curve #1451

y² + xy = x³ − 6899126078019379284080x + 220566339571303570918310192390400

a-invariants: [1, 0, 0, -6899126078019379284080, 220566339571303570918310192390400]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 2358523666590
discriminant (Δ): 340774348198353458847589718769133123301390625000000000000
Faltings height: 10.8828
naive height: 162.4706
primes of bad reduction: 2, 3, 5, 7, 13, 17, 67, 859, 883
regulator: 169.839190829460363775455060018642194494138
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:55:19 UTC
last updated: 2026-09-24 23:55:19 UTC

Torsion Z/6+Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:55:19 UTC · history