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curve #1537

y² + y = x³ − x² − 2155250x + 1365472656

a-invariants: [0, -1, 1, -2155250, 1365472656]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 6060655
discriminant (Δ): -163896221652060546875
Faltings height: 2.6088
naive height: 55.5916
primes of bad reduction: 5, 31, 61, 641
regulator: 50.275470251178774435653846316502369204541085
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:51:51 UTC
last updated: 2026-09-25 00:51:51 UTC

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

(-1620, 24552)
(-1375, 41562)
(1025, 15237)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:51:51 UTC · history

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