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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2983.1.d.a	$2983$	$1$	2983.d	2983.d	$2$	$1$	$1$	$1.489$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-2983}) \)	\(\Q(\sqrt{157}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}+2q^{11}+q^{16}-2q^{17}+\cdots\)
2983.1.d.b	$2983$	$1$	2983.d	2983.d	$2$	$2$	$2$	$1.489$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2983}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
2983.1.d.c	$2983$	$1$	2983.d	2983.d	$2$	$2$	$2$	$1.489$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2983}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+q^{8}+q^{9}+\cdots\)
2983.1.d.d	$2983$	$1$	2983.d	2983.d	$2$	$4$	$4$	$1.489$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-2983}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{8}+\cdots\)