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Results (4 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
882.2-a1 882.2-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/8\Z$ $\mathrm{SU}(2)$ $0.570759829$ $2.740367332$ 2.211959540 \( -\frac{7189057}{16128} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -4\) , \( 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$
7056.2-f1 7056.2-f \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.370183666$ 3.875464647 \( -\frac{7189057}{16128} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -15\) , \( 58\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-15{x}+58$
7938.3-a1 7938.3-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{4} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.913455777$ 1.291821549 \( -\frac{7189057}{16128} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -36\) , \( -176\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-36{x}-176$
43218.2-f1 43218.2-f \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 7^{4} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.391481047$ 4.429102453 \( -\frac{7189057}{16128} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -197\) , \( -2367\bigr] \) ${y}^2+{x}{y}={x}^{3}-197{x}-2367$
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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.