Schweizer: Involutory elliptic curves over $\mathbb{F}

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Andreas Schweizer
Involutory elliptic curves over $\mathbb{F}_q(T)$
Journal de théorie des nombres de Bordeaux, 10 no. 1 (1998), p. 107-123, doi: 10.5802/jtnb.221
Article PDF | Reviews MR 1827288 | Zbl 0930.11040

Résumé - Abstract

For $n \in \mathbb{F}_q [T]$ let $G$ be a subgroup of the Atkin-Lehner involutions of the Drinfeld modular curve $X_0 (\mathfrak{n})$. We determine all $\mathfrak{n}$ and $G$ for which the quotient curve $G \setminus X_0 (\mathfrak{n})$ is rational or elliptic.

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