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curve #2054

y² = x³ − x² − 15483302840x + 265744371577500

a-invariants: [0, -1, 0, -15483302840, 265744371577500]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 6234348120
discriminant (Δ): 207051937125918643828750346265600
Faltings height: 4.8935
naive height: 82.0027
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 43, 71
regulator: 626.9284498334527411315017591882155201543055163
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:10:02 UTC
last updated: 2026-09-26 05:10:02 UTC

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

(121757, 13621608)
(2323305/16, -2102396205/64)
(-112095, 24348030)
(4559485/36, 3961343825/216)

Commentary

2-isogenous partner of curve#1684 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:52:54 UTC · history

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