On the division polynomials of elliptic curves.

J. González

Displaying similar documents to “On the division polynomials of elliptic curves.”

Elliptic curves with bounded ranks in function field towers

Lisa Berger (2012)

Acta Arithmetica

Similarity:

From the elliptic regulator to exotic relations.

Touafek, Nouressadat (2008)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Similarity:

Involutory elliptic curves over $𝔽_{q} (T)$

Andreas Schweizer (1998)

Journal de théorie des nombres de Bordeaux

Similarity:

For $n \in 𝔽_{q} [T]$ let $G$ be a subgroup of the Atkin-Lehner involutions of the Drinfeld modular curve $X_{0} (𝔫)$ . We determine all $𝔫$ and $G$ for which the quotient curve $G ∖ X_{0} (𝔫)$ is rational or elliptic.

A Lax formalism for the elliptic difference Painlevé equation.

Yamada, Yasuhiko (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

Genus one curves defined by separated variable polynomials and a polynomial Pell equation

R. M. Avanzi, U. M. Zannier (2001)

Acta Arithmetica

Similarity:

On the group orders of elliptic curves over finite fields

Everett W. Howe (1993)

Compositio Mathematica

Similarity:

On square values of quadratics

Andrew Bremner (2003)

Acta Arithmetica

Similarity:

Counting elliptic curves of bounded Faltings height

Ruthi Hortsch (2016)

Acta Arithmetica

Similarity:

We give an asymptotic formula for the number of elliptic curves over ℚ with bounded Faltings height. Silverman (1986) showed that the Faltings height for elliptic curves over number fields can be expressed in terms of modular functions and the minimal discriminant of the elliptic curve. We use this to recast the problem as one of counting lattice points in a particular region in ℝ².

The uniform primality conjecture for elliptic curves

Graham Everest, Patrick Ingram, Valéry Mahé, Shaun Stevens (2008)

Acta Arithmetica

Similarity:

Explicit $p$ -descent for elliptic curves in characteristic $p$

J. F. Voloch (1990)

Compositio Mathematica

Similarity:

On the number of large integer points on elliptic curves

P. G. Walsh (2009)

Acta Arithmetica

Similarity:

Bounds for the order of the Tate-Shafarevich group

Dorian Goldfeld, Lucien Szpiro (1995)

Compositio Mathematica

Similarity:

Some families of non-congruent numbers

Franz Lemmermeyer (2003)

Acta Arithmetica

Similarity:

Distribution of Mordell-Weil ranks of families of elliptic curves

Bartosz Naskręcki (2016)

Banach Center Publications

Similarity:

We discuss the distribution of Mordell-Weil ranks of the family of elliptic curves y² = (x + αf²)(x + βbg²)(x + γh²) where f,g,h are coprime polynomials that parametrize the projective smooth conic a² + b² = c² and α,β,γ are elements from ℚ̅. In our previous papers we discussed certain special cases of this problem and in this article we complete the picture by proving the general results.