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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		37	109	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4033.2.a.a	$4033$	$2$	4033.a	1.a	$1$	$1$	$1$	$32.204$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{5}+3q^{8}-3q^{9}-2q^{10}+\cdots\)
4033.2.a.d	$4033$	$2$	4033.a	1.a	$1$	$79$	$79$	$32.204$		None	✓	$1$	$1$	\(-11\)	\(-11\)	\(-16\)	\(-15\)		$+$	$+$	$+$		$\mathrm{SU}(2)$

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