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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
527.1.d.a	$527$	$1$	527.d	527.d	$2$	$1$	$1$	$0.263$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{6}+q^{8}-q^{11}-q^{16}+\cdots\)
527.1.d.b	$527$	$1$	527.d	527.d	$2$	$1$	$1$	$0.263$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}-q^{6}+q^{8}+q^{11}-q^{16}+\cdots\)
527.1.d.c	$527$	$1$	527.d	527.d	$2$	$3$	$3$	$0.263$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{2}-\beta _{1}q^{3}+(1-\beta _{1})q^{4}+\cdots\)
527.1.d.d	$527$	$1$	527.d	527.d	$2$	$3$	$3$	$0.263$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{2}+\beta _{1}q^{3}+(1-\beta _{1})q^{4}+\cdots\)
527.3.d.a	$527$	$3$	527.d	527.d	$2$	$9$	$9$	$14.360$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}-\beta _{5}q^{3}+(4+\beta _{4})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
527.3.d.b	$527$	$3$	527.d	527.d	$2$	$9$	$9$	$14.360$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	\(\Q(\sqrt{-527}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+\beta _{5}q^{3}+(4+\beta _{4})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)