LATAM currently uses Fare Brands in order to do their price segmentation. The Deep Discount fares or the Basic brand (under the QP code on the fare basis) can belong to multiple classes and even some pretty higher ones like K or N
In other words, it depends on the exact fare you are booking since there is not direct correlation. If you are buying through LATAM.com I don't think you can get a look at the booking class any longer