Add to ORKGLet be an elliptic curve over a given number field K. By Mordell’s Theorem, the torsion subgroup of defined over is a finite group. Using Lutz-Nagell Theorem, we explicitly calculate the torsion subgroup for cer-tain elliptic curves depending on their coefficients. E tors
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
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...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
This is an extended version of an expository talk given at a seminar1 on Mazur’s torsion theorem, su...
The first important result on elliptic curves E over number fields K is the theorem of the title. It...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
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...
2015-06-25Let E be an elliptic curve defined over a number field K. Then its Mordell-Weil group E(K)...
This is an extended version of an expository talk given at a seminar1 on Mazur’s torsion theorem, su...
The first important result on elliptic curves E over number fields K is the theorem of the title. It...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We investigate $E(K)_{\text{tors}}$ for vari...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
Elliptic curves are an interesting area of study in mathematics, laying at the intersection of algeb...
AbstractA uniform bound is given for the order of the torsion subgroup of E(K), the group of K-ratio...
summary:We compute the torsion group explicitly over quadratic fields and number fields of degree co...
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...