With Pokémon Box, you get given eggs when you start, and what is contained in the egg depends on the damount of Pokemon you have inputted into the box. So here is a list of the Pokémon to help you:

Picture	Name	Special Attack
	Swablu	False Swipe	Obtained at start
	Zigzagoon	Extremespeed	100 Pokemon from one game stored on Box
	Skitty	Pay Day	500 Pokemon from one game stored on Box
	Pichu	Surf	1499 Pokemon from one game stored on Box

One Trainer ID means from one game, traded is alright. Pichu is not 100% confirmed