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IV. Mordell's Theorem
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Chapters in this book
- Frontmatter i
- CONTENTS vii
- List of Figures x
- List of Tables x
- Preface xi
- Standard Notation xv
- Elliptic Curves 1
- I. Overview 3
- II. Curves in Projective Space 19
- III. Cubic Curves in Weierstrass Form 50
- IV. Mordell's Theorem 80
- V. Torsion Subgroup of E(Q) 130
- VI. Complex Points 151
- VII. Dirichlet's Theorem 189
- VIII. Modular Forms for SL(2,ℤ) 221
- IX. Modular Forms for Hecke Subgroups 256
- X. L Function of an Elliptic Curve 290
- XI. Eichler-Shimura Theory 302
- XII. Taniyama-Weil Conjecture 386
- Notes 401
- References 409
- Index of Notation 419
- Index 423
Chapters in this book
- Frontmatter i
- CONTENTS vii
- List of Figures x
- List of Tables x
- Preface xi
- Standard Notation xv
- Elliptic Curves 1
- I. Overview 3
- II. Curves in Projective Space 19
- III. Cubic Curves in Weierstrass Form 50
- IV. Mordell's Theorem 80
- V. Torsion Subgroup of E(Q) 130
- VI. Complex Points 151
- VII. Dirichlet's Theorem 189
- VIII. Modular Forms for SL(2,ℤ) 221
- IX. Modular Forms for Hecke Subgroups 256
- X. L Function of an Elliptic Curve 290
- XI. Eichler-Shimura Theory 302
- XII. Taniyama-Weil Conjecture 386
- Notes 401
- References 409
- Index of Notation 419
- Index 423