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 (8 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	5	7
3920.2.a.f	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(-2\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q-2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3920.2.a.i	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(-2\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q-2q^{3}+q^{5}+q^{9}+q^{11}+3q^{13}+\cdots\)
3920.2.a.q	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(-1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q-q^{3}+q^{5}-2q^{9}+2q^{11}-4q^{13}+\cdots\)
3920.2.a.r	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(-1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots\)
3920.2.a.x	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q+q^{3}+q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.y	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q+q^{3}+q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots\)
3920.2.a.bb	\(1\)	\(31.301\)	\(\Q\)	None	\(0\)	\(1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q+q^{3}+q^{5}-2q^{9}+5q^{11}-7q^{13}+\cdots\)
3920.2.a.bt	\(2\)	\(31.301\)	\(\Q(\sqrt{33}) \)	None	\(0\)	\(-1\)	\(2\)	\(0\)		\(+\)	\(-\)	\(-\)	\(q-\beta q^{3}+q^{5}+(5+\beta )q^{9}+(-4+\beta )q^{11}+\cdots\)