Newform search results

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

Results (9 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13	17
2873.2.a.a	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}-2q^{5}-2q^{6}-2q^{7}+\cdots\)
2873.2.a.b	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
2873.2.a.c	$2873$	$2$	2873.a	1.a	$1$	$1$	$1$	$22.941$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-4q^{7}-3q^{8}-3q^{9}+\cdots\)
2873.2.a.f	$2873$	$2$	2873.a	1.a	$1$	$2$	$2$	$22.941$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1-\beta )q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
2873.2.a.i	$2873$	$2$	2873.a	1.a	$1$	$2$	$2$	$22.941$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(1\)	\(1\)	\(2\)	\(5\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+(3+\beta )q^{4}+q^{5}+\cdots\)
2873.2.a.k	$2873$	$2$	2873.a	1.a	$1$	$3$	$3$	$22.941$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(9\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2873.2.a.s	$2873$	$2$	2873.a	1.a	$1$	$11$	$11$	$22.941$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(-1\)	\(1\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
2873.2.a.t	$2873$	$2$	2873.a	1.a	$1$	$11$	$11$	$22.941$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(1\)	\(-1\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{9}q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
2873.2.a.z	$2873$	$2$	2873.a	1.a	$1$	$24$	$24$	$22.941$		None	✓	$1$	$0$	\(5\)	\(1\)	\(11\)	\(33\)		$+$	$-$	$-$		$\mathrm{SU}(2)$