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 (displaying both 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.e	\(2\)	\(11.564\)	\(\Q(\sqrt{37}) \)	None	\(0\)	\(0\)	\(-14\)	\(0\)		\(-\)	\(+\)	\(q-\beta q^{3}+(-7+2\beta )q^{5}+10q^{9}+(2^{4}+\cdots)q^{11}+\cdots\)
196.4.a.f	\(2\)	\(11.564\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)	\(q+\beta q^{3}-2\beta q^{5}-5^{2}q^{9}-26q^{11}+\cdots\)