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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
735.4.a.r	$735$	$4$	735.a	1.a	$1$	$3$	$3$	$43.366$	3.3.4892.1	None	✓	$1$	$1$	\(3\)	\(-9\)	\(15\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.t	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	4.4.51264.1	None	✓	$1$	$1$	\(-6\)	\(-12\)	\(20\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1}+\beta _{2})q^{2}-3q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)

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