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Results (4 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
900.1-a1 900.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $2.819962089$ 1.085403914 \( -\frac{1860867}{320} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -8\) , \( 11\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-8{x}+11$
900.1-a2 900.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $2.819962089$ 1.085403914 \( \frac{804357}{500} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 6\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+6{x}$
900.1-a3 900.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.409981044$ 1.085403914 \( \frac{57960603}{31250} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -24\) , \( 18\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-24{x}+18$
900.1-a4 900.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.409981044$ 1.085403914 \( \frac{8527173507}{200} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -128\) , \( 587\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-128{x}+587$
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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.