If your basement has no conventional drain to a public sewer, you are probably on a septic system. Most modern septic systems include an ejector pit in the basement that pumps to the holding tank or drain field. You can use the ejector pit for liquid waste only. Don’t hook up a toilet and drop a deuce in there or you’ll just have to clean it up.
If you have no basement drain, then you’ll have to devise a way to capture & hold liquid waste and pump it out to a public drain or septic system.
If that’s the case, I recommend calling a plumber to have the work done to code. I don’t recommend this type of water related project be done by a novice.