What contour??

1.125" is the shank size and is typical. The weight will depend on the taper and length of the barrel. A typical varmint barrel will crown around .800". You can go on line and look at some of the barrel maker options which will give you dimensions and weight. If you go on Lilja Barrels site, it will give you some factory options as well as custom Lilja options. You can use this to make a weight comparison to your rifle. I personally prefer a minimum of a 5 contour for long range shooting and heavier if the barrel is longer than 26". It just depends on how much you want to pack around? Fluting will reduce the weight somewhat; maybe 1/2 to 3/4 lb. depending on length and manufacturer. I strongly suggest that you look at a few manufacturers such as Lilja, Krieger, Hart, Bartlein, and several others and get some ideas. When you get more familiar with what they have, give them a call. They are usually very helpful in pointing you in the right direction....Rich