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curve #1465

y² + xy = x³ − 3042724240x + 68456442425600

a-invariants: [1, 0, 0, -3042724240, 68456442425600]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 848370
discriminant (Δ): -221606019647078400000000000000
Faltings height: 4.3810
naive height: 77.2376
primes of bad reduction: 2, 3, 5, 28279
regulator: 10.0577028587970432158250059772522337404086
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:09:19 UTC
last updated: 2026-09-25 00:09:19 UTC

Witness: 2 independent points log in to add more points →

(46580, 5248460)
(800, -8125840)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

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

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