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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
552.1.h.a	$552$	$1$	552.h	552.h	$2$	$1$	$1$	$0.275$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-138}) \)	\(\Q(\sqrt{6}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
552.1.h.b	$552$	$1$	552.h	552.h	$2$	$1$	$1$	$0.275$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-138}) \)	\(\Q(\sqrt{6}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2208.1.h.a	$2208$	$1$	2208.h	552.h	$2$	$1$	$1$	$1.102$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-138}) \)	\(\Q(\sqrt{6}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}-q^{23}+q^{25}+q^{27}+2q^{29}+\cdots\)
2208.1.h.b	$2208$	$1$	2208.h	552.h	$2$	$1$	$1$	$1.102$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-138}) \)	\(\Q(\sqrt{6}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+q^{23}+q^{25}+q^{27}-2q^{29}+\cdots\)
3864.1.bx.a	$3864$	$1$	3864.bx	3864.ax	$6$	$2$	$1$	$1.928$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-138}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots\)
3864.1.bx.b	$3864$	$1$	3864.bx	3864.ax	$6$	$2$	$1$	$1.928$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-138}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots\)
3864.1.bx.c	$3864$	$1$	3864.bx	3864.ax	$6$	$2$	$1$	$1.928$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-138}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots\)
3864.1.bx.d	$3864$	$1$	3864.bx	3864.ax	$6$	$2$	$1$	$1.928$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-138}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots\)
3864.1.bx.e	$3864$	$1$	3864.bx	3864.ax	$6$	$4$	$2$	$1.928$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-138}) \)	None		$8$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
3864.1.bx.f	$3864$	$1$	3864.bx	3864.ax	$6$	$4$	$2$	$1.928$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-138}) \)	None		$8$	$0$	\(2\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)