curve #1121

y² + xy + y = x³ − 4019175690941783130628x + 97050922917328246600400524493006

a-invariants: [1, 0, 1, -4019175690941783130628, 97050922917328246600400524493006]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/6ℤ
conductor (N): 783917988850972810230
discriminant (Δ): 86233704788609809779786284580740058975764955697867720630860562500
Faltings height: 11.2712
naive height: 160.8497
primes of bad reduction: 2, 3, 5, 11, 19, 31, 37, 53, 103, 383, 487, 107053
regulator: 317006.7396740193263655647974384974783331066424334123
submitted by: dujella
submitted at: 2026-09-23 21:09:44 UTC
last updated: 2026-09-23 21:09:44 UTC

(-21470236145, -13169894998135303)
(6797578855, 8369247193969697)
(40568361277, 875555712946313)
(39706357882, 254801927431934)
(31943322940, 1122165893548322)
(-49413353270, -13228743202800553)
(24325376740, 3698212836832562)

found by Eroshkin (2008)

last edited by dujella at 2026-09-23 21:09:44 UTC · history