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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
26.1-a1 26.1-a \(\Q(\sqrt{26}) \) \( 2 \cdot 13 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.383448027$ $0.385597965$ 2.929334318 \( -\frac{1064019559329}{125497034} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -845\) , \( -12597\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-845{x}-12597$
26.1-b1 26.1-b \(\Q(\sqrt{26}) \) \( 2 \cdot 13 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $14.35077864$ $0.385597965$ 4.340937337 \( -\frac{1064019559329}{125497034} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -213\) , \( -1257\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$
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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.