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 (4 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs				$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	3	11	13
6864.2.a.u	\(1\)	\(54.809\)	\(\Q\)	None	\(0\)	\(1\)	\(-1\)	\(3\)		\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}-q^{5}+3q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.z	\(1\)	\(54.809\)	\(\Q\)	None	\(0\)	\(1\)	\(2\)	\(0\)		\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}+2q^{5}+q^{9}-q^{11}-q^{13}+2q^{15}+\cdots\)
6864.2.a.bi	\(2\)	\(54.809\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(-2\)	\(0\)		\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}+(-1+\beta )q^{5}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.bu	\(3\)	\(54.809\)	3.3.564.1	None	\(0\)	\(3\)	\(-2\)	\(-2\)		\(-\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)