On Shafarevich-Tate groups and analytic ranks in families of modular forms, II. Coleman families

Maria Rosaria Pati, Gautier Ponsinet, Stefano Vigni

This is the second article in a two-part project whose aim is to study algebraic and analytic ranks in $p$-adic families of modular forms. Let $f$ be a newform of weight $2$, squar…