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curve #1422

y² + y = x³ + x² − 5155x + 140756

a-invariants: [0, 1, 1, -5155, 140756]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/3ℤ
conductor (N): 4355
discriminant (Δ): -176921875
Faltings height: 0.7333
naive height: 37.2570
primes of bad reduction: 5, 13, 67
regulator: 1.37796501265245491717670447082358620344685
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:32:19 UTC
last updated: 2026-09-24 23:32:19 UTC

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

(70, 357)
(-60, -488)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:32:19 UTC · history

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