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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1255.1.d.a	$1255$	$1$	1255.d	1255.d	$2$	$1$	$1$	$0.626$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1255}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{5}+q^{8}+q^{9}-q^{10}-q^{16}+\cdots\)
1255.1.d.b	$1255$	$1$	1255.d	1255.d	$2$	$1$	$1$	$0.626$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-251}) \), \(\Q(\sqrt{-1255}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}+q^{9}+q^{16}+q^{20}+q^{25}+\cdots\)
1255.1.d.c	$1255$	$1$	1255.d	1255.d	$2$	$1$	$1$	$0.626$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1255}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{5}-q^{8}+q^{9}+q^{10}-q^{16}+\cdots\)
1255.1.d.d	$1255$	$1$	1255.d	1255.d	$2$	$2$	$2$	$0.626$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1255}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{2}+2q^{4}-q^{5}-\beta q^{8}+q^{9}+\beta q^{10}+\cdots\)