Let f be a newform, as specified by its Hecke eigenvalues, on a Shimura curve X. We describe a method for evaluating f. The most interesting case is when X arises as a compact quotient of the ...
We present a method for constructing optimized equations for the modular curve X 1 (N) using a local search algorithm on a suitably defined graph of birationally equivalent plane curves. We then apply ...
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