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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
147.1-a2 147.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/4\Z$ $1$ $0.814020435$ 0.939949835 \( -\frac{4354703137}{17294403} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -34\) , \( -217\bigr] \) ${y}^2+{x}{y}={x}^{3}-34{x}-217$
147.1-b2 147.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 7^{2} \) $1$ $\Z/4\Z$ $0.746299208$ $3.651881942$ 1.573508462 \( -\frac{4354703137}{17294403} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -34\) , \( 217\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-34{x}+217$
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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.