Newform search results

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

Results (4 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	3	7
882.4.a.f	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(9\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+9q^{5}-8q^{8}-18q^{10}+\cdots\)
882.4.a.t	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-12\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-6+\beta )q^{5}-8q^{8}+\cdots\)
882.4.a.v	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{1345}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-5\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-2-\beta )q^{5}-8q^{8}+\cdots\)
882.4.a.bb	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(12\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(6+\beta )q^{5}-8q^{8}+(-12+\cdots)q^{10}+\cdots\)