Add to ORKGFor a prime number p, we characterize the groups that may arise as torsion subgroups of an elliptic curve with complex multiplication defined over a number field of degree 2p. In particular, our work shows that a classification in the strongest sense is tied to determining whether there exist infinitely many Sophie Germain primes
In a series of papers we classify the possible torsion structures of rational elliptic curves base-e...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
We study the structure of Mordell-Weil groups of elliptic curves over number fields of degrees 2, 3,...
Barry Mazur famously classified the finitely many groups that can occur as a torsion subgroup of an ...
Let d be an integer and let K be a number field of degree d over Q. By the Mordell- Weil theorem we ...
We present a criterion for proving that certain groups of the form \(\mathbb {Z}/m\mathbb {Z}\oplus ...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
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...
Let $K$ be a number field. For positive integers $m$ and $n$ such that $m\mid n$, we let $\mathscr{S...
We study the structure of Mordell-Weil groups of elliptic curves over number fields of degrees 2, 3,...
Let $\mathcal{E}$ be an elliptic curve defined over a number field $K$. Let $m$ be a positive intege...
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(...
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
In a series of papers we classify the possible torsion structures of rational elliptic curves base-e...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
We study the structure of Mordell-Weil groups of elliptic curves over number fields of degrees 2, 3,...
Barry Mazur famously classified the finitely many groups that can occur as a torsion subgroup of an ...
Let d be an integer and let K be a number field of degree d over Q. By the Mordell- Weil theorem we ...
We present a criterion for proving that certain groups of the form \(\mathbb {Z}/m\mathbb {Z}\oplus ...
The determination of which finite abelian groups can occur as the torsion subgroup of an elliptic cu...
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...
Let $K$ be a number field. For positive integers $m$ and $n$ such that $m\mid n$, we let $\mathscr{S...
We study the structure of Mordell-Weil groups of elliptic curves over number fields of degrees 2, 3,...
Let $\mathcal{E}$ be an elliptic curve defined over a number field $K$. Let $m$ be a positive intege...
Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(...
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
In a series of papers we classify the possible torsion structures of rational elliptic curves base-e...
Let be a finite field of characteristic p, and C/ be a smooth, projective, absolutely irreducible c...
We study the structure of Mordell-Weil groups of elliptic curves over number fields of degrees 2, 3,...