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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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2022
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/35089 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/35089 |