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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1771.1.by.a	$1771$	$1$	1771.by	1771.ay	$110$	$40$	$1$	$0.884$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(\zeta_{110}^{3}+\zeta_{110}^{54})q^{2}+(-\zeta_{110}^{2}+\zeta_{110}^{6}+\cdots)q^{4}+\cdots\)
1771.1.by.b	$1771$	$1$	1771.by	1771.ay	$110$	$40$	$1$	$0.884$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{110}^{14}+\zeta_{110}^{43})q^{2}+(-\zeta_{110}^{2}+\zeta_{110}^{28}+\cdots)q^{4}+\cdots\)
1983.1.bl.a	$1983$	$1$	1983.bl	1983.al	$110$	$40$	$1$	$0.990$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q+\zeta_{110}^{50}q^{3}-\zeta_{110}^{38}q^{4}+(\zeta_{110}^{3}+\zeta_{110}^{12}+\cdots)q^{7}+\cdots\)
2904.1.cl.a	$2904$	$1$	2904.cl	2904.bl	$110$	$40$	$1$	$1.449$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{110}^{36}q^{2}+\zeta_{110}^{27}q^{3}-\zeta_{110}^{17}q^{4}+\cdots\)
2904.1.cl.b	$2904$	$1$	2904.cl	2904.bl	$110$	$40$	$1$	$1.449$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{110}^{36}q^{2}+\zeta_{110}^{39}q^{3}-\zeta_{110}^{17}q^{4}+\cdots\)
2979.1.cl.a	$2979$	$1$	2979.cl	331.n	$110$	$40$	$1$	$1.487$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(5\)	$1$		\(q-\zeta_{110}^{33}q^{4}+(\zeta_{110}^{25}+\zeta_{110}^{48})q^{7}+\cdots\)
3388.1.by.a	$3388$	$1$	3388.by	3388.ay	$110$	$40$	$1$	$1.691$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\zeta_{110}^{21}q^{2}+\zeta_{110}^{42}q^{4}-\zeta_{110}^{39}q^{7}+\cdots\)
3388.1.by.b	$3388$	$1$	3388.by	3388.ay	$110$	$40$	$1$	$1.691$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{110}^{53}q^{2}-\zeta_{110}^{51}q^{4}+\zeta_{110}^{39}q^{7}+\cdots\)
3524.1.bf.a	$3524$	$1$	3524.bf	3524.af	$110$	$40$	$1$	$1.759$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(3\)	\(0\)	$1$		\(q+\zeta_{110}^{46}q^{2}-\zeta_{110}^{37}q^{4}+(\zeta_{110}^{35}+\cdots)q^{5}+\cdots\)
3963.1.bt.a	$3963$	$1$	3963.bt	3963.at	$110$	$40$	$1$	$1.978$	\(\Q(\zeta_{55})\)	$D_{110}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{110}^{47}q^{3}+\zeta_{110}^{22}q^{4}+(-\zeta_{110}^{38}+\cdots)q^{7}+\cdots\)