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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	5	67	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8040.2.a.e	$8040$	$2$	8040.a	1.a	$1$	$1$	$1$	$64.200$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
8040.2.a.o	$8040$	$2$	8040.a	1.a	$1$	$5$	$5$	$64.200$	5.5.630757.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(5\)	\(6\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(1-\beta _{3})q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)

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