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 (13 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.a	\(1\)	\(63.888\)	\(\Q\)	None	\(-2\)	\(0\)	\(-3\)	\(-1\)		\(-\)	\(+\)	\(+\)	\(q-2q^{2}+2q^{4}-3q^{5}-q^{7}+6q^{10}+\cdots\)
8001.2.a.b	\(1\)	\(63.888\)	\(\Q\)	None	\(-2\)	\(0\)	\(-1\)	\(-1\)		\(+\)	\(+\)	\(-\)	\(q-2q^{2}+2q^{4}-q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.c	\(1\)	\(63.888\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(1\)		\(-\)	\(-\)	\(-\)	\(q-2q^{4}-3q^{5}+q^{7}-6q^{11}-q^{13}+\cdots\)
8001.2.a.g	\(1\)	\(63.888\)	\(\Q\)	None	\(2\)	\(0\)	\(1\)	\(-1\)		\(+\)	\(+\)	\(-\)	\(q+2q^{2}+2q^{4}+q^{5}-q^{7}+2q^{10}+\cdots\)
8001.2.a.k	\(2\)	\(63.888\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(0\)	\(0\)	\(2\)		\(-\)	\(-\)	\(-\)	\(q+\beta q^{2}+4q^{4}+\beta q^{5}+q^{7}+2\beta q^{8}+\cdots\)
8001.2.a.n	\(12\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(7\)	\(0\)	\(7\)	\(12\)		\(-\)	\(-\)	\(-\)	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
8001.2.a.p	\(14\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	\(5\)	\(0\)	\(4\)	\(-14\)		\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-q^{7}+\cdots\)
8001.2.a.s	\(16\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(-4\)	\(0\)	\(-5\)	\(-16\)		\(-\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-q^{7}+\cdots\)
8001.2.a.t	\(16\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	\(2\)	\(0\)	\(9\)	\(-16\)		\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{11})q^{5}+\cdots\)
8001.2.a.u	\(18\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	\(6\)	\(0\)	\(10\)	\(18\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{12})q^{5}+\cdots\)
8001.2.a.v	\(19\)	\(63.888\)	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	\(-4\)	\(0\)	\(-5\)	\(19\)		\(-\)	\(-\)	\(-\)	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+q^{7}+\cdots\)
8001.2.a.y	\(28\)	\(63.888\)		None	\(0\)	\(0\)	\(0\)	\(-28\)		\(+\)	\(+\)	\(-\)
8001.2.a.ba	\(40\)	\(63.888\)		None	\(0\)	\(0\)	\(0\)	\(40\)		\(+\)	\(-\)	\(+\)