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Results (6 matches)

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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
289.2-a1 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $0.509074358$ $2.123938699$ 0.540621365 \( -\frac{35937}{83521} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 0\) , \( 14\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+14$
289.2-a2 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.509074358$ $8.495754796$ 0.540621365 \( \frac{35937}{17} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 0\) , \( 0\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}$
289.2-a3 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.254537179$ $1.061969349$ 0.540621365 \( -\frac{73070565686415}{6975757441} a + \frac{321713588002536}{6975757441} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -75 i + 40\) , \( -38 i + 304\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(-75i+40\right){x}-38i+304$
289.2-a4 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.254537179$ $1.061969349$ 0.540621365 \( \frac{73070565686415}{6975757441} a + \frac{321713588002536}{6975757441} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 75 i + 40\) , \( 38 i + 304\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(75i+40\right){x}+38i+304$
289.2-a5 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.018148717$ $4.247877398$ 0.540621365 \( \frac{20346417}{289} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -6\) , \( -4\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$
289.2-a6 289.2-a \(\Q(\sqrt{-1}) \) \( 17^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.036297434$ $2.123938699$ 0.540621365 \( \frac{82483294977}{17} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -91\) , \( -310\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$
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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.