Drinfeld modules in rank 2 with CM and S-unit j-invariants

Liam Baker, Fabien Pazuki, Patricio Perez Pina

We prove the finiteness of the set of $j$-invariants of Drinfeld modules of rank 2 over ${\mathbb{F}}_q[T]$ which are CM and $S$-units, for $S$ the infinite set of primes with even d…