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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	19
38.6.a.c	\(2\)	\(6.095\)	\(\Q(\sqrt{1441}) \)	None	\(-8\)	\(3\)	\(-45\)	\(114\)		\(+\)	\(-\)	\(q-4q^{2}+(2-\beta )q^{3}+2^{4}q^{4}+(-21+\cdots)q^{5}+\cdots\)
38.6.a.d	\(3\)	\(6.095\)	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	\(12\)	\(13\)	\(81\)	\(228\)		\(-\)	\(+\)	\(q+4q^{2}+(4+\beta _{1})q^{3}+2^{4}q^{4}+(3^{3}-\beta _{1}+\cdots)q^{5}+\cdots\)