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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
71148.2-b2 71148.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/4\Z$ $0.544074716$ $0.274634007$ 3.450739881 \( \frac{29609739866953}{15259926528} \) \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -644 a + 643\) , \( -1708\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-644a+643\right){x}-1708$
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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.