curve #2532

y² + xy = x³ − x² + 8x − 6

a-invariants: [1, -1, 0, 8, -6]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 274
discriminant (Δ): -37538
Faltings height: -0.4338
naive height: 17.7808
primes of bad reduction: 2, 137
regulator: 1.125896651540223271683986156147881123999
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:07:28 UTC
last updated: 2026-09-26 20:07:28 UTC

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

(1, 1)

Commentary

2-isogenous to curve#1797 via the rational 2-torsion point x=0. 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 20:07:28 UTC · history