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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1732.1.b.a	$1732$	$1$	1732.b	1732.b	$2$	$1$	$1$	$0.864$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-433}) \)	\(\Q(\sqrt{433}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+2q^{13}+q^{16}+\cdots\)
1732.1.b.b	$1732$	$1$	1732.b	1732.b	$2$	$1$	$1$	$0.864$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-433}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{13}+\cdots\)
1732.1.b.c	$1732$	$1$	1732.b	1732.b	$2$	$1$	$1$	$0.864$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-433}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{9}-q^{13}+\cdots\)
1732.1.b.d	$1732$	$1$	1732.b	1732.b	$2$	$2$	$2$	$0.864$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-433}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta q^{7}-q^{8}+q^{9}-q^{13}+\cdots\)