In this work we defined the J-invariant of an elliptic curve over the artinian principal ideal ring Rn of characteristic 3, [1, 2, 3, 4]. More precisely, we establish pi(J) = j, where j is the j-invariant of an elliptic curve over Fq, q = 3d and pi is the canonical projection defined over ring Rn by Fq
In this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performe...
In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' wh...
A universal family of elliptic curves of rank 4 with 3-division rational points is constructed. The ...
dou ELOMARY. This is an open access article distributed under the Creative Commons Attribution Licen...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
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...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
Abstract In this work we study the elliptic curve over the artinian principal ideal ring = [], (...
Celem pracy jest przedstawienie dowodu twierdzenia o całkowitości j-niezmiennika krzywej eliptycznej...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
Let k be a field with char k 6 = 2, 3, 5. Let C be a smooth curve of genus one defined over k. Suppo...
AbstractWe show that for all odd primes p, there exist ordinary elliptic curves over F¯p(x) with arb...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
International audienceIn the article we propose a new compression method (to 2⌈log2(q)⌉+3 bits) for...
In this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performe...
In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' wh...
A universal family of elliptic curves of rank 4 with 3-division rational points is constructed. The ...
dou ELOMARY. This is an open access article distributed under the Creative Commons Attribution Licen...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
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...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
Abstract In this work we study the elliptic curve over the artinian principal ideal ring = [], (...
Celem pracy jest przedstawienie dowodu twierdzenia o całkowitości j-niezmiennika krzywej eliptycznej...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
Let k be a field with char k 6 = 2, 3, 5. Let C be a smooth curve of genus one defined over k. Suppo...
AbstractWe show that for all odd primes p, there exist ordinary elliptic curves over F¯p(x) with arb...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
International audienceIn the article we propose a new compression method (to 2⌈log2(q)⌉+3 bits) for...
In this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performe...
In this paper we shall consider the product. E×E' of two mutually isogenous elliptic curves E, E' wh...
A universal family of elliptic curves of rank 4 with 3-division rational points is constructed. The ...