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curve #1516

y² + xy = x³ − 1282x + 36036

a-invariants: [1, 0, 0, -1282, 36036]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/3ℤ
conductor (N): 216634
discriminant (Δ): -429469106176
Faltings height: 0.9222
naive height: 34.5136
primes of bad reduction: 2, 11, 43, 229
regulator: 3.7764793366234407527303273129897196201345939
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:47:19 UTC
last updated: 2026-09-25 00:47:19 UTC

Witness: 3 independent points log in to add more points →

(-40, 174)
(-28, 238)
(356, 6510)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:47:19 UTC · history

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