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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
27864.3-c1 27864.3-c \(\Q(\sqrt{-2}) \) \( 2^{3} \cdot 3^{4} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.118626377$ $1.873745711$ 5.658214722 \( -\frac{187524338}{846369} a + \frac{1460733730}{846369} \) \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 3 a + 13\) , \( 2 a + 6\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a+13\right){x}+2a+6$
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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.