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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	5	7
3920.2.a.by	\(2\)	\(31.301\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(2\)	\(2\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
3920.2.a.bz	\(2\)	\(31.301\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(2\)	\(2\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+(2+2\beta )q^{11}+\cdots\)
3920.2.a.cc	\(3\)	\(31.301\)	3.3.1944.1	None	\(0\)	\(0\)	\(3\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q+\beta _{1}q^{3}+q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3920.2.a.cd	\(4\)	\(31.301\)	4.4.16448.2	None	\(0\)	\(-2\)	\(4\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-\beta _{1}q^{3}+q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)