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Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
24.1-a5 24.1-a \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $5.683508517$ 1.160141318 \( \frac{28756228}{3} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -19\) , \( -29\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-19{x}-29$
24.1-b5 24.1-b \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 3 \) $1$ $\Z/8\Z$ $0.539636932$ $37.20447790$ 1.024545539 \( \frac{28756228}{3} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -322 a - 786\) , \( 5124 a + 12552\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-322a-786\right){x}+5124a+12552$
48.1-a5 48.1-a \(\Q(\sqrt{6}) \) \( 2^{4} \cdot 3 \) $0$ $\Z/4\Z$ $1$ $37.20447790$ 1.898583062 \( \frac{28756228}{3} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( -14\) , \( 12\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-14{x}+12$
48.1-b5 48.1-b \(\Q(\sqrt{6}) \) \( 2^{4} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $5.683508517$ 1.160141318 \( \frac{28756228}{3} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -320 a - 787\) , \( -5445 a - 13339\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-320a-787\right){x}-5445a-13339$
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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.