curve #1095

y² + xy = x³ − 2895282112695299617406105462760x + 1551478570292532622613954216675017870898049600

a-invariants: [1, 0, 0, -2895282112695299617406105462760, 1551478570292532622613954216675017870898049600]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/6ℤ
conductor (N): 1322164299121207471340849130
discriminant (Δ): 513429274040153656085492463405358326361812741884489748470153053481066756065005662109696000000
Faltings height: 16.5068
naive height: 222.0355
primes of bad reduction: 2, 3, 5, 7, 11, 19, 23, 31, 41, 53, 89, 191, 269, 461, 1627, 5669
regulator: 1516719.72836374578207204340014614788789671226327483608
submitted by: dujella
submitted at: 2026-09-23 18:45:16 UTC
last updated: 2026-09-23 18:45:16 UTC

(423466519365720, 20034000793195593882840)
(152239878532560, 33380078321810438812440)
(1452694866019920, 20277365658610124188440)
(-169921905167448, -45150240120280712371584)
(1307294853205320, 827040928799822932440)
(96839725767120, 35665226726282437276440)
(1419452549202870, 17370682407864884975940)
(-1487468380734000, -50665597817761688849640)

found by Dujella - Peral - Tadić (2019)

last edited by dujella at 2026-09-23 18:45:16 UTC · history