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curve #1439

y² + y = x³ + x² − 33820x + 2382628

a-invariants: [0, 1, 1, -33820, 2382628]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/5ℤ
conductor (N): 42549
discriminant (Δ): 98434601109
Faltings height: 1.2225
naive height: 42.9001
primes of bad reduction: 3, 13, 1091
regulator: 5.88993202770007422638216044558148734519622
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:48:59 UTC
last updated: 2026-09-24 23:48:59 UTC

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

(-88, 2164)
(211, 2164)

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 23:48:59 UTC · history

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