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 (9 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs				$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	3	5	23
690.2.a.b	\(1\)	\(5.510\)	\(\Q\)	None	\(-1\)	\(-1\)	\(-1\)	\(4\)		\(+\)	\(+\)	\(+\)	\(-\)	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots\)
690.2.a.c	\(1\)	\(5.510\)	\(\Q\)	None	\(-1\)	\(-1\)	\(1\)	\(-2\)		\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
690.2.a.d	\(1\)	\(5.510\)	\(\Q\)	None	\(-1\)	\(-1\)	\(1\)	\(4\)		\(+\)	\(+\)	\(-\)	\(+\)	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots\)
690.2.a.f	\(1\)	\(5.510\)	\(\Q\)	None	\(-1\)	\(1\)	\(1\)	\(0\)		\(+\)	\(-\)	\(-\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
690.2.a.h	\(1\)	\(5.510\)	\(\Q\)	None	\(1\)	\(-1\)	\(-1\)	\(0\)		\(-\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
690.2.a.i	\(1\)	\(5.510\)	\(\Q\)	None	\(1\)	\(1\)	\(-1\)	\(0\)		\(-\)	\(-\)	\(+\)	\(-\)	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
690.2.a.j	\(1\)	\(5.510\)	\(\Q\)	None	\(1\)	\(1\)	\(1\)	\(0\)		\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
690.2.a.k	\(1\)	\(5.510\)	\(\Q\)	None	\(1\)	\(1\)	\(1\)	\(0\)		\(-\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots\)
690.2.a.l	\(2\)	\(5.510\)	\(\Q(\sqrt{17}) \)	None	\(2\)	\(-2\)	\(2\)	\(-2\)		\(-\)	\(+\)	\(-\)	\(-\)	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)