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Results (5 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
8281.1-CMe1 8281.1-CMe \(\Q(\sqrt{-3}) \) \( 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $0.501915664$ 0.579562288 \( 0 \) \( \bigl[0\) , \( a + 1\) , \( a\) , \( a\) , \( -1042 a + 1066\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-1042a+1066$
8281.1-CMd1 8281.1-CMd \(\Q(\sqrt{-3}) \) \( 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $1.809682664$ 2.089641546 \( 0 \) \( \bigl[0\) , \( -a - 1\) , \( a\) , \( a\) , \( -26 a + 9\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-26a+9$
8281.1-CMc1 8281.1-CMc \(\Q(\sqrt{-3}) \) \( 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $0.626142050$ 0.723006563 \( 0 \) \( \bigl[0\) , \( -a - 1\) , \( a\) , \( a\) , \( -623 a + 376\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-623a+376$
8281.1-CMb1 8281.1-CMb \(\Q(\sqrt{-3}) \) \( 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $2.257587269$ 2.606837235 \( 0 \) \( \bigl[0\) , \( a + 1\) , \( a\) , \( a\) , \( -11 a - 1\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-11a-1$
8281.1-CMa1 8281.1-CMa \(\Q(\sqrt{-3}) \) \( 7^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $2.816350280$ 3.252041185 \( 0 \) \( \bigl[0\) , \( -a - 1\) , \( a\) , \( a\) , \( -4 a - 3\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-4a-3$
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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.