I was wondering whether anyone knows of any good non-technical or even popular expositions of the Birch—Swinnerton-Dyer conjecture, for someone with minimal background in elliptic curves. I was thinking of something along the lines of du Sautoy's excellent book '*The Music of the Primes*' on the Riemann hypothesis, though perhaps catering slightly less to the layman and more geared to a mathematical audience.

(Note when I say minimal background, I just mean a senior undergraduate level 'awareness' of the group law on elliptic curves, working with curves over finite fields, and the Mordell-Weil theorem.)