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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	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
3236.1.j.a	$3236$	$1$	3236.j	3236.j	$202$	$100$	$1$	$1.615$	\(\Q(\zeta_{202})\)	$D_{202}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{202}^{89}q^{2}-\zeta_{202}^{77}q^{4}+(\zeta_{202}^{30}+\cdots)q^{5}+\cdots\)
3639.1.n.a	$3639$	$1$	3639.n	3639.n	$202$	$100$	$1$	$1.816$	\(\Q(\zeta_{202})\)	$D_{202}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q+\zeta_{202}^{45}q^{3}-\zeta_{202}^{26}q^{4}+(\zeta_{202}^{17}+\cdots)q^{7}+\cdots\)

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