---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/ArithmeticGeometry/EllipticCurves/bibliography.html"
source: "https://docs.magma-maths.org/ArithmeticGeometry/EllipticCurves/bibliography.md"
part: "Arithmetic Geometry"
chapter: "Elliptic Curves"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Arithmetic Geometry", "source": "../index-arithmetic-geometry.md"}
  - {"title": "Elliptic Curves", "source": "index-elliptic-curves.md"}
prev: {"title": "Operations on Points", "source": "point.md"}
next: {"title": "Elliptic Curves over Finite Fields", "source": "../EllipticCurvesOverFiniteFields/index-elliptic-curves-over-finite-fields.md"}
---

# Bibliography

<a id="cite-bruin-phdthesis"></a>
- **[Bru02]** N. R. Bruin. *Chabauty methods and covering techniques applied to generalized Fermat equations*. Volume 133 of CWI Tract. Stichting Mathematisch Centrum Centrum voor Wiskunde en Informatica, Amsterdam, 2002. ISBN 90-6196-508-X. Dissertation, University of Leiden, Leiden, 1999.
<a id="cite-cassels91"></a>
- **[Cas91]** J. W. S. Cassels. *Lectures on elliptic curves*. Volume 24 of London Mathematical Society Student Texts. Cambridge University Press, Cambridge, 1991. ISBN 0-521-41517-9; 0-521-42530-1.
<a id="cite-connell-ech"></a>
- **[Con99]** I. Connell. *Elliptic Curve Handbook*. McGill University, 1999.
<a id="cite-cremona-algs"></a>
- **[Cre97]** J. E. Cremona. *Algorithms for modular elliptic curves*. Cambridge University Press, Cambridge, second edition, 1997. ISBN 0-521-59820-6.
<a id="cite-nag28"></a>
- **[Nag28]** Trygve Nagell. Sur les propriétés arithmétiques des cubiques planes du premier genre. *Acta Math.*, 52:93–126, 1928.
<a id="cite-silverman-arith"></a>
- **[Sil86]** J. Silverman. *The arithmetic of elliptic curves*. Volume 106 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1986.