Division of elliptic functions (Q1063080)
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scientific article; zbMATH DE number 3914472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Division of elliptic functions |
scientific article; zbMATH DE number 3914472 |
Statements
Division of elliptic functions (English)
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1985
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Let E be an elliptic curve with equation \(y^ 2=x^ 3+rx+s\); further, let Q, R be a base of the group of points of order \(3^ n\) and let P be an arbitrary point of E. The author derives explicit expressions for the coordinates of the points \(3^{-n}P+aQ+bR\) \((a,b=0,1,...,3^ n-1)\) in terms of the coordinates of P, Q, R.
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torsion point
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elliptic curve
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