For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every prime $p$, we describe the image of the mod $ p$ Galois representation attached to $E$. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all cases where there are torsion points over Galois number fields not containing the field of definition of the CM
Abstract. We classify the possible torsion structures of rational ellip-tic curves over cubic fields...
Abstract. Let E be an elliptic curve over a ¯nite ¯eld K = Fq, and n 6= char(K) a prime. Then the ¯e...
We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These f...
For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every p...
For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every...
For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every p...
Abstract. For any elliptic curve E defined over the rationals with complex multiplication (CM) and f...
Abstract. We give an explicit recipe for the determination of the images associated to the Galois ac...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
This is a summary of our previous work on relation between torsion points and bad reduction primes o...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
This paper begins with a brief discussion of algebraic geometry. Elliptic\ud curves are algebraic va...
AbstractWe find a tight relationship between the torsion subgroup and the image of the mod 2 Galois ...
AbstractWe derive upper bounds on the number of L-rational torsion points on a given elliptic curve ...
Let E be an elliptic curve overQ. Our primary goal in this paper is to investigate for how many prim...
Abstract. We classify the possible torsion structures of rational ellip-tic curves over cubic fields...
Abstract. Let E be an elliptic curve over a ¯nite ¯eld K = Fq, and n 6= char(K) a prime. Then the ¯e...
We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These f...
For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every p...
For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every...
For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every p...
Abstract. For any elliptic curve E defined over the rationals with complex multiplication (CM) and f...
Abstract. We give an explicit recipe for the determination of the images associated to the Galois ac...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
This is a summary of our previous work on relation between torsion points and bad reduction primes o...
Abstract. We give the complete list of possible torsion subgroups of elliptic curves with complex mu...
This paper begins with a brief discussion of algebraic geometry. Elliptic\ud curves are algebraic va...
AbstractWe find a tight relationship between the torsion subgroup and the image of the mod 2 Galois ...
AbstractWe derive upper bounds on the number of L-rational torsion points on a given elliptic curve ...
Let E be an elliptic curve overQ. Our primary goal in this paper is to investigate for how many prim...
Abstract. We classify the possible torsion structures of rational ellip-tic curves over cubic fields...
Abstract. Let E be an elliptic curve over a ¯nite ¯eld K = Fq, and n 6= char(K) a prime. Then the ¯e...
We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These f...
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