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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1043.1.c.a	$1043$	$1$	1043.c	1043.c	$2$	$1$	$1$	$0.521$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1043}) \)	\(\Q(\sqrt{149}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-q^{9}+q^{16}+q^{25}+q^{28}+\cdots\)
1043.1.c.b	$1043$	$1$	1043.c	1043.c	$2$	$2$	$2$	$0.521$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1043}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{3}+q^{4}-q^{7}+q^{9}-\beta q^{12}+\beta q^{13}+\cdots\)