Newform search results

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

Results (16 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	5	11
9680.2.a.d	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}+q^{9}-2q^{15}+4q^{17}+\cdots\)
9680.2.a.k	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-q^{7}-2q^{9}+4q^{13}-q^{15}+\cdots\)
9680.2.a.l	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{7}-2q^{9}-4q^{13}-q^{15}+\cdots\)
9680.2.a.r	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{9}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
9680.2.a.t	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-3q^{7}-2q^{9}+q^{15}-8q^{17}+\cdots\)
9680.2.a.w	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+3q^{7}-2q^{9}+q^{15}+8q^{17}+\cdots\)
9680.2.a.x	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+3q^{7}-2q^{9}+6q^{13}+\cdots\)
9680.2.a.bb	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-4q^{7}+q^{9}+4q^{13}+\cdots\)
9680.2.a.be	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}-3q^{7}+6q^{9}-4q^{13}+\cdots\)
9680.2.a.bf	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}+3q^{7}+6q^{9}+4q^{13}+\cdots\)
9680.2.a.bt	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}+\beta q^{7}+(5+\beta )q^{9}-2q^{13}+\cdots\)
9680.2.a.ce	$9680$	$2$	9680.a	1.a	$1$	$3$	$3$	$77.295$	3.3.1524.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(2+\beta _{1}+\beta _{2})q^{9}+\cdots\)
9680.2.a.cf	$9680$	$2$	9680.a	1.a	$1$	$3$	$3$	$77.295$	3.3.1524.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}-\beta _{2}q^{7}+(2+\beta _{1}+\beta _{2})q^{9}+\cdots\)
9680.2.a.ci	$9680$	$2$	9680.a	1.a	$1$	$4$	$4$	$77.295$	4.4.5225.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(4\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+q^{5}+(-1-\beta _{1}+\beta _{3})q^{7}+\cdots\)
9680.2.a.co	$9680$	$2$	9680.a	1.a	$1$	$4$	$4$	$77.295$	4.4.2525.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{3}+q^{5}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
9680.2.a.cv	$9680$	$2$	9680.a	1.a	$1$	$4$	$4$	$77.295$	4.4.2525.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(11\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(3+\beta _{2}-\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots\)