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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
3027.1.c.a	$3027$	$1$	3027.c	3027.c	$2$	$1$	$1$	$1.511$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3027}) \)	\(\Q(\sqrt{1009}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}+q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
3027.1.c.e	$3027$	$1$	3027.c	3027.c	$2$	$6$	$6$	$1.511$	\(\Q(\zeta_{14})\)	$D_{14}$	None	\(\Q(\sqrt{1009}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q+(\zeta_{14}^{2}+\zeta_{14}^{5})q^{2}-\zeta_{14}^{4}q^{3}+(-1+\cdots)q^{4}+\cdots\)

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