This is quite advanced. At least graduate math level. Yes, I learned most of this when I took graduate mathematics courses. Soon thereafter I decided that I'd

This is quite advanced. At least graduate math level. Yes, I learned most of this when I took graduate mathematics courses. Soon thereafter I decided that I'd be better off studying computer science... This is supposed to be a "elementary introduction to the Birch and Swinnerton-Dyer conjecture". Ha. I don't think the word "elementary" means what you think it means. In number theory, "elementary" means "not involving complex analysis"; it does not mean "straightforward".