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:

Sort order

Results (displaying both matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	11
33.6.a.b	\(1\)	\(5.293\)	\(\Q\)	None	\(1\)	\(9\)	\(-92\)	\(-26\)		\(-\)	\(-\)	\(q+q^{2}+9q^{3}-31q^{4}-92q^{5}+9q^{6}+\cdots\)
33.6.a.c	\(2\)	\(5.293\)	\(\Q(\sqrt{177}) \)	None	\(-5\)	\(-18\)	\(58\)	\(-286\)		\(+\)	\(+\)	\(q+(-2-\beta )q^{2}-9q^{3}+(2^{4}+5\beta )q^{4}+\cdots\)