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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3044.1.d.a	$3044$	$1$	3044.d	3044.d	$2$	$1$	$1$	$1.519$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-761}) \)	\(\Q(\sqrt{761}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{4}+2q^{5}+q^{8}-q^{9}+2q^{10}+\cdots\)
3044.1.d.b	$3044$	$1$	3044.d	3044.d	$2$	$2$	$2$	$1.519$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-761}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(4\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+2q^{5}+\beta q^{6}+\beta q^{7}+\cdots\)
3044.1.d.d	$3044$	$1$	3044.d	3044.d	$2$	$2$	$2$	$1.519$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-761}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
3044.1.d.e	$3044$	$1$	3044.d	3044.d	$2$	$2$	$2$	$1.519$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-761}) \)	None	✓	$2$	$0$	\(2\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
3044.1.d.f	$3044$	$1$	3044.d	3044.d	$2$	$4$	$4$	$1.519$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-761}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
3044.1.d.g	$3044$	$1$	3044.d	3044.d	$2$	$8$	$8$	$1.519$	\(\Q(\zeta_{40})^+\)	$D_{20}$	\(\Q(\sqrt{-761}) \)	None	✓	$4$	$0$	\(-8\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-q^{2}+\beta _{7}q^{3}+q^{4}+(-1-\beta _{4})q^{5}+\cdots\)