curve #2545

y² + xy = x³ − 913900x − 336246400

a-invariants: [1, 0, 0, -913900, -336246400]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 4290
discriminant (Δ): 30783551683856400
Faltings height: 2.1321
naive height: 52.7900
primes of bad reduction: 2, 3, 5, 11, 13
regulator: 3.217807863337066038697714191826748496880
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:17 UTC
last updated: 2026-09-26 20:08:17 UTC

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

(-550, 590)

Commentary

3-isogenous to S-1054; original source https://elliptic-rank.icarm.cloud/curve/1054. Rational 3-torsion kernel with x=200; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:17 UTC · history