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 (6 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs	$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		43
1849.4.a.a	\(1\)	\(109.095\)	\(\Q\)	\(\Q(\sqrt{-43}) \)	\(0\)	\(0\)	\(0\)	\(0\)		\(+\)	\(q-8q^{4}-3^{3}q^{9}+2^{5}q^{11}-90q^{13}+\cdots\)
1849.4.a.d	\(10\)	\(109.095\)	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	\(-1\)	\(5\)	\(19\)	\(51\)		\(+\)	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(4+\beta _{2})q^{4}+(2-\beta _{7}+\cdots)q^{5}+\cdots\)
1849.4.a.e	\(10\)	\(109.095\)	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(+\)	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(5+\beta _{7}+\beta _{9})q^{4}+\cdots\)
1849.4.a.h	\(30\)	\(109.095\)		None	\(6\)	\(2\)	\(27\)	\(48\)		\(+\)
1849.4.a.l	\(60\)	\(109.095\)		None	\(15\)	\(37\)	\(51\)	\(54\)		\(+\)
1849.4.a.m	\(110\)	\(109.095\)		None	\(0\)	\(0\)	\(0\)	\(0\)		\(+\)