curve #2584

y² + xy = x³ − 187842820x + 990906448400

a-invariants: [1, 0, 0, -187842820, 990906448400]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/10ℤ
conductor (N): 29370
discriminant (Δ): 972182437259299200000
Faltings height: 3.3029
naive height: 68.7670
primes of bad reduction: 2, 3, 5, 11, 89
regulator: 3.780028731494910496217170472491151820891
submitted by: Natanael Wildner Fraga
submitted at: 2026-09-26 20:10:57 UTC
last updated: 2026-09-26 20:10:57 UTC

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

(60590, -14592070)

Commentary

2-isogenous to curve#1732 via the rational 2-torsion point x=-3960. 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 20:10:57 UTC · history