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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
147.1-a6 147.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $3.256081743$ 0.939949835 \( \frac{13027640977}{21609} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -49\) , \( -136\bigr] \) ${y}^2+{x}{y}={x}^{3}-49{x}-136$
147.1-b6 147.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.492598417$ $14.60752776$ 1.573508462 \( \frac{13027640977}{21609} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -49\) , \( 136\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-49{x}+136$
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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.