The second generation Toyota Corolla (E20) is an example of a cheap/fun/rear wheel drive vehicle that used to come from the worlds largest of beige appliances. The TE27 was an internal designation for the SR5 coupe version.
The engine is 3T/2T race engine that has been professionally rebuilt and needs installation. The machine shop build sheets come with the engine, but the engine is only a longblock and you'll need to source your own intake/exhaust/fuel and accessories.
See a better way to go vintage racing with an oddball that could have a cool history? firstname.lastname@example.org