Isogenies of elliptic curves and the Morava stabilizer group

Let S₂ be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over , O the ring of endomorphisms of C, and ? a topological generator of (or if p=2). We show that for p>2 the group Γ⊆O[1/?]^× of quasi-endomorphisms of degree a power of ? is dense in S₂. For p=2, we show that Γ is dense in an index 2 subgroup of S₂.