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-c1 1083.2-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.271765830$ 1.255232601 \( -\frac{9358714467168256}{22284891} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( -4390 a + 4390\) , \( -113432\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-4390a+4390\right){x}-113432$
61731.2-d1 61731.2-d \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.035996263$ 0.831298097 \( -\frac{9358714467168256}{22284891} \) \( \bigl[0\) , \( a + 1\) , \( 1\) , \( 276592 a - 65855\) , \( -18648239 a - 36055987\bigr] \) ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(276592a-65855\right){x}-18648239a-36055987$
61731.3-d1 61731.3-d \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.035996263$ 0.831298097 \( -\frac{9358714467168256}{22284891} \) \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 65856 a - 276591\) , \( 18858975 a - 54638371\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(65856a-276591\right){x}+18858975a-54638371$
  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.