Hasse bounds

For \(X \in \mathrm{Ell} _{/{ \mathbf{F} }_q}\) a genus \(g\) curve, \begin{align*} {\left\lvert { X({ \mathbf{F} }_q) - (q+1) } \right\rvert} \leq 2g \sqrt{q} \end{align*}