827656863/432201249673543]
  [3065898280575859606813/14230819849,135653932609682289311631451969517/1697637192246757]

4. [1,0,0,-326474202656465182454534015,2279957005037738921705883908851187283225] N = 483679739276337212595297447632616877253913558892768590

E = ellinit([1,0,0,-326474202656465182454534015,2279957005037738921705883908851187283225]);
generators:
  [66412614907246,522991155125861814517]
  [-17576173382241770/961,1375908617685775500350035/29791]
  [50928473076879190/2809,7171730742175042253578985/148877]
  [57266722307946130/6241,3717385498558258738608715/493039]
  [241776516849142170/24649,17888555360931019005453705/3869893]
  [2895367717250721430/441,4926675365003699951587946185/9261]
  [12912537146453665174/1026169,13322707556961637652929988969/1039509197]
  [31729343419315519630/866761,160143343378868262600634235335/806954491]
  [76157065157334672910/12552849,1016686609958214657625724401075/44474744007]
  [116966675030629540120/11135569,115253480707701428183451353755/37159393753]
  [817076771712142826470/98863249,11888417776311164228294193851995/982997284807]
  [1935721197159441094030/39702601,79998149790812553394263493217785/250166088901]
  [2480142374969024868870/77141089,107162910231140366728211727758595/677530184687]
  [13010101508281101351670/58014984769,656428367622290097609527960685434195/13973663276415647]
  [41569394254781700537850/5701911121,7298015066367883811085943412990935/430557010657831]
  [57019118946055258950070/5857912369,2213486388677638924356347658371605/448347038986153]
  [16943464702472170022422988320/1624993409796849,201457227935719477358610324568140445913555/65505445715956607986743]

5. [1,0,0,-93622119584158859891555875,351905833681081109135676674283691949057] N = 3002321700076004278365863207850028188009820768200925410

E = ellinit([1,0,0,-93622119584158859891555875,351905833681081109135676674283691949057]);
generators:
  [-9495578876146,19614374914678936073]
  [-8186597641906,23868048932588223593]
  [3100310000174,9562852537177239593]
  [5517069109904,1820701436550645473]
  [-2828732520346322014/253009,132495289902459771250266871/127263527]
  [-1857335319292354/1369,1105613140224706544133989/50653]
  [22945800398686/9,307593119832013733971/27]
  [76245223825936/9,348684442488489075221/27]
  [478571116230713/64,4282130918215190413351/512]
  [1355404385470958/121,35434195055048599781131/1331]
  [4777388361271094/841,44868704015710081752517/24389]
  [56927317126688126/2809,12256901887560186461925781/148877]
  [169072392462127946/29929,9407342527992330335011081/5177717]
  [227758544591417774/22801,70003931290820860414886783/3442951]
  [881490091185153626/139129,187599951799878566415254381/51895117]
  [4264862073522240446/822649,1809127234230063655256759339/746142643]
  [1990573231155684559406/295255489,26437324646919494317447997133751/5073375067487]

6. [0,1,0,-66978759742380446130566714780,6669859197140144768062061464389783983568528] N = 14279724174416047683375461159343803557896622851617612760

E = ellinit([0,1,0,-66978759742380446130566714780,6669859197140144768062061464389783983568528]);
generators:
  [-14569287922574,2764525184366835639750]
  [39346602001036,2023706311982435557620]
  [147244629714798,2129870473021313022]
  [1330637350001926,47681928087475621046250]
  [1641262747019511,65710583746019907624930]
  [4219965092895706,273630416670948295753410]
  [-305014351446959/16,180336669260122307757825/64]
  [16517032813392811/361,13195551726298722738075300/6859]
  [1657513458164427934/10609,150784587943701406542461250/1092727]
  [2916519623816531194/1369,4945621713364436167779465750/50653]
  [5387634986272256179/49729,9178452509759259563444107500/11089567]
  [14180445051480253749/145924,57896139890522541492892541625/55742968]
  [20206085486483476426/39601,80880542742204740364723443550/7880599]
  [29021893751821236658/187489,8510278541935431015168629670/81182737]
  [49478867558103157504/388129,108971702659840334088732371700/241804367]
  [71673958141746398284/635209,375074431525747691860117495500/506261573]
  [101238749517950738851599904/701059567849,55768670684830148935797517081064572980/586992268742992757]

7. [1,0,0,-3206633906759414959813846620,45611933046939552493536892822360505840400] N = 56692981363113303160127517269313887892499576957400121210

E = ellinit([1,0,0,-3206633906759414959813846620,45611933046939552493536892822360505840400]);
generators:
  [14271428553000,52491902931780298980]
  [73033141267320,448295018058310830180]
  [143723416883940,1597984563502688988180]
  [197888378717832,2675878774491256318356]
  [384583512933240,7462842248082039572580]
  [1496784252083640,57866968895486746974180]
  [-22453985038816920/361,456405504363982985942220/6859]
  [-7774679177914260/841,6655373904034851218735520/24389]
  [119049896706360/49,66718102047013322527740/343]
  [930623828436760/9,24444017690573245310860/27]
  [3970451237270930/361,741098417137112068664720/6859]
  [17263594967866560/49729,2339314672664117426449596060/11089567]
  [26437282274606160/169,4034441200765538631254460/2197]
  [105288801438003000/841,30911814453373313442623220/24389]
  [246174457530763320/16129,30733886424542653388170140/2048383]
  [12450887532219538260/27889,43590472884919412754126219240/4657463]
  [7139828593536715462200/7134241,602344913051634501311537672322780/19055557711]

Rank 18

# a-invariants conductor N log N naive h log abs(disc)
1 [0,1,0,-326317355466512162296636500,2162588636175573089988210707820353700000] 69920387819660816126042026646958403496457502354638120 121.679197021 194.763341000 184.91706389
2 [0,1,0,-212216694995838546067756420,1191442933837710854554825439162733665600] 1981462165998296003807157433092943494958225792032062040 125.023430062 193.475113000 180.05121332
3 [0,1,0,-172376349302545957827814820,873457224134517779658354151991968209600] 11338339931713010411611348392408157126038267924244707240 126.767784919 192.854191000 180.17916288
4 [1,0,0,-422376703432890975508300,108858132136037648467576878145820816] 37809854879640709204144190088779892096566130113745440778 127.972164801 174.873853000 164.57094356
5 [1,-1,1,-561620607031948961565292230,5126847166030523799627010250146968653397] 41904432960026891104259674340003528709521017513404445850 128.074986642 196.393765000 182.47211077
6 [0,1,0,-313460193402819161478200220,2363504779262692458360269583695700303600] 67498275027917366588549765362807464209080847849544468360 128.551697064 194.845074000 185.69302607
7 [1,0,1,-54632349575818408774323298,140436589724977626468398645607702559256] 77765282808480869790658473342858825938006328040667569770 128.693290117 189.401608000 180.25177285
8 [0,1,0,-3639488807432126902961878305,106588277820152401194205212458046982020975] 242457735920658204722493516189693636305141783314836781920 129.830422432 202.462730000 194.01744027
9 [0,1,0,-1593668997972313062254977740,24493743092693917797491769565463326796400] 538131551594076637495194550676106356303665186367216472840 130.627698072 199.521618000 184.47750605
10 [1,0,1,-5761583237105298284549768,5234450779878412323260565395636639258] 606348201392680915989798281853484563417941690869110287010 130.747049432 182.653367000 171.78780250
generators for these ten

