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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2199.1.d.a	$2199$	$1$	2199.d	2199.d	$2$	$1$	$1$	$1.097$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2199}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}-q^{5}-q^{6}+q^{8}+q^{9}+\cdots\)
2199.1.d.b	$2199$	$1$	2199.d	2199.d	$2$	$1$	$1$	$1.097$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2199}) \)	\(\Q(\sqrt{733}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}-q^{4}+q^{9}+q^{12}+q^{16}-2q^{19}+\cdots\)
2199.1.d.c	$2199$	$1$	2199.d	2199.d	$2$	$1$	$1$	$1.097$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2199}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{5}+q^{6}-q^{8}+q^{9}+\cdots\)
2199.1.d.d	$2199$	$1$	2199.d	2199.d	$2$	$2$	$2$	$1.097$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2199}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{5}+\beta q^{6}+\cdots\)
2199.1.d.f	$2199$	$1$	2199.d	2199.d	$2$	$3$	$3$	$1.097$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2199}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
2199.1.d.g	$2199$	$1$	2199.d	2199.d	$2$	$3$	$3$	$1.097$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2199}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots\)
2199.1.d.h	$2199$	$1$	2199.d	2199.d	$2$	$6$	$6$	$1.097$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-2199}) \)	None	✓	$4$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)