AbstractIn this paper we analyze the j-invariant of the canonical lifting of an elliptic curve as a Witt vector. We show that its coordinates are rational functions on the j-invariant of the elliptic curve in characteristic p. In particular, we prove that the second coordinate is always regular at j=0 and j=1728, even when those correspond to supersingular values. A proof is given which yields a new proof for some results of Kaneko and Zagier about the modular polynomial
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
The goal of this article is to give a simple arithmetic application of the enhanced homotopy (Lie) t...
AbstractUsing the theory of elliptic curves, we show that the class number h(−p) of the field Q(−p) ...
AbstractIn this paper we analyze the j-invariant of the canonical lifting of an elliptic curve as a ...
We study the canonical lifting of ordinary elliptic curves over the ring of Witt vectors. We prove t...
Let be a prime number. We generalize the results of E. de Shalit [4] about supersingular j-invarian...
We show that the canonical lift construction for ordinary elliptic curves over perfect fields of cha...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
Let $p$ be a prime; using modular polynomial $\Phi_p$, T.~Satoh and al\cite{satoh2000canonical,harle...
In this work we defined the J-invariant of an elliptic curve over the artinian principal ideal ring ...
Celem pracy jest przedstawienie dowodu twierdzenia o całkowitości j-niezmiennika krzywej eliptycznej...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
An elliptic curve E over a field K of characteristic pgt;0 is called supersingular if the group E(\o...
In this paper we study liftings of affine varieties from finite fields to number fields, such that t...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
The goal of this article is to give a simple arithmetic application of the enhanced homotopy (Lie) t...
AbstractUsing the theory of elliptic curves, we show that the class number h(−p) of the field Q(−p) ...
AbstractIn this paper we analyze the j-invariant of the canonical lifting of an elliptic curve as a ...
We study the canonical lifting of ordinary elliptic curves over the ring of Witt vectors. We prove t...
Let be a prime number. We generalize the results of E. de Shalit [4] about supersingular j-invarian...
We show that the canonical lift construction for ordinary elliptic curves over perfect fields of cha...
Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over F...
Let $p$ be a prime; using modular polynomial $\Phi_p$, T.~Satoh and al\cite{satoh2000canonical,harle...
In this work we defined the J-invariant of an elliptic curve over the artinian principal ideal ring ...
Celem pracy jest przedstawienie dowodu twierdzenia o całkowitości j-niezmiennika krzywej eliptycznej...
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?...
An elliptic curve E over a field K of characteristic pgt;0 is called supersingular if the group E(\o...
In this paper we study liftings of affine varieties from finite fields to number fields, such that t...
Abstract. We calculate explicitly the j-invariants of the elliptic curves corresponding to rational ...
We present various published and unpublished results on elliptic curves. In particular, we focus on ...
The goal of this article is to give a simple arithmetic application of the enhanced homotopy (Lie) t...
AbstractUsing the theory of elliptic curves, we show that the class number h(−p) of the field Q(−p) ...
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