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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
520.1.bg.a	$520$	$1$	520.bg	520.ag	$4$	$4$	$2$	$0.260$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{8}+\cdots\)
1144.1.h.e	$1144$	$1$	1144.h	1144.h	$2$	$2$	$2$	$0.571$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-22}) \), \(\Q(\sqrt{-143}) \)	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}+q^{9}-iq^{11}+\cdots\)
1664.1.h.a	$1664$	$1$	1664.h	104.h	$2$	$1$	$1$	$0.830$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-26}) \)	\(\Q(\sqrt{26}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-2q^{5}-q^{9}+q^{13}+2q^{17}+3q^{25}+\cdots\)
1664.1.h.b	$1664$	$1$	1664.h	104.h	$2$	$1$	$1$	$0.830$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-26}) \)	\(\Q(\sqrt{26}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+2q^{5}-q^{9}-q^{13}+2q^{17}+3q^{25}+\cdots\)
1976.1.o.a	$1976$	$1$	1976.o	1976.o	$2$	$2$	$2$	$0.986$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-38}) \), \(\Q(\sqrt{-247}) \)	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}-q^{9}+iq^{13}+\cdots\)
2080.1.by.a	$2080$	$1$	2080.by	520.ag	$4$	$4$	$2$	$1.038$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{5}-\zeta_{8}^{2}q^{9}+(-\zeta_{8}+\zeta_{8}^{3})q^{11}+\cdots\)
2392.1.b.a	$2392$	$1$	2392.b	2392.b	$2$	$1$	$1$	$1.194$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-598}) \)	\(\Q(\sqrt{26}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{13}+q^{16}+\cdots\)
2392.1.b.b	$2392$	$1$	2392.b	2392.b	$2$	$1$	$1$	$1.194$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-598}) \)	\(\Q(\sqrt{26}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-q^{13}+q^{16}+\cdots\)
2600.1.bg.a	$2600$	$1$	2600.bg	520.ag	$4$	$4$	$2$	$1.298$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}+\zeta_{8}^{2}q^{9}+\cdots\)
3328.1.c.c	$3328$	$1$	3328.c	52.b	$2$	$2$	$2$	$1.661$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-26}) \)	\(\Q(\sqrt{26}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{5}+q^{9}-iq^{13}+q^{17}-3q^{25}+\cdots\)