summary:We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form $E\colon y^2 = x^3 +c$, where $c$ is an integer
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
Let be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of ...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
This is an extended version of an expository talk given at a seminar1 on Mazur’s torsion theorem, su...
In this paper we construct infinite families of elliptic curves with given torsion group structures ...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
summary:We determine explicitly the structure of the torsion group over the maximal abelian extensio...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
Let be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of ...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
This is an extended version of an expository talk given at a seminar1 on Mazur’s torsion theorem, su...
In this paper we construct infinite families of elliptic curves with given torsion group structures ...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-c...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
summary:We determine explicitly the structure of the torsion group over the maximal abelian extensio...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
Let be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of ...