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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3855.1.h.c	$3855$	$1$	3855.h	3855.h	$2$	$5$	$5$	$1.924$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3855}) \)	None	✓	$2$	$0$	\(-1\)	\(-5\)	\(-5\)	\(1\)	$1$		\(q+\beta _{4}q^{2}-q^{3}+(1-\beta _{3})q^{4}-q^{5}-\beta _{4}q^{6}+\cdots\)
3855.1.h.d	$3855$	$1$	3855.h	3855.h	$2$	$5$	$5$	$1.924$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3855}) \)	None	✓	$2$	$0$	\(-1\)	\(5\)	\(5\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}+q^{3}+(1-\beta _{3})q^{4}+q^{5}+\beta _{4}q^{6}+\cdots\)
3855.1.h.e	$3855$	$1$	3855.h	3855.h	$2$	$5$	$5$	$1.924$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3855}) \)	None	✓	$2$	$0$	\(1\)	\(-5\)	\(5\)	\(1\)	$1$		\(q-\beta _{4}q^{2}-q^{3}+(1-\beta _{3})q^{4}+q^{5}+\beta _{4}q^{6}+\cdots\)
3855.1.h.f	$3855$	$1$	3855.h	3855.h	$2$	$5$	$5$	$1.924$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-3855}) \)	None	✓	$2$	$0$	\(1\)	\(5\)	\(-5\)	\(-1\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+q^{3}+\cdots\)