As is well known, the image of the J-homomorphism in the stable homotopy groups of spheres is described in terms of the first line of the Adams-Novikov E2-term. In this paper we consider an algebraic analogue of the image of J using the spectrum T(m)(j) defined by Ravenel and determine the Adams-Novikov first line for small values of j.
Homology, Homotopy and Applications, Vol. 10 (2008), No. 3, pp.321-333.