Newform search results

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twist	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
		Only for weight 1:

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Results (displaying both matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	7
147.4.a.b	\(1\)	\(8.673\)	\(\Q\)	None	\(-3\)	\(3\)	\(-3\)	\(0\)		\(-\)	\(+\)	\(q-3q^{2}+3q^{3}+q^{4}-3q^{5}-9q^{6}+\cdots\)
147.4.a.k	\(2\)	\(8.673\)	\(\Q(\sqrt{2}) \)	None	\(2\)	\(6\)	\(-20\)	\(0\)		\(-\)	\(+\)	\(q+(1+\beta )q^{2}+3q^{3}+(-5+2\beta )q^{4}+\cdots\)