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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1043.1.c.a	$1043$	$1$	1043.c	1043.c	$2$	$1$	$1$	$0.521$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1043}) \)	\(\Q(\sqrt{149}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-q^{9}+q^{16}+q^{25}+q^{28}+\cdots\)
2384.1.h.a	$2384$	$1$	2384.h	596.d	$2$	$1$	$1$	$1.190$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-149}) \)	\(\Q(\sqrt{149}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-2q^{5}-q^{9}+2q^{17}+3q^{25}-2q^{29}+\cdots\)
2831.1.d.a	$2831$	$1$	2831.d	2831.d	$2$	$1$	$1$	$1.413$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-2831}) \)	\(\Q(\sqrt{149}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q-q^{4}-2q^{5}-2q^{7}-q^{9}+q^{16}-2q^{17}+\cdots\)
2831.1.h.a	$2831$	$1$	2831.h	2831.h	$6$	$2$	$1$	$1.413$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{149}) \)		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{16}+\cdots\)