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curve #1588

y² = x³ + x² − 134136x + 18864244

a-invariants: [0, 1, 0, -134136, 18864244]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/2ℤ
conductor (N): 7598320
discriminant (Δ): 146860328960
Faltings height: 1.4707
naive height: 47.0334
primes of bad reduction: 2, 5, 17, 37, 151
regulator: 24.77591102957726932481289778932373902707354446
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:23:10 UTC
last updated: 2026-09-25 01:23:10 UTC

Witness: 4 independent points log in to add more points →

(210, -28)
(212, -22)
(5426/25, -18724/125)
(215, -98)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:23:10 UTC · history

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