Virtually anything .17HMR/.22Mag or bigger. The .25-20 and .32-20 make wonderful predator cartridges out to at least 150yds.
I can NOT recommend anything rimfire, for coyotes. Coyotes are tough customers and can take a lot of punishment/bullets and not die.
I've never hit a coyote with a .17HMR or .22Mag that ran more than 20yds. I do not recommend the 17gr loadings for anything bigger than rodents. The 20gr XTP is a much better penetrator and more consistent killer.