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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
18396.2-d1 18396.2-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 73 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.171788734$ $0.379140799$ 3.008323687 \( -\frac{12211771579546037}{9540459936} a + \frac{983887313721709}{2385114984} \) \( \bigl[a\) , \( a\) , \( a + 1\) , \( 1233 a - 924\) , \( -15358 a + 2145\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(1233a-924\right){x}-15358a+2145$
42924.2-a1 42924.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 73 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.248205916$ 0.573207010 \( -\frac{12211771579546037}{9540459936} a + \frac{983887313721709}{2385114984} \) \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -1750 a + 2980\) , \( -33948 a - 23732\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1750a+2980\right){x}-33948a-23732$
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  *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.