How do you remove and replace a suzuki sv650 battery?

first remove the 2 plastic pieces on both sides with the right size Allen wrench. (3mm?) pop those off, then take off the 2 allens (5mm?) that hold down the seat, and pull it off.

you can now see the battery.

Get a screwdriver and undo the bolts that hold the wires to the battery, pull up the battery and reverse the process!