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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3748.1.b.a	$3748$	$1$	3748.b	3748.b	$2$	$1$	$1$	$1.870$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-937}) \)	\(\Q(\sqrt{937}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+2q^{13}+q^{16}+\cdots\)
3748.1.b.b	$3748$	$1$	3748.b	3748.b	$2$	$2$	$2$	$1.870$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-937}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}+(-1+\beta )q^{7}+q^{8}+q^{9}+\cdots\)
3748.1.b.c	$3748$	$1$	3748.b	3748.b	$2$	$2$	$2$	$1.870$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-937}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+(1-\beta )q^{7}+q^{8}+q^{9}+\cdots\)
3748.1.b.d	$3748$	$1$	3748.b	3748.b	$2$	$4$	$4$	$1.870$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-937}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta _{1}q^{7}-q^{8}+q^{9}-\beta _{3}q^{11}+\cdots\)