curve #2557

y² + xy + y = x³ + 112x − 4194

a-invariants: [1, 0, 1, 112, -4194]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 130
discriminant (Δ): -7722894400
Faltings height: 0.5770
naive height: 30.2103
primes of bad reduction: 2, 5, 13
regulator: 1.755696230392083346674451200487784459642
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:09:02 UTC
last updated: 2026-09-26 20:09:02 UTC

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

(25, 107)

Commentary

3-isogenous to S-1807; original source https://elliptic-rank.icarm.cloud/curve/1807. Rational 3-torsion kernel with x=0; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:09:02 UTC · history