curve #2555

y² + xy = x³ − 302x − 2036

a-invariants: [1, 0, 0, -302, -2036]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 254
discriminant (Δ): 16387064
Faltings height: 0.2284
naive height: 28.7451
primes of bad reduction: 2, 127
regulator: 1.294028472814994248108155523953168700816
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:55 UTC
last updated: 2026-09-26 20:08:55 UTC

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

(-10, 8)

Commentary

3-isogenous to S-2128; original source https://elliptic-rank.icarm.cloud/curve/2128. 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 20:08:55 UTC · history