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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
28.1-b1 28.1-b \(\Q(\sqrt{161}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $17.01778343$ $0.436190660$ 2.340056850 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$
28.1-e1 28.1-e \(\Q(\sqrt{161}) \) \( 2^{2} \cdot 7 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.697542992$ $7.027708105$ 3.090734813 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( -7453261000 a - 43559009551\) , \( 884743726381089 a + 5170697824615794\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-7453261000a-43559009551\right){x}+884743726381089a+5170697824615794$
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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.