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curve #2053

y² = x³ − x² − 947508x − 45367488

a-invariants: [0, -1, 0, -947508, -45367488]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 97561200
discriminant (Δ): 53539806068100000000
Faltings height: 2.4754
naive height: 52.8984
primes of bad reduction: 2, 3, 5, 11, 19, 389
regulator: 309.0838845864317199952422842726086472655863783
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:09:14 UTC
last updated: 2026-09-26 05:09:14 UTC

Witness: 4 independent points log in to add more points →

(-884, 10032)
(5452, 396000)
(-372, 15984)
(-587, 17556)

Commentary

2-isogenous partner of curve#1710 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:52:01 UTC · history

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