Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35089
Title: | On 2-Selmer groups and quadratic twists of elliptic curves |
Author: | Barrera Salazar, Daniel Pacetti, Ariel Tornaría, Gonzalo |
Keywords: | 2-Selmer group Quadratic twists |
Issue Date: | 2021 |
Publisher: | International Press |
Abstract: | Let K be a number field and E/K be an elliptic curve with no 2‑torsion points. In the present article we give lower and upper bounds for the 2‑Selmer rank of E in terms of the 2‑torsion of a narrow class group of a certain cubic extension of K attached to E. As an application, we prove (under mild hypotheses) that a positive proportion of prime conductor quadratic twists of E have the same 2‑Selmer group. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35089 |
DOI: | 10.4310/MRL.2021.v28.n6.a1 |
ISSN: | 1073-2780 |
Publisher Version: | https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0028/0006/a001/ |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2Selmer.pdf | 627.7 kB | Adobe PDF |
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