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curve #4425

y² + y = x³ + x² − 437082x + 108823302

a-invariants: [0, 1, 1, -437082, 108823302]
c-invariants: [20979952, -94149212824]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 214367785687828469
discriminant (Δ): 214367785687828469
Faltings height: 2.1115
naive height: 50.5772
primes of bad reduction: 397849, 538816952381
regulator: 105695.04696662063121530226214764378927477961153062141676
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:23 UTC
last updated: 2026-10-17 10:23:23 UTC

Witness: 9 independent points log in to add more points →

(-3, 10494)
(311, 1751)
(333, 558)
(425, 98)
(428, 581)
(437, 1209)
(481, 3178)
(490, 3541)
(510, 4338)

Commentary

BASE records/rank_9.md#30 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:23 UTC · history

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