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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-g2 5202.5-g \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.090795502$ 3.856544483 \( \frac{2091127194353}{409563864} a + \frac{36587816460805}{1638255456} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 29 a - 57\) , \( 100 a - 131\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a-57\right){x}+100a-131$
41616.5-m2 41616.5-m \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.244349942$ $0.545397751$ 4.146324253 \( \frac{2091127194353}{409563864} a + \frac{36587816460805}{1638255456} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 121 a - 224\) , \( 1028 a - 811\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(121a-224\right){x}+1028a-811$
46818.8-b2 46818.8-b \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{4} \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.363598500$ 1.028411862 \( \frac{2091127194353}{409563864} a + \frac{36587816460805}{1638255456} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 270 a - 504\) , \( -3488 a + 3512\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(270a-504\right){x}-3488a+3512$
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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.