Hyperelliptic modular curves

Andrew P. Ogg

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Displaying similar documents to “Hyperelliptic modular curves”

Automorphism groups of the modular curves $X_{0} (N)$

M. A. Kenku, Fumiyuki Momose (1988)

Compositio Mathematica

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The universal periods of curves and the Schottky problem

Takashi Ichikawa (1993)

Compositio Mathematica

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

Andreas Schweizer (1998)

Journal de théorie des nombres de Bordeaux

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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.

Equations of hyperelliptic modular curves

Josep Gonzalez Rovira (1991)

Annales de l'institut Fourier

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We compute, in a unified way, the equations of all hyperelliptic modular curves. The main tool is provided by a class of modular functions introduced by Newman in 1957. The method uses the action of the hyperelliptic involution on the cusps.

A remark about isogenies of elliptic curves over quadratic fields

Gerhard Frey (1986)

Compositio Mathematica

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Rational points on the modular curves $X_{split} (p)$

Fumiyuki Momose (1984)

Compositio Mathematica

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A Diophantine problem on algebraic curves over function fields of positive characteristic

J.F. Voloch (1991)

Bulletin de la Société Mathématique de France

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Displaying similar documents to “Hyperelliptic modular curves”

Automorphism groups of the modular curves X 0 ( N )

The universal periods of curves and the Schottky problem

Involutory elliptic curves over 𝔽 q ( T )

Equations of hyperelliptic modular curves

A remark about isogenies of elliptic curves over quadratic fields

Rational points on the modular curves X split ( p )

A Diophantine problem on algebraic curves over function fields of positive characteristic

Automorphism groups of the modular curves $X_{0} (N)$

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

Rational points on the modular curves $X_{split} (p)$