Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves
Abstract
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves X0(D,N). In this paper we compute the Q-rational points on the Atkin-Lehner quotients of these curves using a variety of techniques. We also determine which rational points are CM for many of these curves.
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