Davena
You should only need to complete one of the forms but you need to get the other one withdrawn, you cannot ignore it and not fill it out as this will almost certainly result in the claim being closed.
So as you already have the UC50 I would contact the DWP office dealing with your New Style ESA claim to have the ESA50 withdrawn.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems