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curve #1269

y² = x³ − x² − 358745x + 20266521

a-invariants: [0, -1, 0, -358745, 20266521]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ
conductor (N): 1147880256
discriminant (Δ): 2779524122125012992
Faltings height: 2.2299
naive height: 49.9847
primes of bad reduction: 2, 3, 17, 137, 151
regulator: 58.3063276247081635193757355899351209129450961080
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:16:05 UTC
last updated: 2026-09-24 17:16:05 UTC

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(2624, 130917)
(23, 3468)
(-547, 7248)
(601, 4624)
(-3709/25, 1047336/125)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:16:05 UTC · history

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