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	7
196.4.a.a	\(1\)	\(11.564\)	\(\Q\)	None	\(0\)	\(-4\)	\(-20\)	\(0\)		\(-\)	\(-\)	\(q-4q^{3}-20q^{5}-11q^{9}+44q^{11}+\cdots\)
196.4.a.b	\(1\)	\(11.564\)	\(\Q\)	None	\(0\)	\(-4\)	\(-6\)	\(0\)		\(-\)	\(-\)	\(q-4q^{3}-6q^{5}-11q^{9}-12q^{11}+82q^{13}+\cdots\)
196.4.a.c	\(1\)	\(11.564\)	\(\Q\)	None	\(0\)	\(4\)	\(20\)	\(0\)		\(-\)	\(-\)	\(q+4q^{3}+20q^{5}-11q^{9}+44q^{11}+\cdots\)
196.4.a.d	\(1\)	\(11.564\)	\(\Q\)	None	\(0\)	\(10\)	\(8\)	\(0\)		\(-\)	\(-\)	\(q+10q^{3}+8q^{5}+73q^{9}-40q^{11}+\cdots\)
196.4.a.g	\(2\)	\(11.564\)	\(\Q(\sqrt{37}) \)	None	\(0\)	\(0\)	\(14\)	\(0\)		\(-\)	\(-\)	\(q-\beta q^{3}+(7+2\beta )q^{5}+10q^{9}+(2^{4}-7\beta )q^{11}+\cdots\)