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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3311.1.h.a	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3311}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-2q^{2}+3q^{4}-q^{7}-4q^{8}-q^{9}-q^{11}+\cdots\)
3311.1.h.f	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3311}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+2q^{2}+3q^{4}+q^{7}+4q^{8}-q^{9}-q^{11}+\cdots\)
3311.1.h.g	$3311$	$1$	3311.h	3311.h	$2$	$2$	$2$	$1.652$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{473}) \)		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+\zeta_{6}^{2}q^{7}+q^{8}-q^{9}-q^{11}+\cdots\)
3311.1.h.j	$3311$	$1$	3311.h	3311.h	$2$	$2$	$2$	$1.652$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{473}) \)		$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}-\zeta_{6}^{2}q^{7}-q^{8}-q^{9}-q^{11}+\cdots\)
3784.1.f.a	$3784$	$1$	3784.f	3784.f	$2$	$1$	$1$	$1.888$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-946}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{11}+q^{16}+\cdots\)
3784.1.f.b	$3784$	$1$	3784.f	3784.f	$2$	$1$	$1$	$1.888$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-946}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}+q^{11}+q^{16}+\cdots\)
3784.1.f.d	$3784$	$1$	3784.f	3784.f	$2$	$2$	$2$	$1.888$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{473}) \)		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+\cdots\)
3784.1.f.e	$3784$	$1$	3784.f	3784.f	$2$	$2$	$2$	$1.888$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{473}) \)		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\cdots\)