curve #287

y² = x³ + x² − 282081209084769804505293x − 57664608560601805089739376623616957

a-invariants

[0, 1, 0, -282081209084769804505293, -57664608560601805089739376623616957]

c-invariants

[13539898036068950616254080, 49822221796278720209318407699107526400]

rank (lower bound)

≥ 2

torsion subgroup

ℤ/2ℤ

conductor (N)

25972828168216346276318967310400

discriminant (Δ)

42161737690934948136748886345055134461378441477513481465984000

Faltings height

11.8197

naive height

173.6030

primes of bad reduction

2, 5, 13, 41, 479561, 345183869

regulator

19339.2323509567152048194170535522510184992

submitted by

sorinmg

submitted at

2026-08-22 21:51:36 UTC

later contributions

(2453106695693/4, 3679660043539/8)
(583189047701019077511452041970350699885305991631242944902907963863296387379539138037059146653471755575228677218378468758776303971075133448769420243362502619404929329218195834925570030172340199406587772751904967458663662317743694213159954796304112397588992092479535438075586682253633778914969/472912415593733019152482252425004930640464105135406344387880185101438911732022817248308322641577583253441854946272546527404089521065946984999552714989037822294433690371414749814675121470722832963642911613541208088131720198570891998736742592686876389289219341879875674625510705216, 12468276994417387398625451493853668794418834798639587011095645131101997452159325827787597083402492594830819435865999378084261583879736925485761871366579882019623569194544950659190700363191927127873743722306167213394444761191294698546402795202224453120738388561716086424799598878953691861777637102445993673933178892229799474885366123763152220563084899694655401195301731157727642383040232819900861434305335052681217396748926517354796604381/10284213259633819323899566877379128538734642370395418819070614704903094772186258290949071109326576074870198419120947314172386168599340976515852822455869777697375271664945349005774644013795853150033214732833559099074005695664382809449985021962164941373177396241337115336988841249971330835317461557946348144913023111395615480508185861412217822578800562787367790884384899301134968025401398728087427691636799346849277108736)

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