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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
1734.1-c2 1734.1-c \(\Q(\sqrt{3}) \) \( 2 \cdot 3 \cdot 17^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.356490835$ 2.469840961 \( \frac{655215969476375}{1001033261568} \) \( \bigl[a\) , \( -1\) , \( a\) , \( 1808\) , \( 37789\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+1808{x}+37789$
1734.1-f2 1734.1-f \(\Q(\sqrt{3}) \) \( 2 \cdot 3 \cdot 17^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.215615502$ 1.493828022 \( \frac{655215969476375}{1001033261568} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 1809\) , \( -37790\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+1809{x}-37790$
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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.