curve #1220

y² = x³ + x² − 74484832620x + 7829021449464784

a-invariants: [0, 1, 0, -74484832620, 7829021449464784]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 89661775071019961275098888904
discriminant (Δ): -31560944824999026368834808894208
Faltings height: 4.9812
naive height: 86.7164
primes of bad reduction: 2, 11, 4099, 12281, 20240116628651899457
regulator: 757658644.9785420987285407744468207624729040007558611126116366446
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:26:40 UTC
last updated: 2026-09-24 14:26:40 UTC

(150956, -5005396)
(169392, 8508236)
(123434, 22709258)
(92876, 41380196)
(150758, 5126770)
(618333/4, 23807597/8)
(162214, 3868338)
(169658, 8689690)
(146787, -7640204)
(50119, -64975482)
(158658, 2286590)
(155754, 2493878)
(146986, 7512054)

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

last edited by Michael Rubinstein at 2026-09-24 14:26:40 UTC · history