1. [0,1,0,-326317355466512162296636500,2162588636175573089988210707820353700000] N = 69920387819660816126042026646958403496457502354638120

E = ellinit([0,1,0,-326317355466512162296636500,2162588636175573089988210707820353700000]);
generators:
  [-12449942428650,65539809056701272150]
  [33421391609880,169079712693124456080]
  [265266321704840,4310613681978930192360]
  [41747486030347800,8529929690631818858017200]
  [-25384872461008975991475/2006860804,5872254898510241448278768283789675/89903350297592]
  [-1707664217080516767825/828461089,1267736478968080443439409597726850/23845595524687]
  [-150917693160043409640/11621281,2570580763088509924614479863440/39616946929]
  [408911916859100/49,1556456625126348877800/343]
  [13238843074278780/361,1363479978316852767107880/6859]
  [27096545514658710/2209,243748926061613753193270/103823]
  [237955592008571610/37249,132305296003158118553971830/7189057]
  [256050045710553288/52441,314466738595663017498787224/12008989]
  [38597866574521809990/2920681,62780121303071566896044443890/4991443829]
  [100835234241683867175/885481,1000484315718887700735327171450/833237621]
  [359086212212746841085/25260676,2527821071054457690951069801885/126960157576]
  [382849791711193291800/7219969,7100517940874936236084062639600/19400056703]
  [1357371718079790354510/93180409,20117735406504191654065694982870/899470488077]
  [1002158373652278405775770/147814874089,919620946241976653060460186219654690/56829941196375563]

2. [0,1,0,-212216694995838546067756420,1191442933837710854554825439162733665600] N = 1981462165998296003807157433092943494958225792032062040

E = ellinit([0,1,0,-212216694995838546067756420,1191442933837710854554825439162733665600]);
generators:
  [13165160258177360,1510563405478808924017200]
  [-36304940567158658607800395/2339988208804,97981363184181491190611551282526589705/3579484642983896408]
  [-278598882936376282930390/39883684681,384724520348477570228384617145825250/7965130783957829]
  [-41142090119275/4,382503484101339649545/8]
  [32123100022763005/676,5513659714701843298530195/17576]
  [175101962029393970/22201,9527690775963263010941610/3307949]
  [3658596893888296550/9409,6993124352937594244440149670/912673]
  [11838785270940153860/1190281,10440651800873287280699982000/1298596571]
  [71175575980424753135/7890481,73954071696393616265549893350/22164361129]
  [95841741276619442645/9947716,201273642379863921949313591415/31375096264]
  [125721572199910613210/16638241,298322394270307642854671067750/67867385039]
  [280773973956180133010/21743569,2492354507670554577925928968110/101390262247]
  [3255261606633082063040/736742449,368752142919293442065331373516200/19997400293207]
  [7325661934442800589015/693742921,206706927595368116295443192745330/18272494796219]
  [212690915935316167087415/24390005929,7594053555700119555067217090702850/3809060395949717]
  [983448458652811542513140/551860294129,11731789823009407645462110618854275800/409962112280492617]
  [2852201812711710234347840/329938806409,323749172826712402541058577734095400/189517840217748827]
  [13074696596775087275776345/3123306874944,107093194274175038524493399232821224835/5519782760406031872]

3. [0,1,0,-172376349302545957827814820,873457224134517779658354151991968209600] N = 11338339931713010411611348392408157126038267924244707240

E = ellinit([0,1,0,-172376349302545957827814820,873457224134517779658354151991968209600]);
generators:
  [8985215258335,7073317937201238450]
  [862709029285510,25336493662115431545750]
  [-259050565264982942/17161,13449003475144564004511834/2248091]
  [-115787254097640215/30976,208708762100710371709502475/5451776]
  [-101826874049507585/16129,84707156827169875967834250/2048383]
  [-26277085256723510/1849,1692077074025939564213250/79507]
  [122690600837590/9,877806540992762116750/27]
  [286710121143490/49,2769004436786593656750/343]
  [33346168465146835/3721,1579091328333386815720500/226981]
  [87610291621368595/22201,52789918327365046234155840/3307949]
  [100544088653745190/12769,3010756599480993844425750/1442897]
  [207830835291651550/10609,77380736222450965570193070/1092727]
  [245875510205750590/2209,121107165875964590609537250/103823]
  [362291090397319435/58081,89549193950693773022727000/13997521]
  [6082226991263443570/769129,1484343333549000514297440810/674526133]
  [9227201297095422190/1495729,12248852766073563539782332450/1829276567]
  [18018434717759791540/877969,63615266134756423388753797800/822656953]
  [51280718647330055290/7038409,38758562092114711445930695650/18672899077]

4. [1,0,0,-422376703432890975508300,108858132136037648467576878145820816] N = 37809854879640709204144190088779892096566130113745440778

E = ellinit([1,0,0,-422376703432890975508300,108858132136037648467576878145820816]);
generators:
  [-7572029117671006068190/10057883521,12268403481152236226207750323456/1008695080437569]
  [-221126251337857294660/3266008201,69121926355814926091534297626816/186649102678949]
  [-9327544694834862760/17901361,32794512968971979449845574316/75740658391]
  [570543854299958/529,11593146010885200533398/12167]
  [1163186610771416/4225,31838466333933944873716/274625]
  [2011678624595090/961,86329989012351021555794/29791]
  [3176747461011872/9409,62828606232063646856684/912673]
  [34985370736348604/26569,5867847897236411862053696/4330747]
  [230228079858495862/31329,110050581328223215027968752/5545233]
  [294158238906334264/2778889,1184064697224744439541977628/4632407963]
  [328747928102434148/758641,56065654249798521651086984/660776311]
  [463475972317638104/1203409,75982670142357851429956564/1320139673]
  [576101781444587288/1352569,124121029710597406828786588/1573037747]
  [1457463344835251270/9114361,5863317500835157823837408174/27516255859]
  [3096659213950342436/9803161,2559908324427181335549169096/30693697091]
  [4852155842868827966/14753281,4209645085106509293741030128/56667352321]
  [10140642432080971549376/1996570489,1013203274732372595625432011159332/89212759159987]
  [10928355219979372103060/13784873281,844503119562421838310850005540296/1618468187048929]

