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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
20449.2-a1 20449.2-a \(\Q(\sqrt{-2}) \) \( 11^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.165494585$ $3.970916595$ 3.717487737 \( -\frac{262144}{1859} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -1\) , \( -2\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-{x}-2$
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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.