The Computational and Theoretical Aspects of Elliptic Curves

Introduction to the Conjectures of Birch and Swinnerton-Dyer.- Kolyvagin's Work on Modular Elliptic Curves.- p-Adic Analogues of The BSD Conjecture and the L-invariant.- Quadratic Twists of Elliptic Curves.- Computing Fourier Coefficients of Level One Modular Forms.- Hecke Algebras, New Vectors and New Spaces.- A Note on a Formula of Special Values of Dirichlet L-Functions.- On Orders of Tame Kernels In Quaternion Extension of Number Fields