curve #2572

y² + y = x³ − 54x − 88

a-invariants: [0, 0, 1, -54, -88]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 189
discriminant (Δ): 6751269
Faltings height: 0.0093
naive height: 23.5806
primes of bad reduction: 3, 7
regulator: 5.589730656637088933338086435194787135113
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:10:03 UTC
last updated: 2026-09-26 20:10:03 UTC

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

(-143/36, 1621/216)

Commentary

3-isogenous to S-1002; original source https://elliptic-rank.icarm.cloud/curve/1002. Rational 3-torsion kernel with x=3; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:10:04 UTC · history