curve #1224

y² + xy = x³ − x² − 69256750159x + 7363244147255929

a-invariants: [1, -1, 0, -69256750159, 7363244147255929]
rank (lower bound): ≥ 14
torsion subgroup: trivial
conductor (N): 46992227332945491709640493795458
discriminant (Δ): -2161642457315492618643462714591068
Faltings height: 5.1522
naive height: 86.5937
primes of bad reduction: 2, 23, 2092443247, 488218813521711977609
regulator: 7530841207.03286299357283767695541728596961926624188263435138548577
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:27:17 UTC
last updated: 2026-09-24 14:27:17 UTC

(137266, 20978759)
(97823, 38995107)
(-814, 86137615)
(153688, 18615555)
(275565, 95798518)
(163210, 20100987)
(117601, 29009945)
(-124060, 118577143)
(7868, 82572207)
(63732, 56609413)
(-24999, 95296129)
(178410, 26101187)
(180023, -27102005)
(55616, -60719541)

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

last edited by Michael Rubinstein at 2026-09-24 14:27:17 UTC · history