curve #1450

y² + xy = x³ − x² − 4605187112597800395x + 3803811231801293246644095825

a-invariants: [1, -1, 0, -4605187112597800395, 3803811231801293246644095825]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 21759793110
discriminant (Δ): 2251048769197861753239269491517524242750496940062500
Faltings height: 9.2402
naive height: 140.5347
primes of bad reduction: 2, 3, 5, 11, 17, 31, 179, 233
regulator: 64.1342108378572994172102669961438679850515
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:54:18 UTC
last updated: 2026-09-24 23:54:18 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 23:54:19 UTC · history