Cohen H. A Course in Computational Algebraic Number Theory

Springer. — 563 p.Fundamental Number-Theoretic Algorithms.
Algorithms for Linear Algebra and Lattices.
Algorithms on Polynomials.
Algorithms for Algebraic Number Theory I.
Algorithms for Quadratic Fields.
Algorithms for Algebraic Number Theory II.
Introduction to Elliptic Curves.
Factoring in the Dark Ages.
Modern Primality Tests.
Modern Factoring Methods.
Appendix A Packages for Number Theory.
Appendix B Some Useful Tables.