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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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Results (3 matches)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
192.4.a.a	$192$	$4$	192.a	1.a	$1$	$1$	$1$	$11.328$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-14\)	\(-24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-14q^{5}-24q^{7}+9q^{9}+28q^{11}+\cdots\)
192.4.a.b	$192$	$4$	192.a	1.a	$1$	$1$	$1$	$11.328$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-10\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-10q^{5}+4q^{7}+9q^{9}+20q^{11}+\cdots\)
192.4.a.f	$192$	$4$	192.a	1.a	$1$	$1$	$1$	$11.328$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(18\)	\(8\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+18q^{5}+8q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)

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