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curve #261

y² + xy = x³ − x² − 14926x + 2493976

a-invariants: [1, -1, 0, -14926, 2493976]
rank (lower bound): ≥ 8
conductor (N): 1233071100392458
naive height: 42.9789
Faltings height: 1.6368
discriminant (Δ): -2466142200784916
primes of bad reduction: 2, 10936531, 56373959
regulator: 46917.7947851491411481939581627807552120479855413117224
submitted by: David Renshaw
submitted at: 2026-07-29 13:42:42 UTC
last updated: 2026-07-29 13:42:42 UTC

Witness: 8 independent points

(-171, 241)
(-170, 396)
(-165, 749)
(-158, 1022)
(-148, 1276)
(-146, 1316)
(-126, 1600)
(-118, 1672)

Commentary

From a dataset compiled by Xiaoyu Huang.

last edited by David Renshaw at 2026-07-29 13:46:57 UTC · history

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