New algebraic points on covers of elliptic curves

Diana Mocanu, George C. Turcas

For a smooth projective curve $C/\mathbb{Q}$ of genus $\ge 2$ and $L/\mathbb{Q}$ an extension, we write $C(L{)}_{\text{new}}=\{P\in C(L):\mathbb{Q}(P)=L\}$. Recent work of Khawaja a…