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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
1083.2-b3 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.632344499$ 0.942434535 \( \frac{67419143}{390963} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 8\) , \( 29\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+8{x}+29$
61731.2-b2 61731.2-b \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.216209310$ 0.998628029 \( \frac{67419143}{390963} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( 407 a - 535\) , \( 4786 a + 8982\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(407a-535\right){x}+4786a+8982$
61731.3-b2 61731.3-b \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 19^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.216209310$ 0.998628029 \( \frac{67419143}{390963} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -128 a + 535\) , \( -4787 a + 13769\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-128a+535\right){x}-4787a+13769$
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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.