  The torsion anomalous conjecture states that for any variety V in an abelian
variety there are only finitely many maximal V-torsion anomalous varieties. We
prove this conjecture for V of codimension 2 in a product E^N of any elliptic
curve E. This was known only when E has CM. We also give an effective upper
bound for the normalized height of these maximal V-torsion anomalous varieties.
