Parity of ranks of elliptic curves with equivalent mod p Galois representations
Given two elliptic curves and defined over the field of rational numbers that have good and ordinary reduction at an odd prime , and have equivalent, irreducible mod Galois representations, we study the variation of the parity of Selmer ranks and analytic ranks of and over certain number fields.
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
February 3, 2016
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| In: |
Proceedings of the American Mathematical Society
Year: 2016, Volume: 144, Issue: 8, Pages: 3255-3266 |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/proc/12993 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1090/proc/12993 Verlag, lizenzpflichtig, Volltext: https://www.ams.org/proc/2016-144-08/S0002-9939-2016-12993-6/ 
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| Author Notes: | Sudhanshu Shekhar; (communicated by Romyar T. Sharifi) |
| Summary: | Given two elliptic curves and defined over the field of rational numbers that have good and ordinary reduction at an odd prime , and have equivalent, irreducible mod Galois representations, we study the variation of the parity of Selmer ranks and analytic ranks of and over certain number fields. |
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| Item Description: | Gesehen am 06.05.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/proc/12993 |