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curve #4091

y² + xy + y = x³ − x² + 11479x − 199848

a-invariants: [1, -1, 1, 11479, -199848]
c-invariants: [-551007, 170188911]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/4ℤ
conductor (N): 838827
discriminant (Δ): -113573375074863
Faltings height: 1.3856
naive height: 39.6585
primes of bad reduction: 3, 11, 37, 229
regulator: 21.670775172042042198044880557583833214247881
submitted by: NDElkies
submitted at: 2026-10-09 14:20:36 UTC
last updated: 2026-10-09 14:20:36 UTC

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

(29, 381)
(20, 183)
(524, 11964)

Commentary

Fourth-smallest Faltings height of all curves of naïve height at most 2^90 with this MW group

last edited by NDElkies at 2026-10-09 14:20:36 UTC · history

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