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curve #5467

y² + y = x³ − 8938220110

a-invariants: [0, 0, 1, 0, -8938220110]
c-invariants: [0, 7722622174824]
rank (lower bound): ≥ 8
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 47343276284645512323
discriminant (Δ): -34513248411506578483467
Faltings height: 3.0035
naive height: 59.3504
primes of bad reduction: 3, 1324180757
regulator: 1119337.66528671302113861971176693897080028902504782901
submitted by: Daniel Błażewicz
submitted at: 2026-10-22 08:06:03 UTC
last updated: 2026-10-22 08:06:03 UTC

Witness: 8 independent points log in to add more points →

(2080, 7790)
(2356, 64337)
(2850, 119209)
(3570, 191209)
(17745/4, 2239547/8)
(4650, 302665)
(5638, 412646)
(7548, 648913)

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