curve #1915

y² + xy = x³ − 1346404541224901580948752030x + 19318553476047119421649468184366353981476

a-invariants: [1, 0, 0, -1346404541224901580948752030, 19318553476047119421649468184366353981476]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/5ℤ
conductor (N): 3578006961762960205046338386
discriminant (Δ): -5015986778730137596649832509121703326323326244287784242400736464724411251721929568
Faltings height: 14.4721
naive height: 199.0469
primes of bad reduction: 2, 3, 7, 11, 19, 31, 41, 67, 89, 131, 43691, 9396626489
regulator: 4591584.28436439122582934101829394596437622603762541933
submitted by: dujella
submitted at: 2026-09-25 18:45:18 UTC
last updated: 2026-09-25 18:45:18 UTC

(12942920076352, 63720747352258155334)
(15622376802430, 45796178770313537884)
(17888256277234, 30948043911702748390)
(20046753870640, 19589500696221641206)
(25985838078466, 43340480124212287576)
(-3156496010696, -153417808323866764034)
(2984082857728, 123803646589650757114)
(3752540626408, 119661844030558924654)

found by Dujella - Lecacheux (2009)

last edited by dujella at 2026-09-25 18:45:18 UTC · history