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curve #4848

y² + y = x³ − 22

a-invariants: [0, 0, 1, 0, -22]
c-invariants: [0, 18792]
rank (lower bound): ≥ 2
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 204363
discriminant (Δ): -204363
Faltings height: -0.3021
naive height: 19.6824
primes of bad reduction: 3, 29
regulator: 7.15173985760058010037935597059594886098817
submitted by: Daniel Błażewicz
submitted at: 2026-10-20 22:05:23 UTC
last updated: 2026-10-20 22:05:23 UTC

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

(4, 6)
(49/16, 137/64)

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