Do I have access to the API as a team (non-enterprise) account?

When I make an API request, using either python or the curl recipe, I get the following response:

{"tpe":"fail.permission.generic","errors":[{"description":"Permission fail","key":"fail.permission.generic","extras":null}],"extras":null}%

This does not seem to be an authentication error (I get a different error if I use the wrong API key), but rather a permission problem.

Is this lack of permissions because I am a team user rather than enterprise user?