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curve #1586

y² = x³ + x² − 985x + 2919

a-invariants: [0, 1, 0, -985, 2919]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ
conductor (N): 7440832
discriminant (Δ): 56669376512
Faltings height: 0.7546
naive height: 32.2925
primes of bad reduction: 2, 7, 17, 977
regulator: 9.380410630567725420967633985049064555133773220
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:22:50 UTC
last updated: 2026-09-25 01:22:50 UTC

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

(-31, 68)
(-25, 112)
(71, 544)
(-14, 119)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 01:22:50 UTC · history

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