Abstract
This article investigates explicit linear dependence relations in the K2-group of modular curves. In particular, it is shown that the Beilinson-Kato elements in K2 of the modular curve Y (N) satisfy the Manin relations whenN is not divisible by 3. Similar results are obtained for the modular curves X1(N) and X0(N) when N is prime. Finally we exhibit explicit generators of K2, assuming the Beilinson conjecture.
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