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curve #4806

y² + y = x³ + 38487

a-invariants: [0, 0, 1, 0, 38487]
c-invariants: [0, -33252984]
rank (lower bound): ≥ 5
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 213302651409
discriminant (Δ): -639907954227
Faltings height: 0.9443
naive height: 34.6393
primes of bad reduction: 3, 153949
regulator: 459.742033177523378971456576085443580736152045879
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 21:38:56 UTC
last updated: 2026-10-20 21:38:56 UTC

Witness: 5 independent points log in to add more points →

(-33, 50)
(-13, 190)
(5, 196)
(75, 678)
(137, 1615)

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