2 problems

Let $E:y^2=f(x)$ be an elliptic curve over $\mathbb{Q}$. For a squarefree integer $d$, let $E^{(d)}$ be the quadratic twist of $E$ by $d$, and let $n_{E,r}^{\ast}(X)$ count fundame…

Rank distribution conjecture. For $\iota\in\{1,2\}$, one has