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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
441.1-a4 441.1-a \(\Q(\sqrt{-163}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/8\Z$ $\mathrm{SU}(2)$ $61.41726292$ $1.724153859$ 4.147082535 \( \frac{6570725617}{45927} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) ${y}^2+{x}{y}={x}^3-39{x}+90$
3969.1-a4 3969.1-a \(\Q(\sqrt{-163}) \) \( 3^{4} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.574717953$ 1.440492296 \( \frac{6570725617}{45927} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -351\) , \( -2430\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-351{x}-2430$
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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.