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
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Results (displaying both matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	23	29
2001.2.a.e	\(2\)	\(15.978\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(2\)	\(0\)	\(-4\)		\(-\)	\(+\)	\(-\)	\(q+q^{3}-2q^{4}-\beta q^{5}+(-2+\beta )q^{7}+\cdots\)
2001.2.a.j	\(7\)	\(15.978\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(-1\)	\(7\)	\(-5\)	\(-5\)		\(-\)	\(+\)	\(-\)	\(q-\beta _{3}q^{2}+q^{3}+(1+\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots\)