location:  Publications → journals → CMB
Abstract view

# Torsion Points on Certain Families of Elliptic Curves

Published:2003-03-01
Printed: Mar 2003
• Małgorzata Wieczorek
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

Fix an elliptic curve $y^2 = x^3+Ax+B$, satisfying $A,B \in \ZZ$, $A\geq |B| > 0$. We prove that the $\QQ$-torsion subgroup is one of $(0)$, $\ZZ/3\ZZ$, $\ZZ/9\ZZ$. Related numerical calculations are discussed.
 MSC Classifications: 11G05 - Elliptic curves over global fields [See also 14H52]