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	3	7
294.4.a.a	\(1\)	\(17.347\)	\(\Q\)	None	\(-2\)	\(-3\)	\(-15\)	\(0\)		\(+\)	\(+\)	\(+\)	\(q-2q^{2}-3q^{3}+4q^{4}-15q^{5}+6q^{6}+\cdots\)
294.4.a.j	\(2\)	\(17.347\)	\(\Q(\sqrt{2}) \)	None	\(-4\)	\(-6\)	\(12\)	\(0\)		\(+\)	\(+\)	\(+\)	\(q-2q^{2}-3q^{3}+4q^{4}+(6+\beta )q^{5}+6q^{6}+\cdots\)