curve #4348

y² = x³ − x² − 1787349481x + 27923134701481

a-invariants

[0, -1, 0, -1787349481, 27923134701481]

c-invariants

[85792775104, -24125073625428992]

rank (lower bound)

≥ 6

torsion subgroup

ℤ/2ℤ × ℤ/2ℤ

conductor (N)

169165275639360

discriminant (Δ)

28616890482140645856781209600

Faltings height

4.2224

naive height

75.5256

primes of bad reduction

2, 3, 5, 7, 11, 13, 23, 107, 233, 307

regulator

1176.1760750045315841792995261278451171674395431914

submitted by

Volkan Dagli

submitted at

2026-10-17 10:05:46 UTC

later contributions

(835, 5141136)
(940081, 910574280)
(28681, 502320)
(8891409/289, 7041511640/4913)
(9181, 3505320)
(5492005/361, 14144253816/6859)

BASE torsion/torsion_Z2xZ2.tsv.gz:103 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 10:05:47 UTC · history