curve #3811

y² = x³ − x² − 247281951217508995484619188065x + 44260379138221389471396964083409624579005061

a-invariants: [0, -1, 0, -247281951217508995484619188065, 44260379138221389471396964083409624579005061]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 117565105605311973049308388517883092817195650855213055536130832021416
discriminant (Δ): 121456881596841161183256598487930900986687372652588571989172535109660538995892569823005952
Faltings height: 15.8401
naive height: 214.6546
primes of bad reduction: 2, 3, 7, 11, 13, 17, 23, 29, 41, 43, 34970996804539564598336494142311856760845670063527210041
regulator: 14461192097682955678.626152763866671299821823589019471058204999502539370238128187
submitted by: 7fff-zip
submitted at: 2026-10-03 04:54:58 UTC
last updated: 2026-10-03 04:54:58 UTC

(657269009370804, -12871344318168128529793)
(4893292451350833, -340588833953317653731258)
(17892344009880844159/49729, 15149299091933018058076148118/11089567)
(1112417155313004, -33849146159115627347293)
(29261675880372669/4, -4994220854223571696022297/8)
(-2265754796649611/4, -12867331183750725508827/8)
(41313189841077217/81, -5196833209004698397640790/729)
(1647102762017221/36, -1241620524655325691386419/216)
(-46199656935302396/529, 98237033440465804857859887/12167)
(-11091850715640689/25, -1020395260577199214227366/125)
(4093903447574104377/961, 8229116842829617553845218010/29791)
(-133291333902407, -8651750641330650498918)
(215300896954044/25, -811358976045111486349903/125)
(-5985664263544851/25, 1184147245401458781973382/125)
(228722895665905087/2209, 461592365713166064269206314/103823)
(2120622969232380997/12996, -4256661509317482837925237885/1481544)
(-378489371371571, -9145150392227975757918)
(-14868289104447, -6923420527869534212678)
(704825221569821, -14836168809229895749854)
(2111696003211335, 94544580021480435855294)
(352557236553205, 949213019014298132094)

X1008, T=167/69.

last edited by 7fff-zip at 2026-10-03 04:54:58 UTC · history