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 (4 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	7	127
8001.2.a.a	\(1\)	\(63.888\)	\(\Q\)	None	\(-2\)	\(0\)	\(-3\)	\(-1\)		\(-\)	\(+\)	\(+\)	\(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
8001.2.a.p	\(14\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	\(5\)	\(0\)	\(4\)	\(-14\)		\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-q^{7}+\cdots\)
8001.2.a.s	\(16\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(-4\)	\(0\)	\(-5\)	\(-16\)		\(-\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.t	\(16\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(2\)	\(0\)	\(9\)	\(-16\)		\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{11})q^{5}+\cdots\)