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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
46656.4-d1 46656.4-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.971619719$ $0.874861983$ 4.160603619 \( 48 a + 1584 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 27 a - 54\) , \( 54\bigr] \) ${y}^2={x}^{3}+\left(27a-54\right){x}+54$
46656.4-k1 46656.4-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.384644815$ $2.624585950$ 7.305258393 \( 48 a + 1584 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a - 6\) , \( -2\bigr] \) ${y}^2={x}^{3}+\left(3a-6\right){x}-2$
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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.