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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
1600.4-a1 1600.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.498444490$ 1.132717564 \( \frac{237276}{625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( -34\bigr] \) ${y}^2={x}^{3}+13{x}-34$
1600.4-a2 1600.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.996888981$ 1.132717564 \( \frac{148176}{25} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( -6\bigr] \) ${y}^2={x}^{3}-7{x}-6$
1600.4-a3 1600.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $5.993777963$ 1.132717564 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) ${y}^2={x}^{3}-2{x}+1$
1600.4-a4 1600.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.498444490$ 1.132717564 \( \frac{132304644}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -107\) , \( -426\bigr] \) ${y}^2={x}^{3}-107{x}-426$
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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.