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 (8 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	5	7
3675.2.a.l	\(1\)	\(29.345\)	\(\Q\)	None	\(1\)	\(1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
3675.2.a.q	\(1\)	\(29.345\)	\(\Q\)	None	\(2\)	\(1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+q^{9}+2q^{11}+\cdots\)
3675.2.a.r	\(2\)	\(29.345\)	\(\Q(\sqrt{5}) \)	None	\(-3\)	\(2\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
3675.2.a.v	\(2\)	\(29.345\)	\(\Q(\sqrt{5}) \)	None	\(-1\)	\(2\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
3675.2.a.bj	\(3\)	\(29.345\)	3.3.148.1	None	\(1\)	\(3\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.bv	\(4\)	\(29.345\)	4.4.4400.1	None	\(0\)	\(4\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q-\beta _{2}q^{2}+q^{3}+(2-\beta _{3})q^{4}-\beta _{2}q^{6}+\cdots\)
3675.2.a.bx	\(4\)	\(29.345\)	4.4.88404.1	None	\(1\)	\(4\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3675.2.a.cb	\(4\)	\(29.345\)	4.4.11344.1	None	\(2\)	\(4\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+(1-\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)