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 (14 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		3	7	127
8001.2.a.d	\(1\)	\(63.888\)	\(\Q\)	None	\(1\)	\(0\)	\(-4\)	\(-1\)		\(-\)	\(+\)	\(-\)	\(q+q^{2}-q^{4}-4q^{5}-q^{7}-3q^{8}-4q^{10}+\cdots\)
8001.2.a.e	\(1\)	\(63.888\)	\(\Q\)	None	\(1\)	\(0\)	\(0\)	\(1\)		\(-\)	\(-\)	\(+\)	\(q+q^{2}-q^{4}+q^{7}-3q^{8}+2q^{13}+q^{14}+\cdots\)
8001.2.a.f	\(1\)	\(63.888\)	\(\Q\)	None	\(2\)	\(0\)	\(0\)	\(-1\)		\(-\)	\(+\)	\(-\)	\(q+2q^{2}+2q^{4}-q^{7}+2q^{13}-2q^{14}+\cdots\)
8001.2.a.h	\(2\)	\(63.888\)	\(\Q(\sqrt{17}) \)	None	\(-1\)	\(0\)	\(-3\)	\(-2\)		\(-\)	\(+\)	\(-\)	\(q-\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}-q^{7}+\cdots\)
8001.2.a.i	\(2\)	\(63.888\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(0\)	\(3\)	\(-2\)		\(-\)	\(+\)	\(-\)	\(q-2q^{4}+(1+\beta )q^{5}-q^{7}+(2-2\beta )q^{11}+\cdots\)
8001.2.a.j	\(2\)	\(63.888\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(0\)	\(2\)		\(-\)	\(-\)	\(+\)	\(q+\beta q^{2}-\beta q^{5}+q^{7}-2\beta q^{8}-2q^{10}+\cdots\)
8001.2.a.l	\(7\)	\(63.888\)	7.7.118870813.1	None	\(2\)	\(0\)	\(8\)	\(7\)		\(-\)	\(-\)	\(+\)	\(q-\beta _{4}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
8001.2.a.m	\(11\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	\(2\)	\(0\)	\(-1\)	\(-11\)		\(-\)	\(+\)	\(-\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.o	\(13\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	\(-4\)	\(0\)	\(-12\)	\(13\)		\(-\)	\(-\)	\(+\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{10}+\cdots)q^{5}+\cdots\)
8001.2.a.q	\(15\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	\(0\)	\(0\)	\(-7\)	\(-15\)		\(-\)	\(+\)	\(-\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}-q^{7}+\cdots\)
8001.2.a.r	\(16\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(-5\)	\(0\)	\(1\)	\(-16\)		\(-\)	\(+\)	\(-\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}-q^{7}+\cdots\)
8001.2.a.w	\(20\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	\(-8\)	\(0\)	\(-3\)	\(20\)		\(-\)	\(-\)	\(+\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{16}q^{5}+q^{7}+\cdots\)
8001.2.a.x	\(22\)	\(63.888\)		None	\(0\)	\(0\)	\(0\)	\(22\)		\(+\)	\(-\)	\(-\)
8001.2.a.z	\(32\)	\(63.888\)		None	\(0\)	\(0\)	\(0\)	\(-32\)		\(+\)	\(+\)	\(+\)