---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ModularArithmeticGeometry/ModularCurves/bibliography.html"
source: "https://docs.magma-maths.org/ModularArithmeticGeometry/ModularCurves/bibliography.md"
part: "Modular Arithmetic Geometry"
chapter: "Modular Curves"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modular Arithmetic Geometry", "source": "../index-modular-arithmetic-geometry.md"}
  - {"title": "Modular Curves", "source": "index-modular-curves.md"}
prev: {"title": "Modular Curves of Given Level and Genus", "source": "jim_mod_crvs.md"}
next: {"title": "Small Modular Curves", "source": "../SmallModularCurves/index-small-modular-curves.md"}
---

# Bibliography

<a id="cite-bgjgp05"></a>
- **[BGJGP05]** M. Baker, E. Gonzalez-Jimenez, J. Gonzalez, and B. Poonen. Finiteness results for modular curves of genus at least 2. *Amer. J. Math.*, 127:1325–1387, 2005.
<a id="cite-elk98"></a>
- **[Elk98a]** N. Elkies. Elliptic and modular curves over finite fields and related computational issues. In *Computational Perspectives on Number Theory A conference in honor of A.O.L. Atkin*. 1998.
<a id="cite-gjg03"></a>
- **[GJG03]** E. Gonzalez-Jimenez and J. Gonzalez. Modular curves of genus 2. *Math. Comp.*, 72:397–418, 2003.
<a id="cite-gjo10"></a>
- **[GJO10]** E. Gonzalez-Jimenez and Roger Oyono. Non-hyperelliptic modular curves of genus 3. *J. Number Th.*, 130:862–878, 2010.
<a id="cite-jeon"></a>
- **[JK07]** D. Jeon and C. H. Kim. On the arithmetic of certain modular curves. *Acta Arith.*, 130:181–193, 2007.
<a id="cite-mor95"></a>
- **[Mor95]** F. Morain. Calcul du nombre de points sur une courbe elliptique dans un corps fini: aspects algorithmiques. *J. Théorie des Nombres de Bordeaux*, 7:255–282, 1995.
<a id="cite-schertz"></a>
- **[Sch76]** R. Schertz. Die singularen Werte der Weberschen Funktionen f,${\bf f}_1$,${\bf f}_2$,$\gamma_2$,$\gamma_3$. *J. reine angew. Math.*, 286/287:46–74, 1976.
<a id="cite-yui-zagier"></a>
- **[YZ97]** N. Yui and D. Zagier. On the singular values of Weber modular functions. *Mathematics of Computation*, 66(220):1645–1662, 1997.