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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	7	41
574.2.a.i	\(1\)	\(4.583\)	\(\Q\)	None	\(1\)	\(-1\)	\(1\)	\(1\)		\(-\)	\(-\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
574.2.a.k	\(2\)	\(4.583\)	\(\Q(\sqrt{3}) \)	None	\(2\)	\(4\)	\(2\)	\(2\)		\(-\)	\(-\)	\(-\)	\(q+q^{2}+2q^{3}+q^{4}+(1+\beta )q^{5}+2q^{6}+\cdots\)