Use POST. specify an "action=login". That's it. If you are using django tastypie and django rest framework have a way to do RPC. However can I suggest you try

Use POST. specify an "action=login". That's it. If you are using django tastypie and django rest framework have a way to do RPC. However can I suggest you try to do it in a REST-like manner? User login and logout is kind of like Session management. You can create, update, delete Session objects.