On the \(\mathbb{Q}\)-curves associated to rational points of curves which are quotients of \(X_0(N)\) (Q2763795)
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scientific article; zbMATH DE number 1693182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(\mathbb{Q}\)-curves associated to rational points of curves which are quotients of \(X_0(N)\) |
scientific article; zbMATH DE number 1693182 |
Statements
7 May 2002
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modular curves
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elliptic curves
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rational points
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0.92874444
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0.90119374
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0.89353186
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0.89120734
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0.89093846
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0.8859662
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On the \(\mathbb{Q}\)-curves associated to rational points of curves which are quotients of \(X_0(N)\) (English)
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The author presents a method that parametrizes the \(\mathbb{Q}\)-curves attached to non cusp rational points on curves of genus at most 1 that are quotients of modular curves \(X_0(N)\) by proper subgroups of the group of Atkin-Lehner involutions, for \(N\) squarefree.
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