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 (17 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.a	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-3\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-3q^{3}+6q^{9}-5q^{11}-5q^{13}-7q^{17}+\cdots\)
9800.2.a.c	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-3\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-3q^{3}+6q^{9}+q^{11}+4q^{13}+5q^{17}+\cdots\)
9800.2.a.e	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-2\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-2q^{3}+q^{9}-3q^{11}+2q^{13}-4q^{17}+\cdots\)
9800.2.a.n	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{9}-5q^{11}+q^{13}+3q^{17}+\cdots\)
9800.2.a.o	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{9}-2q^{11}+4q^{13}-6q^{19}+\cdots\)
9800.2.a.s	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{9}+3q^{11}-6q^{13}-5q^{17}+\cdots\)
9800.2.a.t	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-q^{3}-2q^{9}+3q^{11}+q^{13}-5q^{17}+\cdots\)
9800.2.a.v	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-3q^{9}+q^{11}-2q^{13}-4q^{17}+2q^{19}+\cdots\)
9800.2.a.x	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-3q^{9}+4q^{11}-2q^{13}+2q^{17}-4q^{19}+\cdots\)
9800.2.a.bd	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+q^{3}-2q^{9}+3q^{11}-q^{13}+5q^{17}+\cdots\)
9800.2.a.bg	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+2q^{3}+q^{9}-3q^{11}-2q^{13}+4q^{17}+\cdots\)
9800.2.a.bj	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+2q^{3}+q^{9}-2q^{17}+2q^{19}-8q^{23}+\cdots\)
9800.2.a.bk	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+2q^{3}+q^{9}+q^{11}+4q^{13}-6q^{19}+\cdots\)
9800.2.a.bl	\(1\)	\(78.253\)	\(\Q\)	None	\(0\)	\(2\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+2q^{3}+q^{9}+4q^{11}-2q^{13}-3q^{17}+\cdots\)
9800.2.a.bw	\(2\)	\(78.253\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+\beta q^{3}+5q^{9}-4q^{11}-\beta q^{13}-2\beta q^{17}+\cdots\)
9800.2.a.cb	\(3\)	\(78.253\)	\(\Q(\zeta_{18})^+\)	None	\(0\)	\(-3\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{9}+\cdots\)
9800.2.a.cf	\(3\)	\(78.253\)	3.3.1944.1	None	\(0\)	\(0\)	\(0\)	\(0\)		\(-\)	\(+\)	\(-\)	\(q-\beta _{1}q^{3}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)