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curve #1674

y² + xy = x³ − 14112662165626x + 15235248324804401636

a-invariants: [1, 0, 0, -14112662165626, 15235248324804401636]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/6ℤ
conductor (N): 6110680457310
discriminant (Δ): 79617170868240992171789806534706583306240
Faltings height: 6.5576
naive height: 102.4479
primes of bad reduction: 2, 3, 5, 11, 13, 67, 73, 181, 1609
regulator: 2630.32785716774213481529432782443053347598758438
submitted by: Michael Rubinstein
submitted at: 2026-09-25 02:59:26 UTC
last updated: 2026-09-25 02:59:26 UTC

Witness: 5 independent points log in to add more points →

(19508168, 84631368950)
(422804, 3056574518)
(5870180, 11601891494)
(64841332/9, 457727491570/27)
(128414420, 1454511525686)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 02:59:26 UTC · history

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