Book contents
- Frontmatter
- Contents
- Preface
- 1 Elliptic functions
- 2 Modular functions
- 3 Basic facts from number theory
- 4 Factorisation of singular values
- 5 The Reciprocity Law
- 6 Generation of ring class fields and ray class fields
- 7 Integral basis in ray class fields
- 8 Galois module structure
- 9 Berwick's congruences
- 10 Cryptographically relevant elliptic curves
- 11 The class number formulae of Curt Meyer
- 12 Arithmetic interpretation of class number formulae
- References
- Index of Notation
- Index
1 - Elliptic functions
Published online by Cambridge University Press: 04 August 2010
- Frontmatter
- Contents
- Preface
- 1 Elliptic functions
- 2 Modular functions
- 3 Basic facts from number theory
- 4 Factorisation of singular values
- 5 The Reciprocity Law
- 6 Generation of ring class fields and ray class fields
- 7 Integral basis in ray class fields
- 8 Galois module structure
- 9 Berwick's congruences
- 10 Cryptographically relevant elliptic curves
- 11 The class number formulae of Curt Meyer
- 12 Arithmetic interpretation of class number formulae
- References
- Index of Notation
- Index
Summary
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- Type
- Chapter
- Information
- Complex Multiplication , pp. 1 - 40Publisher: Cambridge University PressPrint publication year: 2010