curve #1097

y² + y = x³ + x² − 1712371016075117860x + 885787957535691389512940164

a-invariants: [0, 1, 1, -1712371016075117860, 885787957535691389512940164]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/5ℤ
conductor (N): 1749206417745070515
discriminant (Δ): -17609469014349995847741721132416039358639359071957896875
Faltings height: 9.3768
naive height: 137.6202
primes of bad reduction: 3, 5, 7, 11, 19, 41, 127, 1409, 10864429
regulator: 15359.907520934844123291811817890327384872481486283
submitted by: dujella
submitted at: 2026-09-23 18:55:21 UTC
last updated: 2026-09-23 18:55:21 UTC

(624069446, 7758948474007)
(763273511, 4842863582287)
(680848091, 5960986525147)
(294497588, 20175238652299)
(-206499124, 35079702960532)
(676477901, 6080971505482)

found by Dujella - Lecacheux (2001)

last edited by dujella at 2026-09-23 18:55:21 UTC · history