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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2127.1.d.a	$2127$	$1$	2127.d	2127.d	$2$	$1$	$1$	$1.062$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2127}) \)	\(\Q(\sqrt{709}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
2127.1.d.b	$2127$	$1$	2127.d	2127.d	$2$	$3$	$3$	$1.062$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2127}) \)	None	✓	$2$	$0$	\(-1\)	\(3\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
2127.1.d.c	$2127$	$1$	2127.d	2127.d	$2$	$3$	$3$	$1.062$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2127}) \)	None	✓	$2$	$0$	\(1\)	\(3\)	\(0\)	\(-1\)	$1$		\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
2127.1.d.d	$2127$	$1$	2127.d	2127.d	$2$	$6$	$6$	$1.062$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-2127}) \)	None	✓	$4$	$0$	\(0\)	\(-6\)	\(0\)	\(-2\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)