Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplication over (F) over bar, i.e. End((F) over bar)(E) circle times Q is an imaginary quadratic field. With the aid of CM theory, we find elliptic curves whose quadratic twists have a constant root number
Let (Formula presented.) be the Legendre family of elliptic curves. Given (Formula presented.) point...
This thesis examines the relationship between elliptic curves with complex multiplication and Lambda...
AbstractWe give explicit formulas for the number of points on reductions of elliptic curves with com...
This thesis presents various aspects of the general theory of arithmetic of elliptic curves and of c...
As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the ar...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
Fix m greater than one and let E be an elliptic curve over Q with complex multiplication. We formula...
Abstract. For any elliptic curve E defined over the rationals with complex multiplication (CM) and 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 p...
This thesis describes a procedure (the `CM method'), based on the theory of complex multiplication, ...
In this project we explore the connections between elliptic curves, modular curves and complex multi...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
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...
Let (Formula presented.) be the Legendre family of elliptic curves. Given (Formula presented.) point...
This thesis examines the relationship between elliptic curves with complex multiplication and Lambda...
AbstractWe give explicit formulas for the number of points on reductions of elliptic curves with com...
This thesis presents various aspects of the general theory of arithmetic of elliptic curves and of c...
As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the ar...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
Fix m greater than one and let E be an elliptic curve over Q with complex multiplication. We formula...
Abstract. For any elliptic curve E defined over the rationals with complex multiplication (CM) and 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 p...
This thesis describes a procedure (the `CM method'), based on the theory of complex multiplication, ...
In this project we explore the connections between elliptic curves, modular curves and complex multi...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
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...
Let (Formula presented.) be the Legendre family of elliptic curves. Given (Formula presented.) point...
This thesis examines the relationship between elliptic curves with complex multiplication and Lambda...
AbstractWe give explicit formulas for the number of points on reductions of elliptic curves with com...
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