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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2063.1.b.a	$2063$	$1$	2063.b	2063.b	$2$	$1$	$1$	$1.030$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2063}) \)	None	✓	$2$	$0$	\(-1\)	\(2\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+2q^{3}-2q^{6}-q^{7}+q^{8}+3q^{9}+\cdots\)
2063.1.b.b	$2063$	$1$	2063.b	2063.b	$2$	$2$	$2$	$1.030$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2063}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
2063.1.b.c	$2063$	$1$	2063.b	2063.b	$2$	$3$	$3$	$1.030$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2063}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
2063.1.b.d	$2063$	$1$	2063.b	2063.b	$2$	$4$	$4$	$1.030$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2063}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(0\)	\(1\)	$1$		\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
2063.1.b.e	$2063$	$1$	2063.b	2063.b	$2$	$12$	$12$	$1.030$	\(\Q(\zeta_{45})^+\)	$D_{45}$	\(\Q(\sqrt{-2063}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+\beta _{7}q^{2}+\beta _{6}q^{3}+(1+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)