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curve #1446

y² + xy = x³ − 37731x + 2361961

a-invariants: [1, 0, 0, -37731, 2361961]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/6ℤ
conductor (N): 17630
discriminant (Δ): 1021272411815000
Faltings height: 1.6003
naive height: 43.2283
primes of bad reduction: 2, 5, 41, 43
regulator: 14.0845988079434702661277810913072754054867
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:50:19 UTC
last updated: 2026-09-24 23:50:19 UTC

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

(-64, 2157)
(20, 1261)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:50:19 UTC · history

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