Learn more

Refine search


Results (displaying both matches)

  displayed columns for results
Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
171.1-e1 171.1-e \(\Q(\sqrt{19}) \) \( 3^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.014286018$ $30.86363048$ 1.618457864 \( -\frac{1404928}{171} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -2\) , \( 2\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-2{x}+2$
171.1-j1 171.1-j \(\Q(\sqrt{19}) \) \( 3^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.194156810$ $3.679988085$ 8.065308033 \( -\frac{1404928}{171} \) \( \bigl[0\) , \( 1\) , \( a\) , \( -2\) , \( -7\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}-2{x}-7$
  displayed columns for results

  *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.