It's called a silver fish battery. It's 36v even though it says 37v. Any 36v silver fish battery will work and fit, except that there's a thinner version that's nearly square in cross section instead of rectangular. You can visually see the difference. If you can, check the dimensions given in the listing. The length isn't important unless you put the seat down for a short rider, in which case you can get a shorter one. It's not unusual to see slight differences when they tell you the cross-section dimensions, but they're all made from the same aluminium extrusion, so all the same.
They normally come with a charger, so you don't need to worry about the connector, otherwise look at the pictures. I can't say I've ever seen one that didn't have an XLR type charge socket.
You can get different numbers of amp-hours. yours is probably 8ah or 10ah, but you can get whatever you want. The more ah you get, the further you go and the heavier the battery. A 20ah one might be longer than what you have.
They nearly all come with the aluminium locking strip and the black receiving plate. Always check the pictures in the listing to make sure that you get those.
If you get a different length one you might have to swap over the locking strips and maybe drill a hole in it to line up with the screw on your bike.
There are a few different receiving plates. If the battery doesn't match your present one, you can swap those over too If you're lucky, just a couple of screws but sometimes you have to file or drill them to make them fit.
VERY IMPORTANT: Whichever battery you get, you must check that the positive and negative terminals are the same way round. For that, you need a voltmeter (cost about £5).
All that might sound a bit complicated, but if you get one about the same length, it'll probably be plug-and-play, but I have to mention those other things because you can never be sure.
Find great deals on eBay for 36V Silver Fish Battery. Shop with confidence.
www.ebay.co.uk