I got my 3DS stolen 2 days ago, I rapidly changed my password so I would not risk my pokemon to be stolen from the bank. (I've been collecting them with my little brother since the first pokemon came out in 1999).
I tried to check the Pokemon Bank website and found this:
If the Nintendo 3DS system that I downloaded and purchased Pokémon Bank for is lost, can I continue to use my previous Pokémon Bank from that lost Nintendo 3DS system on a different system in the Nintendo 3DS family?
Any inquiries regarding your system in the Nintendo 3DS family are handled by Nintendo. Please contact them using the following contact information.
I tried sending a message, but got no responses since then.
Do anyone know if buying a new 3DS and using the same account will be enough to get back my pokemons or are they lost until, maybe, Nintendo answers me?
I'm really awfully pained by the idea of losing all that.