curve #3460

y² = x³ − x² − 3750893540x + 87321690999876

a-invariants: [0, -1, 0, -3750893540, 87321690999876]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 28049021634623498384808552
discriminant (Δ): 83473888384639531193190250752
Faltings height: 4.3538
naive height: 77.7494
primes of bad reduction: 2, 3, 31, 2069, 924643, 19706532097199
regulator: 33384715.063259110868918166641917959191312862522146092849772486
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:40:06 UTC
last updated: 2026-09-27 05:40:06 UTC

(28256, 1973646)
(29000, 1712874)
(30178, 1268768)
(15484, 5740642)
(30705, 1047924)
(39509, 893358)
(39602, -941160)
(-31822, 13208232)
(32033, 194352)
(51320, 5476026)
(40268, 1254642)
(-11982, 11425608)

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

last edited by Michael Rubinstein at 2026-09-27 05:40:06 UTC · history