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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2447.1.b.a	$2447$	$1$	2447.b	2447.b	$2$	$18$	$18$	$1.221$	\(\Q(\zeta_{74})^+\)	$D_{37}$	\(\Q(\sqrt{-2447}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\beta _{8}q^{2}+\beta _{10}q^{3}+(1+\beta _{16})q^{4}+(-1+\cdots)q^{6}+\cdots\)