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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	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2850.2.a.bi	$2850$	$2$	2850.a	1.a	$1$	$2$	$2$	$22.757$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+(1+\beta )q^{7}+\cdots\)
2850.2.a.bn	$2850$	$2$	2850.a	1.a	$1$	$3$	$3$	$22.757$	3.3.148.1	None	✓	$1$	$0$	\(3\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}+\beta _{2}q^{7}+q^{8}+\cdots\)

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