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curve #1595

y² + xy + y = x³ − 121870x + 17419212

a-invariants: [1, 0, 1, -121870, 17419212]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 34906762
discriminant (Δ): -15392403321748156
Faltings height: 1.8538
naive height: 46.8705
primes of bad reduction: 2, 11, 19, 37, 61
regulator: 24.98372026026542662038518414058651313765033875
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:24:20 UTC
last updated: 2026-09-25 01:24:20 UTC

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

(-293, 5437)
(5503/9, 345415/27)
(-370, 3633)
(3777, 229287)

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 01:24:20 UTC · history

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