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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9405.2.a.b	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{10}-q^{11}+\cdots\)
9405.2.a.bo	$9405$	$2$	9405.a	1.a	$1$	$10$	$10$	$75.099$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(10\)	\(-8\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(-1+\beta _{8}+\cdots)q^{7}+\cdots\)

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