I have an audi 2006 a3, won't turn over

I have checked all the fuses, got a new battery, no codes come up on the scanner, it is not a push button start, when I turn the key it does nothing, any suggestions? The brake lights do not come on, it did start three times each time it would run for 5 minutes and die and would not start again until the next day. Now I can't get it to do anything. When it did start it idled and ran great no rough idling or anything. I did disconnect the battery over night the few times it did start, but I've tried that again and it won't work now.