Some book recommendations on projective geometry

Question

I want to learn projective geometry for a few months now, especially to understand elliptic curves. I am not completely new to the field, but I need to clear up some concepts, so I could use an introductory book.
I am also interested in the topic of finite projective planes and projective planes over rings. Is there any not-much-involved book on these accounts?
Thanks a lot for your tips.

Answer 1

I also had some interest in projective geometry, so I read the book "Rational points on elliptical curves" by Silverman. The book is easy but interesting, indeed that's the only book I have read :P

Answer 2

I suggest Peter Dembowski's Finite Geometries.