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 (16 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.g	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-2q^{3}+q^{9}-q^{11}-3q^{13}-2q^{17}+\cdots\)
9800.2.a.i	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-2q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{19}+\cdots\)
9800.2.a.l	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-2q^{3}+q^{9}+5q^{11}-8q^{17}+2q^{19}+\cdots\)
9800.2.a.m	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-q^{3}-2q^{9}-5q^{11}-7q^{13}+3q^{17}+\cdots\)
9800.2.a.u	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-3q^{9}-4q^{11}+2q^{13}-6q^{17}-8q^{19}+\cdots\)
9800.2.a.y	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+q^{3}-2q^{9}-5q^{11}+7q^{13}-3q^{17}+\cdots\)
9800.2.a.ba	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+q^{3}-2q^{9}-q^{11}-6q^{13}+7q^{17}+\cdots\)
9800.2.a.bc	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+q^{3}-2q^{9}+2q^{11}+4q^{17}+2q^{19}+\cdots\)
9800.2.a.bn	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+2q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{19}+\cdots\)
9800.2.a.bp	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(3\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+3q^{3}+6q^{9}-q^{11}+2q^{13}+3q^{17}+\cdots\)
9800.2.a.br	\(2\)	\(78.253\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+(-1+\beta )q^{3}-2\beta q^{9}+(-2+2\beta )q^{11}+\cdots\)
9800.2.a.bu	\(2\)	\(78.253\)	\(\Q(\sqrt{33}) \)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q-\beta q^{3}+(5+\beta )q^{9}+(4-\beta )q^{11}+(2+\cdots)q^{13}+\cdots\)
9800.2.a.bx	\(2\)	\(78.253\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+\beta q^{3}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots\)
9800.2.a.by	\(2\)	\(78.253\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+\beta q^{3}+(1+\beta )q^{9}-\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
9800.2.a.ck	\(4\)	\(78.253\)	4.4.43449.1	None	\(0\)	\(-3\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+(-1+\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{9}+\cdots\)
9800.2.a.cr	\(4\)	\(78.253\)	\(\Q(\sqrt{7}, \sqrt{15})\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(+\)	\(+\)	\(-\)	\(q+\beta _{2}q^{3}+(2-\beta _{3})q^{9}+q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)