*Magic Money
*Internet Money (my favorite, totally generic yet instantly understandable by 99% of population, shows confidence in taking the crown as the Internet money, implicitly crushing all other past and future pretenders)
*Global Money
*Magic Internet Money
*Global Internet Money
*Smart Internet Money

"Computer" or "Mobile" are excessively restricting adjectives, IMHO...plus "Mobile" will not translate well to other languages where different terminology or shorthand is commonly used to mean "Mobile Phone"...