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An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\) - MaRDI portal

An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\) (Q1340359)

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scientific article; zbMATH DE number 701471
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English
An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\)
scientific article; zbMATH DE number 701471

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    An example of elliptic curve over \(\mathbb{Q}(T)\) with rank \(\geq 13\) (English)
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    19 December 1994
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    \textit{J. F. Mestre} [C. R. Acad. Sci., Paris, Sér. I, 313, No. 3, 139-142 and No. 4, 171-174 (1991; Zbl 0745.14013 and Zbl 0749.14026)] has constructed examples of elliptic curves over \(\mathbb{Q} (T)\) with ranks 11 or 12, respectively. The author uses Mestre's method to construct an elliptic curve with rank \(\geq 13\).
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    elliptic curve
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    rank
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