curve #6430

y² + xy + y = x³ + x² − 587921902151661618891364680632291660x + 175895370695335885609027598042645068866126048402915437

a-invariants

[1, 1, 1, -587921902151661618891364680632291660, 175895370695335885609027598042645068866126048402915437]

c-invariants

[28220251303279757706785504670349999681, -151973600280770205377851729483443522301224190847743935329]

rank (lower bound)

≥ 25

torsion subgroup

trivial

conductor (N)

146776692986766006861288732824769493292470479075440766240388349081371466065968420544578466198830

discriminant (Δ)

-359871839687670227899849471991614740204502333243049388913749043629148870426324625590549484202318940185600000

Faltings height

19.4389

naive height

258.7266

primes of bad reduction

2, 3, 5, 7, 59, 773, 940103815471963342488682550452206755599, 16301609398355001963238338787193930153163174818311

regulator

2675414126388899766894834979.364673907309701508966264165273297004569551397299772580350360

submitted by

apkorte

submitted at

2026-11-02 21:31:35 UTC

later contributions

(287707313755164997, -174817207007114403256693519)
(439899435119466977, 48933253405539365440329401)
(1536016480551148317, 1702008502283661834976607641)
(958709069764878237, 702439281057654056479058761)
(-723006281141793583, 472253832194913577628513141)
(443606605921117117, -48839173103021108374705159)
(390140281508676567, 76853026838708349623182291)
(-813196498944995283, 340930892029477966704538441)
(537912438902205117, 123651601805262110810402041)
(-281512982050352512697/324, 1023300493746317422357312272167/5832)
(479433217146550367, 65013719966885425068625291)
(429556039039017437, -51097516504153600155706039)
(1075912147238345357, 888146898347206142664412361)
(442485021128007117, -48828295836803383031991959)
(2519269875704644917, 3831952988935943599511533441)
(131780989630164237, -317343630029277338838038999)
(1325174799009016677, 1312981329429113275104363721)
(-8654476482154043203/16, 37078504235292383941621750849/64)
(373643072884273917, 91577370607649704562170441)
(5493562759368640724181/24025, -860663282625675057683080923928261/3723875)
(173274190689636221, 281471230610314747728723529)
(7763573133420979093/9, -15048180820317270018621083533/27)
(1450746525605798773/9, -7886322539647653471865455533/27)
(7097673273108990573/169, 854511182591726410404380558077/2197)
(23217436639445336342013/27889, 2390378538947351027332919393610383/4657463)

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