On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\) (Q1357066)
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scientific article; zbMATH DE number 1022290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\) |
scientific article; zbMATH DE number 1022290 |
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On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\) (English)
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7 February 1999
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The author improves the result of [\textit{S. Kihara}, Proc. Japan Acad., Ser. A 73, No. 8, 151 (1997; Zbl 0906.11025)]. He proves that there exist infinitely many elliptic curves defined over \(\mathbb{Q}\) with rank \(\geq 14\). The construction is explicit.
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elliptic curves over global fields
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Mordell-Weil group
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