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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	503	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6036.2.a.e	$6036$	$2$	6036.a	1.a	$1$	$1$	$1$	$48.198$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
6036.2.a.g	$6036$	$2$	6036.a	1.a	$1$	$15$	$15$	$48.198$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(15\)	\(-11\)	\(-4\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1})q^{5}-\beta _{8}q^{7}+q^{9}+\cdots\)

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