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Results (6 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
441.1-a1 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/4\Z$ $0.746299208$ $0.862076929$ 0.643367330 \( -\frac{4354703137}{17294403} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -34\) , \( 217\bigr] \) ${y}^2+i{x}{y}={x}^{3}-34{x}+217$
441.1-a2 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/4\Z$ $0.373149604$ $6.896615437$ 0.643367330 \( \frac{103823}{63} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}$
441.1-a3 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $0.746299208$ $3.448307718$ 0.643367330 \( \frac{7189057}{3969} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -4\) , \( 1\bigr] \) ${y}^2+i{x}{y}={x}^{3}-4{x}+1$
441.1-a4 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/8\Z$ $1.492598417$ $1.724153859$ 0.643367330 \( \frac{6570725617}{45927} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -39\) , \( -90\bigr] \) ${y}^2+i{x}{y}={x}^{3}-39{x}-90$
441.1-a5 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $1.492598417$ $1.724153859$ 0.643367330 \( \frac{13027640977}{21609} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -49\) , \( -136\bigr] \) ${y}^2+{x}{y}={x}^{3}-49{x}-136$
441.1-a6 441.1-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 7^{2} \) $1$ $\Z/4\Z$ $2.985196834$ $0.862076929$ 0.643367330 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -784\) , \( -8515\bigr] \) ${y}^2+{x}{y}={x}^{3}-784{x}-8515$
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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.