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Results (8 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
147.2-a1 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.431038464$ 0.497720347 \( -\frac{1866593950165482334}{99698791708803} a + \frac{793626053533786727}{99698791708803} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -470 a + 321\) , \( 1866 a - 3772\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-470a+321\right){x}+1866a-3772$
147.2-a2 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.431038464$ 0.497720347 \( \frac{1866593950165482334}{99698791708803} a - \frac{1072967896631695607}{99698791708803} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 470 a - 149\) , \( -1866 a - 1906\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(470a-149\right){x}-1866a-1906$
147.2-a3 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.862076929$ 0.497720347 \( -\frac{4354703137}{17294403} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -34\) , \( -217\bigr] \) ${y}^2+{x}{y}={x}^{3}-34{x}-217$
147.2-a4 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/8\Z$ $1$ $6.896615437$ 0.497720347 \( \frac{103823}{63} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}$
147.2-a5 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/8\Z$ $1$ $3.448307718$ 0.497720347 \( \frac{7189057}{3969} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -4\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^{3}-4{x}-1$
147.2-a6 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/8\Z$ $1$ $1.724153859$ 0.497720347 \( \frac{6570725617}{45927} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) ${y}^2+{x}{y}={x}^{3}-39{x}+90$
147.2-a7 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $1.724153859$ 0.497720347 \( \frac{13027640977}{21609} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -49\) , \( -136\bigr] \) ${y}^2+{x}{y}={x}^{3}-49{x}-136$
147.2-a8 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/4\Z$ $1$ $0.862076929$ 0.497720347 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -784\) , \( -8515\bigr] \) ${y}^2+{x}{y}={x}^{3}-784{x}-8515$
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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.