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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
32.4-a1 32.4-a \(\Q(\sqrt{-23}) \) \( 2^{5} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.019902703$ $8.580110917$ 0.854579154 \( -512 a + 768 \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -4\) , \( a - 2\bigr] \) ${y}^2={x}^3-a{x}^2-4{x}+a-2$
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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.