The infinite order point on \(Y^ 2 = X^ 3 - p^ 3\) (Q1902287)
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scientific article; zbMATH DE number 817810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The infinite order point on \(Y^ 2 = X^ 3 - p^ 3\) |
scientific article; zbMATH DE number 817810 |
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The infinite order point on \(Y^ 2 = X^ 3 - p^ 3\) (English)
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12 December 1995
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The explicit modular parametrization by \(X(12)\) of the elliptic curve \(Y^2= X^3+1\) is constructed. As an application, an infinite order point on the curve \(Y= X^3- p^3\) is given for \(p\equiv 7\pmod {24}\) by considering a quadratic twist.
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modular parametrization
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elliptic curve
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infinite order point
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