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Results (5 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
450.2-a4 450.2-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/12\Z$ $\mathrm{SU}(2)$ $1$ $0.970717605$ 1.372802002 \( \frac{35578826569}{5314410} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -69\) , \( -194\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-69{x}-194$
3600.2-b4 3600.2-b \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.485358802$ 1.372802002 \( \frac{35578826569}{5314410} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( -274\) , \( -1550\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-274{x}-1550$
4050.3-c4 4050.3-c \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.254186424$ $0.323572535$ 4.591332359 \( \frac{35578826569}{5314410} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -617\) , \( 5231\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-617{x}+5231$
11250.2-b4 11250.2-b \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 5^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.194143521$ 1.098241602 \( \frac{35578826569}{5314410} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -1713\) , \( -24219\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1713{x}-24219$
32400.3-g4 32400.3-g \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.161786267$ 1.830402670 \( \frac{35578826569}{5314410} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -2466\) , \( 41850\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-2466{x}+41850$
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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.