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
260.2-b1 260.2-b \(\Q(\sqrt{10}) \) \( 2^{2} \cdot 5 \cdot 13 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.504701855$ 2.141228278 \( -\frac{229616225792}{54925} a - \frac{145218683136}{10985} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -72 a + 215\) , \( 1240 a - 3935\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-72a+215\right){x}+1240a-3935$
260.2-c1 260.2-c \(\Q(\sqrt{10}) \) \( 2^{2} \cdot 5 \cdot 13 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.504701855$ 0.713742759 \( -\frac{229616225792}{54925} a - \frac{145218683136}{10985} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -18 a + 54\) , \( 146 a - 465\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-18a+54\right){x}+146a-465$
  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.