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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
1458.1-b1 1458.1-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.699423429$ 0.699423429 \( \frac{23376651}{32} a - \frac{13799643}{32} \) \( \bigl[1\) , \( -1\) , \( i + 1\) , \( -284 i + 133\) , \( 337 i - 2152\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-284i+133\right){x}+337i-2152$
1458.1-e1 1458.1-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $2.098270288$ 2.098270288 \( \frac{23376651}{32} a - \frac{13799643}{32} \) \( \bigl[i\) , \( 1\) , \( 1\) , \( -32 i + 15\) , \( 2 i - 75\bigr] \) ${y}^2+i{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-32i+15\right){x}+2i-75$
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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.