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A simple criterion for the \(m\)-cyclicity of the group of rational points on an elliptic curve defined over a finite field - MaRDI portal

A simple criterion for the \(m\)-cyclicity of the group of rational points on an elliptic curve defined over a finite field (Q818751)

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scientific article; zbMATH DE number 5014006
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English
A simple criterion for the \(m\)-cyclicity of the group of rational points on an elliptic curve defined over a finite field
scientific article; zbMATH DE number 5014006

    Statements

    A simple criterion for the \(m\)-cyclicity of the group of rational points on an elliptic curve defined over a finite field (English)
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    21 March 2006
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    The author gives a simple criterion for the cyclicity of the \(m\)--torsion subgroup of the group of rational points on an elliptic curve defined over a finite field of characteristic \(p>3\) when \(m=2,3,4,6,12\).
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    elliptic curves
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    torsion subgroup
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    finite field
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