Learn more

Refine search


Results (unique match)

  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
261.2-a1 261.2-a \(\Q(\sqrt{-67}) \) \( 3^{2} \cdot 29 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $8.758249111$ 2.139980855 \( \frac{863}{87} a + \frac{25789}{87} \) \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -4 a - 6\) , \( -3 a + 17\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^3+\left(a+1\right){x}^2+\left(-4a-6\right){x}-3a+17$
  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.