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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
363.1-a5 363.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $8.936252827$ 1.289836993 \( \frac{347873904937}{395307} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -146\) , \( 621\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-146{x}+621$
363.1-b5 363.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.966388507$ $1.883253066$ 1.576126501 \( \frac{347873904937}{395307} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -147\) , \( -768\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-147{x}-768$
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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.