Let's see., examples. I put Positive primes represented by indefinite binary quadratic formPositive primes represented by indefinite binary quadratic form with this in mind. Cohen says that $\mathbb Q(\sqrt {205})$ has class number 2. There are four classes of indefinite binary forms of discriminant 205, and $u^2 - 205 y^2 = -4$ is impossible. So, we went from 4 to 2...