5. [1,-1,1,-561620607031948961565292230,5126847166030523799627010250146968653397] N = 41904432960026891104259674340003528709521017513404445850

E = ellinit([1,-1,1,-561620607031948961565292230,5126847166030523799627010250146968653397]);
generators:
  [79689319929929,682956591945077799835]
  [-817794142439803017399/119749249,121831882874699488166259954876325/1310416031807]
  [-663473650542052944111/24314761,1391243003182275276290564643225/119896086491]
  [-49163084652797523951/22005481,8239116393659107909957279192585/103227711371]
  [-20173017065927604759/1216609,133386965929408136656839366325/1341919727]
  [3640579739199881/289,35101640763881560158155/4913]
  [6589573216879561/25,532825153144521792688119/125]
  [38049657921121761/2809,324465879058993235787295/148877]
  [669949860181444321/94249,1118325819604495346394170905/28934443]
  [1606581836999022561/120409,123105283656181432478944305/41781923]
  [1925109345399350161/120409,639775308676967766433392705/41781923]
  [4837876066744367041/356409,449667622214318493612594175/212776173]
  [106198523616461670049/7284601,120669006395840803225411790625/19661138099]
  [389459871972667476569/28826161,352595544369653551306141288115/154767658409]
  [643979048716422188761/37246609,5498213691243719519761903438845/227316054727]
  [5283606680705726076689/231922441,227696689870173913330673873211815/3531946853989]
  [3543571950753333248246169/251721954961,408263155309424824684782398580251965/126293687521077959]
  [5641616771302610151252509/480749476321,4113009637097924351443209516828777235/333332937651404881]

6. [0,1,0,-313460193402819161478200220,2363504779262692458360269583695700303600] N = 67498275027917366588549765362807464209080847849544468360

E = ellinit([0,1,0,-313460193402819161478200220,2363504779262692458360269583695700303600]);
generators:
  [-10101063418665,67075775059043328750]
  [-1407244049910,52932343189382329530]
  [16597486801560,41630182080890129100]
  [381927775437048,7456138440014086570044]
  [28059719469861810,4700292670858334658386850]
  [-545290440446226120/28561,179882874245407065220380420/4826809]
  [-114753353719462035/20164,180252789950313597878021925/2863288]
  [93886659193365/4,712721406544288963575/8]
  [3322949465723970/289,82126348769714245109010/4913]
  [11744078648900750/1849,1993669665713909970950670/79507]
  [40167262056669240/1369,6875541384998132885512500/50653]
  [3377849491043754996/368449,3608357323067888681437414020/223648543]
  [7455362736870758505/473344,11892940120557965905579870155/325660672]
  [16715287343140344765/8836,68336357267098449326080420995/830584]
  [20170831698214572090/6086089,553911320062059987719525026050/15014381563]
  [31512621997748319960/552049,169353818687383863567159127860/410172407]
  [31647146426951023860/1062961,152728399776201253335775880700/1095912791]
  [1800636764425418959374/32959081,72867513939009018362630948532510/189218084021]

7. [1,0,1,-54632349575818408774323298,140436589724977626468398645607702559256] N = 77765282808480869790658473342858825938006328040667569770

E = ellinit([1,0,1,-54632349575818408774323298,140436589724977626468398645607702559256]);
generators:
  [1501695493762,7860145181465141444]
  [41710760459965,265385624947385458907]
  [-818621688668476215059/194463025,46641148560716159814907412462879/2711786883625]
  [-23768298463574969945/2815684,1495754300915339391040002779/4724717752]
  [-2079932365654540505/259081,1035127299053562650745322183/131872229]
  [-8605081683673055/1024,80997834673806063492031/32768]
  [-954878666738252/289,82922912580428468642347/4913]
  [342268503569805/529,124888039551077677881809/12167]
  [374572582826245/121,1317587397258671421037/1331]
  [3247126620265225/64,183159335707548266519599/512]
  [4272728980293232/3721,2020228969616800148805203/226981]
  [193553102514605170/63001,19947122993121635801928427/15813251]
  [2759418455033309140/499849,940395149394341143970977936/353393243]
  [147709051523892301420/47210641,118683238190616980347472521472/324384314311]
  [195967707480825054925/24690961,1764315631366391183643284235023/122689385209]
  [603161494197378523375/42237001,13085440862243566234877828286023/274498269499]
  [10260491433564043349005/1758292624,332560202291477785242636269330711/73728726309568]
  [121806858131597889970570/7238776561,38881952274230162927429306664743732/615882348586441]

8. [0,1,0,-3639488807432126902961878305,106588277820152401194205212458046982020975] N = 242457735920658204722493516189693636305141783314836781920

E = ellinit([0,1,0,-3639488807432126902961878305,106588277820152401194205212458046982020975]);
generators:
  [-69503713313865,154240325217032106780]
  [703050313998225,18575558504665918484940]
  [1333637727052983,48654362629565179094244]
  [-48299004782136471585/683929,60430337867711080611749965740/565609283]
  [-481754331733855515/11449,527236449968207386899324000/1225043]
  [-1958723952840294/49,148799539767014814825225/343]
  [-40957643339115/4,3022909247185238440575/8]
  [347971700478921/25,30266339537062651393644/125]
  [1109185640229885/49,64900736384286928476000/343]
  [1341749514144855/49,56839985869377282528060/343]
  [6136540591528551/529,3124106629936577950932540/12167]
  [33481890852239775/361,5164151103110281969765260/6859]
  [59618280168963903/1681,10250620840211956663442004/68921]
  [115141402187527010/529,37749197562610804752989325/12167]
  [212154600135329175/6889,88049999900480795295971580/571787]
  [766788915085810815/19321,421710670805069002758628500/2685619]
  [81876341093623896585/727609,657401381187238526769872264700/620650477]
  [1081952304847195431495/10896601,30608968384151148126615764022180/35969679901]

9. [0,1,0,-1593668997972313062254977740,24493743092693917797491769565463326796400] N = 538131551594076637495194550676106356303665186367216472840

