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	11	13
6864.2.a.ca	\(4\)	\(54.809\)	4.4.70164.1	None	\(0\)	\(4\)	\(1\)	\(1\)		\(+\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}+\beta _{1}q^{5}+(1+\beta _{2}-\beta _{3})q^{7}+q^{9}+\cdots\)
6864.2.a.cc	\(4\)	\(54.809\)	4.4.23252.1	None	\(0\)	\(4\)	\(4\)	\(-2\)		\(+\)	\(-\)	\(+\)	\(+\)	\(q+q^{3}+(1+\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}-q^{11}+\cdots\)