Contents

Chapters in this book

1. Frontmatter i
2. Preface vii
3. Contents xv
4. Chapter 1 Elliptic curves and equations 1
5. Chapter 2 Heights 9
6. Chapter 3 Weierstrass equations over C and R 29
7. Chapter 4 The elliptic logarithm method 54
8. Chapter 5 Linear form for the Weierstrass equation 57
9. Chapter 6 Linear form for the quartic equation 60
10. Chapter 7 Linear form for simultaneous Pell equations 69
11. Chapter 8 Linear form for the general elliptic equation 78
12. Chapter 9 Bound for the coefficients of the linear form 98
13. Chapter 10 Reducing the bound obtained in Chapter 9 121
14. Chapter 11 S-integer solutions of Weierstrass equations 137
15. List of symbols 165
16. Bibliography 173
17. Index 177