---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ModularArithmeticGeometry/ModularAbelianVarieties/bibliography.html"
source: "https://docs.magma-maths.org/ModularArithmeticGeometry/ModularAbelianVarieties/bibliography.md"
part: "Modular Arithmetic Geometry"
chapter: "Modular Abelian Varieties"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Modular Arithmetic Geometry", "source": "../index-modular-arithmetic-geometry.md"}
  - {"title": "Modular Abelian Varieties", "source": "index-modular-abelian-varieties.md"}
prev: {"title": "Elliptic Curves", "source": "ellcrv.md"}
next: {"title": "Hilbert Modular Forms", "source": "../HilbertModularForms/index-hilbert-modular-forms.md"}
---

# Bibliography

<a id="cite-agashe-stein-manin"></a>
- **[AS04]** A. Agashe and W. A. Stein. The Manin Constant, Congruence Primes, and the Modular Degree. Preprint, http://modular.fas.harvard.edu/papers/manin-agashe/, 2004.
<a id="cite-agashe-stein-bsd"></a>
- **[AS05]** Amod Agashe and William Stein. Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. *Math. Comp.*, 74(249):455–484 (electronic), 2005. With an appendix by J. Cremona and B. Mazur.
<a id="cite-conrad-stein-compgroup"></a>
- **[CS01a]** Brian Conrad and William A. Stein. Component groups of purely toric quotients. *Math. Res. Lett.*, 8(5-6):745–766, 2001.
<a id="cite-mr2003j-11046"></a>
- **[Kil02]** L. J. P. Kilford. Some non-Gorenstein Hecke algebras attached to spaces of modular forms. *J. Number Theory*, 97(1):157–164, 2002.
<a id="cite-kohel-stein-ants4"></a>
- **[KS00a]** David R. Kohel and William A. Stein. Component Groups of Quotients of $J_0(N)$. In *Proceedings of the 4th International Symposium (ANTS-IV), Leiden, Netherlands, July 2–7, 2000*. Berlin, 2000. Springer.
<a id="cite-lenstra-oort-additive"></a>
- **[LO85]** H. W. Lenstra, Jr. and F. Oort. Abelian varieties having purely additive reduction. *J. Pure Appl. Algebra*, 36(3):281–298, 1985.
<a id="cite-quer-building-blocks"></a>
- **[Que09]** Jordi Quer. Fields of definition of building blocks. *Math. Comp.*, 78(265):537–554, 2009.