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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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1232.2.a.i	$1232$	$2$	1232.a	1.a	$1$	$1$	$1$	$9.838$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}-q^{15}+\cdots\)
1232.2.a.q	$1232$	$2$	1232.a	1.a	$1$	$3$	$3$	$9.838$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(-3\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1})q^{9}+\cdots\)

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