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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
72.1-a4 72.1-a \(\Q(\sqrt{2}, \sqrt{3})\) \( 2^{3} \cdot 3^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $516.8363050$ 1.345927877 \( \frac{35152}{9} \) \( \bigl[a^{3} - 3 a\) , \( 0\) , \( a^{3} - 3 a\) , \( -2\) , \( -1\bigr] \) ${y}^2+\left(a^{3}-3a\right){x}{y}+\left(a^{3}-3a\right){y}={x}^{3}-2{x}-1$
72.1-b4 72.1-b \(\Q(\sqrt{2}, \sqrt{3})\) \( 2^{3} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/8\Z$ $\mathrm{SU}(2)$ $0.269818466$ $1384.173176$ 1.945184808 \( \frac{35152}{9} \) \( \bigl[a^{3} - 3 a\) , \( -1\) , \( a^{3} - 3 a\) , \( -2\) , \( 0\bigr] \) ${y}^2+\left(a^{3}-3a\right){x}{y}+\left(a^{3}-3a\right){y}={x}^{3}-{x}^{2}-2{x}$
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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.