Upvote:3
For study, you will need a long-stay (D) visa rather than a short-stay (C) visa. Those are under national responsibility.
The German form asks if you have ever been expelled or deported from Germany, so you can honestly say no on that question. However, the form asks about your current place of residence and residence permit. Telling the truth means your chances go down, telling a lie means you can be deported if the truth ever comes out.