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curve #1596

y² = x³ + x² − 283945x + 57744600

a-invariants: [0, 1, 0, -283945, 57744600]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 35374580
discriminant (Δ): 19953474031250000
Faltings height: 1.9558
naive height: 49.2832
primes of bad reduction: 2, 5, 19, 127, 733
regulator: 19.51245781481846724977674884269763997202370753
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:24:30 UTC
last updated: 2026-09-25 01:24:30 UTC

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

(-565, 6175)
(-835/4, 83125/8)
(2760, 142500)
(-615, 375)

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 01:24:30 UTC · history

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