curve #1111

y² = x³ + x² − 2013664127615449300x − 649446586170797281317775552

a-invariants: [0, 1, 0, -2013664127615449300, -649446586170797281317775552]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 892331075985258840
discriminant (Δ): 340356574581016128020613862117289588860507046948614560000
Faltings height: 9.5470
naive height: 138.0531
primes of bad reduction: 2, 3, 5, 7, 17, 19, 29, 53, 71, 73, 313, 1319
regulator: 8958.4300019096935887302707871341667157676019483981
submitted by: dujella
submitted at: 2026-09-23 20:25:12 UTC
last updated: 2026-09-23 20:25:12 UTC

(-378679454, 7667119485690)
(-362626354, 5751217317510)
(-348685504, 3208608800040)
(-471766609, 13983374893950)
(-984546058, 19461437192190)
(22309574516, 3325399770085200)

found by Eroshkin (2008)

last edited by dujella at 2026-09-23 20:25:12 UTC · history