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ListarArtículos (Álgebra) por materia "Elliptic curves"

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      A complete diophantine characterization of the rational torsion of an elliptic curve 

      García Selfa, Irene; Tornero Sánchez, José María (Springer, 2012-01)
      We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non–)existence of integral solutions of a system of diophantine equations.
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      Galois Theory, discriminants and torsion subgroups of elliptic curves 

      García Selfa, Irene; González Jiménez, Enrique; Tornero Sánchez, José María (Elsevier, 2010-08)
      We find a tight relationship between the torsion subgroup and the image of the mod 2 Galois representation associated to ...
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      On simultaneous arithmetic progressions on elliptic curves 

      García Selfa, Irene; Tornero Sánchez, José María (Taylor & Francis, 2006)
      In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ...
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      Searching for simultaneous arithmetic progressions on elliptic curves 

      García Selfa, Irene; Tornero Sánchez, José María (Australian Mathematical Society, 2005-06)
      We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
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      Thue equations and torsion groups of elliptic curves 

      García Selfa, Irene; Tornero Sánchez, José María (Elsevier, 2009-02)
      A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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      Torsion of rational elliptic curves over cubic fields 

      González Jiménez, Enrique; Najman, Filip; Tornero Sánchez, José María (Rocky Mountain Mathematics Consortium, 2016)
      Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion ...
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      Torsion of rational elliptic curves over quadratic fields 

      González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2014-09)
      Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)tors and the torsion subgroup E(K)tors, where K is a quadratic number field.
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      Torsion of rational elliptic curves over quadratic fields II 

      González Jiménez, Enrique; Tornero Sánchez, José María (Springer, 2016-03)
      Let E be an elliptic curve defined over Q and let G=E(Q)_tors be the associated torsion group. In a previous paper, the ...