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curve #1544

y² = x³ + x² − 3186740x + 1993852900

a-invariants: [0, 1, 0, -3186740, 1993852900]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/6ℤ
conductor (N): 6352540
discriminant (Δ): 351965765158617824000
Faltings height: 2.6794
naive height: 56.5371
primes of bad reduction: 2, 5, 41, 61, 127
regulator: 56.990569890405915004985925845022230854522449
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:53:01 UTC
last updated: 2026-09-25 00:53:01 UTC

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

(-1065, 64660)
(-2000, 19270)
(360, 29890)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:53:01 UTC · history

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