Point counting on reductions of CM elliptic curves
classification
🧮 math.NT
keywords
curvesellipticreductionscasescertaincomplexcountingearlier
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We give explicit formulas for the number of points on reductions of elliptic curves with complex multiplication by any imaginary quadratic field. We also find models for CM $\mathbf{Q}$-curves in certain cases. This generalizes earlier results of Gross, Stark, and others.
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