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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	3	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1872.4.a.bn	$1872$	$4$	1872.a	1.a	$1$	$4$	$4$	$110.452$	4.4.6390848.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-8\)	\(-24\)		$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{5}+(-6-\beta _{2})q^{7}+(2^{4}+\cdots)q^{11}+\cdots\)
1872.4.a.bq	$1872$	$4$	1872.a	1.a	$1$	$4$	$4$	$110.452$	4.4.6390848.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(8\)	\(-24\)		$+$	$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{5}+(-6-\beta _{2})q^{7}+(-2^{4}+\cdots)q^{11}+\cdots\)

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