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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
872.1.f.a	$872$	$1$	872.f	872.f	$2$	$2$	$2$	$0.435$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-218}) \)	None	✓	$2$	$0$	\(-2\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{6}+\cdots\)
872.1.f.b	$872$	$1$	872.f	872.f	$2$	$2$	$2$	$0.435$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-218}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
3488.1.f.a	$3488$	$1$	3488.f	872.f	$2$	$2$	$2$	$1.741$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-218}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\beta q^{3}+\beta q^{9}+(-1+\beta )q^{13}+(1-\beta )q^{23}+\cdots\)
3488.1.f.b	$3488$	$1$	3488.f	872.f	$2$	$2$	$2$	$1.741$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-218}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\beta q^{3}+\beta q^{9}+(1-\beta )q^{13}+(-1+\beta )q^{23}+\cdots\)