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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		229	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
229.2.a.a	$229$	$2$	229.a	1.a	$1$	$1$	$1$	$1.829$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(2\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-3q^{5}-q^{6}+2q^{7}+\cdots\)
229.2.a.b	$229$	$2$	229.a	1.a	$1$	$6$	$6$	$1.829$	6.6.1868969.1	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(-3\)	\(-5\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{5})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)

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