curve #591

y² + y = x³ − 1141015057x + 26061092520366

a-invariants: [0, 0, 1, -1141015057, 26061092520366]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 198333672870666343333189775723
discriminant (Δ): -198333672870666343333189775723
Faltings height: 4.3154
naive height: 75.3061
primes of bad reduction: 1907, 78173, 1330420666492967756093
regulator: 1752573197.794390884439944688302389678700859154233679027973166709
submitted by: Michael Rubinstein
submitted at: 2026-09-05 22:59:15 UTC
last updated: 2026-09-05 22:59:15 UTC

(-30096, 5756826)
(-28332, 5970441)
(-23223, 6327285)
(-22420, 6353982)
(-10314, 6060720)
(-5762, 5695991)
(-1867, 5308941)
(-873, 5201589)
(1709, 4910813)
(10639, 3889221)
(25205, 3648882)
(28849, 4141733)
(39589, 6552621)

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

last edited by Michael Rubinstein at 2026-09-05 22:59:15 UTC · history