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Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1028.1.m.a	$1028$	$1$	1028.m	1028.m	$64$	$32$	$1$	$0.513$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{64}^{8}q^{2}+\zeta_{64}^{16}q^{4}+(-\zeta_{64}^{11}+\cdots)q^{5}+\cdots\)
1737.1.cb.a	$1737$	$1$	1737.cb	193.l	$64$	$32$	$1$	$0.867$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{64}^{18}q^{4}+(\zeta_{64}^{17}+\zeta_{64}^{23})q^{7}+\cdots\)
1792.1.bt.a	$1792$	$1$	1792.bt	1792.at	$64$	$32$	$1$	$0.894$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{64}^{3}q^{2}+\zeta_{64}^{6}q^{4}-\zeta_{64}^{7}q^{7}+\cdots\)
2056.1.bb.a	$2056$	$1$	2056.bb	2056.ab	$64$	$32$	$1$	$1.026$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{64}^{8}q^{2}+(\zeta_{64}^{19}+\zeta_{64}^{28})q^{3}+\cdots\)
2307.1.w.a	$2307$	$1$	2307.w	2307.w	$64$	$32$	$1$	$1.151$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{64}^{8}q^{3}+\zeta_{64}^{22}q^{4}+(\zeta_{64}^{18}-\zeta_{64}^{25}+\cdots)q^{7}+\cdots\)
2827.1.v.a	$2827$	$1$	2827.v	2827.v	$64$	$32$	$1$	$1.411$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{64}^{17}-\zeta_{64}^{22})q^{3}+\zeta_{64}^{16}q^{4}+\cdots\)
3076.1.w.a	$3076$	$1$	3076.w	3076.w	$64$	$32$	$1$	$1.535$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{64}^{19}q^{2}-\zeta_{64}^{6}q^{4}+(-\zeta_{64}^{4}+\cdots)q^{5}+\cdots\)
3459.1.bd.a	$3459$	$1$	3459.bd	3459.ad	$64$	$32$	$1$	$1.726$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{64}^{27}q^{3}+\zeta_{64}^{12}q^{4}+(-\zeta_{64}^{15}+\cdots)q^{7}+\cdots\)
3840.1.dy.a	$3840$	$1$	3840.dy	3840.cy	$64$	$64$	$2$	$1.916$	\(\Q(\zeta_{128})\)	$D_{64}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{128}^{29}q^{2}-\zeta_{128}q^{3}+\zeta_{128}^{58}q^{4}+\cdots\)
3855.1.bw.a	$3855$	$1$	3855.bw	3855.aw	$64$	$64$	$2$	$1.924$	\(\Q(\zeta_{128})\)	$D_{64}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{128}^{35}-\zeta_{128}^{61})q^{2}-\zeta_{128}^{39}q^{3}+\cdots\)
3860.1.dd.a	$3860$	$1$	3860.dd	3860.cd	$64$	$32$	$1$	$1.926$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{64}^{15}q^{2}+\zeta_{64}^{30}q^{4}-\zeta_{64}^{17}q^{5}+\cdots\)
3860.1.di.a	$3860$	$1$	3860.di	3860.ci	$64$	$32$	$1$	$1.926$	\(\Q(\zeta_{64})\)	$D_{64}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{64}^{17}q^{2}-\zeta_{64}^{2}q^{4}-\zeta_{64}^{10}q^{5}+\cdots\)