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Under GRH, we prove that there is a constant $C_E\\in (0, 1)$ such that $$ \\frac{1}{\\pi(x)} \\sum_{p\\le x} e_p = 1/2 C_E x + O_E\\big(x^{5/6} (\\log x)^{4/3}\\big) $$ for all $x\\ge 2$, where the implied constant depends on $E$ at most. When $E$ has complex multiplication, the same asymptotic formula with a weaker error term $O_E(1/(\\log x)^{1/14})$ is established unconditionally. 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