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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3531.1.e.a	$3531$	$1$	3531.e	3531.e	$2$	$1$	$1$	$1.762$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3531}) \)	\(\Q(\sqrt{33}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}-q^{11}+q^{12}+q^{16}+\cdots\)
3531.1.e.b	$3531$	$1$	3531.e	3531.e	$2$	$1$	$1$	$1.762$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3531}) \)	\(\Q(\sqrt{33}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{11}+q^{12}+q^{16}+\cdots\)
3531.1.e.c	$3531$	$1$	3531.e	3531.e	$2$	$2$	$2$	$1.762$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3531}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+q^{9}-q^{11}+\cdots\)
3531.1.e.d	$3531$	$1$	3531.e	3531.e	$2$	$2$	$2$	$1.762$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3531}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+\beta q^{5}-\beta q^{7}+q^{9}+q^{11}+\cdots\)