curve #2556

y² + xy + y = x³ − 208x − 1122

a-invariants: [1, 0, 1, -208, -1122]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 130
discriminant (Δ): 44994560
Faltings height: 0.2304
naive height: 27.6193
primes of bad reduction: 2, 5, 13
regulator: 3.511392460784166693348902400975568919284
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:58 UTC
last updated: 2026-09-26 20:08:58 UTC

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

(-37/4, -9/8)

Commentary

3-isogenous to S-1174; original source https://elliptic-rank.icarm.cloud/curve/1174. Rational 3-torsion kernel with x=4; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:58 UTC · history