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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-i2 5202.5-i \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.091877073$ 4.157881714 \( -\frac{61437923106397764191713}{291967151254001210886} a - \frac{146204680417750243067160}{48661191875666868481} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 4305 a - 924\) , \( -137739 a - 127314\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(4305a-924\right){x}-137739a-127314$
41616.5-g2 41616.5-g \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 17^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $3.826981769$ $0.045938536$ 3.978034379 \( -\frac{61437923106397764191713}{291967151254001210886} a - \frac{146204680417750243067160}{48661191875666868481} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( 17220 a - 3696\) , \( -1101912 a - 1018512\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(17220a-3696\right){x}-1101912a-1018512$
46818.8-k2 46818.8-k \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{4} \cdot 17^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $13.65003097$ $0.030625691$ 4.729601183 \( -\frac{61437923106397764191713}{291967151254001210886} a - \frac{146204680417750243067160}{48661191875666868481} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 38745 a - 8316\) , \( 3718953 a + 3437478\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(38745a-8316\right){x}+3718953a+3437478$
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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.