curve #2551

y² + xy + y = x³ − 1616469x − 747850208

a-invariants: [1, 0, 1, -1616469, -747850208]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 2310
discriminant (Δ): 28800309694464000000
Faltings height: 2.4857
naive height: 54.5009
primes of bad reduction: 2, 3, 5, 7, 11
regulator: 4.991286302704546531762440602478766104752
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:39 UTC
last updated: 2026-09-26 20:08:39 UTC

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

(-20869/25, 611214/125)

Commentary

3-isogenous to S-1047; original source https://elliptic-rank.icarm.cloud/curve/1047. Rational 3-torsion kernel with x=374; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:39 UTC · history