Mixing Tornado and Twisted requires special attention. Try this, as the first lines executed in your entire program:
import tornado.platform.twisted
tornado.platform.twisted.install()
Then, to start your server:
tornado.ioloop.IOLoop.current().start()
What's happening now is, you start the Tornado IOLoop but you never start the Twisted Reactor. Your Twisted SQLite connection begins an IO operation when you run your query, but since the Reactor isn't running, the operation never completes. In order for the IOLoop and the Reactor to share your process you must run one of them on top of the other. Tornado provides a compatibility layer that allows you to do that.