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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
548.1.d.a	$548$	$1$	548.d	548.d	$2$	$1$	$1$	$0.273$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-137}) \)	\(\Q(\sqrt{137}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}-2q^{17}+\cdots\)
548.1.d.b	$548$	$1$	548.d	548.d	$2$	$2$	$2$	$0.273$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-137}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-q^{8}+q^{9}+\cdots\)
2192.1.f.a	$2192$	$1$	2192.f	548.d	$2$	$4$	$4$	$1.094$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-137}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+(1+\beta _{2})q^{9}-\beta _{2}q^{17}+\beta _{3}q^{23}+\cdots\)