curve #4359

y² = x³ − 11542418356x + 477302083195680

a-invariants

[0, 0, 0, -11542418356, 477302083195680]

c-invariants

[554036081088, -412388999881067520]

rank (lower bound)

≥ 5

torsion subgroup

ℤ/2ℤ × ℤ/2ℤ

conductor (N)

554036080832

discriminant (Δ)

306955978863682437812224

Faltings height

4.1925

naive height

81.1215

primes of bad reduction

2, 13, 17, 19, 59, 83, 421

regulator

57400.0782480371304577184510048971909643194261435

submitted by

Volkan Dagli

submitted at

2026-10-17 10:06:11 UTC

later contributions

(67502, -2395824)
(30036713/484, 143600043/10648)
(14086894/225, -846335728/3375)
(14556497/196, 14957099079/2744)
(1268500718/20449, 4955626512/2924207)

2-ISOG#1 torsion/torsion_Z4.tsv.gz:2354 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:06:11 UTC · history