New Proof Shows Infinite Curves Come in Two Types
The headline seems inaccurate to me.<p>The proof in the article states that there is a 100% chance of a random elliptic curve being either rank 0 (50% chance) or rank 1 (50% chance).<p>However, the article also informs us that there are an infinite number of elliptic curves with rank 2 or more. For example, the elliptic curve `y2+y=x3+x2−2x` is of rank 2.<p>So is it truly accurate to say that elliptic curves come only in two types?