curve #2550

y² + xy = x³ − 25792786x − 50092914940

a-invariants: [1, 0, 0, -25792786, -50092914940]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/4ℤ
conductor (N): 6630
discriminant (Δ): 14258428094958372000000
Faltings height: 3.0810
naive height: 62.8104
primes of bad reduction: 2, 3, 5, 13, 17
regulator: 3.801014159581896052719847789097813897757
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:35 UTC
last updated: 2026-09-26 20:08:35 UTC

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

(-2852, 17926)

Commentary

3-isogenous to S-1060; original source https://elliptic-rank.icarm.cloud/curve/1060. Rational 3-torsion kernel with x=1220; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:36 UTC · history