  Let A be the coordinate ring of an affine elliptic curve (over an infinite
field k) of the form X-{p}, where X is projective and p is a closed point on X.
Denote by F the function field of X. We show that the image of H_*(GL_2(A),Z)
in H_*(GL_2(F),Z) coincides with the image of H_*(GL_2(k),Z). As a consequence,
we obtain numerous results about the K-theory of A and X. For example, if k is
a number field, we show that r_2(K_2> (A) x Q)=0, where r_m denotes the m-th
level of the rank filtration.
