An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method (Q1191361)
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scientific article; zbMATH DE number 59796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method |
scientific article; zbMATH DE number 59796 |
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An infinite family of elliptic curves over \(\mathbb{Q}\) with large rank via Néron's method (English)
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27 September 1992
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Here the author gives a simplified, complete and explicit (so explicit to have numerical examples) version of Néron's construction [\textit{A. Néron}, Proc. Internat. Congr. Math., Amsterdam 1954, Vol. III, 481-488 (1956; Zbl 0074.159)] of an infinite family of elliptic curves over \(\mathbb{Q}\) with rank 11: A very nice result and a very well written paper.
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high rank curves
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infinite family of elliptic curves with rank 11
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0.93317765
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0.90455705
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0.90404344
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0.89922875
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0.89790046
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0.8975644
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0.89601403
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0.89479065
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0.8927407
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