On 2-Selmer groups and quadratic twists of elliptic curves

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 h...

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Detalhes bibliográficos
Autor principal: Barrera Salazar, Daniel (author)
Outros Autores: Pacetti, Ariel (author), Tornaría, Gonzalo (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10773/35089
País:Portugal
Oai:oai:ria.ua.pt:10773/35089