curve #4891

y² + xy = x³ − 1982530874182411x + 20140122959912918182385

a-invariants: [1, 0, 0, -1982530874182411, 20140122959912918182385]
c-invariants: [95161481960755729, -17401066380106984250714233]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 19104514585275752926831008870
discriminant (Δ): 323470745899411985137362826396328305324459622400
Faltings height: 7.8160
naive height: 117.2831
primes of bad reduction: 2, 3, 5, 7, 17, 37, 53, 149, 151, 17761, 178441, 38270569
regulator: 23153379.1089328722122831037341894112280759366651913596443689
submitted by: Ritik Jain
submitted at: 2026-10-20 22:31:49 UTC
last updated: 2026-10-20 22:31:49 UTC

(38331734, 21612542681)
(51731006, 236657459009)
(-42395282, -167282411279)
(42051668, 105492749771)
(1798989638, 76279100382281)
(-5510722, 175780881281)
(-11733826, -204413434495)
(38146910, -4874399935)
(-19572646, 226825665401)
(-23037790, -231475374295)
(39755966, -64506015295)

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