Newform search results

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

Results (6 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.b	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-12\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-12q^{5}-8q^{8}+24q^{10}+\cdots\)
882.4.a.c	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-9\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}-9q^{5}-8q^{8}+18q^{10}+\cdots\)
882.4.a.d	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+2q^{5}-8q^{8}-4q^{10}+\cdots\)
882.4.a.g	$882$	$4$	882.a	1.a	$1$	$1$	$1$	$52.040$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(18\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+18q^{5}-8q^{8}-6^{2}q^{10}+\cdots\)
882.4.a.w	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{22}) \)	None	✓	$2$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+\beta q^{5}-8q^{8}-2\beta q^{10}+\cdots\)
882.4.a.z	$882$	$4$	882.a	1.a	$1$	$2$	$2$	$52.040$	\(\Q(\sqrt{1345}) \)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(3-\beta )q^{5}-8q^{8}+(-6+\cdots)q^{10}+\cdots\)