On reducible $\ell$-torsion representations of Picard curves

Xiyao Chen, Shiva Chidambaram, Andrew Coursin +2

Let $C/\mathbb{Q}$ be a Picard curve and let $\ell \equiv 1(\mathrm{mod}3)$ be a prime such that the $\lambda$-torsion representation of the Jacobian of $C$ is reducible for a prime $\lambda$ of $\mathbb…