On the components of X0(pn)

We show he ordinary locus of X0(pn)(Cp) is normally the set of Cp-valued points on 2n affinoids which correspond to components of the stable model of X0(pn). We then show the points on Edixhoven's “horizontal” components of X0(p2) correspond to elliptic curves which are p-isogenous to curves which Buzzard calls “too supersingular.”