curve #788

y² + xy = x³ − x² − 1865252986x + 30958962950848

a-invariants: [1, -1, 0, -1865252986, 30958962950848]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 33915523108918463487650678
discriminant (Δ): 1288789878138901612530725764
Faltings height: 4.0942
naive height: 75.6536
primes of bad reduction: 2, 19, 495991859401, 1799452448881
regulator: 51238976.563357054863936146241228961228161062960437157156205374
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:40:14 UTC
last updated: 2026-09-18 12:40:14 UTC

(26536, 370988)
(21824, 792712)
(26327, 302208)
(109811/4, -5428063/8)
(-49312, -1714832)
(18632, 1625748)
(-9963, -6963050)
(23458, -346186)
(44187, 5878100)
(25966, -193084)
(34801, 2844978)
(30638, -1618482)

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

last edited by Michael Rubinstein at 2026-09-18 12:40:14 UTC · history