curve #2565

y² + xy + y = x³ − 141054x + 118709176

a-invariants: [1, 0, 1, -141054, 118709176]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/6ℤ
conductor (N): 2310
discriminant (Δ): -5909282337130963560
Faltings height: 2.2829
naive height: 50.7077
primes of bad reduction: 2, 3, 5, 7, 11
regulator: 3.327524201803031021174960401652510736501
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:09:38 UTC
last updated: 2026-09-26 20:09:38 UTC

Witness: 1 independent point log in to add more points →

(1484, 55632)

Commentary

2-isogenous to curve#1047 via the rational 2-torsion point x=293. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.

last edited by Natanael Wildner Fraga at 2026-09-26 20:09:38 UTC · history