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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	23	29
2001.2.a.c	\(1\)	\(15.978\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(+\)	\(q+q^{3}-2q^{4}+q^{9}-4q^{11}-2q^{12}+\cdots\)
2001.2.a.i	\(7\)	\(15.978\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(-3\)	\(7\)	\(-3\)	\(-5\)		\(-\)	\(-\)	\(+\)	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)