Parity of ranks of elliptic curves with equivalent mod \(p\) Galois representations (Q2809181)
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scientific article; zbMATH DE number 6586330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parity of ranks of elliptic curves with equivalent mod \(p\) Galois representations |
scientific article; zbMATH DE number 6586330 |
Statements
27 May 2016
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Iwasawa theory
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congruences
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Selmer groups
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elliptic curves
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\(\text{mod\,}p\) Galois representations
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0.94398606
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0.9233725
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0.9036312
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0.90062284
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0.89645344
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0.89424205
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0.8909532
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0.88847965
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Parity of ranks of elliptic curves with equivalent mod \(p\) Galois representations (English)
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The proof of the main result (Theorem 1.1) crucially relies on the methods and results of \textit{R. Greenberg} and \textit{V. Vatsal} [Invent. Math. 142, No. 1, 17--63 (2000; Zbl 1032.11046)].NEWLINENEWLINE From the text: ``In Section 4, we discuss several examples of elliptic curves to illustrate applications of our results and also to explain the assumptions in Theorem 1.1''.
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