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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-e3 71148.2-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.232395787$ 2.146780332 \( \frac{1763535241378513}{4612311396} \) \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -2517 a + 2517\) , \( 48285\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-2517a+2517\right){x}+48285$
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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.