hello Johanna - welcome to the GMB
I've had a look in the 'Fire & Sea' book, and although I'm not remotely clever on Scandi glass, have a feeling yours isn't a 'Bamboo' vase.
The Aseda product has a very substantial clear base, and should have a hot finished rim.
Although there is a failry tall example from the Swedish factory, but it seems to have only two hoops instead of your three, and the rim appears less flared than your example. In fact would appear that all the different sized 'Bamboo's' have two hoops, no matter what height they are.