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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3351.1.d.b	$3351$	$1$	3351.d	3351.d	$2$	$1$	$1$	$1.672$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3351}) \)	\(\Q(\sqrt{1117}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}+2q^{13}+\cdots\)