curve #1108

y² = x³ + x² − 23686061832482481624168232900x + 1401294826072670363740983663536729053022048

a-invariants: [0, 1, 0, -23686061832482481624168232900, 1401294826072670363740983663536729053022048]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 1128310354841987032068083640
discriminant (Δ): 2182175518546620945117279927399307078679595556284484896613785027751885820974457760000
Faltings height: 15.0841
naive height: 207.6177
primes of bad reduction: 2, 3, 5, 7, 13, 17, 19, 23, 31, 41, 53, 61, 67, 109, 257, 263, 6857
regulator: 912335.584507936191421784852538543914410702833195120002
submitted by: dujella
submitted at: 2026-09-23 20:10:28 UTC
last updated: 2026-09-23 20:10:28 UTC

(-19578753643834, 1362913540526632116750)
(7039133112536, 1111266965543810963160)
(76748038982126, 188419870198587400230)
(-32194246291774, 1459616860760570800470)
(85367453744006, 37417621531734692430)
(85225678008086, 40788683120841618690)
(71598493464386, 269159820951235640790)
(94712810727878, 86857168689634948878)

found by Eroshkin (2008)

last edited by dujella at 2026-09-23 20:10:29 UTC · history