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curve #1435

y² + y = x³ − x² − 9020x + 332772

a-invariants: [0, -1, 1, -9020, 332772]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 17963
discriminant (Δ): -5026783883
Faltings height: 0.9211
naive height: 38.9354
primes of bad reduction: 11, 23, 71
regulator: 8.70246440098477746569245219905514662912718
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:45:18 UTC
last updated: 2026-09-24 23:45:18 UTC

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

(-105, 333)
(66, 143)

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 23:45:19 UTC · history

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