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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
19404.2-f2 19404.2-f \(\Q(\sqrt{-11}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.306811561$ $1.753872130$ 5.191863719 \( \frac{498677257}{213444} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -16\) , \( -20\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-16{x}-20$
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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.