Well, if you rearrange the designation (and squint a little bit) 1 A-X B3 becomes B3AX1, which kinda looks like Beast.
So, 'The Beast' might be an option, although its somewhat cliche.
As for a crew moniker...probably we could riff on whatever name we choose for the tank. Then again, 'The Crew' actually works just fine IMO. But I'm only one of six, so... 🙂