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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2327.1.d.a	$2327$	$1$	2327.d	2327.d	$2$	$1$	$1$	$1.161$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2327}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{2}-q^{3}+q^{6}+2q^{7}+q^{8}-q^{11}+\cdots\)
2327.1.d.b	$2327$	$1$	2327.d	2327.d	$2$	$1$	$1$	$1.161$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-179}) \), \(\Q(\sqrt{-2327}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+2q^{3}-q^{4}+3q^{9}-2q^{12}+q^{13}+\cdots\)
2327.1.d.c	$2327$	$1$	2327.d	2327.d	$2$	$1$	$1$	$1.161$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2327}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+q^{2}-q^{3}-q^{6}-2q^{7}-q^{8}+q^{11}+\cdots\)
2327.1.d.d	$2327$	$1$	2327.d	2327.d	$2$	$2$	$2$	$1.161$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-2327}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-2q^{3}+q^{4}+2\beta q^{6}-\beta q^{7}+\cdots\)
2327.1.d.e	$2327$	$1$	2327.d	2327.d	$2$	$2$	$2$	$1.161$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2327}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{6}-\beta q^{8}+\cdots\)
2327.1.d.g	$2327$	$1$	2327.d	2327.d	$2$	$4$	$4$	$1.161$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-2327}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{7}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
2327.1.d.h	$2327$	$1$	2327.d	2327.d	$2$	$4$	$4$	$1.161$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-2327}) \)	None	✓	$4$	$0$	\(0\)	\(4\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
2327.1.d.i	$2327$	$1$	2327.d	2327.d	$2$	$8$	$8$	$1.161$	\(\Q(\zeta_{48})^+\)	$D_{24}$	\(\Q(\sqrt{-2327}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(2\beta _{3}+\cdots)q^{6}+\cdots\)