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
1250.1-a3 1250.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 5^{4} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $4.577438616$ 1.078912628 \( -\frac{25}{2} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( -2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}-2$
1250.1-b3 1250.1-b \(\Q(\sqrt{2}) \) \( 2 \cdot 5^{4} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $2.287593322$ $0.915487723$ 2.961735990 \( -\frac{25}{2} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -13\) , \( -219\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-13{x}-219$
  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.