I used Trello without any problems on firefox - until I had to migrate the account to atlassian. Now the authentification always reroutes via auth.atlassian.com. Which does not work on Firefox (even with all add-ons switched off).
Please implement a solution ASAP: either adjust to Firefox or leave the authentification on HTML5.
I am not sure about other browsers but I am unhappy to having to use Chrome just for logging in to trello.com (Trello itself works fine on Firefox).