Torsion of Rational Elliptic Curves over Cubic Fields

نویسندگان

  • ENRIQUE GONZÁLEZ-JIMÉNEZ
  • FILIP NAJMAN
  • JOSÉ M. TORNERO
چکیده

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 cubic number field. In particular, we study the number of cubic number fields K such that E(Q)tors ̸= E(K)tors.

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تاریخ انتشار 2014