Ah interesting - did you have a look at the case back? Mine has the registration of the helicopter engraved, so it is pretty fun to go and do some research (unless it is the model in the pictures above, of course)
I have actually just purchased one, and the owner history is very interesting. But you could only buy the watch if you actually ordered a Eurocopter, so this explains the very few models in circulation (and also in the secondary market)!