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curve #1517

y² + xy = x³ − x² − 199881x + 34443873

a-invariants: [1, -1, 0, -199881, 34443873]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/3ℤ
conductor (N): 240426
discriminant (Δ): 57746856814524
Faltings height: 1.6972
naive height: 48.2300
primes of bad reduction: 2, 3, 19, 37
regulator: 2.3492261323480799927954017884135586026976487
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:48:18 UTC
last updated: 2026-09-25 00:48:18 UTC

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

(-432, 6543)
(12, 5655)
(-261, 8424)

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 00:48:19 UTC · history

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