curve #4241

y² + xy = x³ − x² − 49440790849x + 4339950847631569

a-invariants: [1, -1, 0, -49440790849, 4339950847631569]
c-invariants: [2373157960761, -3749706853142852205]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 201089032872016134932036202654274
discriminant (Δ): -402178065744032269864072405308548
Faltings height: 5.0341
naive height: 85.5364
primes of bad reduction: 2, 100544516436008067466018101327137
regulator: 17596839082.1038195867031376369147828697989950785804627526361386756
submitted by: Michael Rubinstein
submitted at: 2026-10-15 18:10:57 UTC
last updated: 2026-10-15 18:10:57 UTC

(188208, -41343625)
(-64780, 85301823)
(161701, -24025296)
(99200, 20238537)
(68068, 35882367)
(69721, -35131881)
(191850, -43868287)
(120497, 11430288)
(170663, 29459920)
(98810, 20430393)
(-253208, 25115703)
(188696, -41680265)
(556791/4, -100151801/8)
(113188, -13983105)

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-10-15 18:10:57 UTC · history