it has to be a felony. if you have no felonys, you have no problem.
in fact, you might even be able to cross the border with a felony, as long as you dont have weapons. one time we had to drive the long way to maine from NY because we had too many guns and too many convicted felons in our car to shortcut through canada, but that was years ago and i know things have become stricter. i remember it was mostly the combination of guns and felonys that the mountees or maple syrup gods or whatever were displeased with, and not one or the other.