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curve #1448

y² = x³ + x² − 14996x + 1263780

a-invariants: [0, 1, 0, -14996, 1263780]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/6ℤ
conductor (N): 17940
discriminant (Δ): -479591742240000
Faltings height: 1.5101
naive height: 41.6303
primes of bad reduction: 2, 3, 5, 13, 23
regulator: 5.05057061032205925981625267508163391144643
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:52:18 UTC
last updated: 2026-09-24 23:52:18 UTC

Witness: 2 independent points log in to add more points →

(-128, 1050)
(-101, 1326)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:52:19 UTC · history

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