curve #5141

y² = x³ + 19779840574906316264

a-invariants: [0, 0, 0, 0, 19779840574906316264]
c-invariants: [0, -17089782256719057252096]
rank (lower bound): ≥ 13
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 3521178838518392087099172002181518259264
discriminant (Δ): -169016584248882820180760256104712876444672
Faltings height: 6.5898
naive height: 102.3855
primes of bad reduction: 2, 3, 2143, 18097, 63753501523
regulator: 1200590238735.243481925517379692168213473854957340535919756253385
submitted by: dujella
submitted at: 2026-10-21 05:16:02 UTC
last updated: 2026-10-21 05:16:02 UTC

(-113354, 4447289520)
(413338, 4455385356)
(-500954, 4433297160)
(-686282, 4410965136)
(-1819850, 3708471792)
(2025370, 5299826292)
(3479158, 7867238976)
(4471546, 10449266340)
(-157702, 4447012316)
(622778, 4474526404)
(-1496230, 4053421292)
(-2113990, 3214423292)
(2952890, 6747424708)

Dujella (2009)

last edited by dujella at 2026-10-21 05:16:02 UTC · history