curve #2563

y² + xy = x³ − 1047000x − 231922620

a-invariants: [1, 0, 0, -1047000, -231922620]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/4ℤ
conductor (N): 4290
discriminant (Δ): 50235797102795981820
Faltings height: 2.4787
naive height: 53.1979
primes of bad reduction: 2, 3, 5, 11, 13
regulator: 6.435615726674132077395428383653496993759
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:09:27 UTC
last updated: 2026-09-26 20:09:27 UTC

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

(2112, 82482)

Commentary

3-isogenous to S-1055; original source https://elliptic-rank.icarm.cloud/curve/1055. Rational 3-torsion kernel with x=420; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:09:27 UTC · history