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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2091.1.e.e	$2091$	$1$	2091.e	2091.e	$2$	$2$	$2$	$1.044$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-51}) \), \(\Q(\sqrt{-123}) \)	\(\Q(\sqrt{697}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}+q^{4}-q^{9}-iq^{11}-iq^{12}+\cdots\)
2091.1.e.f	$2091$	$1$	2091.e	2091.e	$2$	$4$	$4$	$1.044$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{697}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{12}^{2}+\zeta_{12}^{4})q^{2}-\zeta_{12}q^{3}+(-1+\cdots)q^{4}+\cdots\)
2788.1.b.a	$2788$	$1$	2788.b	2788.b	$2$	$1$	$1$	$1.391$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-697}) \)	\(\Q(\sqrt{697}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
2788.1.b.b	$2788$	$1$	2788.b	2788.b	$2$	$1$	$1$	$1.391$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-697}) \)	\(\Q(\sqrt{697}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}+q^{17}+\cdots\)
2788.1.b.c	$2788$	$1$	2788.b	2788.b	$2$	$2$	$2$	$1.391$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{697}) \)		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+\cdots\)
2788.1.b.d	$2788$	$1$	2788.b	2788.b	$2$	$2$	$2$	$1.391$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{697}) \)		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}q^{2}+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{4}+\cdots\)