E = ellinit([0,1,0,-1593668997972313062254977740,24493743092693917797491769565463326796400]);
generators:
  [-1839191026467660056520/39904489,1560671144423757338042532438900/252076657013]
  [-26466454679797402305/1485961,393652115869933995641364416850/1811386459]
  [13622236920041205/484,468370450857184859611575/10648]
  [1129593147381824349/8836,1147905172543736928244475475/830584]
  [1515138683721805695/687241,82542878001492705046012974750/569722789]
  [1766662373615666520/143641,4473839917346259352621736700/54439939]
  [2305245671764264740/116281,1042456125040257860559903780/39651821]
  [3024888060518337720/128881,199495863092958905220155100/46268279]
  [18887022742256420920/6561,82073643478765249773400869700/531441]
  [25757928774553618020/1125721,3403257450396033696136416900/1194389981]
  [137700278816597240583/5013121,426406020557992598507969514006/11224377919]
  [231844732980431331495/12952801,1923720787814827787843135844150/46617130799]
  [269030646199181287155/11992369,235282922429442629333003250300/41529573847]
  [2713163609798738719329/112360000,11361698711183773045500519787983/1191016000000]
  [674441322555321825020895/18382207561,309406520199791080317750493849227450/2492278083327941]
  [177846059492985386846655480/8446852884409,405678962975838839914378614705043254900/24549485540043443923]
  [3483318773295557450508679320/150098541663841,5181227980121063815771250465252061196500/1838927930336839760111]
  [5395609714113413268270553005690/253357267191137041,1861263092038043507260368925651320837540690930/127526384999956035609915911]

10. [1,0,1,-5761583237105298284549768,5234450779878412323260565395636639258] N = 606348201392680915989798281853484563417941690869110287010

E = ellinit([1,0,1,-5761583237105298284549768,5234450779878412323260565395636639258]);
generators:
  [-934507977124365853341/449694436,27363072320634310216395699207065/9536220209816]
  [-11516354185312731351/4165681,1554075513412871870113345225/8502154921]
  [-1123230467629962354/896809,2750133015749115274189797845/849278123]
  [-233578682842227861/111556,106165071310520680605101485/37259704]
  [-3318366545134056/1681,205790393230473301610870/68921]
  [1424400593275039/81,53281581591327112631735/729]
  [7154380815941643/75076,44531272337477674620829987/20570824]
  [6678006685781271/289,542884529697963962853455/4913]
  [20764929984081567/19321,1430344624859285336621965/2685619]
  [32837995108205376/18769,1835663778450728279668385/2571353]
  [2058062198083322253/2062096,2047880589797572594746148853/2961169856]
  [677963414271000489/2401,558205013299396189351226365/117649]
  [1071655258307971506/2211169,5256607164724274674077836765/3288008303]
  [1150134975610927851/744769,90346458854736820424877515/642735647]
  [12179888199326476386/6466849,16963607131171566772305205325/16445197007]
  [16591607288742645609/13830961,11401148657739600825910779635/51437343959]
  [252832675789507819524/118570321,2099518009553381604351948666485/1291112225369]
  [5984931140606776197081766119/3691846988246041,88196577791530955216394567952897051931405/224318731050459739649411]

Rank 19

# a-invariants conductor N log N naive h log abs(disc)
1 [0,1,0,-120872627034450933672056108,502292085827363419331748909982151898288] 377744506397500932049149835304360449085422198510087093787400 137.181568359 191.783942000 180.99534793
2 [0,1,0,-81321973849053480505925300,321025250640720460234849440829085820000] 613662111701893885107735999793593321355118146923962938690680 137.666794771 190.852312000 181.91429967
3 [1,-1,1,-3565267067359985442067065858437,2601059096758546793470762667503415178211022461] 4676874174796470773416020830070114756053796903425726941833510 139.697735555 222.667641000 210.33774379
4 [1,-1,1,-33454590597501242285962397,79327540013772822105686167211846707621] 6037474859082943869504599685293066664622112872988530675610130 139.953091434 188.056443000 178.46899894
5 [0,0,0,-5181620054147722481167946909772,4433187030625446955611998155933063140773852436] 9306631342500207208701602127436552293689197937596764864311160 140.385832773 223.781615000 213.25771840
6 [1,0,1,-1439424695166765280692487051,21509536391125830814763580953560213715498] 21872023389765198566966157825941357676136932645024764892834450 141.240313929 199.261776000 188.70607992
7 [0,0,0,-739431074852767844236975,331314067119134775943540728349251250] 40475339116507435307125435712606155771861961364063680791605800 141.855798458 177.099895000 168.85630050
8 [1,-1,0,-227728192801300267461890281467,41798504013479256501013799833070066614826441] 49306446977048725663163691235891071873219894123285954772888050 142.053160422 214.407454000 200.40852675
9 [0,1,0,-326324516618500377955666108,2633520654178398375254046304794517538288] 73095806898789805733693473909544282185502123675331260985331800 142.446876584 195.061426000 186.25079716
10 [1,0,0,-5375251164122514416322978504975,4409087032212578139824288567335419165871925625] 154836156741528280081180685241651598676590574508827062836787110 143.197473084 223.891677000 214.57327817
generators for these ten

1. [0,1,0,-120872627034450933672056108,502292085827363419331748909982151898288] N = 377744506397500932049149835304360449085422198510087093787400

E = ellinit([0,1,0,-120872627034450933672056108,502292085827363419331748909982151898288]);
generators:
  [4843116072103,5521861620285006150]
  [8741315676994258,817268693594497006196250]
  [-11407698690033954662/900601,860901498296491425455003850/854670349]
  [-211883264194251761/19321,60588614747677471488459594/2685619]
  [23207943709469908/6241,5033680315701532018547100/493039]
  [49560427024689982/5329,5256087038107639203704850/389017]
  [140554790083657693/24964,1871073275683010996413971/3944312]
  [473343312296232148/434281,5518684383817872362650100700/286191179]
  [1075321192733060722/12769,1106012703616323520277233050/1442897]
  [1363210227868129918/192721,93358125995544907788964050/84604519]
  [18454970299364249737/2534464,11574530287760793923853977925/4034866688]
  [18706546222818044116/2569609,11769798461112706835366154972/4119083227]
  [27067521920469491682/5442889,62438943659282049937814894850/12698260037]
  [31527790992358952008/2563201,121491261846973016935799316300/4103684801]
  [32174774174414738452/6265009,64628403178558830522115436100/15681317527]
  [194074867633505639911/172225,2703543447949752794907258965766/71473375]
  [253345157154430352212/35081929,509535684701799146585627984100/207790265467]
  [5321615386491914066932/679279969,106479912862910242002386573282700/17704073832047]
  [8995983635450338643502/1668967609,185155286813754542478557138393850/68182333730477]

