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Results (10 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
147.2-a8 147.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \) $0$ $\Z/4\Z$ $1$ $0.862076929$ 0.497720347 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -784\) , \( -8515\bigr] \) ${y}^2+{x}{y}={x}^{3}-784{x}-8515$
3087.2-a8 3087.2-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 7^{3} \) $0$ $\Z/2\Z$ $1$ $0.188120608$ 1.737783746 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( a\) , \( 0\) , \( -18816 a + 11760\) , \( -510900 a + 945165\bigr] \) ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-18816a+11760\right){x}-510900a+945165$
3087.3-a8 3087.3-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 7^{3} \) $0$ $\Z/2\Z$ $1$ $0.188120608$ 1.737783746 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 18816 a - 7056\) , \( 510900 a + 434265\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18816a-7056\right){x}+510900a+434265$
7203.3-a8 7203.3-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{4} \) $1$ $\Z/2\Z$ $2.638508823$ $0.123153847$ 1.500845174 \( \frac{53297461115137}{147} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -38417\) , \( 2882228\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-38417{x}+2882228$
24843.4-b8 24843.4-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $0.239097121$ 2.208684594 \( \frac{53297461115137}{147} \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 11760 a - 5488\) , \( -306540 a - 144755\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(11760a-5488\right){x}-306540a-144755$
24843.6-b8 24843.6-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $0.239097121$ 2.208684594 \( \frac{53297461115137}{147} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 5488 a - 11760\) , \( 306540 a - 451295\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5488a-11760\right){x}+306540a-451295$
37632.2-f8 37632.2-f \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) $1$ $\Z/4\Z$ $2.985196834$ $0.215519232$ 2.971586411 \( \frac{53297461115137}{147} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -12544\) , \( 544960\bigr] \) ${y}^2={x}^{3}-{x}^{2}-12544{x}+544960$
91875.2-c8 91875.2-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.945149794$ $0.172415385$ 3.010689818 \( \frac{53297461115137}{147} \) \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -19600 a + 19599\) , \( -1044775\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-19600a+19599\right){x}-1044775$
112896.2-q8 112896.2-q \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.124430086$ 2.298871812 \( \frac{53297461115137}{147} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 37633\) , \( 3232127 a - 1634880\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+37633\right){x}+3232127a-1634880$
112896.2-y8 112896.2-y \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.124430086$ 2.298871812 \( \frac{53297461115137}{147} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 37633\) , \( -3232127 a + 1634880\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+37633\right){x}-3232127a+1634880$
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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.