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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
1023.1.u.a	$1023$	$1$	1023.u	1023.u	$6$	$2$	$1$	$0.511$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(-3\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{3}-q^{4}+(-1+\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}+\cdots\)
1023.1.u.b	$1023$	$1$	1023.u	1023.u	$6$	$2$	$1$	$0.511$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(3\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{3}-q^{4}+(1-\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}+\cdots\)

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