Possible maximal rank of elliptic curve of the form \(y^2=x^3+pqx\) (Q2844349)
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scientific article; zbMATH DE number 6202490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Possible maximal rank of elliptic curve of the form \(y^2=x^3+pqx\) |
scientific article; zbMATH DE number 6202490 |
Statements
28 August 2013
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elliptic curve
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rank
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isogeny
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Possible maximal rank of elliptic curve of the form \(y^2=x^3+pqx\) (English)
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Let \(p\) and \(q\) be prime numbers such that \(p\equiv 3\mod 16\) and \(q\equiv 11 \mod 16\). The authors show that the elliptic curve \(y^2=x^3+pqx\) has possible maximal rank \(2\), by using descent via two-isogeny.
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