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We characterize the 2-line of the p-local Adams-Novikov spectral sequence interms of modular forms satisfying a certain explicit congruence condition forprimes p > 3. We give a similar characterization of the 1-line, reinterpretingsome earlier work of A. Baker and G. Laures. These results are then used todeduce that, for l a prime which generates the p-adic units, the spectrum Q(l)detects the alpha and beta families in the stable stems.

Congruences between modular forms given by the divided beta family in homotopy theory