Abstract: In this talk, I will discuss joint work with Isaksen, Li, Ruan, and Zhu, on the analysis of the C-motivic Adams-Novikov spectral sequence applied to the C-Motivic modular forms spectrum mmf, as well as the classical topological modular forms spectrum tmf. Our analysis resolves a previously unaddressed aspect regarding the multiplicative properties of the homotopy groups of tmf.