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Results (6 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
576.1-a1 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.908836754$ 6.661758943 \( \frac{207646}{6561} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 16\) , \( -180\bigr] \) ${y}^2={x}^3-{x}^2+16{x}-180$
576.1-a2 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $7.270694035$ 6.661758943 \( \frac{2048}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2={x}^3-{x}^2+{x}$
576.1-a3 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $3.635347017$ 6.661758943 \( \frac{35152}{9} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -4\) , \( 4\bigr] \) ${y}^2={x}^3-{x}^2-4{x}+4$
576.1-a4 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.817673508$ 6.661758943 \( \frac{1556068}{81} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -24\) , \( -36\bigr] \) ${y}^2={x}^3-{x}^2-24{x}-36$
576.1-a5 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.817673508$ 6.661758943 \( \frac{28756228}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -64\) , \( 220\bigr] \) ${y}^2={x}^3-{x}^2-64{x}+220$
576.1-a6 576.1-a \(\Q(\sqrt{-163}) \) \( 2^{6} \cdot 3^{2} \) $0 \le r \le 1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.908836754$ 6.661758943 \( \frac{3065617154}{9} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -384\) , \( -2772\bigr] \) ${y}^2={x}^3-{x}^2-384{x}-2772$
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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.