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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
71148.2-d2 71148.2-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.503404115$ $1.753872130$ 4.077970209 \( \frac{498677257}{213444} \) \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -16 a + 15\) , \( -4\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-16a+15\right){x}-4$
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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.