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curve #4421

y² + y = x³ − 4465867x + 3595567536

a-invariants: [0, 0, 1, -4465867, 3595567536]
c-invariants: [214361616, -3106570351320]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 115353212066580971557
discriminant (Δ): 115353212066580971557
Faltings height: 2.6617
naive height: 57.5495
primes of bad reduction: 1699, 14759, 4600228248977
regulator: 904424.7333947161469530331790326040491225231970823943011324
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:12 UTC
last updated: 2026-10-17 10:23:12 UTC

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

(-222, 67646)
(557, 35789)
(765, 25037)
(923, 16121)
(1065, 6882)
(1118, 378)
(1392, 8735)
(1671, 28265)
(3226, 150870)
(3877, 211085)

Commentary

BASE records/rank_10.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:12 UTC · history

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