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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
135.4.a.d	$135$	$4$	135.a	1.a	$1$	$1$	$1$	$7.965$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-4q^{4}-5q^{5}-24q^{8}-10q^{10}+\cdots\)
135.4.a.e	$135$	$4$	135.a	1.a	$1$	$3$	$3$	$7.965$	3.3.1772.1	None	✓	$1$	$1$	\(-5\)	\(0\)	\(-15\)	\(-4\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(7-3\beta _{1}+\beta _{2})q^{4}+\cdots\)

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