%0 Journal Article %T Exponents of Modular Reductions of Families of Elliptic Curves %A Shparlinski %A Igor E. %J Revista de la Uni£¿3n Matem£¿£¿tica Argentina %D 2009 %I Uni¨®n Matem¨¢tica Argentina %X for some natural families of elliptic curves we show that "on average" the exponent of the point group of their reductions modulo a prime grows as . %K elliptic curves %K group exponent %K farey fractions. %U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322009000100008&lng=en&nrm=iso&tlng=en