Learn more

Refine search


Results (4 matches)

  Download to        
Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
256.1-CMb1 256.1-CMb \(\Q(\sqrt{-3}) \) \( 2^{8} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ $1$ $8.847515954$ 0.638514464 \( 0 \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$
256.1-CMb2 256.1-CMb \(\Q(\sqrt{-3}) \) \( 2^{8} \) $0$ $\Z/4\Z$ $-12$ $1$ $4.423757977$ 0.638514464 \( 54000 \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -4 a\) , \( 8 a - 4\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-4a{x}+8a-4$
256.1-CMa1 256.1-CMa \(\Q(\sqrt{-3}) \) \( 2^{8} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ $1$ $8.847515954$ 0.638514464 \( 0 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
256.1-CMa2 256.1-CMa \(\Q(\sqrt{-3}) \) \( 2^{8} \) $0$ $\Z/4\Z$ $-12$ $1$ $4.423757977$ 0.638514464 \( 54000 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a - 5\) , \( -3 a - 1\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a-1$
  Download to        

  *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.