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.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
February 3, 2016
|
| In: |
Proceedings of the American Mathematical Society
Year: 2016, Jahrgang: 144, Heft: 8, Pages: 3255-3266 |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/proc/12993 |
| Online-Zugang: | 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/ 
|
| Verfasserangaben: | Sudhanshu Shekhar; (communicated by Romyar T. Sharifi) |
| Zusammenfassung: | 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. |
|---|---|
| Beschreibung: | Gesehen am 06.05.2020 |
| Beschreibung: | Online Resource |
| ISSN: | 1088-6826 |
| DOI: | 10.1090/proc/12993 |