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curve #3468

y² + xy = x³ − 107483887227x + 14193121444682769

a-invariants: [1, 0, 0, -107483887227, 14193121444682769]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/3ℤ
conductor (N): 9730454816874
discriminant (Δ): -7552964321094031954338987865276416
Faltings height: 5.2586
naive height: 87.9062
primes of bad reduction: 2, 3, 11, 31, 1093, 1933, 2251
regulator: 695.47262958171095561625435723303505667891994827237
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:43:07 UTC
last updated: 2026-09-27 05:43:07 UTC

Witness: 6 independent points log in to add more points →

(445722, -234393699)
(245214, -50928879)
(157038, -34528143)
(144278, 41023817)
(1734702, -2247596319)
(179742, 26000721)

Commentary

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

last edited by Michael Rubinstein at 2026-09-27 05:43:07 UTC · history

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