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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
8281.1-a1 8281.1-a \(\Q(\sqrt{-7}) \) \( 7^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.512365235$ $1.339220582$ 6.124205680 \( -\frac{56723625}{13} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -107\) , \( 454\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-107{x}+454$
8281.1-a2 8281.1-a \(\Q(\sqrt{-7}) \) \( 7^{2} \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.512365235$ $0.191317226$ 6.124205680 \( \frac{11397810375}{62748517} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 628\) , \( -17823\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+628{x}-17823$
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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.