Trigonal modular curves \(X_0^{+d}(N)\) (Q1976863)
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scientific article; zbMATH DE number 1443393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trigonal modular curves \(X_0^{+d}(N)\) |
scientific article; zbMATH DE number 1443393 |
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Trigonal modular curves \(X_0^{+d}(N)\) (English)
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24 June 2001
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The curve \(X_0^{+d}(N)\) is the quotient of the modular curve \(X_0(N)\) by the (not necessarily full) Atkin-Lehner involution \(W_d\) for \(d \parallel N\). The authors determine which of these curves is trigonal, i.e., admits a morphism of degree 3 to the projective line. The arguments are similar to those applied for \(d=1\) by the authors in [Acta Arith. 88, No. 2, 129-140 (1999; Zbl 0947.11018)].
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modular curve
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Atkin-Lehner involution
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gonality
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