curve #1486

y² + xy = x³ − 662057554395863819655x + 6555937806015269208934798118025

a-invariants: [1, 0, 0, -662057554395863819655, 6555937806015269208934798118025]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/10ℤ
conductor (N): 3108927454710
discriminant (Δ): 4866540456661344136153660564753100610592932697010583772800000
Faltings height: 10.6574
naive height: 155.4393
primes of bad reduction: 2, 3, 5, 7, 11, 29, 31, 491, 3049
regulator: 713.06236569147115504856286534844391131390977
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:30:19 UTC
last updated: 2026-09-25 00:30:19 UTC

(-29362500090, 824960191854645)
(-525674136834/25, 417962847876438249/125)
(14025721285935829843065/935413940224, 291877363357743717333204478515/904702429738565632)

Torsion Z/10. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:30:19 UTC · history