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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2564.1.d.a	$2564$	$1$	2564.d	2564.d	$2$	$1$	$1$	$1.280$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-641}) \)	\(\Q(\sqrt{641}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
2564.1.d.b	$2564$	$1$	2564.d	2564.d	$2$	$3$	$3$	$1.280$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-641}) \)	None	✓	$2$	$0$	\(3\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2564.1.d.c	$2564$	$1$	2564.d	2564.d	$2$	$3$	$3$	$1.280$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-641}) \)	None	✓	$2$	$0$	\(3\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
2564.1.d.d	$2564$	$1$	2564.d	2564.d	$2$	$6$	$6$	$1.280$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-641}) \)	None	✓	$4$	$0$	\(-6\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)