Basic [Corinth Prime] build with riven. No primed mods because I don't want to spend 80 plat for mods right now. [Toxic Barrage] is a flex slot that you can put a faction mod or [Primed Chilling Grasp] in for. [Vigilante Armaments] is also a decent substitute. I would recommend having at least one reload speed mod on this because [Corinth Prime]'s reload speed is very annoying. [Galvanized Acceleration] is absolutely not needed and I still don't know why people throw it in to builds. There is not really a need for any exilus mods, but if you are very adamant about putting one in there you could maybe put [Galvanized Acceleration]. [Lock And Load] isn't a bad option either if you are using another weapon along side the [Corinth]. If you are using the Air Burst I would recommend using [Hunter Munitions] for that meta slave, but as talked about previously if you are using the shotgun mode, you can throw on really anything. Other stats that would be good for the riven would be fire rate, or crit damage. Having the extra element is nice, but I think that crit damage would be an upgrade and fire rate would be a sidegrade. Flat damage would also be good. Reload speed on the riven could free up [Chilling Reload] for some more damage, but overall it doesn't really matter.

I would highly appreciate criticism in the comments and I will do my best to respond.