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curve #3538

y² + xy + y = x³ − 8240384756211x + 9104296242719257484

a-invariants: [1, 0, 1, -8240384756211, 9104296242719257484]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/6ℤ
conductor (N): 5360531663626
discriminant (Δ): 3782228547989697058271988866568244058
Faltings height: 6.0789
naive height: 100.8338
primes of bad reduction: 2, 17, 19, 31, 67, 373, 10711
regulator: 5892.13262532108879109453035562835640209580356271
submitted by: Tom Fisher
submitted at: 2026-09-27 23:42:05 UTC
last updated: 2026-09-27 23:42:05 UTC

Witness: 5 independent points log in to add more points →

(1629094, 58050562)
(1697876, 87204304)
(1647012, 6177952)
(-1498124, 4253637744)
(-1026986, 4060549687)

Commentary

2-isogenous to curve#3475

last edited by Tom Fisher at 2026-09-28 00:03:02 UTC · history

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