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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3743.1.d.a	$3743$	$1$	3743.d	3743.d	$2$	$1$	$1$	$1.868$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3743}) \)	\(\Q(\sqrt{197}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{4}-2q^{7}-q^{9}+q^{16}+q^{19}-2q^{23}+\cdots\)
3743.1.d.b	$3743$	$1$	3743.d	3743.d	$2$	$2$	$2$	$1.868$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3743}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-\beta q^{3}+q^{4}+2q^{6}+q^{9}-\beta q^{12}+\cdots\)
3743.1.d.c	$3743$	$1$	3743.d	3743.d	$2$	$3$	$3$	$1.868$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3743}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
3743.1.d.d	$3743$	$1$	3743.d	3743.d	$2$	$3$	$3$	$1.868$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3743}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
3743.1.d.e	$3743$	$1$	3743.d	3743.d	$2$	$6$	$6$	$1.868$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-3743}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{2}+\cdots)q^{6}+\cdots\)
3743.1.d.f	$3743$	$1$	3743.d	3743.d	$2$	$12$	$12$	$1.868$	\(\Q(\zeta_{56})^+\)	$D_{28}$	\(\Q(\sqrt{-3743}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{9}q^{2}-\beta _{3}q^{3}+(1-\beta _{10})q^{4}+(-1+\cdots)q^{6}+\cdots\)