Right. The battery is fake. Amazon endorses knock-offs, and they do not vet their products. We are to think twice before buying from Amazon.
While we try to digest all these disturbing revelations, it is hoped you have contacted the seller, who is neither Sony nor Amazon, to obtain a refund and a rectification.
For $29.99, I bought two perfectly functioning batteries, a wall/car/euro charger, and some assorted bonus items, which I recommend fully:
Pack Of 2 NP-FH50 Batteries + Battery Charger For Sony Alpha DSLR A230 DSLR A290 DSLR A330 DSLR A380 DSLR A390 Digital SLR Camera + More!!