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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	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
232.4.a.a	$232$	$4$	232.a	1.a	$1$	$3$	$3$	$13.688$	3.3.4481.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(11\)	\(-38\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(4+\beta _{1}+\beta _{2})q^{5}+(-13+\cdots)q^{7}+\cdots\)
232.4.a.b	$232$	$4$	232.a	1.a	$1$	$3$	$3$	$13.688$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(4\)	\(16\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-3\beta _{2})q^{3}+(1+3\beta _{1}-4\beta _{2})q^{5}+\cdots\)

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