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curve #3539

y² + xy + y = x³ − 52708480694289703x + 4654636280305940076214256

a-invariants: [1, 0, 1, -52708480694289703, 4654636280305940076214256]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/6ℤ
conductor (N): 23340040158996330
discriminant (Δ): 12210659182986112668468207900051715549034923067250
Faltings height: 8.3517
naive height: 127.1243
primes of bad reduction: 2, 3, 5, 7, 11, 17, 37, 227, 1201, 58921
regulator: 87954.916583514502797397617460503629952434046223542
submitted by: Tom Fisher
submitted at: 2026-09-27 23:53:50 UTC
last updated: 2026-09-27 23:53:50 UTC

Witness: 6 independent points log in to add more points →

(149943202, 349961461634)
(89208220, 813917961047)
(469977070, 9148025176382)
(2026642165/16, 6563991130493/64)
(175874800, -908213741728)
(-2364220940/9, 16498842612844/27)

Commentary

2-isogenous to curve#3494

last edited by Tom Fisher at 2026-09-27 23:55:29 UTC · history

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