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
					\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)		2	19
1216.2.a.c	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-2\)	\(1\)	\(-3\)		\(+\)	\(-\)	\(q-2q^{3}+q^{5}-3q^{7}+q^{9}-5q^{11}+\cdots\)
1216.2.a.d	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-2\)	\(1\)	\(3\)		\(-\)	\(+\)	\(q-2q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}+\cdots\)
1216.2.a.g	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(-1\)	\(4\)	\(-3\)		\(-\)	\(+\)	\(q-q^{3}+4q^{5}-3q^{7}-2q^{9}+2q^{11}+\cdots\)
1216.2.a.h	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(-5\)		\(-\)	\(+\)	\(q-3q^{5}-5q^{7}-3q^{9}+5q^{11}+4q^{13}+\cdots\)
1216.2.a.k	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(1\)		\(+\)	\(-\)	\(q+q^{5}+q^{7}-3q^{9}+3q^{11}+4q^{13}+\cdots\)
1216.2.a.n	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(1\)	\(4\)	\(3\)		\(+\)	\(-\)	\(q+q^{3}+4q^{5}+3q^{7}-2q^{9}-2q^{11}+\cdots\)
1216.2.a.p	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(2\)	\(1\)	\(-3\)		\(+\)	\(-\)	\(q+2q^{3}+q^{5}-3q^{7}+q^{9}+3q^{11}+\cdots\)
1216.2.a.q	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(2\)	\(1\)	\(3\)		\(-\)	\(+\)	\(q+2q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}+\cdots\)
1216.2.a.r	\(1\)	\(9.710\)	\(\Q\)	None	\(0\)	\(3\)	\(0\)	\(1\)		\(-\)	\(+\)	\(q+3q^{3}+q^{7}+6q^{9}+2q^{11}+q^{13}+\cdots\)
1216.2.a.s	\(2\)	\(9.710\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(-1\)	\(1\)	\(6\)		\(-\)	\(+\)	\(q-\beta q^{3}+(1-\beta )q^{5}+3q^{7}+(1+\beta )q^{9}+\cdots\)
1216.2.a.u	\(3\)	\(9.710\)	3.3.961.1	None	\(0\)	\(-1\)	\(-1\)	\(4\)		\(+\)	\(-\)	\(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
1216.2.a.v	\(3\)	\(9.710\)	3.3.961.1	None	\(0\)	\(1\)	\(-1\)	\(-4\)		\(-\)	\(+\)	\(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
1216.2.a.x	\(4\)	\(9.710\)	4.4.15317.1	None	\(0\)	\(2\)	\(-1\)	\(1\)		\(+\)	\(-\)	\(q+(1+\beta _{2})q^{3}+(-\beta _{1}+\beta _{2})q^{5}-\beta _{3}q^{7}+\cdots\)