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curve #258

y² + xy + y = x³ − x² − 10479x + 1611834

a-invariants: [1, -1, 1, -10479, 1611834]
rank (lower bound): ≥ 8
conductor (N): 1045057162881491
naive height: 42.1057
Faltings height: 1.5647
discriminant (Δ): -1045057162881491
primes of bad reduction: 709, 2003, 735889933
regulator: 18842.7353975802669084456600791753006923507427030575082
submitted by: David Renshaw
submitted at: 2026-07-29 13:42:40 UTC
last updated: 2026-07-29 13:42:40 UTC

Witness: 8 independent points

(-146, 189)
(-142, 541)
(-128, 982)
(-124, 1058)
(-102, 1320)
(-94, 1373)
(-68, 1450)
(-7, 1301)

Commentary

From a dataset compiled by Xiaoyu Huang.

last edited by David Renshaw at 2026-07-29 13:46:56 UTC · history

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