curve #3789

y² = x³ + x² − 23995902245855251503111871523709719991951585300x + 993120988611669191620437378512228133849122190517138670377070481992064

a-invariants

[0, 1, 0, -23995902245855251503111871523709719991951585300, 993120988611669191620437378512228133849122190517138670377070481992064]

rank (lower bound)

≥ 28

torsion subgroup

trivial

conductor (N)

58745041186801230569222202377913181247143453936669180095451219371509838030098468424152895542699453552212836146663499548568

discriminant (Δ)

458205921799782248086587904271418818706807022220651981341149304157644665543943852308301004584893968275439621619300281943087335231950729496832

Faltings height

25.6957

naive height

331.9962

primes of bad reduction

2, 3, 7, 13, 17, 29, 41, 59, 89, 149, 787, 25874272002262633, 83525030750311237239059144114557025691191553674609613613774392505660806345799245833511451

regulator

319023638622673570751869071710194.2803533565999297073909155290222869110231826217424567708832209

submitted by

Ritik Jain

submitted at

2026-10-02 03:57:48 UTC

later contributions

primes of bad reduction recorded · Daniel Błażewicz · 2026-10-02 04:07:10 UTC

Witness: 28 independent points log in to add more points →

(44247109517273679504278, 4242518293432105447957299240757230)
(-658036281933725317560075/4, 176819374185157210506092427184798311/8)
(42626758349389913568869682/961, -119220131208635952374000263312979367654/29791)
(-35311553739498058555947/4, 277620306454566137018106624981854697/8)
(107730213943584331884748821/3844, -4411545788212983838668985692306920459721/238328)
(-73429776109738123456779/4, -302251608071128547258493171782244711/8)
(163803795866966347900733/4, 71168510695320093028491690067106883/8)
(-130297885879155792349758, 43676067513734173361969623704239754)
(1276366060464340892128902129/256, 45577961515808022049726122155650178273847/4096)
(42448085216678360934864, -7143216396514427241912958017666648)
(-156813547711774365995754, -29998029437111766539095207438163346)
(-159470956928621728369707852/5041, 14846049075339953080829554863084966859320/357911)
(155106383554298251850994, 31666247482671934001271908618759322)
(-1107638525735565590948983072/6889, 15071663977355531847523631807652113114112/571787)
(8870568803357272022283825/64, 9299223980589054567743163587360363721/512)
(4087153709377068536517341945336905926/829117692481, 8258833759275698172475050985116619447635650844138955134/754960576947806879)
(702009189720655875665176802518954004840582036306211069/5455498090651314190987692453796, 76519490692219144898334391536883308342683096329239771693399068991530204307442413/12742411095356993333245212660207704257788768344)
(5547337549408514860681021177096554/133560280681, 402853459462568150090243343434984449011325435509978/48810806617397579)
(-146646090957713656433461137626894545038420449/853672632505382484369, 169209013207616255774029478761603469635559293609564408808958589714/24942330995277920660706217799097)
(-16533019429943116114499747678536571732390417860862526/123246061096707344334530228449, 1834698405409304706141920185438383687622733302701264741620461646256015948553578/43267277836624404494041309165029386300540207)
(-5392611026084526407057500872030906425823294624417558659/86564273740746127963852374829476, 38170991431447415391935226157455586367345637758517913326616090384864608797770139821/805393341094668647355864767041749610492289869224)
(444725824991913488205563132758099469216627209024343243040981492241571838/259001649984235885808168583412135419776972283943969, 128604083827038213899100437707001301975145778687455188445485034771572107059871742096644539482141881506473808122/4168250358350962697019725672942389352636033853129091861441861791892282580047)
(8868446749766523295046037379166623121017168773727431535796883162989470860534/603740131668409868821861909930082484816023795580914089, 11902935017541235955633212420029627900665351458638715158561606600586891324971384833726086315872799346409261347929002/469110407019335592458494616348117706672092514847319502350541913775572672911198187)
(-974404491628792870191825033232579781724152174081329650671438459714835762/54237256550112248945423457539840107201757410192321, 15043519427850851296286644233321325700136499932426150283287442334974376712952601959948059204489550360991790870/399435417488665851910595855383116344338288728856489149766787853538997118881)
(-172554533383974187613214313757297206048909610498330208/1350139471984573344136884736489, 69672021699409767751208792440796366267859381525439539753919024275967419804217680/1568801339195223748155554622655881231317866763)
(-60419936344825587593340284018900040522764215325580/522485929783156936331554369, 562918739157663681922401367034891764380120725967013132223525164325474103576/11942957848200994350068643411604034335903)
(-6142132360993522883837109529903304779002062348887815044339583413018707934303664/48085609538340265145267552100834802109639222480970765025, 14815292391632691657291716214722906927012168835663103058094174704631204607547391481585467039579322380449281362453747384/333443832048876742461690461299494633425317037783546478409586392999588350416452387375)
(7139267667894347798958196928894790737994254063654/1080159343698889656526328761, 1025712183334939378791713997175437180464131632147847232089955371870297064682/35500276868499815495541119329390088862509)

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