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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
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.d.b	$2831$	$1$	2831.d	2831.d	$2$	$8$	$8$	$1.413$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-2831}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{6}q^{2}-\beta _{7}q^{3}+(1-\beta _{5})q^{4}-\beta _{7}q^{5}+\cdots\)
2831.1.d.c	$2831$	$1$	2831.d	2831.d	$2$	$8$	$8$	$1.413$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-2831}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{2}q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
2831.1.d.d	$2831$	$1$	2831.d	2831.d	$2$	$16$	$16$	$1.413$	\(\Q(\zeta_{68})^+\)	$D_{34}$	\(\Q(\sqrt{-2831}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(2\)	$1$		\(q+\beta _{13}q^{2}+\beta _{1}q^{3}+(1-\beta _{8})q^{4}+(1+\cdots)q^{5}+\cdots\)