A moduli approach to quadratic $\mathbb{Q}$-curves realizing projective mod $p$ Galois representations
A moduli approach to quadratic $\mathbb{Q}$-curves realizing projective mod $p$ Galois representations
For a fixed odd prime p and a representation \varrho of the absolute Galois group of \mathbb{Q} into the projective group {\rm PGL}_2(\mathbb{F}_p) , we provide the twisted modular curves whose rational points supply the quadratic \mathbb{Q} -curves of degree N prime to p that realize \varrho through the Galois …