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curve #1441

y² + xy + y = x³ + x² − 10960x + 444849

a-invariants: [1, 1, 1, -10960, 444849]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 44878
discriminant (Δ): -2994455469056
Faltings height: 1.1855
naive height: 39.5546
primes of bad reduction: 2, 19, 1181
regulator: 6.94036303902058084089828510405200459854381
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:49:20 UTC
last updated: 2026-09-24 23:49:20 UTC

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

(-121, 193)
(63, 65)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:49:20 UTC · history

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