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	5	7
525.2.a.a	\(1\)	\(4.192\)	\(\Q\)	None	\(-1\)	\(-1\)	\(0\)	\(-1\)		\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}-q^{4}+q^{6}-q^{7}+3q^{8}+\cdots\)
525.2.a.f	\(2\)	\(4.192\)	\(\Q(\sqrt{13}) \)	None	\(-1\)	\(-2\)	\(0\)	\(-2\)		\(+\)	\(+\)	\(+\)	\(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+\beta q^{6}-q^{7}+\cdots\)