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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
130816.2-a1 130816.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7 \cdot 73 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.999880768$ $0.681293906$ 3.146386573 \( -\frac{146913674955}{25589858} a - \frac{392373898517}{25589858} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -158 a + 181\) , \( -177 a - 854\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-158a+181\right){x}-177a-854$
130816.2-a2 130816.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7 \cdot 73 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.499940384$ $1.362587813$ 3.146386573 \( \frac{20198991}{14308} a - \frac{3200392}{3577} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a + 21\) , \( 47 a - 54\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(2a+21\right){x}+47a-54$
130816.2-b1 130816.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7 \cdot 73 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.681293906$ 3.146761764 \( -\frac{146913674955}{25589858} a - \frac{392373898517}{25589858} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 181 a - 23\) , \( 177 a + 854\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(181a-23\right){x}+177a+854$
130816.2-b2 130816.2-b \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7 \cdot 73 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.362587813$ 3.146761764 \( \frac{20198991}{14308} a - \frac{3200392}{3577} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 21 a - 23\) , \( -47 a + 54\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(21a-23\right){x}-47a+54$
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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.