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Results (8 matches)

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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
578.1-a1 578.1-a \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) $2$ $\Z/6\Z$ $\mathrm{SU}(2)$ $0.703601975$ $20.21098874$ 3.583227075 \( \frac{3048625}{1088} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -3\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}-3{x}+1$
578.1-a2 578.1-a \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.703601975$ $2.245665415$ 3.583227075 \( \frac{159661140625}{48275138} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -113\) , \( -329\bigr] \) ${y}^2+{x}{y}={x}^{3}-113{x}-329$
578.1-a3 578.1-a \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) $2$ $\Z/6\Z$ $\mathrm{SU}(2)$ $0.703601975$ $20.21098874$ 3.583227075 \( \frac{8805624625}{2312} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -43\) , \( 105\bigr] \) ${y}^2+{x}{y}={x}^{3}-43{x}+105$
578.1-a4 578.1-a \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.703601975$ $2.245665415$ 3.583227075 \( \frac{120920208625}{19652} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -103\) , \( -411\bigr] \) ${y}^2+{x}{y}={x}^{3}-103{x}-411$
578.1-b1 578.1-b \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $13.90059457$ 7.880896357 \( \frac{3048625}{1088} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -4\) , \( -5\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-4{x}-5$
578.1-b2 578.1-b \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.475148644$ 7.880896357 \( \frac{159661140625}{48275138} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -114\) , \( 215\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-114{x}+215$
578.1-b3 578.1-b \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.475148644$ 7.880896357 \( \frac{8805624625}{2312} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -44\) , \( -149\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-44{x}-149$
578.1-b4 578.1-b \(\Q(\sqrt{7}) \) \( 2 \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $13.90059457$ 7.880896357 \( \frac{120920208625}{19652} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -104\) , \( 307\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-104{x}+307$
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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.