And every brand of ring has a different height. A medium in one is not necessarily a medium in another. Same with bases. But with Weaver bases, I'd say a high in Burris Signature Zee. I think Midway used to have a calculator somewhere on their web site.
I just put a 40 mm. on a rifle using Warne medium rings, and there's about a match-heads space between the rifle and scope, if that. I'd bet you're gonna need High rings with that scope.
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