Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	13
9464.2.a.b	$9464$	$2$	9464.a	1.a	$1$	$1$	$1$	$75.570$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}-2q^{9}-3q^{11}+4q^{17}+\cdots\)
9464.2.a.e	$9464$	$2$	9464.a	1.a	$1$	$1$	$1$	$75.570$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-3q^{5}-q^{7}+q^{9}-6q^{15}+\cdots\)
9464.2.a.h	$9464$	$2$	9464.a	1.a	$1$	$1$	$1$	$75.570$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+4q^{5}-q^{7}+q^{9}+8q^{15}+\cdots\)
9464.2.a.k	$9464$	$2$	9464.a	1.a	$1$	$2$	$2$	$75.570$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(2\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(1-\beta )q^{5}-q^{7}+(3+\cdots)q^{9}+\cdots\)
9464.2.a.l	$9464$	$2$	9464.a	1.a	$1$	$2$	$2$	$75.570$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$2$	\(0\)	\(-2\)	\(-4\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-2-\beta )q^{5}-q^{7}+\cdots\)
9464.2.a.bc	$9464$	$2$	9464.a	1.a	$1$	$4$	$4$	$75.570$	4.4.21801.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(5\)	\(-4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{5}-q^{7}+(2+\cdots)q^{9}+\cdots\)
9464.2.a.bi	$9464$	$2$	9464.a	1.a	$1$	$7$	$7$	$75.570$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(-7\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}-q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
9464.2.a.bk	$9464$	$2$	9464.a	1.a	$1$	$12$	$12$	$75.570$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(4\)	\(-12\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{7}q^{5}-q^{7}+(\beta _{5}+\beta _{6})q^{9}+\cdots\)