curve #1096

y² + xy + y = x³ − 25187421680278445693x + 48654137710470248344196743556

a-invariants: [1, 0, 1, -25187421680278445693, 48654137710470248344196743556]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/6ℤ
conductor (N): 3390853245957774330
discriminant (Δ): 18381682744312152999983796503884391957963326485351562500
Faltings height: 9.7614
naive height: 145.6322
primes of bad reduction: 2, 3, 5, 19, 31, 37, 79, 229, 349, 467, 1759
regulator: 25071.294405864529889697074604638717956320470890195
submitted by: dujella
submitted at: 2026-09-23 18:50:41 UTC
last updated: 2026-09-23 18:50:41 UTC

(2822283975, 6954343660492)
(-979245690, -269034436509293)
(2908598655, 789015540112)
(619219245, 182468948735122)
(1650637535, 107591777378232)
(3630285285, 71132120660482)

found by Dujella (2005)

last edited by dujella at 2026-09-23 18:50:41 UTC · history