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Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
162.1-a2 162.1-a \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{4} \) 0 $\Z/9\Z$ $\mathrm{SU}(2)$ $1$ $9.557777544$ 1.839395146 \( -\frac{1167051}{512} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -14\) , \( 29\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-14{x}+29$
162.1-b2 162.1-b \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{4} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.693964260$ $1.476621706$ 1.183247842 \( -\frac{1167051}{512} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -15\) , \( -30\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-15{x}-30$
1296.1-c2 1296.1-c \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.253446840$ 1.878378408 \( -\frac{1167051}{512} \) \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -18\) , \( 26 a\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-18{x}+26a$
1296.1-f2 1296.1-f \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.253446840$ 1.878378408 \( -\frac{1167051}{512} \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -18\) , \( -26 a\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}-18{x}-26a$
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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.