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Since this is a family of curves with complex multiplication, we have $L(s, E_d)=L(s - \\frac12, \\xi_d)$, where $\\xi_d$ is a Hecke character over $\\mathbb{Z}[i]$. Assuming the Generalized Riemann Hypothesis, we compute the one-level density of the low-lying zeros of this family for test functions whose Fourier transform is supported in $(-\\frac35, \\frac35)$. 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Since this is a family of curves with complex multiplication, we have $L(s, E_d)=L(s - \\frac12, \\xi_d)$, where $\\xi_d$ is a Hecke character over $\\mathbb{Z}[i]$. Assuming the Generalized Riemann Hypothesis, we compute the one-level density of the low-lying zeros of this family for test functions whose Fourier transform is supported in $(-\\frac35, \\frac35)$. 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