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curve #4830

y² + y = x³ − 209

a-invariants: [0, 0, 1, 0, -209]
c-invariants: [0, 180360]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 18825075
discriminant (Δ): -18825075
Faltings height: 0.0748
naive height: 24.2054
primes of bad reduction: 3, 5, 167
regulator: 34.448382973342762410502800472371424969357598
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:00:57 UTC
last updated: 2026-10-20 22:00:57 UTC

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

(11, 33)
(29, 155)
(89, 839)

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