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curve #1436

y² + xy + y = x³ + x² − 1395x + 106801

a-invariants: [1, 1, 1, -1395, 106801]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 20042
discriminant (Δ): -4807637762048
Faltings height: 1.1147
naive height: 36.6914
primes of bad reduction: 2, 11, 911
regulator: 3.66336062298767975283908374388400323515184
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:46:18 UTC
last updated: 2026-09-24 23:46:18 UTC

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

(-7, 344)
(191, 2522)

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 23:46:19 UTC · history

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