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curve #4844

y² + y = x³ − 126

a-invariants: [0, 0, 1, 0, -126]
c-invariants: [0, 108648]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 6831243
discriminant (Δ): -6831243
Faltings height: -0.0097
naive height: 23.1917
primes of bad reduction: 3, 503
regulator: 36.654303349237783912456952636242046698670190
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:03:55 UTC
last updated: 2026-10-20 22:03:55 UTC

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

(6, 9)
(33/4, 163/8)
(208/9, 2971/27)

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