Do not call it core. There's an existing app or module or something with that name and this will introduce hard-to-diagnose bugs. Common is preferable.
i've been getting away with calling the folder with models/views 'app' and the folder with asgi/wsgi/settings 'config' (top-folder name is the project name)
so far nothing bit me other than an awkward 'app' in my installed_apps, fingers crossed