curve #2547

y² + xy = x³ − x² − 96x + 1088

a-invariants: [1, -1, 0, -96, 1088]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 378
discriminant (Δ): -432081216
Faltings height: 0.3419
naive height: 27.4627
primes of bad reduction: 2, 3, 7
regulator: 3.908920327579127250705252956348862168905
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:24 UTC
last updated: 2026-09-26 20:08:24 UTC

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

(64/9, 632/27)

Commentary

3-isogenous to S-2130; original source https://elliptic-rank.icarm.cloud/curve/2130. Rational 3-torsion kernel with x=7; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:24 UTC · history