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curve #4786

y² + y = x³ + 5745

a-invariants: [0, 0, 1, 0, 5745]
c-invariants: [0, -4963896]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 1979649
discriminant (Δ): -14259411747
Faltings height: 0.6273
naive height: 30.8354
primes of bad reduction: 3, 7, 67
regulator: 3.6252755937304057054795063252770783348435605
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 21:35:02 UTC
last updated: 2026-10-20 21:35:02 UTC

Witness: 3 independent points log in to add more points →

(-7, 73)
(35, 220)
(-161/9, 109/27)

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