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 (11 matches)

 

Label	Dim.	\(A\)	Field	CM	Traces					A-L signs		$q$-expansion
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	19
1216.2.a.a	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-3\)	\(0\)	\(-1\)		\(-\)	\(-\)	\(q-3q^{3}-q^{7}+6q^{9}-2q^{11}+q^{13}+\cdots\)
1216.2.a.b	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-2\)	\(-3\)	\(1\)		\(-\)	\(-\)	\(q-2q^{3}-3q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
1216.2.a.e	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-1\)		\(+\)	\(+\)	\(q-q^{3}-q^{7}-2q^{9}+6q^{11}-5q^{13}+\cdots\)
1216.2.a.f	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(3\)		\(+\)	\(+\)	\(q-q^{3}+3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots\)
1216.2.a.i	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(5\)		\(-\)	\(-\)	\(q-3q^{5}+5q^{7}-3q^{9}-5q^{11}+4q^{13}+\cdots\)
1216.2.a.j	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-1\)		\(+\)	\(+\)	\(q+q^{5}-q^{7}-3q^{9}-3q^{11}+4q^{13}+\cdots\)
1216.2.a.l	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-3\)		\(-\)	\(-\)	\(q+q^{3}-3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots\)
1216.2.a.m	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(1\)		\(-\)	\(-\)	\(q+q^{3}+q^{7}-2q^{9}-6q^{11}-5q^{13}+\cdots\)
1216.2.a.o	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(2\)	\(-3\)	\(-1\)		\(+\)	\(+\)	\(q+2q^{3}-3q^{5}-q^{7}+q^{9}-3q^{11}+\cdots\)
1216.2.a.t	\(2\)	\(9.710\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(1\)	\(1\)	\(-6\)		\(-\)	\(-\)	\(q+\beta q^{3}+(1-\beta )q^{5}-3q^{7}+(1+\beta )q^{9}+\cdots\)
1216.2.a.w	\(4\)	\(9.710\)	4.4.15317.1	None	\(0\)	\(-2\)	\(-1\)	\(-1\)		\(+\)	\(+\)	\(q+(-1-\beta _{2})q^{3}+\beta _{1}q^{5}+(\beta _{2}-\beta _{3})q^{7}+\cdots\)