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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
1083.1-b1 1083.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 19^{2} \) $1$ $\Z/4\Z$ $2.601893913$ $2.262154252$ 1.699108754 \( \frac{67419143}{390963} \) \( \bigl[a\) , \( -1\) , \( a\) , \( 7\) , \( -30\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+7{x}-30$
1083.1-e1 1083.1-e \(\Q(\sqrt{3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/4\Z$ $1$ $4.711524088$ 2.720199700 \( \frac{67419143}{390963} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 8\) , \( 29\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+8{x}+29$
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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.