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curve #143

y² + xy = x³ − x² − 1336456x + 594673996

a-invariants: [1, -1, 0, -1336456, 594673996]
rank (lower bound): ≥ 8
conductor (N): 311374862578586
naive height: 53.9302
Faltings height: 2.2472
discriminant (Δ): 172501673868536644
primes of bad reduction: 2, 277, 3221, 174495029
regulator: 5723.70755728757996648773821237143196032559827658967931
submitted by: cocoxhuang
last updated: 2026-07-01 22:56:22

Witness: 8 independent points

(682, -64)
(-426, -32750)
(-149, 28190)
(2451/4, -21287/8)
(2621, -124160)
(-980, -30534)
(5114, 354496)
(1236, 28190)

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