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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
2013.1.bm.a	$2013$	$1$	2013.bm	2013.am	$10$	$4$	$1$	$1.005$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-183}) \)	None		$4$	$0$	\(-3\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+(-1+\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots\)
2013.1.bm.b	$2013$	$1$	2013.bm	2013.am	$10$	$4$	$1$	$1.005$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-183}) \)	None		$4$	$0$	\(3\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+(1-\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots\)

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