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curve #4836

y² + y = x³ − 83

a-invariants: [0, 0, 1, 0, -83]
c-invariants: [0, 71496]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 2958147
discriminant (Δ): -2958147
Faltings height: -0.0794
naive height: 22.3548
primes of bad reduction: 3, 331
regulator: 23.086560696182056698711737004730616965974701
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:02:15 UTC
last updated: 2026-10-20 22:02:15 UTC

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

(5, 6)
(17, 69)
(43/9, 125/27)

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