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 (10 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs			$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	5	7
9800.2.a.p	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q-q^{3}-2q^{9}-q^{11}+q^{13}+3q^{17}+\cdots\)
9800.2.a.q	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q-q^{3}-2q^{9}-q^{11}+6q^{13}-7q^{17}+\cdots\)
9800.2.a.bf	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+2q^{3}+q^{9}-4q^{11}+4q^{13}+4q^{19}+\cdots\)
9800.2.a.bo	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+2q^{3}+q^{9}+5q^{11}+8q^{17}+2q^{19}+\cdots\)
9800.2.a.bt	\(2\)	\(78.253\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q-\beta q^{3}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots\)
9800.2.a.cg	\(3\)	\(78.253\)	3.3.568.1	None	\(0\)	\(1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{3}+(1+2\beta _{1}+\beta _{2})q^{9}+(2-\beta _{2})q^{11}+\cdots\)
9800.2.a.cp	\(4\)	\(78.253\)	4.4.13448.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(2+\beta _{2})q^{11}+\cdots\)
9800.2.a.cq	\(4\)	\(78.253\)	\(\Q(\sqrt{7}, \sqrt{15})\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{2}q^{3}+(2-\beta _{3})q^{9}+q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
9800.2.a.cu	\(4\)	\(78.253\)	4.4.43449.1	None	\(0\)	\(3\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+(1-\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
9800.2.a.cy	\(6\)	\(78.253\)	6.6.239575536.1	None	\(0\)	\(1\)	\(0\)	\(0\)		\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(\beta _{1}+\beta _{5})q^{11}+\cdots\)