Rankin–Selberg L-functions and the reduction of CM elliptic curves
Rankin–Selberg L-functions and the reduction of CM elliptic curves
Let q be a prime and $$K={\mathbb Q}(\sqrt{-D})$$ be an imaginary quadratic field such that q is inert in K. If $$\mathfrak {q}$$ is a prime above q in the Hilbert class field of K, there is a reduction map $$\begin{aligned} r_{\mathfrak q}:\;{\mathcal {E\ell \ell }}({\mathcal {O}}_K) \longrightarrow {\mathcal {E\ell …