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	5	7
490.2.a.c	\(1\)	\(3.913\)	\(\Q\)	None	\(-1\)	\(1\)	\(-1\)	\(0\)		\(+\)	\(+\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
490.2.a.l	\(2\)	\(3.913\)	\(\Q(\sqrt{2}) \)	None	\(-2\)	\(-4\)	\(-2\)	\(0\)		\(+\)	\(+\)	\(+\)	\(q-q^{2}+(-2+\beta )q^{3}+q^{4}-q^{5}+(2+\cdots)q^{6}+\cdots\)