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 (unique match)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	5
40.2.a.a	\(1\)	\(0.319\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-4\)		\(+\)	\(-\)	\(q+q^{5}-4q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)