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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-b2 100156.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $0$ $\Z/2\Z$ $1$ $0.596187144$ 1.376835233 \( \frac{5321822571516}{1827847} a + \frac{2824357089119}{7311388} \) \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -489 a + 541\) , \( 791 a + 3849\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-489a+541\right){x}+791a+3849$
100156.6-f2 100156.6-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{3} \cdot 73 \) $1$ $\Z/2\Z$ $0.809998644$ $0.596187144$ 6.691408034 \( \frac{5321822571516}{1827847} a + \frac{2824357089119}{7311388} \) \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -119 a + 567\) , \( 5007 a - 1017\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-119a+567\right){x}+5007a-1017$
128772.4-b2 128772.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \) $0$ $\Z/2\Z$ $1$ $0.910690905$ 2.103150558 \( \frac{5321822571516}{1827847} a + \frac{2824357089119}{7311388} \) \( \bigl[1\) , \( a\) , \( 1\) , \( -115 a - 141\) , \( 853 a + 523\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-115a-141\right){x}+853a+523$
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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.