The modularity of Q-curves of degree 43

• Autores: Takuya Yamauchi
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1025-1036
• Idioma: inglés
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• Resumen

  • Using the absolute invariant of elliptic curves on the modular curve of level 43, we construct a family of elliptic curves over number fields which are isogenous to all its Galois conjugates and we prove their modularity under some conditions