On the torsion of rational elliptic curves over quartic fields
Let E be an elliptic curve defined over ℚ and let G = E(ℚ)tors be the associated torsion subgroup. We study, for a given G, which possible groups G ⊆ H could appear such that H = E(K)tors, for [K: ℚ] = 4 and H is one of the possible torsion structures that occur infinitely often as torsion structure...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universidad Autónoma de Madrid |
| Repository: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Language: | English |
| OAI Identifier: | oai:repositorio.uam.es:10486/710794 |
| Online Access: | http://hdl.handle.net/10486/710794 https://dx.doi.org/10.1090/mcom/3235 |
| Access Level: | Open access |
| Keyword: | Elliptic curves Quartic fields Rationals Torsion subgroup Matemáticas |
| Summary: | Let E be an elliptic curve defined over ℚ and let G = E(ℚ)tors be the associated torsion subgroup. We study, for a given G, which possible groups G ⊆ H could appear such that H = E(K)tors, for [K: ℚ] = 4 and H is one of the possible torsion structures that occur infinitely often as torsion structures of elliptic curves defined over quartic number fields |
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