curve #4356

y² = x³ − x² − 32094184x + 6065334687664

a-invariants

[0, -1, 0, -32094184, 6065334687664]

c-invariants

[1540520848, -5240439927016640]

rank (lower bound)

≥ 5

torsion subgroup

ℤ/4ℤ

conductor (N)

170491252272

discriminant (Δ)

-15890367278754253287089319936

Faltings height

4.0902

naive height

72.3904

primes of bad reduction

2, 3, 11, 89, 97, 113, 331

regulator

2598.18950164178565758815251552696372452336160965

submitted by

Volkan Dagli

submitted at

2026-10-17 10:06:03 UTC

later contributions

(-9414, 2352250)
(-4855, 2471172)
(18813, 3481330)
(341636, 199672440)
(74394, 20381446)

BASE torsion/torsion_Z4.tsv.gz:2323 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:03 UTC · history