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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
632.1.f.a	$632$	$1$	632.f	632.f	$2$	$1$	$1$	$0.315$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-79}) \), \(\Q(\sqrt{-158}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}-q^{18}+\cdots\)
632.1.f.b	$632$	$1$	632.f	632.f	$2$	$2$	$2$	$0.315$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-158}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-q^{8}+q^{9}+\cdots\)
2528.1.f.a	$2528$	$1$	2528.f	632.f	$2$	$1$	$1$	$1.262$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-79}) \), \(\Q(\sqrt{-158}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+2q^{23}+q^{25}+2q^{31}+q^{49}+\cdots\)
2528.1.f.b	$2528$	$1$	2528.f	632.f	$2$	$2$	$2$	$1.262$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-158}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta q^{3}+q^{9}+q^{25}+\beta q^{29}+\beta q^{37}+\cdots\)