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 (12 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		7	41
2009.2.a.a	\(2\)	\(16.042\)	\(\Q(\sqrt{5}) \)	None	\(-1\)	\(1\)	\(-1\)	\(0\)		\(-\)	\(-\)	\(q-\beta q^{2}+(1-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
2009.2.a.c	\(2\)	\(16.042\)	\(\Q(\sqrt{13}) \)	None	\(0\)	\(-1\)	\(1\)	\(0\)		\(-\)	\(-\)	\(q-\beta q^{3}-2q^{4}+(1-\beta )q^{5}+\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
2009.2.a.d	\(2\)	\(16.042\)	\(\Q(\sqrt{13}) \)	None	\(0\)	\(1\)	\(-1\)	\(0\)		\(+\)	\(+\)	\(q+\beta q^{3}-2q^{4}+(-1+\beta )q^{5}+\beta q^{9}+\cdots\)
2009.2.a.e	\(2\)	\(16.042\)	\(\Q(\sqrt{5}) \)	None	\(1\)	\(-2\)	\(2\)	\(0\)		\(-\)	\(-\)	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
2009.2.a.f	\(2\)	\(16.042\)	\(\Q(\sqrt{5}) \)	None	\(1\)	\(2\)	\(-2\)	\(0\)		\(+\)	\(+\)	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots\)
2009.2.a.i	\(3\)	\(16.042\)	3.3.257.1	None	\(0\)	\(3\)	\(0\)	\(0\)		\(-\)	\(-\)	\(q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2009.2.a.j	\(3\)	\(16.042\)	3.3.257.1	None	\(1\)	\(1\)	\(-6\)	\(0\)		\(-\)	\(-\)	\(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.l	\(5\)	\(16.042\)	5.5.233489.1	None	\(-2\)	\(-2\)	\(2\)	\(0\)		\(+\)	\(+\)	\(q-\beta _{2}q^{2}-\beta _{3}q^{3}+(1+\beta _{1})q^{4}+\beta _{3}q^{5}+\cdots\)
2009.2.a.m	\(5\)	\(16.042\)	5.5.233489.1	None	\(-2\)	\(2\)	\(-2\)	\(0\)		\(-\)	\(-\)	\(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots\)
2009.2.a.n	\(5\)	\(16.042\)	5.5.633117.1	None	\(-1\)	\(-4\)	\(5\)	\(0\)		\(-\)	\(-\)	\(q-\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2009.2.a.p	\(7\)	\(16.042\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(-1\)	\(-7\)	\(-4\)	\(0\)		\(-\)	\(-\)	\(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
2009.2.a.t	\(20\)	\(16.042\)	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	\(-2\)	\(-8\)	\(-8\)	\(0\)		\(+\)	\(+\)	\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{18}q^{5}+\cdots\)