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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
21.4.a.a	$21$	$4$	21.a	1.a	$1$	$1$	$1$	$1.239$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-18\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}-18q^{5}+9q^{6}+\cdots\)
21.4.a.b	$21$	$4$	21.a	1.a	$1$	$1$	$1$	$1.239$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(-3\)	\(-4\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-3q^{3}+8q^{4}-4q^{5}-12q^{6}+\cdots\)

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