curve #1858

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y² = x³ − 227492576011788367516713824043096972x + 42359589753279095411988718006798552004180579737822836

a-invariants

[0, 0, 0, -227492576011788367516713824043096972, 42359589753279095411988718006798552004180579737822836]

rank (lower bound)

≥ 23

torsion subgroup

trivial

conductor (N)

144280172552308051577025424189007617058192522723256645177996309133360527504709447320

discriminant (Δ)

-21655423884791740319414378267756843853868909117446870266735540074504397920135212365689588965978683052000000

Faltings height

19.2033

naive height

255.8792

primes of bad reduction

2, 3, 5, 7, 11, 23, 41, 61, 71, 97, 1665929, 1358193584213, 508778605459556247853159, 1037533498786831081574189047

regulator

83555844365830410400258.2463525556714313214491169267338702770555811270683792428548985

submitted by

Ritik Jain

submitted at

2026-09-25 17:14:25 UTC

later contributions

primes of bad reduction recorded · Daniel Błażewicz · 2026-09-25 17:17:18 UTC

Witness: 23 independent points log in to add more points →

(10476625643851691168878/38809, -190368985740920647849234967127130/7645373)
(14222675030534401717297308/56355049, 13515754292211702522125709207501415470/423057352843)
(7618192207909366726/25, -4563784756375393459989723526/125)
(51389128424766285450/289, -426325858694929709596248159222/4913)
(11484138849933724348/9, 36521963833777366093423151570/27)
(1088083482404026386, 1040691421872180435023996490)
(-8121025100496181983/16, 10529379154704260586361126095/64)
(-6354510047070937810410/12769, -259419900618898018613730221860062/1442897)
(441791990154518982, -167583484597349659222469250)
(287842543434613182, 26949234615332611373531550)
(20715275903980765339258/23409, -2617320978177864595143103066335110/3581577)
(790779719759879652, -597464128546450632650445570)
(1888633677664916625630/5041, 35281451574449669686377577236786/357911)
(-11156247454251067362/49, -98431125122717013048987187890/343)
(2430944829787042042, 3722228979141624880161191210)
(19982035090809963769162/201601, -13050106457063024422553495955965270/90518849)
(132149144015140844114670635584600637457852/952173325211577201794161, -107794059572070187204225959283386786764244839345256281402348250/929124722414466322758421295630584841)
(-176919490618551018, 277614464347101254693370750)
(-39426517206184943262/169, 631937933456105179836356030190/2197)
(-231192783145881783, 287396857114655867148458385)
(10656597369932555998/729, 3888934617996490640356660122010/19683)
(13471825976155997086558/56169, 531464999980042331599770227914550/13312053)
(166949262345373302, 95042575834786294634819970)

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