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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1039.1.b.a	$1039$	$1$	1039.b	1039.b	$2$	$11$	$11$	$0.519$	\(\Q(\zeta_{46})^+\)	$D_{23}$	\(\Q(\sqrt{-1039}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+(1+\beta _{6})q^{4}+\beta _{2}q^{5}-\beta _{7}q^{7}+\cdots\)