Do Boa constrictors belong to the boa genus or the constrictor genus?

There are seven categories of taxonomy. For the boa constrictor these are Kingdom: Animalia, Phylum: Chordata, Subphylum: Vertebrata, Class: Reptilia, Order: Squamata, Suborder: Serpentes, Family: Boidae, Subfamily: Boinae, Genus Boa. Their species is B. constrictor.