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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1763.1.c.a	$1763$	$1$	1763.c	1763.c	$2$	$1$	$1$	$0.880$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1763}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}+q^{4}-q^{7}-q^{12}+q^{16}+2q^{19}+\cdots\)
1763.1.c.b	$1763$	$1$	1763.c	1763.c	$2$	$1$	$1$	$0.880$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-1763}) \)	\(\Q(\sqrt{41}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-q^{9}+q^{16}+2q^{23}+q^{25}+\cdots\)
1763.1.c.c	$1763$	$1$	1763.c	1763.c	$2$	$1$	$1$	$0.880$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1763}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{3}+q^{4}+q^{7}+q^{12}+q^{16}-2q^{19}+\cdots\)
1763.1.c.d	$1763$	$1$	1763.c	1763.c	$2$	$2$	$2$	$0.880$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1763}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}+\beta q^{7}+2q^{9}-\beta q^{12}+\cdots\)