grammaticality - If I were to say I was a former student of somebody, would I add an apostrophe s after their name?

If I were to say that I was a former student of a particular person (for this purpose let's pretend his/her name is Eve), would I add an apostrophe s to the name because I would be referring to them as being one of their students? In other words, would I say:

1. "I'm a former student of Eve."


2. "I'm a former student of Eve's."