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Results (3 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
5202.5-i7 5202.5-i \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.367508294$ 4.157881714 \( \frac{576615941610337}{27060804} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -1734\) , \( -27936\bigr] \) ${y}^2+{x}{y}={x}^{3}-1734{x}-27936$
41616.5-g7 41616.5-g \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $3.826981769$ $0.183754147$ 3.978034379 \( \frac{576615941610337}{27060804} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( -6936\) , \( -223488\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-6936{x}-223488$
46818.8-k7 46818.8-k \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{4} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $3.412507744$ $0.122502764$ 4.729601183 \( \frac{576615941610337}{27060804} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -15606\) , \( 754272\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-15606{x}+754272$
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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.