2. [0,1,0,-81321973849053480505925300,321025250640720460234849440829085820000] N = 613662111701893885107735999793593321355118146923962938690680

E = ellinit([0,1,0,-81321973849053480505925300,321025250640720460234849440829085820000]);
generators:
  [-2953783184288383727051525/1255477671361,31434551286944437739255687830962099000/1406738876684244641]
  [-64944718668245545865/7284601,361153887211264916227485145590/19661138099]
  [-684089222834494100/267289,3128046434867764846023471000/138188413]
  [1052360178759916/25,33421211326032085248264/125]
  [60642805546304331/4225,12617301557664678853176804/274625]
  [71398598483474860/6889,13905860789422558506658680/571787]
  [3533850457931517100/537289,3311020192904233428864187800/393832837]
  [4986553838529257215/1681,11135219040503234885690963910/68921]
  [21136233367864131400/5387041,98732793918997256753104718400/12503322161]
  [240619181977233026812/877969,3730469792722051873934502196992/822656953]
  [298372103304871917850/1062961,5151292885191342348158756487750/1095912791]
  [6010253816637724059400/15155449,465830612846972002147753609308000/59000162957]
  [6235584874581412437685/627101764,349581709171997318709987250909095/15703882374088]
  [12937495002834107684355/587044441,1366686212642430760144361748714120/14223499760989]
  [13582952902738805399515/337126321,1546857319466904786133983790374060/6189976379881]
  [37618084646681737366987/15543356929,22796211450241137113498097242633052/1937836938409217]
  [39112145221764286539400/5624850001,4041037268409196829505607708575600/421858125224999]
  [44667067298695942984975/9063230401,5453234616252507242753744496740250/862828597405601]
  [854548567430628169733725/224746157476,870732001379797264164861192694888125/106546309859277224]

3. [1,-1,1,-3565267067359985442067065858437,2601059096758546793470762667503415178211022461] N = 4676874174796470773416020830070114756053796903425726941833510

E = ellinit([1,-1,1,-3565267067359985442067065858437,2601059096758546793470762667503415178211022461]);
generators:
  [-4035468161546801/4,575282993300551131437047/8]
  [1054975905594751,3734857902826730923904]
  [1421894538852991,20159093159524809503744]
  [1517098651692379,26152126715118708732704]
  [49438990988456671,10984798715620381964013824]
  [-6799943126875076561/18769,159448526204414460536231469952/2571353]
  [-78306058195767689/81,52286351306067454884040736/729]
  [7700715620100055/9,359122041911391998068064/27]
  [11152281158257711/81,33508588206793388230094336/729]
  [52782719537125519/49,1111085285404896192490112/343]
  [117908245458862439/169,46772906677458739631576048/2197]
  [185854137748312439/169,7033144099287252551810048/2197]
  [381079020296745569/49,228876946242866716277266412/343]
  [575819901757041431/361,213892886492118012344511616/6859]
  [36762809583368746759/6889,210511650962795611718236460608/571787]
  [153517881489488677999/120409,472664743874217314242686701152/41781923]
  [708573019102153441639/582169,3573631971364685200974967547648/444194947]
  [9404609085806083568839/635209,904955252883921174311806691994352/506261573]
  [86282090478964775537639/60637369,9548798453897790651965939030820352/472183192403]

4. [1,-1,1,-33454590597501242285962397,79327540013772822105686167211846707621] N = 6037474859082943869504599685293066664622112872988530675610130

E = ellinit([1,-1,1,-33454590597501242285962397,79327540013772822105686167211846707621]);
generators:
  [-6720106964599,816721184465601884]
  [-6701731034789,1592180912469399944]
  [-6619748039321,3271714993962025544]
  [-3037813977989,12366183727275838844]
  [1427748844831,5871388006122123704]
  [1424741247587791,53777476348637076830024]
  [-1422535699900442951/277729,1578455291142699662588039332/146363183]
  [-139272550567305881/29929,59989802807577235721270248/5177717]
  [-130942630152521/25,1316149689502141202248/125]
  [1117717657615/9,234099031445844630104/27]
  [10037694707599/9,177878492461339699288/27]
  [328832130063031/100,2207916544503392665691/1000]
  [1194733634117021/361,15117549760010730129146/6859]
  [4385836868684671/961,138789858926957956598504/29791]
  [30235752261504751/9025,1888187536168060112376664/857375]
  [127230038165095919/11449,40257319031544051363517552/1225043]
  [412642297432090819/51529,210857434810166305357750552/11697083]
  [635847627061955119/32041,487694112161945008311661984/5735339]
  [5547617103990127919/801025,9613609511048698786339273688/716917375]

5. [0,0,0,-5181620054147722481167946909772,4433187030625446955611998155933063140773852436] N = 9306631342500207208701602127436552293689197937596764864311160

E = ellinit([0,0,0,-5181620054147722481167946909772,4433187030625446955611998155933063140773852436]);
generators:
  [1959595391360562,42475665758478700718430]
  [2879654115901377,115720265489978036235645]
  [15218511234460722,1857479685691607079823710]
  [43631581767848262,9101672617307703739973370]
  [5551346826012274332,13079691635078464851618409950]
  [-1921190215594299916212/1697809,208087893220612352203967748594750/2212245127]
  [-2518232723520302598/961,125275549927516151880672450/29791]
  [-10464020692549647/4,74078788276761023546775/8]
  [122930285183741953/49,29152708541398867847900995/343]
  [2528631942281141562/1681,449268498628080933242649870/68921]
  [6343857219353800182/2401,11276928613532433866227364250/117649]
  [144583468239352718428/76729,783819384469503395919359181850/21253933]
  [460974854679554187558/822649,30814821658514855579172351531570/746142643]
  [593222947913795501542/281961,7985099553945279984449271894590/149721291]
  [699360092602348953978/54289,18223311106877237423883416258190/12649337]
  [944668889987086050889/883600,8924328045705428616315145270213/830584000]
  [8517048299590405126302/1907161,698612828604436847585598720511950/2633789341]
  [239593616464400858181138/490755409,488599999194205736657687274338155950/10871704575577]
  [366338144626058013790428/145757329,150212320625052757458505998756384750/1759728233017]

6. [1,0,1,-1439424695166765280692487051,21509536391125830814763580953560213715498] N = 21872023389765198566966157825941357676136932645024764892834450

