curve #1490

y² + xy + y = x³ − x² − 9215871878203448910011960927x + 3132784212945409487749240767092972677236551

a-invariants: [1, -1, 1, -9215871878203448910011960927, 3132784212945409487749240767092972677236551]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/12ℤ
conductor (N): 100083125799386730
discriminant (Δ): -4189699142318856327882262802577046051340516971886176240499434511726099186199822336000000
Faltings height: 15.4931
naive height: 209.2241
primes of bad reduction: 2, 3, 5, 7, 11, 13, 29, 41, 43, 47, 277, 1669
regulator: 4764.3152023851567631746884545571725838058885
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:34:19 UTC
last updated: 2026-09-25 00:34:19 UTC

(8103305093885315790099, 729446233182561054772360338776374)
(-547353845340903001245/3352561, 3280259079595753651406085084442/6138539191)
(-8461133439977752610040329781/51970300975849, 211209288746037114333678415677737308596178/374656134457837402507)

Torsion Z/12. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:34:19 UTC · history