Add to ORKGCelem pracy jest przedstawienie dowodu twierdzenia o całkowitości j-niezmiennika krzywej eliptycznej z mnożeniem zespolonym.Podany dowód wymagał przedstawienia wiadomości wstępnych obejmujących podstawowe informacje na temat ciał kwadratowych urojonych, krzywych eliptycznych z mnożeniem zespolonym oraz podstawowych informacji na temat funkcji modularnych.The aim of this paper is to present proof that j-invariant of an elliptic curve with complex multiplication is an algebraic integer.Presented proof required introducing preliminary information including basic facts about imaginary quadratic field, elliptic curves with complex multiplication and basic information about modular forms
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
This thesis describes a procedure (the `CM method'), based on the theory of complex multiplication, ...
As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the ar...
This thesis presents various aspects of the general theory of arithmetic of elliptic curves and of c...
The absolute invariant J(z), of the modular group M arises in the theory of elliptic functions, (Whe...
In the thesis at hand we discuss two problems of integral points in the moduli space of elliptic cur...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
We give a method for expressing the modular j-invariant function J in a rational function of generat...
AbstractWe give an analytic proof of the integrality of the j-invariant when the corresponding Drinf...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
AbstractIn this paper we analyze the j-invariant of the canonical lifting of an elliptic curve as a ...
International audienceThere is a modular curve X'(6) of level 6 defined over Q whose Q-rational poin...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
This thesis describes a procedure (the `CM method'), based on the theory of complex multiplication, ...
As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the ar...
This thesis presents various aspects of the general theory of arithmetic of elliptic curves and of c...
The absolute invariant J(z), of the modular group M arises in the theory of elliptic functions, (Whe...
In the thesis at hand we discuss two problems of integral points in the moduli space of elliptic cur...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
We give a method for expressing the modular j-invariant function J in a rational function of generat...
AbstractWe give an analytic proof of the integrality of the j-invariant when the corresponding Drinf...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
AbstractIn this paper we analyze the j-invariant of the canonical lifting of an elliptic curve as a ...
International audienceThere is a modular curve X'(6) of level 6 defined over Q whose Q-rational poin...
<正> Many results on the arithmetic theory of elliptic curves have been obtained for elliptic c...
This thesis describes a procedure (the `CM method'), based on the theory of complex multiplication, ...
As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the ar...