curve #4360

y² = x³ + x² − 38270409x + 86932347831

a-invariants

[0, 1, 0, -38270409, 86932347831]

c-invariants

[1836979648, -75120570403840]

rank (lower bound)

≥ 5

torsion subgroup

ℤ/2ℤ × ℤ/2ℤ

conductor (N)

63013841088

discriminant (Δ)

321630277661761078923264

Faltings height

3.2681

naive height

63.9942

primes of bad reduction

2, 3, 11, 19, 29, 173, 313

regulator

180.877088935310150425948921398188765197619986230

submitted by

Volkan Dagli

submitted at

2026-10-17 10:06:12 UTC

later contributions

(-6150, 299541)
(75543, 20695560)
(21081, 2940948)
(-7089, 45072)
(-9965/9, 9657928/27)

BASE torsion/torsion_Z2xZ2.tsv.gz:8 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:12 UTC · history