its all been covered before, find the old thread. theres about 5 pages of discussion on it.
IIRC its impossible to tell as the diameter of the hole in the middle comes in all sorts of sizes. i had an ae92 with aftermarket lsd and and ae101 non lsd and the only difference between the 2 was the size of the hole in the middle by about 5mm.
ae101 you'll see the hex bar if its a factory LSD and it will be blatantly obvious.
any other factory lsd's do funny things sometimes so don't rely on any test other than a good skid or opening up the gearbox.
its not very likely it has an aftermarket lsd , but if it did , when on the car you'd be able to jack up one wheel and it will lock after a certain amount of rotation. my old lsd when it wasnt stuffed would only turn about an inch and it would lock both wheels together.
and yes agree totally with comment to differentiate c series and e series. your back will tell you when go to pick it up

E series = heavy as