curve #2566

y² + xy + y = x³ − 437774x − 9825928

a-invariants: [1, 0, 1, -437774, -9825928]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/6ℤ
conductor (N): 2310
discriminant (Δ): 5328033205714065000
Faltings height: 2.2829
naive height: 50.5820
primes of bad reduction: 2, 3, 5, 7, 11
regulator: 3.327524201803031021174960401652510736501
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:09:42 UTC
last updated: 2026-09-26 20:09:42 UTC

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

(-270, -9284)

Commentary

2-isogenous to curve#1047 via the rational 2-torsion point x=325. 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 20:09:42 UTC · history