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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3983.1.d.a	$3983$	$1$	3983.d	3983.d	$2$	$1$	$1$	$1.988$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3983}) \)	\(\Q(\sqrt{569}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-2q^{2}+3q^{4}-q^{7}-4q^{8}-q^{9}+2q^{14}+\cdots\)
3983.1.d.b	$3983$	$1$	3983.d	3983.d	$2$	$5$	$5$	$1.988$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3983}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(5\)	$1$		\(q+\beta _{2}q^{2}+\beta _{4}q^{3}+(1+\beta _{4})q^{4}+(-1+\cdots)q^{6}+\cdots\)
3983.1.d.c	$3983$	$1$	3983.d	3983.d	$2$	$5$	$5$	$1.988$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3983}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(5\)	$1$		\(q-\beta _{3}q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{3}+\cdots\)
3983.1.d.d	$3983$	$1$	3983.d	3983.d	$2$	$10$	$10$	$1.988$	\(\Q(\zeta_{44})^+\)	$D_{22}$	\(\Q(\sqrt{-3983}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(-10\)	$1$		\(q+\beta _{6}q^{2}-\beta _{1}q^{3}+(1-\beta _{8})q^{4}+(-\beta _{5}+\cdots)q^{6}+\cdots\)