Learn more

Refine search


Results (3 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
1083.2-b4 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $6.529377996$ 0.942434535 \( \frac{389017}{57} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -2\) , \( -1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-2{x}-1$
61731.2-b3 61731.2-b \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.864837242$ 0.998628029 \( \frac{389017}{57} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( -73 a + 95\) , \( -104 a - 168\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-73a+95\right){x}-104a-168$
61731.3-b3 61731.3-b \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.864837242$ 0.998628029 \( \frac{389017}{57} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 22 a - 95\) , \( 103 a - 271\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(22a-95\right){x}+103a-271$
  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.