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curve #4839

y² + y = x³ − 85

a-invariants: [0, 0, 1, 0, -85]
c-invariants: [0, 73224]
rank (lower bound): ≥ 2
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 3102867
discriminant (Δ): -3102867
Faltings height: -0.0755
naive height: 22.4026
primes of bad reduction: 3, 113
regulator: 14.3636673100080010037673875805817438557046
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:02:38 UTC
last updated: 2026-10-20 22:02:38 UTC

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

(25/4, 97/8)
(49/4, 331/8)

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