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 (5 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	5	7
2450.2.a.e	\(1\)	\(19.563\)	\(\Q\)	None	\(-1\)	\(-2\)	\(0\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.k	\(1\)	\(19.563\)	\(\Q\)	None	\(-1\)	\(0\)	\(0\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}+5q^{13}+\cdots\)
2450.2.a.r	\(1\)	\(19.563\)	\(\Q\)	None	\(-1\)	\(3\)	\(0\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.bi	\(2\)	\(19.563\)	\(\Q(\sqrt{2}) \)	None	\(-2\)	\(0\)	\(0\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-q^{2}+q^{4}-q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
2450.2.a.bt	\(4\)	\(19.563\)	\(\Q(\sqrt{2}, \sqrt{11})\)	None	\(-4\)	\(0\)	\(0\)	\(0\)		\(+\)	\(-\)	\(+\)	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)