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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
839.1.b.a	$839$	$1$	839.b	839.b	$2$	$1$	$1$	$0.419$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-839}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(2\)	\(2\)	$1$		\(q-q^{2}-q^{3}+2q^{5}+q^{6}+2q^{7}+q^{8}+\cdots\)
839.1.b.b	$839$	$1$	839.b	839.b	$2$	$5$	$5$	$0.419$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-839}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}+\beta _{4}q^{3}+(1-\beta _{3})q^{4}+\beta _{2}q^{5}+\cdots\)
839.1.b.c	$839$	$1$	839.b	839.b	$2$	$10$	$10$	$0.419$	\(\Q(\zeta_{33})^+\)	$D_{33}$	\(\Q(\sqrt{-839}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-2\)	\(-2\)	$1$		\(q+(-\beta _{2}-\beta _{9})q^{2}+\beta _{2}q^{3}+(1-\beta _{4}+\cdots)q^{4}+\cdots\)