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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
100156.3-d3 100156.3-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $0$ $\Z/2\Z$ $1$ $0.189118281$ 1.746999853 \( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( 1680 a - 1393\) , \( -27587 a + 3136\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(1680a-1393\right){x}-27587a+3136$
100156.5-c3 100156.5-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $1$ $\Z/2\Z$ $3.520772813$ $0.189118281$ 3.075394794 \( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \) \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 1015 a + 777\) , \( -22687 a + 28616\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1015a+777\right){x}-22687a+28616$
128772.3-e3 128772.3-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \) $0$ $\Z/6\Z$ $1$ $0.288882946$ 2.668586355 \( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 168 a + 567\) , \( -8379 a + 5292\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(168a+567\right){x}-8379a+5292$
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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.