The rank 0-or-1 conjecture for prime quadratic twists of an elliptic curve

Let $E^d$ denote the quadratic twist of the elliptic curve $E$ by $d$. Consider quadratic twists with $|d|$ prime. Rank 0-or-1 conjecture. $100\%$ of quadratic twists $E^d$ where $|d|$ is a prime have rank $0$ or $1$. This is assumed as a standard conjecture for estimating the asymptotic behaviour of the relevant counting function; the supplied context does not provide a resolution of the conjecture.