---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ModularArithmeticGeometry/SmallModularCurves/bibliography.html"
source: "https://docs.magma-maths.org/ModularArithmeticGeometry/SmallModularCurves/bibliography.md"
part: "Modular Arithmetic Geometry"
chapter: "Small Modular Curves"
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  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modular Arithmetic Geometry", "source": "../index-modular-arithmetic-geometry.md"}
  - {"title": "Small Modular Curves", "source": "index-small-modular-curves.md"}
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---

# Bibliography

<a id="cite-atkin-lehner-70"></a>
- **[AL70]** A.O.L. Atkin and J. Lehner. Hecke operators on $\Gamma_0(N)$. *Math. Annalen*, 185:134–160, 1970.
<a id="cite-fbars08"></a>
- **[Bar08]** F. Bars. The group structure of the normaliser of $\Gamma_0(N)$ after Atkin-Lehner. *Communications in Algebra*, 36:2160–2170, 2008.
<a id="cite-elk90"></a>
- **[Elk90]** N. Elkies. The automorphism group of the modular curve $X_0(63)$. *Compositio Mathematica*, 74:203–208, 1990.
<a id="cite-mike-harr-auts-10"></a>
- **[Harb]** M. C. Harrison. A new automorphism of $X_0(108)$. Preprint: online at arXiv as arXiv:1108.5595v3[math.NT].
<a id="cite-mike-harr-gen56-11"></a>
- **[Har13]** M. C. Harrison. Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus 5 or 6. *J. Symb. Comp.*, 51:3–21, 2013.
<a id="cite-km88"></a>
- **[KM88]** M.A. Kenku and F. Momose. Automorphism groups of the modular curves $X_0(N)$. *Compositio Mathematica*, 65:51–80, 1988.
<a id="cite-li75"></a>
- **[Lig75]** G. Ligozat. Courbes modulaires de genre 1. *Bull. Soc. Math. France (Suppl.), Memoire 43*, 1975.
<a id="cite-ogg74"></a>
- **[Ogg74]** A. Ogg. Hyperelliptic modular curves. *Bull. Soc. Math. France*, 228:449–462, 1974.