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curve #4837

y² + y = x³ − 84

a-invariants: [0, 0, 1, 0, -84]
c-invariants: [0, 72360]
rank (lower bound): ≥ 2
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 3030075
discriminant (Δ): -3030075
Faltings height: -0.0774
naive height: 22.3788
primes of bad reduction: 3, 5, 67
regulator: 10.5200922351301729408662887907268460460948
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:02:26 UTC
last updated: 2026-10-20 22:02:26 UTC

Witness: 2 independent points log in to add more points →

(6, 11)
(129/16, 1311/64)

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