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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		7	41
2009.2.a.s	\(17\)	\(16.042\)	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	\(3\)	\(1\)	\(-1\)	\(0\)		\(+\)	\(-\)	\(q+\beta _{1}q^{2}-\beta _{12}q^{3}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}+\cdots\)
2009.2.a.u	\(20\)	\(16.042\)	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	\(-2\)	\(8\)	\(8\)	\(0\)		\(+\)	\(-\)	\(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+\beta _{18}q^{5}+\cdots\)