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Results (7 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
3249.1-a1 3249.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $0.037574592$ $5.328644115$ 0.800886529 \( -\frac{1404928}{171} \) \( \bigl[0\) , \( 1\) , \( i\) , \( -2\) , \( -2\bigr] \) ${y}^2+i{y}={x}^{3}+{x}^{2}-2{x}-2$
3249.1-b1 3249.1-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $0.226284916$ $0.271765830$ 1.229930161 \( -\frac{9358714467168256}{22284891} \) \( \bigl[0\) , \( -1\) , \( i\) , \( -4390\) , \( 113432\bigr] \) ${y}^2+i{y}={x}^{3}-{x}^{2}-4390{x}+113432$
3249.1-b2 3249.1-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\Z/5\Z$ $1.131424581$ $1.358829150$ 1.229930161 \( \frac{841232384}{1121931} \) \( \bigl[0\) , \( -1\) , \( i\) , \( 20\) , \( 32\bigr] \) ${y}^2+i{y}={x}^{3}-{x}^{2}+20{x}+32$
3249.1-c1 3249.1-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\Z/4\Z$ $2.601893913$ $1.632344499$ 2.123593608 \( \frac{67419143}{390963} \) \( \bigl[i\) , \( 0\) , \( i\) , \( 9\) , \( -29\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+9{x}-29$
3249.1-c2 3249.1-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.650473478$ $6.529377996$ 2.123593608 \( \frac{389017}{57} \) \( \bigl[i\) , \( 0\) , \( i\) , \( -1\) , \( 1\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}+1$
3249.1-c3 3249.1-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.300946956$ $3.264688998$ 2.123593608 \( \frac{30664297}{3249} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -7\) , \( 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-7{x}+5$
3249.1-c4 3249.1-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 19^{2} \) $1$ $\Z/4\Z$ $2.601893913$ $1.632344499$ 2.123593608 \( \frac{115714886617}{1539} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -102\) , \( 385\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-102{x}+385$
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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.