#### Volume 14, issue 2 (2014)

The power operation structure on Morava $E\!$–theory of height $2$ at the prime $3$
 1 M Ando, Isogenies of formal group laws and power operations in the cohomology theories $E^n$, Duke Math. J. 79 (1995) 423 MR1344767 2 M Ando, M J Hopkins, N P Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001) 595 MR1869850 3 M H Baker, E González-Jiménez, J González, B Poonen, Finiteness results for modular curves of genus at least $2$, Amer. J. Math. 127 (2005) 1325 MR2183527 4 J Borger, B Wieland, Plethystic algebra, Advances Math. 194 (2005) 246 MR2139914 5 R R Bruner, J P May, J E McClure, M Steinberger, $H_\infty$ ring spectra and their applications, Lecture Notes in Mathematics 1176, Springer (1986) MR836132 6 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs 47, Amer. Math. Soc. (1997) MR1417719 7 P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040 8 M J Hopkins, $K(1)$–local $E_\infty$ ring spectra 9 M Hovey, $v_n$–elements in ring spectra and applications to bordism theory, Duke Math. J. 88 (1997) 327 MR1455523 10 D Husemöller, Elliptic curves, Graduate Texts in Mathematics 111, Springer (2004) MR2024529 11 N M Katz, B Mazur, Arithmetic moduli of elliptic curves, Annals of Mathematics Studies 108, Princeton Univ. Press (1985) MR772569 12 M Mahowald, C Rezk, Topological modular forms of level $3$, Pure Appl. Math. Q. 5 (2009) 853 MR2508904 13 A Mazel-Gee, E Peterson, N Stapleton, A relative Lubin–Tate theorem via meromorphic formal geometry arXiv:1308.5435 14 C Rezk, Lectures on power operations 15 C Rezk, Power operations for Morava ${E}$–theory of height $2$ at the prime $2$ arXiv:0812.1320 16 C Rezk, The congruence criterion for power operations in Morava $E$–theory, Homology, Homotopy Appl. 11 (2009) 327 MR2591924 17 J H Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics 106, Springer (2009) MR2514094 18 N E Steenrod, Cohomology operations, Annals of Mathematics Studies 50, Princeton Univ. Press (1962) MR0145525 19 N P Strickland, Morava $E$–theory of symmetric groups, Topology 37 (1998) 757 MR1607736 20 V Voevodsky, Reduced power operations in motivic cohomology, Publ. Math. Inst. Hautes Études Sci. (2003) 1 MR2031198