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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2317.1.cz.a	$2317$	$1$	2317.cz	2317.bz	$330$	$80$	$1$	$1.156$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{330}^{101}-\zeta_{330}^{141})q^{2}+(-\zeta_{330}^{37}+\cdots)q^{4}+\cdots\)
2644.1.bt.a	$2644$	$1$	2644.bt	2644.at	$330$	$80$	$1$	$1.320$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-\zeta_{330}^{67}q^{2}+\zeta_{330}^{134}q^{4}+(\zeta_{330}^{58}+\cdots)q^{5}+\cdots\)
2648.1.cg.a	$2648$	$1$	2648.cg	2648.bg	$330$	$80$	$1$	$1.322$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(10\)	\(-9\)	\(0\)	\(0\)	$1$		\(q-\zeta_{330}^{121}q^{2}+(\zeta_{330}^{2}-\zeta_{330}^{105})q^{3}+\cdots\)
2973.1.bq.a	$2973$	$1$	2973.bq	2973.aq	$330$	$80$	$1$	$1.484$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(12\)	$1$		\(q-\zeta_{330}^{141}q^{3}-\zeta_{330}^{151}q^{4}+(\zeta_{330}^{54}+\cdots)q^{7}+\cdots\)
3641.1.dt.a	$3641$	$1$	3641.dt	3641.ct	$330$	$80$	$1$	$1.817$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{330}^{3}+\zeta_{330}^{38})q^{3}-\zeta_{330}^{11}q^{4}+\cdots\)
3972.1.cl.a	$3972$	$1$	3972.cl	993.ae	$330$	$80$	$1$	$1.982$	\(\Q(\zeta_{330})\)	$D_{165}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-6\)	$1$		\(q-\zeta_{330}^{59}q^{3}+(-\zeta_{330}^{75}+\zeta_{330}^{78}+\cdots)q^{7}+\cdots\)