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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
3819.1.eg.a	$3819$	$1$	3819.eg	3819.dg	$198$	$60$	$1$	$1.906$	\(\Q(\zeta_{99})\)	$D_{198}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{198}^{43}q^{3}-\zeta_{198}^{95}q^{4}+(\zeta_{198}^{68}+\cdots)q^{7}+\cdots\)
3819.1.ev.a	$3819$	$1$	3819.ev	3819.dv	$198$	$60$	$1$	$1.906$	\(\Q(\zeta_{99})\)	$D_{198}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{198}^{94}q^{3}+\zeta_{198}^{68}q^{4}+(-\zeta_{198}^{14}+\cdots)q^{7}+\cdots\)

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