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.a	\(10\)	\(5.326\)	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	\(-3\)	\(-9\)	\(-10\)	\(1\)		\(-\)	\(-\)	\(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
667.2.a.b	\(12\)	\(5.326\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(-3\)	\(-3\)	\(-16\)	\(-7\)		\(+\)	\(+\)	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(1-\beta _{4}-\beta _{6}+\beta _{8}+\cdots)q^{4}+\cdots\)