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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
48.22.a.h	$48$	$22$	48.a	1.a	$1$	$2$	$2$	$134.149$	\(\Q(\sqrt{537541}) \)	None	✓	$1$	$1$	\(0\)	\(-118098\)	\(21948620\)	\(659451408\)		$+$	$+$	$+$	$2^{7}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(10974310-5\beta )q^{5}+(329725704+\cdots)q^{7}+\cdots\)
48.22.a.j	$48$	$22$	48.a	1.a	$1$	$3$	$3$	$134.149$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-177147\)	\(5280498\)	\(-852542376\)		$+$	$+$	$+$	$2^{21}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(1760166-\beta _{1})q^{5}+(-284180792+\cdots)q^{7}+\cdots\)

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