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	3	7
588.4.a.g	\(2\)	\(34.693\)	\(\Q(\sqrt{57}) \)	None	\(0\)	\(-6\)	\(-3\)	\(0\)		\(-\)	\(+\)	\(+\)	\(q-3q^{3}+(-2-\beta )q^{5}+9q^{9}+(-26+\cdots)q^{11}+\cdots\)
588.4.a.j	\(4\)	\(34.693\)	4.4.136768.1	None	\(0\)	\(-12\)	\(0\)	\(0\)		\(-\)	\(+\)	\(+\)	\(q-3q^{3}-\beta _{1}q^{5}+9q^{9}+(3\beta _{1}-\beta _{3})q^{11}+\cdots\)