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Torsion Points on Certain Families of Elliptic Curves

  Published:2003-03-01
 Printed: Mar 2003
  • Małgorzata Wieczorek
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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 show english descriptions Elliptic curves over global fields [See also 14H52] 11G05 - Elliptic curves over global fields [See also 14H52]
 

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