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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2452.1.bf.a	$2452$	$1$	2452.bf	2452.af	$306$	$96$	$1$	$1.224$	\(\Q(\zeta_{153})\)	$D_{153}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)	$1$		\(q+\zeta_{306}^{92}q^{2}-\zeta_{306}^{31}q^{4}+(-\zeta_{306}^{63}+\cdots)q^{5}+\cdots\)
2456.1.br.a	$2456$	$1$	2456.br	2456.ar	$306$	$96$	$1$	$1.226$	\(\Q(\zeta_{153})\)	$D_{153}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{306}^{21}q^{2}+(-\zeta_{306}^{89}-\zeta_{306}^{145}+\cdots)q^{3}+\cdots\)
2757.1.z.a	$2757$	$1$	2757.z	2757.z	$306$	$96$	$1$	$1.376$	\(\Q(\zeta_{153})\)	$D_{153}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(3\)	\(0\)	\(3\)	$1$		\(q-\zeta_{306}^{129}q^{3}+\zeta_{306}^{120}q^{4}+(\zeta_{306}^{58}+\cdots)q^{7}+\cdots\)
3193.1.ci.a	$3193$	$1$	3193.ci	3193.bi	$102$	$96$	$3$	$1.594$	\(\Q(\zeta_{153})\)	$D_{153}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{306}^{7}+\zeta_{306}^{8})q^{2}+(\zeta_{306}^{14}-\zeta_{306}^{15}+\cdots)q^{4}+\cdots\)
3684.1.bv.a	$3684$	$1$	3684.bv	921.w	$306$	$96$	$1$	$1.839$	\(\Q(\zeta_{153})\)	$D_{153}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)	$1$		\(q-\zeta_{306}^{99}q^{3}+(\zeta_{306}^{34}+\zeta_{306}^{106})q^{7}+\cdots\)