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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
441.3-CMa1 441.3-CMa \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 7^{2} \) 0 $\Z/3\Z$ $-3$ $\mathrm{U}(1)$ $1$ $2.215892550$ 0.852897440 \( 0 \) \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 9 a + 4\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+9a+4$
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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.