curve #2585

y² = x³ + x² − 100x − 252

a-invariants: [0, 1, 0, -100, -252]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/6ℤ
conductor (N): 220
discriminant (Δ): 44000000
Faltings height: 0.1651
naive height: 25.4391
primes of bad reduction: 2, 5, 11
regulator: 1.462714244463245720724978746026371010478
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:11:00 UTC
last updated: 2026-09-26 20:11:00 UTC

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

(-8, 10)

Commentary

2-isogenous to curve#1805 via the rational 2-torsion point x=4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.

last edited by Natanael Wildner Fraga at 2026-09-26 20:11:01 UTC · history