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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
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.c	$3044$	$1$	3044.d	3044.d	$2$	$2$	$2$	$1.519$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{761}) \)		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+q^{8}-q^{9}+\cdots\)
3805.1.g.a	$3805$	$1$	3805.g	3805.g	$4$	$2$	$1$	$1.899$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{761}) \)		$4$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+(1-i)q^{2}-iq^{4}-q^{5}+q^{8}+iq^{9}+\cdots\)
3805.1.g.b	$3805$	$1$	3805.g	3805.g	$4$	$4$	$2$	$1.899$	\(\Q(\zeta_{12})\)	$D_{12}$	None	\(\Q(\sqrt{761}) \)		$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{12}^{4}+\zeta_{12}^{5})q^{2}+(-\zeta_{12}^{2}-\zeta_{12}^{3}+\cdots)q^{4}+\cdots\)