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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2372.1.d.a	$2372$	$1$	2372.d	2372.d	$2$	$1$	$1$	$1.184$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-593}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
2372.1.d.b	$2372$	$1$	2372.d	2372.d	$2$	$1$	$1$	$1.184$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-593}) \)	\(\Q(\sqrt{593}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}+2q^{17}+\cdots\)
2372.1.d.c	$2372$	$1$	2372.d	2372.d	$2$	$1$	$1$	$1.184$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-593}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
2372.1.d.d	$2372$	$1$	2372.d	2372.d	$2$	$2$	$2$	$1.184$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-593}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-\beta q^{7}-q^{8}+\cdots\)
2372.1.d.e	$2372$	$1$	2372.d	2372.d	$2$	$2$	$2$	$1.184$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-593}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}+\beta q^{7}+q^{8}+\cdots\)
2372.1.d.f	$2372$	$1$	2372.d	2372.d	$2$	$4$	$4$	$1.184$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-593}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-\beta _{3}q^{7}+\cdots\)