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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
1922.1-c4 1922.1-c \(\Q(\sqrt{2}) \) \( 2 \cdot 31^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.018418457$ $19.66889363$ 3.541043031 \( \frac{979146657}{3844} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -21\) , \( 41\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-21{x}+41$
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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.