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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	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3042.2.a.t	$3042$	$2$	3042.a	1.a	$1$	$2$	$2$	$24.290$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(6\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+q^{16}+\cdots\)
3042.2.a.bc	$3042$	$2$	3042.a	1.a	$1$	$3$	$3$	$24.290$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(1\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+\beta _{1}q^{5}+(2\beta _{1}+\beta _{2})q^{7}+\cdots\)

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