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Tuesday, September 10, 2013

**Abstract:** For E a Morava E-theory spectrum of height 2, its ring of power operations has the structure of a graded twisted bialgebra satisfying a Frobenius congruence. For the K(1)-localization of E, its ring of power operations has a single generator over the coefficient ring. We illustrate this structure and provide explicit formulas by doing calculations, at the prime 3, with moduli of elliptic curves.