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curve #3525

y² = x³ + x² − 59259514501021x + 175584040105185701780

a-invariants: [0, 1, 0, -59259514501021, 175584040105185701780]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/6ℤ
conductor (N): 8562359590620
discriminant (Δ): 9852989984547341518819585502107275600
Faltings height: 6.4414
naive height: 106.7524
primes of bad reduction: 2, 3, 5, 11, 23, 53, 727, 14639
regulator: 1723.67960397657603276488456741594878221000666413
submitted by: Tom Fisher
submitted at: 2026-09-27 20:11:44 UTC
last updated: 2026-09-27 20:11:44 UTC

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

(4440857, 10367595)
(4449827, 17893425)
(4008112, 1566987930)
(-2189443, 17170728795)
(-43499, 13347722181)

Commentary

2-isogenous to curve#3491

last edited by Tom Fisher at 2026-09-28 00:07:39 UTC · history

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