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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2455.1.d.a	$2455$	$1$	2455.d	2455.d	$2$	$1$	$1$	$1.225$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-491}) \), \(\Q(\sqrt{-2455}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}+q^{9}-2q^{11}+q^{16}+q^{20}+\cdots\)
2455.1.d.c	$2455$	$1$	2455.d	2455.d	$2$	$3$	$3$	$1.225$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2455}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(3\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+\beta _{2}q^{7}+\cdots\)
2455.1.d.d	$2455$	$1$	2455.d	2455.d	$2$	$3$	$3$	$1.225$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2455}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(3\)	\(1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}-\beta _{2}q^{7}+\cdots\)
2455.1.d.f	$2455$	$1$	2455.d	2455.d	$2$	$6$	$6$	$1.225$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-2455}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{5}q^{7}+\cdots\)