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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6160.2.a.bg	$6160$	$2$	6160.a	1.a	$1$	$3$	$3$	$49.188$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-3\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}-q^{5}-q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
6160.2.a.bv	$6160$	$2$	6160.a	1.a	$1$	$5$	$5$	$49.188$	5.5.8892720.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-5\)	\(-5\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)

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