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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1101.1.l.a	$1101$	$1$	1101.l	1101.l	$122$	$60$	$1$	$0.549$	\(\Q(\zeta_{122})\)	$D_{61}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{122}^{16}q^{3}+\zeta_{122}^{40}q^{4}+(\zeta_{122}^{4}+\zeta_{122}^{6}+\cdots)q^{7}+\cdots\)
2199.1.o.a	$2199$	$1$	2199.o	2199.o	$122$	$60$	$1$	$1.097$	\(\Q(\zeta_{122})\)	$D_{61}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{122}^{44}q^{3}+\zeta_{122}^{20}q^{4}+(-\zeta_{122}^{9}+\cdots)q^{7}+\cdots\)
2932.1.o.a	$2932$	$1$	2932.o	2932.o	$122$	$60$	$1$	$1.463$	\(\Q(\zeta_{122})\)	$D_{61}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{122}^{57}q^{2}-\zeta_{122}^{53}q^{4}+(-\zeta_{122}^{25}+\cdots)q^{5}+\cdots\)
3863.1.b.a	$3863$	$1$	3863.b	3863.b	$2$	$30$	$30$	$1.928$	\(\Q(\zeta_{122})^+\)	$D_{61}$	\(\Q(\sqrt{-3863}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\beta _{20}q^{2}+\beta _{8}q^{3}+(1-\beta _{21})q^{4}+(\beta _{12}+\cdots)q^{6}+\cdots\)
3908.1.m.a	$3908$	$1$	3908.m	3908.m	$122$	$60$	$1$	$1.950$	\(\Q(\zeta_{122})\)	$D_{61}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{122}^{43}q^{2}-\zeta_{122}^{25}q^{4}+(\zeta_{122}^{30}+\cdots)q^{5}+\cdots\)