[1] 'Elliptic Curves in Cryptography' by Blake, Seroussi, Smart.
London Mathematical Society Lecture Note Series #265.
ISBN 0-521-65374-6.
[2] 'Guide to Elliptic Curve Cryptography' by Hankerson, Menezes, Vanstone.
Springer-Verlag ISBN 0-387-95273-X.
[3] 'Prime Numbers A Computational Perspective' by Crandall, Pomerance.
Springer-Verlag ISBN 0-387-94777-9.
[4] 'Software Implementation of the NIST Elliptic Curves over Prime
Fields'
by M.Brown, D.Hankerson, J.Lopez and A.Menezes [LNCS 2020]
[5] 'Elliptic Curves and Primality Proving.'
by A.O.L. Atkin and F. Morain [Mathematics of Computation, Vol. 61,
No 203, July 1993]
[6] 'Elliptic Curve Public Key Cryptosystems.' by A.J. Menezes
Kluwer Academic Publishers ISBN 0-7923-9368-6.
Speed/Tuning References :-
[7] 'The Software Optimization
Cookbook' by Gerber, Bik, Smith & Tian.
Intel Press, ISBN 0-9764832-1-1.
[A later version of this book has appeared, but I do not have it.]
[8] 'Software Optimization Guide
for AMD64 Processors'
AMD publication 25112, Revision 3.06, Sept 2005. (Downloadable)
[Similar documents for all AMD & Intel processors are available
free - check their websites.]
General Number Theory References :-
[9] 'Algorithmic Number Theory - Vol 1' by Bach and Shallit.
MIT Press, ISBN 0-262-02405-5.
[10] 'A Course in Computational Algebraic
Number Theory' by Cohen
Springer; Graduate Texts in Mathematics, GTM 138
ISBN 3-540-55640-0
[11] 'The Art of Computer Programming,
Vol 2, Seminumerical Algorithms'
Donald Knuth, Addison Wesley, ISBN 0-201-89684-2
[12] 'A Course in Number Theory and Cryptography' 2nd Edition
Neal Koblitz, Springer, Graduate Texts in Mathematics GTM 114 ISBN 0-201-89684-2
[13] 'The Design and Analysis of Computer Algorithm's'
A. Aho, J. Hopcroft, and J. Ullman.
Addison Wesley (1974)
[14] "Groups, Rings and Fields" by D.A.R.Wallace
Springer Undergraduate Mathematics Series. ISBN 3-540-76177-2
[15] "Prime Numbers - a Computational Perspective" by
Crandall and Pomerance
Springer Verlag. ISBN 0-387-94777-9
[16] "Handbook of Applied Cryptography" by A.J. Menezes, P.C. van Oorschot, S.A. Vanstone;
CRC Press, ISBN 0-8493-8523-7