Jacobians of some curves of genus 2: torsion and simplicity (Q1909877)
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scientific article; zbMATH DE number 858028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jacobians of some curves of genus 2: torsion and simplicity |
scientific article; zbMATH DE number 858028 |
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Jacobians of some curves of genus 2: torsion and simplicity (English)
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24 March 1996
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The author constructs equation of curves of genus 2, defined over \(\mathbb{Q}\), whose Jacobian has a \(\mathbb{Q}\)-rational point of order \(n\) for \(n=21\), 22, 23, 25, 26, 27 and 29; the Jacobian of all these curves are shown to be absolutely simple.
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equation of curves
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Jacobian
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0.9287857
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0.9245496
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0.91876864
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0.9142728
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0.91367006
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0.91212225
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0.90692735
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0.90692735
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