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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
995.1.c.a	$995$	$1$	995.c	995.c	$2$	$1$	$1$	$0.497$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-199}) \), \(\Q(\sqrt{-995}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}-q^{9}+q^{16}+q^{20}+q^{25}+\cdots\)
995.1.c.c	$995$	$1$	995.c	995.c	$2$	$2$	$2$	$0.497$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-995}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}-q^{5}+q^{9}-\beta q^{12}+\beta q^{15}+\cdots\)
3980.1.f.a	$3980$	$1$	3980.f	995.c	$2$	$1$	$1$	$1.986$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-995}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{5}-q^{15}-q^{17}+q^{25}+q^{27}+\cdots\)
3980.1.f.b	$3980$	$1$	3980.f	995.c	$2$	$1$	$1$	$1.986$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-995}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{5}+q^{15}+q^{17}+q^{25}-q^{27}+\cdots\)
3980.1.f.c	$3980$	$1$	3980.f	995.c	$2$	$2$	$2$	$1.986$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-995}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{3}+q^{5}+2q^{9}-\beta q^{15}+\beta q^{17}+\cdots\)
3980.1.f.d	$3980$	$1$	3980.f	995.c	$2$	$4$	$4$	$1.986$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-995}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta _{1}q^{3}-q^{5}+(1+\beta _{2})q^{9}+\beta _{1}q^{15}+\cdots\)