Riddle 4

How else can I be drawn? What is my crossing number? That is, what is the minimum number of crossings between my edges with which I can be drawn in a plane? (As represented by, say, the piece of paper on which you try to solve this riddle!)

How else can I be edge-coloured? This is to be such that no two edges emanating from the same vertex have the same colour! What is my edge chromatic number? That is, what is the minimum number of colours with which I can be edge-coloured?