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Results (5 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7
49.6.a.a 49.a 1.a $1$ $7.859$ \(\Q\) None 7.6.a.a \(-10\) \(14\) \(56\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-10q^{2}+14q^{3}+68q^{4}+56q^{5}+\cdots\)
49.6.a.b 49.a 1.a $1$ $7.859$ \(\Q\) \(\Q(\sqrt{-7}) \) 49.6.a.b \(11\) \(0\) \(0\) \(0\) $-$ $N(\mathrm{U}(1))$ \(q+11q^{2}+89q^{4}+627q^{8}-3^{5}q^{9}+\cdots\)
49.6.a.c 49.a 1.a $2$ $7.859$ \(\Q(\sqrt{39}) \) None 49.6.a.c \(-4\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{2}+\beta q^{3}-28q^{4}+3\beta q^{5}-2\beta q^{6}+\cdots\)
49.6.a.e 49.a 1.a $2$ $7.859$ \(\Q(\sqrt{37}) \) None 7.6.c.a \(2\) \(8\) \(38\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+(4+\beta )q^{3}+(6+2\beta )q^{4}+\cdots\)
49.6.a.f 49.a 1.a $2$ $7.859$ \(\Q(\sqrt{57}) \) None 7.6.a.b \(9\) \(6\) \(18\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+(5-\beta )q^{2}+(6-6\beta )q^{3}+(7-9\beta )q^{4}+\cdots\)
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