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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2249.1.g.a	$2249$	$1$	2249.g	2249.g	$4$	$2$	$1$	$1.122$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{173}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{4}+q^{9}-iq^{13}-q^{16}-iq^{25}+\cdots\)
2249.1.s.a	$2249$	$1$	2249.s	2249.s	$12$	$4$	$1$	$1.122$	\(\Q(\zeta_{12})\)	$D_{12}$	None	\(\Q(\sqrt{173}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{5}q^{4}-\zeta_{12}^{2}q^{9}-\zeta_{12}^{5}q^{13}+\cdots\)
2768.1.g.a	$2768$	$1$	2768.g	692.d	$2$	$1$	$1$	$1.381$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-173}) \)	\(\Q(\sqrt{173}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+2q^{13}+q^{25}-2q^{29}+2q^{37}+\cdots\)
3979.1.c.a	$3979$	$1$	3979.c	3979.c	$2$	$1$	$1$	$1.986$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-3979}) \)	\(\Q(\sqrt{173}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{9}+2q^{13}+q^{16}-q^{23}+\cdots\)