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curve #4424

y² + xy = x³ − 1792372x + 168435171

a-invariants: [1, 0, 0, -1792372, 168435171]
c-invariants: [86033857, -145657038529]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 356245105339268177309
discriminant (Δ): 356245105339268177309
Faltings height: 2.6337
naive height: 54.8108
primes of bad reduction: 356245105339268177309
regulator: 2030411.701667938504952947557773034004049846133061702796728
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:20 UTC
last updated: 2026-10-17 10:23:20 UTC

Witness: 10 independent points log in to add more points →

(-495, 30816)
(-958, 32205)
(-1246, 22249)
(-1379, 4959)
(62, 7555)
(-799, 33424)
(-194, -22461)
(-981, 31842)
(-9, -13581)
(3870, -228201)

Commentary

BASE records/rank_10.md#15 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:20 UTC · history

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