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curve #4420

y² + xy = x³ − x² − 2152789x + 1315971169

a-invariants: [1, -1, 0, -2152789, 1315971169]
c-invariants: [103333881, -1136534087565]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 54491266824353774014
discriminant (Δ): -108982533648707548028
Faltings height: 2.5854
naive height: 55.5180
primes of bad reduction: 2, 51566329, 528360927383
regulator: 614874.9192839058939803822948630402356059847484538251205788
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:10 UTC
last updated: 2026-10-17 10:23:10 UTC

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

(599, 15228)
(812, 9733)
(822, 9653)
(985, 11772)
(987, 11833)
(1140, 17933)
(1312, 26705)
(1431, 33404)
(1790, 55633)
(2360, 95647)

Commentary

BASE records/rank_10.md#10 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

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

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