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Results (3 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
100156.4-c3 100156.4-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $1$ $\Z/2\Z$ $1.760386406$ $0.378236563$ 3.075394794 \( -\frac{275361962643}{34353508} a + \frac{19029031083}{34353508} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( 203 a - 525\) , \( 2793 a - 4361\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(203a-525\right){x}+2793a-4361$
100156.6-d3 100156.6-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $0$ $\Z/2\Z$ $1$ $0.378236563$ 1.746999853 \( -\frac{275361962643}{34353508} a + \frac{19029031083}{34353508} \) \( \bigl[a\) , \( a\) , \( 0\) , \( -333 a + 523\) , \( -1947 a - 2461\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-333a+523\right){x}-1947a-2461$
128772.4-g3 128772.4-g \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \) $0$ $\Z/6\Z$ $1$ $0.577765893$ 2.668586355 \( -\frac{275361962643}{34353508} a + \frac{19029031083}{34353508} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -198 a + 195\) , \( 141 a - 1137\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-198a+195\right){x}+141a-1137$
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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.