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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
484.1-a1 484.1-a \(\Q(\sqrt{6}) \) \( 2^{2} \cdot 11^{2} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $18.65468372$ 3.807871369 \( -\frac{199794688}{1331} \) \( \bigl[0\) , \( 1\) , \( a\) , \( -19\) , \( 25\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}-19{x}+25$
484.1-a2 484.1-a \(\Q(\sqrt{6}) \) \( 2^{2} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $18.65468372$ 3.807871369 \( \frac{8192}{11} \) \( \bigl[0\) , \( 1\) , \( a\) , \( 1\) , \( -1\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}+{x}-1$
484.1-b1 484.1-b \(\Q(\sqrt{6}) \) \( 2^{2} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.294911296$ 0.792967984 \( -\frac{199794688}{1331} \) \( \bigl[0\) , \( a + 1\) , \( a\) , \( -386 a - 945\) , \( -6960 a - 17050\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-386a-945\right){x}-6960a-17050$
484.1-b2 484.1-b \(\Q(\sqrt{6}) \) \( 2^{2} \cdot 11^{2} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $11.65420166$ 0.792967984 \( \frac{8192}{11} \) \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -14 a + 35\) , \( 32 a - 80\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14a+35\right){x}+32a-80$
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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.