curve #798

y² = x³ − 398361252247x + 96907515571559290

a-invariants: [0, 0, 0, -398361252247, 96907515571559290]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 346160210902139668624880103858904
discriminant (Δ): -11077126748868469395996163323484928
Faltings height: 5.4306
naive height: 91.7482
primes of bad reduction: 2, 74587, 5101781, 113710929139527567229
regulator: 14904433939.3223110258369987673769892222004062133256045562000517121
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:41:55 UTC
last updated: 2026-09-18 12:41:55 UTC

(352659, 16776764)
(359007, 12807148)
(-267149, 429258988)
(316717, 50094998)
(447133, 90451226)
(209821, -150200858)
(513245, 166282330)
(307477, -59077202)
(582574, 250107644)
(1978369, -2655565334)
(540761, 199047602)
(368083, 12135524)
(345745, 22501670)
(105695, -236608300)

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

last edited by Michael Rubinstein at 2026-09-18 12:41:55 UTC · history