curve #4344

y² + y = x³ + x² − 1088393737396669320x + 654396975751085060057396840

a-invariants: [0, 1, 1, -1088393737396669320, 654396975751085060057396840]
c-invariants: [52242899395040127376, -565398987362394888259831634200]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/5ℤ
conductor (N): 24166930049132587563
discriminant (Δ): -102481711035098528082621432592006663195562791472457789483
Faltings height: 9.4472
naive height: 137.0147
primes of bad reduction: 3, 7, 11, 19, 31, 53, 199, 379, 44435089
regulator: 26051.144633737197593651739801802823657230595737396
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:05:37 UTC
last updated: 2026-10-17 10:05:37 UTC

(207964965, 20905587190834)
(12825189591, 1447844297655991)
(-802988517, 31790017854787)
(360885890466/169, 197336191327936903/2197)
(-6680663412/49, 9703046731355944/343)
(252923010, 19882068630484)

BASE torsion/torsion_Z5.tsv.gz:2093 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:37 UTC · history