# Tagged Questions

**6**

votes

**2**answers

334 views

### How did height in algeb. number theory/elliptic curves started?

Maybe this is obvious but it isn't to me yet. What is the history of heights used in say points of the project plane over a number field or of elliptic curve over a number field? I would guess people ...

**11**

votes

**2**answers

976 views

### The parity conjecture

The parity conjecture for elliptic curves predicts that the rank of an elliptic curve
defined over the rationals has the same parity as the p-Selmer rank for a prime number p. Could anyone familiar ...

**9**

votes

**1**answer

522 views

### Historical question about modularity of CM curves

I'm looking for the answer of who first proved modularity of CM curves? That is if $E$ is an elliptic curve over $\mathbb{Q}$ which has complex multiplication then there's a non-constant morphism ...

**14**

votes

**6**answers

2k views

### A non-technical account of the Birchâ€”Swinnerton-Dyer Conjecture

I was wondering whether anyone knows of any good non-technical or even popular expositions of the Birchâ€”Swinnerton-Dyer conjecture, for someone with minimal background in elliptic curves. I was ...