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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	19	47	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8037.2.a.g	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.2777.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{3})q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
8037.2.a.h	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.1957.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1+\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)

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