E = ellinit([1,0,1,-1439424695166765280692487051,21509536391125830814763580953560213715498]);
generators:
  [45588724472727,225025523119289595586]
  [118496978981383,1230780758399847117962]
  [954171263227243/4,29122492819788012328903/8]
  [-3952159472615577841358/94497841,84971986746019126667970268629716/918613512361]
  [-1534188594198235251743/38800441,31144466463220449008669904997454/241687946989]
  [-185775182972597903/6241,96087284531635111692167024/493039]
  [-344866603626131/144,272909626327188387296093/1728]
  [191996034746731573/52441,1532669578489129794907156136/12008989]
  [2025891802531139761/116281,1644336183997327933622350846/39651821]
  [4109022648647001124/170569,2009752704135345938866074874/70444997]
  [201496021158825749542/9853321,773625520636151508369263569859/30929574619]
  [1399702833315362367142/33651601,35782079463621430927166226601216/195212937401]
  [10241594849714403031303/441714289,227325311601748554390231420478918/9283509211913]
  [19444597680609017089357/148328041,2608880058478493976300719916890854/1806487211339]
  [38360858720855408346613/524730649,6659887808348142938223356139986008/12020004976643]
  [349336477703168626891648/11731705969,90302640665105358393345648985494977/1270696268620297]
  [4141748250254117902599559/230752454689,4229502083933594151676442141603666438/110845864401590863]
  [10135074933808317056979697/491077191361,8379430910686466967973511135643989374/344131672312856609]
  [853513975151484456268262878/2091381637921,24831354944400129380222889810797554868584/3024474560877471281]

7. [0,0,0,-739431074852767844236975,331314067119134775943540728349251250] N = 40475339116507435307125435712606155771861961364063680791605800

E = ellinit([0,0,0,-739431074852767844236975,331314067119134775943540728349251250]);
generators:
  [-970718682390,366593095457675450]
  [-773876344285,663385002986262200]
  [-10820970435,582506791251917350]
  [311351425565,362316801738086650]
  [10634363399210,34570286971702839350]
  [-8749733599933367910/11042329,23772128359460856772080952450/36693659267]
  [-18608923652453635/18769,770580049130582074024550/2571353]
  [-4920357827077050/26569,2943312876653574688299400/4330747]
  [-1194648346644979/1849,58390111521746084492006/79507]
  [-9021394543939/25,92799559381149505066/125]
  [5926057921675/9,9731669860964870000/27]
  [41550648706489/25,240228569263809726362/125]
  [45598260503725/81,222858949520975008150/729]
  [52255360864475/361,3270190783736195299400/6859]
  [123003296777290/81,1200146417849323085050/729]
  [2331270815585515/2601,82692167641163187562000/132651]
  [3732485387760001/324,227421342031485478684951/5832]
  [10877283897890735/10201,895370166842159983221800/1030301]
  [386626212348648915/351649,191958701609619723138642800/208527857]

8. [1,-1,0,-227728192801300267461890281467,41798504013479256501013799833070066614826441] N = 49306446977048725663163691235891071873219894123285954772888050

E = ellinit([1,-1,0,-227728192801300267461890281467,41798504013479256501013799833070066614826441]);
generators:
  [-526443366875831,3972984955101426313453]
  [234641036561254,1132527731781495004723]
  [265168715192119,239381200785910053703]
  [292345650493544,456907596221409884253]
  [323628789483619,1412288034047941838203]
  [1956156945827869,84152591213294136780553]
  [-6064812136737971/16,549272282980540618678867/64]
  [6047943010529869/16,199600828522643957471737/64]
  [7282563441569656/49,1149722461237799368673629/343]
  [19487435991809531/49,1289516743030353139132629/343]
  [46094889226066774/121,4277858259160340070126293/1331]
  [417800664678835969/625,214403578880042780774454778/15625]
  [579727145711619016/289,429906053245521852208991339/4913]
  [933444925795499804/3481,24567475012284954352831757/205379]
  [1812038540972075279/5041,904439843003165446647378158/357911]
  [37000128700228240444/137641,4183925518158432450137587013/51064811]
  [160544258765677653421/595984,13277131027449967220891438569/460099648]
  [51369301338390531787/182329,3614456198902540758137477254/77854483]
  [292448676024816500425/1181569,991803828842878239783337867987/1284365503]

9. [0,1,0,-326324516618500377955666108,2633520654178398375254046304794517538288] N = 73095806898789805733693473909544282185502123675331260985331800

E = ellinit([0,1,0,-326324516618500377955666108,2633520654178398375254046304794517538288]);
generators:
  [-26247318113572095535167787/2502705016036,277215043572790722767133671184703513575/3959264319138855784]
  [-1045552694950433389381018/509263495129,20860779933128900094692535156165899850/363424180238422883]
  [-318774262229954738276923/21867902884,211876108667102705955845661723962625/3233781742680152]
  [-44403622489995925387/3290596,403958129893513789513283760375/5969141144]
  [-11890733520076035058/638401,24194798714375760747162055302/510082399]
  [-6940192395573333958/693889,40447516249664748988172821350/578009537]
  [-126782012501532262/22801,225140879883975072879011850/3442951]
  [-112445458920163103/29584,314453447556975834899045625/5088448]
  [25734526400636522/9409,38304572462437640287279050/912673]
  [76870916273113262/289,21265213106673705597793350/4913]
  [4272926494557039704/434281,5544168303731298634273374396/286191179]
  [7845580719386130083/358801,16582217521092807802368696300/214921799]
  [18747376440729739187/4068289,287507448882404439241054544700/8205738913]
  [54891774232938733322/135652609,79021621528896058670730111528150/1579945937023]
  [323048605002117084902/26569,5806324797686532268827184599750/4330747]
  [4614487423133168986838/53567761,307152092946456711916536151375650/392062442759]
  [13033751391825005496788/249545209,1410751667729880527645659645353564/3942065666573]
  [76228433931825744529898/3541321081,15746304093634198614708688358674350/210740476209229]
  [10821645493355852498942942/1094339855449,22126707133739096353547037085385519250/1144796583164187043]

10. [1,0,0,-5375251164122514416322978504975,4409087032212578139824288567335419165871925625] N = 154836156741528280081180685241651598676590574508827062836787110

