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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
18396.2-e1 18396.2-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 73 \) $0$ $\Z/3\Z$ $1$ $0.899085400$ 2.076348791 \( -\frac{91698753975}{50078} a - \frac{2296727574189}{200312} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 52 a + 241\) , \( -1854 a + 1379\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(52a+241\right){x}-1854a+1379$
128772.2-c1 128772.2-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \) $1$ $\mathsf{trivial}$ $0.311103122$ $0.588589557$ 3.383033314 \( -\frac{91698753975}{50078} a - \frac{2296727574189}{200312} \) \( \bigl[a\) , \( -1\) , \( 1\) , \( -543 a - 154\) , \( -6567 a + 1550\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-543a-154\right){x}-6567a+1550$
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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.