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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
820.1.e.a	$820$	$1$	820.e	820.e	$2$	$1$	$1$	$0.409$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
820.1.e.b	$820$	$1$	820.e	820.e	$2$	$1$	$1$	$0.409$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
3280.1.e.a	$3280$	$1$	3280.e	820.e	$2$	$1$	$1$	$1.637$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-41}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{5}+q^{9}-2q^{11}+2q^{19}+q^{25}+\cdots\)
3280.1.e.b	$3280$	$1$	3280.e	820.e	$2$	$1$	$1$	$1.637$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-41}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{5}+q^{9}+2q^{11}-2q^{19}+q^{25}+\cdots\)
3280.1.e.c	$3280$	$1$	3280.e	820.e	$2$	$1$	$1$	$1.637$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{205}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}-2q^{13}+2q^{17}+q^{25}+\cdots\)
3280.1.e.d	$3280$	$1$	3280.e	820.e	$2$	$1$	$1$	$1.637$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-205}) \)	\(\Q(\sqrt{205}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{5}+q^{9}+2q^{13}-2q^{17}+q^{25}+\cdots\)