curve #2574

y² = x³ + x² − 716x + 7140

a-invariants: [0, 1, 0, -716, 7140]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/6ℤ
conductor (N): 660
discriminant (Δ): 4181760
Faltings height: 0.3033
naive height: 31.3360
primes of bad reduction: 2, 3, 5, 11
regulator: 1.867932790554724252108925609439062677321
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:10:14 UTC
last updated: 2026-09-26 20:10:14 UTC

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

(40, -210)

Commentary

2-isogenous to curve#1806 via the rational 2-torsion point x=-8. 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 20:10:14 UTC · history