E = ellinit([1,0,0,-5375251164122514416322978504975,4409087032212578139824288567335419165871925625]);
generators:
  [-1706719323080394,92798950009627210604157]
  [-1259019983488890,95817137182742311380765]
  [-1188330228746010,95491284059567089221885]
  [423109506651300,47016092012273200871775]
  [839782417042800,22074626577687978289275]
  [5211249728457150,343394616657183032546325]
  [18975972716795862,2595268726636250542977261]
  [20741235440681952,2969137123812699631965621]
  [-1461109858477479630/841,2249056612977299856323271945/24389]
  [-62823664088076906/25,5656576302059750921921193/125]
  [-22329971188642082/9,1342478972512882785463967/27]
  [-12821272900726346/9,2586294962233417281412559/27]
  [-8185903769358410/9,2495956631059363792259855/27]
  [40094441248617525/16,5228908072234354714105725/64]
  [124760059463833185/64,18731503858067586350191875/512]
  [29496138791617527330/17161,35393855407988374523688266595/2248091]
  [30738020005329523110/39601,209168959615772912239299046875/7880599]
  [35573663072241187110/134689,2710964332349602368427097380755/49430863]
  [45988269547060389150/27889,25163804407930630092281176875/4657463]

Rank 20

# a-invariants conductor N log N naive h log abs(disc)
1 [1,0,1,-7146369925765405477086551,7291916366253844925956185473652201998] 1307294923137952127239328526450558626015820657750718325629240650 145.330820917 183.299543000 171.74640983
2 [1,-1,1,-1350332908795455321173806119827,427961906908623874926025256424919486839334579] 7660790873547457087570293558445473380833070722707349647682688699730 154.006731363 219.747315000 211.59523607
3 [0,1,0,-1299166317271173426316453507521,1429812194735156370315093400648743050730464079] 19579163029922449473561941200968939191137816962622279730690806013280 154.945082028 221.470890000 213.84312171
4 [1,0,0,-3901554929206887549374445027474540,91436055987731019702405486764887972834518499760016] 24449292371443545979989073883736099822676721343768827244442705365075894 162.074972690 243.653653000 233.19872935
generators for these ten

1. [1,0,1,-7146369925765405477086551,7291916366253844925956185473652201998] N = 1307294923137952127239328526450558626015820657750718325629240650

E = ellinit([1,0,1,-7146369925765405477086551,7291916366253844925956185473652201998]);
generators:
  [2041413485312,1100246106266938581]
  [-65586127374588718911432/73249798609,71404618502477435978460686288138003/19824838244130023]
  [-16298101702046029029786/226335208009,300847531230034540963256759555721991/107678296204657723]
  [-14455530512746682852298/8739819169,3120606762147355128190442612063836/817059474652303]
  [-625180040188830786954/2011612201,277834837112146508136542324489911/90222818827051]
  [168077729877291891/11236,67874275203417993108397891/1191016]
  [3871102835777394813/1803649,3286266454754986324267613642/2422300607]
  [30028053341363809407/15665764,49460088525381712725645658099/62005093912]
  [36005790246380903837/20421361,38370683683884866294779450644/92284130359]
  [38232652143580369677/21613201,43301150100203113370281116614/100479771449]
  [49553431457339747628/11580409,292428337639577422494496582282/39408131827]
  [60216414583507701153/71351809,822406471285930267473750623468/602708730623]
  [95610520424204372349/47018449,348492574010568966488885134508/322405504793]
  [192070466073478011672/199346161,3210121541961934883026909787299/2814568447159]
  [273632795887019843767/191850201,66872811359761797366019170566/2657317134051]
  [7390766526912451926879/14922769,635371750435323153302869397680274/57646656647]
  [88566359032326448764498/39293943529,12643896994352385963995301895398248/7789120543923083]
  [11249564565565406478988557/6282898178041,7658718573766409199671360873687778596/15748530369030407411]
  [1067171200238375898959130777/755152653361681,2544290409544977539321565969365665789586/20751625875637781708921]
  [9911259344904226496121728637/5955480387154081,41263657900978846025732319539002278995594/459594897166681434798479]

2. [1,-1,1,-1350332908795455321173806119827,427961906908623874926025256424919486839334579] N = 7660790873547457087570293558445473380833070722707349647682688699730

E = ellinit([1,-1,1,-1350332908795455321173806119827,427961906908623874926025256424919486839334579]);
generators:
  [-4471275736353764742677864449427/4422519595108729,8106581356278397882872973876008055527544411898/294106517521949763893683]
  [-231791401385481475831435290397/1152129760783369,1028356552888894986323446199777722390750043018/39106783099071042951653]
  [-94896236706396086815978006693/73255779163681,1153993237739328821350695058310214231556574/626993210374999968079]
  [-587691134601475191068333/548543241,326263997048822050638863035083248266/12847431247461]
  [-129704094423652873453/755161,16792741957753142123507981067754/656234909]
  [11168375809703947/9,695328631684052873414926/27]
  [84665353907934061931/3025,778373785476145318943154348814/166375]
  [345148925930290846147/1028196,3686543168558319472253764519159/1042590744]
  [134882014132694858347/40401,1478127908280580992546059403506/8120601]
  [1537172426615557288163/1194649,37409222358620196077818000798042/1305751357]
  [2458364957938689506507/1630729,88799709896832694983721822191434/2082440933]
  [32687833325808845759857/347039641,112277000007782172599737901953299574/6465001472189]
  [45102086608984870088827/38427601,5108559471950456111837011957105934/238212698599]
  [793590569743045124547163/834458769,47687632603642584201290383847737598/24105010460103]
  [25890523395087841406963333/11869448809,114652272990995077106959572363716603338/1293140839394123]
  [28793931760972568499719003/28337345569,48878458663230201407132164351198547618/4770223741048753]
  [1553690315219763907852368499/1306986265225,33498941777827559648677129983185513655062/1494192442924502875]
  [6121000249573583144903723347/712574027881,474648640088359587764757971710798180590026/601512952469495221]
  [147055080589076422360660505792803/1283532000458688369,24103753391020197758860477743677608940295383668882/1454152824437978140935977097]
  [324905194849367076112570835563900427/279086627345701948081,97101327664960258646794416938342708370410891386019474/4662389383073558980730422298729]

3. [0,1,0,-1299166317271173426316453507521,1429812194735156370315093400648743050730464079] N = 19579163029922449473561941200968939191137816962622279730690806013280

