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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3959.1.d.a	$3959$	$1$	3959.d	3959.d	$2$	$1$	$1$	$1.976$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3959}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}-q^{4}+3q^{9}+2q^{11}+2q^{12}+\cdots\)
3959.1.d.c	$3959$	$1$	3959.d	3959.d	$2$	$8$	$8$	$1.976$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3959}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+\beta _{6}q^{2}+\beta _{6}q^{3}+(1-\beta _{5})q^{4}+\beta _{2}q^{5}+\cdots\)
3959.1.d.d	$3959$	$1$	3959.d	3959.d	$2$	$8$	$8$	$1.976$	\(\Q(\zeta_{34})^+\)	$D_{17}$	\(\Q(\sqrt{-3959}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-\beta _{2}q^{2}+\beta _{2}q^{3}+(1+\beta _{4})q^{4}+\beta _{5}q^{5}+\cdots\)
3959.1.d.e	$3959$	$1$	3959.d	3959.d	$2$	$16$	$16$	$1.976$	\(\Q(\zeta_{68})^+\)	$D_{34}$	\(\Q(\sqrt{-3959}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\beta _{13}q^{2}-\beta _{4}q^{3}+(1-\beta _{8})q^{4}+\beta _{7}q^{5}+\cdots\)