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
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Results (displaying both matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		23	29
667.2.a.c	\(13\)	\(5.326\)	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	\(4\)	\(3\)	\(16\)	\(1\)		\(+\)	\(-\)	\(q+\beta _{1}q^{2}-\beta _{12}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
667.2.a.d	\(16\)	\(5.326\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(3\)	\(5\)	\(16\)	\(1\)		\(-\)	\(+\)	\(q+\beta _{1}q^{2}+\beta _{11}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)