E = ellinit([0,1,0,-1299166317271173426316453507521,1429812194735156370315093400648743050730464079]);
generators:
  [-2446532753168800813814145078751/4167287214411841,12001252264698088334201409959960976665760340260/269017263334078407777889]
  [-47551537137196291231641500310/37574190588841,7452922604432964799852414657602654939204363/230321484413475196139]
  [-815862552390890854124691/655820881,562248902105041189820374459998008640/16794916941529]
  [-714788041637476798946211/501715201,221639143606385834607242401106480160/11237918787199]
  [-1096987825497954953163/4301476,372621210930686380474781799145407/8921261224]
  [-520663970337777959169/1651225,90224041430496830528204718095196/2121824125]
  [-8731702280290061775/22801,148931820398149631906384009052/3442951]
  [1899858220845274890834/58081,82761213444337874051158727157165/13997521]
  [2493590069518644321801/2550409,134731596553703906098876543698780/4073003173]
  [173039274890898203809529/70744921,67545325347883394806325538112604940/595035530531]
  [1750010117038617817673655/362178961,2264766132469527436094219691321238188/6892627806791]
  [6580107774466817847615879/795860521,16739486357747793281278833093519334860/22452021157931]
  [91098621701866731555888639/151631581201,1737715528044806285564110676823908968260/59045186088088199]
  [3322751337372712892841500933/7639403018809,649785249067285308915651088686270513544536/21114905055628079123]
  [15171182340203901429679167474/5582819114401,1768148853272230815970280189245344950454915/13191079420687568399]
  [224186435282223976448074883055/12996003370009,105931381478235415882188349197919446598187556/46850553160872334973]
  [611692104036521331336915236991/757058881178209,627536978476278127097670691354603265863713180/20830250269130710706927]
  [195939187362084795800506928558079/149958947930280889,2572892074270106163371463361322489237618694581220/58070902727591283644341037]
  [1009960607023264912467121061161039/1157621579781354081,38599618852378852746280218237442842966000576051620/1245517750077793460968501521]
  [31723598199942489830333876196918801/39367915259828379904,7435667619270886694283371413736419585791444711983865/247009482497947377812749217792]

4. [1,0,0,-3901554929206887549374445027474540,91436055987731019702405486764887972834518499760016] N = 24449292371443545979989073883736099822676721343768827244442705365075894

E = ellinit([1,0,0,-3901554929206887549374445027474540,91436055987731019702405486764887972834518499760016]);
generators:
  [-33365428280399264602154235586536/480168568737001,54703681912249515889687891476882035007386355300/10521813324423149925749]
  [-683719733225592690520680120/19360217881,36657116883770577918389692273500857056644/2693800076180221]
  [-490168243732605980923058610/917539841689,8499435716252551009945177305827590591669488/878895816176584387]
  [-35560805329234134287195016/22994386321,34423858773737787993004789338721059043404/3486845747330119]
  [-525861547206008467458/11449,16147361228598962696806150694502/1225043]
  [-1295711595153767676/25,1553356101880393809904793208/125]
  [28821602934594346776/3721,1782641185587514136605563075876/226981]
  [130832926886063292360/2809,488274176885992553170233111252/148877]
  [2720748371669536406574/11881,137095569824998948702982906903514/1295029]
  [5359250494757170848300/564001,3147535577126948539323022684249596/423564751]
  [37431027378988126695834/2343961,20678565194662706264141865103400610/3588604291]
  [449047980813242341131630/3066001,276972742430931044429870228733349614/5368567751]
  [17724548783341246337808756/69169,74621292865727019300822081639323959032/18191447]
  [57071925452087388922560828/1932745369,119419682420954694587362711421633789388/84969284657347]
  [937488583235278920354463275/10301032036,23146704597825717940863144423516247816461/1045492945461784]
  [3366891092170119899802310296/156945122569,260917779731203281779254293908121794174172/62175850592302747]
  [5572380778004699243797836984/395765551801,1560691634451336903855488127696212912600124/248975712872457299]
  [25626884359636526752310338860/188219748649,3727961726306546823951176138852072054023632/81657820413128107]
  [63023100989018102232245020440/3578653743289,35942938142510175094561156905157992824909892/6769857381753329837]
  [132168979567579188013010956682520/3088773250953289,289115989124292695835366126251327670808169288868/171663926265772938224837]

Rank 21

# a-invariants conductor N log N naive h log abs(disc)
1 [1,0,1,-45141198526458352945133705095533926,2062218282541741516059786146320833327182658297331748] 1276790687761151076804421275353458888576233831160016970956831646271429350 166.030476350 250.998913000 243.17012323
generators for these ten

1. [1,0,1,-45141198526458352945133705095533926,2062218282541741516059786146320833327182658297331748] N = 1276790687761151076804421275353458888576233831160016970956831646271429350

E = ellinit([1,0,1,-45141198526458352945133705095533926,2062218282541741516059786146320833327182658297331748]);
generators:
  [-10616214366335638465753004756106957/58056219649707889,906805792640893168929398558413357022370332620370497/13988563858933872218471287]
  [-47401850193040061684735668461391/911586271245169,1798274627860929242341698392094860037131546148513/27523056643948238845303]
  [-6860629016046081788435826033/96596018401,2103690396379225937151053525694944721902909/30021945923012399]
  [-17789168336836090738908727947/256955720464,9076257229721264409604324913622836839562707/130252910348965312]
  [-41061721384451549602756974/335073025,465248365516035982901596766466019078061/6133511722625]
  [-33146368578388447326768/143641,752714905442465815286748543242929/54439939]
  [140238058970121037429897194/5686215649,13312309115450245093388225413264537105931/428780463444143]
  [363166183074488964798358067/166384201,6888652215342413815834703370178631465109/2146189808699]
  [742389017711185723529771052/1621431289,18161689432312489049308987176368122266421/65290173714163]
  [42421222474004843018893457417/179321759296,5162695932982202376358863527068439077086009/75936309478521344]
  [12137434957966143654748586706/51388809481,788047466012043995332170679363725955018976/11649380610057371]
  [17378357962853082980757131254/3200956929,2289196619657494124519483718976122900052936/181100540172033]
  [17727580210753660101691959168/422893991809,4292060718369669519353091636478471998829397/275009231555368127]
  [195237226174777415604941608653/5233607893264,248323356586200900581205256111606838100859807/11972966646283198912]
  [6589282642946879596055592917208/14905182082729,15061346667831792412872597021720754111703921537/57544779285979753067]
  [373652459774951885300610168509243/1058961132472489,5975121453110258851495017627063288131378027253447/34460377482240743258987]
  [469992367080322064122327860161913/1978612115817649,6060802988505069201556481201754593560117606444067/88011818840669525034857]
  [1624001918606182552653283429609818/2955639883445209,60794270709564229248687887453746005256674420357553/160685717908485893116573]
  [3213133030828216408780295039245092/16220278456346449,61747610322577858415261076708552232257542808235372/2065796124422008140648793]
  [45573406533310852044341923169065218/3262266128295001,9727856815112443848442936942876037178461907793956967/186328411012495479161251]
  [166260132949648858647422792394664167/723585178872886201,38047069563414181352062784243645578749739028090672441/615509122468177238407744301]