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Results (3 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
100156.4-c2 100156.4-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $1$ $\Z/2\Z$ $3.520772813$ $0.189118281$ 3.075394794 \( \frac{637509743623817073}{147520438988258} a - \frac{217278319585716315}{73760219494129} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -777 a - 1015\) , \( 22687 a + 5929\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-777a-1015\right){x}+22687a+5929$
100156.6-d2 100156.6-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $0$ $\Z/2\Z$ $1$ $0.189118281$ 1.746999853 \( \frac{637509743623817073}{147520438988258} a - \frac{217278319585716315}{73760219494129} \) \( \bigl[a\) , \( a\) , \( 0\) , \( 287 a + 1393\) , \( 27587 a - 24451\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(287a+1393\right){x}+27587a-24451$
128772.4-g2 128772.4-g \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \) $0$ $\Z/6\Z$ $1$ $0.288882946$ 2.668586355 \( \frac{637509743623817073}{147520438988258} a - \frac{217278319585716315}{73760219494129} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -168 a + 735\) , \( 8379 a - 3087\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-168a+735\right){x}+8379a-3087$
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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.