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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
33800.5-d1 33800.5-d \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.500172487$ $2.200471793$ 4.402461800 \( -\frac{4}{4225} \) \( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i\) , \( -13 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}-13i$
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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.