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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3919.1.b.a	$3919$	$1$	3919.b	3919.b	$2$	$1$	$1$	$1.956$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3919}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
3919.1.b.c	$3919$	$1$	3919.b	3919.b	$2$	$6$	$6$	$1.956$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3919}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5})q^{4}+\cdots\)
3919.1.b.d	$3919$	$1$	3919.b	3919.b	$2$	$12$	$12$	$1.956$	\(\Q(\zeta_{39})^+\)	$D_{39}$	\(\Q(\sqrt{-3919}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(1\)	$1$		\(q+\beta _{4}q^{2}+(1-\beta _{5}+\beta _{8})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)