On the Number of Distinct Elliptic Curves in Some Families

R. R. Farashahi, and I. E. Shparlinski, “On the Number of Distinct Elliptic Curves in  Some Families”, Designs, Codes and Cryptography, vol. 54, No. 1, 2010, pp. 83-99. http://www.springerlink.com/content/3m2l482632906706/fulltext.pdf