There's a song on piano....?

It's a classic, but I can't remember the name of it. The first few notes are this:

E D# E D# E B D C A

And I can't remember after that.
Anybody know the name?

Fur Elise - Beethoven

Fur Elise, by Beethoven.

Songs have words. This one doesn't, so it should be called a 'piece'.

There are no songs on piano. Songs require voices.

F眉r Elise by Beethoven