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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
200.1-a1 200.1-a \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $4.406960782$ 1.799134205 \( \frac{237276}{625} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 65 a + 157\) , \( -809 a - 1983\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(65a+157\right){x}-809a-1983$
200.1-b1 200.1-b \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.170940323$ $8.151961419$ 2.275574206 \( \frac{237276}{625} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 4\) , \( 6\bigr] \) ${y}^2+a{x}{y}={x}^{3}+4{x}+6$
400.1-c1 400.1-c \(\Q(\sqrt{6}) \) \( 2^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.722205338$ $4.406960782$ 2.598688654 \( \frac{237276}{625} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 1\) , \( -4\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}-4$
400.1-d1 400.1-d \(\Q(\sqrt{6}) \) \( 2^{4} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.500528594$ $8.151961419$ 3.331542662 \( \frac{237276}{625} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 65 a + 160\) , \( 874 a + 2141\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(65a+160\right){x}+874a+2141$
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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.