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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2756.1.h.a	$2756$	$1$	2756.h	2756.h	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-689}) \)	\(\Q(\sqrt{689}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
2756.1.h.b	$2756$	$1$	2756.h	2756.h	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-689}) \)	\(\Q(\sqrt{689}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{4}+2q^{5}+q^{8}-q^{9}+2q^{10}+\cdots\)
2756.1.h.c	$2756$	$1$	2756.h	2756.h	$2$	$2$	$2$	$1.375$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-689}) \)	None	✓	$2$	$0$	\(-2\)	\(-1\)	\(1\)	\(1\)	$1$		\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
2756.1.h.d	$2756$	$1$	2756.h	2756.h	$2$	$2$	$2$	$1.375$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-689}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(-1\)	$1$		\(q-q^{2}+(1-\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
2756.1.h.f	$2756$	$1$	2756.h	2756.h	$2$	$2$	$2$	$1.375$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-689}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
2756.1.h.g	$2756$	$1$	2756.h	2756.h	$2$	$2$	$2$	$1.375$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-689}) \)	None	✓	$2$	$0$	\(2\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
2756.1.h.h	$2756$	$1$	2756.h	2756.h	$2$	$4$	$4$	$1.375$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-689}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
2756.1.h.k	$2756$	$1$	2756.h	2756.h	$2$	$4$	$4$	$1.375$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-689}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)