curve #4354

y² = x³ − 9751166076x + 370622704706080

a-invariants

[0, 0, 0, -9751166076, 370622704706080]

c-invariants

[468055971648, -320218016866053120]

rank (lower bound)

≥ 5

torsion subgroup

ℤ/4ℤ

conductor (N)

233551432224

discriminant (Δ)

252011417221218140631281664

Faltings height

4.3056

naive height

80.6156

primes of bad reduction

2, 3, 11, 67, 73, 15073

regulator

457.185735633712647721658065473995903317499021013

submitted by

Volkan Dagli

submitted at

2026-10-17 10:05:59 UTC

later contributions

(-1539, 19637365)
(58158, 474628)
(65528, 3608352)
(57086, 12060)
(56838, 66308)

BASE torsion/torsion_Z4.tsv.gz:2325 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:59 UTC · history