Pool light fitment?

I am interested in the PureLine LED Pool Bulb Color Changing 12v 35w w/remote.  I currently have a Hayward SP-581-S 12v 300w.  I have already installed the low voltage transformer to accomodate the new bulb.  Question: Will the LED bulb replace my current bulb by simply screwing into the socket, or will I need to buy the LED bulb with cord?  Forgive me if this is a dumb question - I just purchased this house and am a first time pool owner.

Thanks in advance