curve #2546

y² = x³ + x² − 445x − 3720

a-invariants: [0, 1, 0, -445, -3720]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 220
discriminant (Δ): 141724880
Faltings height: 0.3679
naive height: 29.9101
primes of bad reduction: 2, 5, 11
regulator: 2.194071366694868581087468119039556515717
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:08:20 UTC
last updated: 2026-09-26 20:08:20 UTC

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

(-467/36, 1331/216)

Commentary

3-isogenous to S-1805; original source https://elliptic-rank.icarm.cloud/curve/1805. Rational 3-torsion kernel with x=5; independent point witnesses transported by explicit Vélu map.

last edited by Natanael Wildner Fraga at 2026-09-26 20:08:21 UTC · history