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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
491.1.b.a	$491$	$1$	491.b	491.b	$2$	$1$	$1$	$0.245$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-491}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q-q^{3}+q^{4}+2q^{5}-q^{11}-q^{12}-q^{13}+\cdots\)
491.1.b.c	$491$	$1$	491.b	491.b	$2$	$3$	$3$	$0.245$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}-q^{5}+(1+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
1964.1.d.a	$1964$	$1$	1964.d	491.b	$2$	$9$	$9$	$0.980$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+\beta _{6}q^{5}+(1+\beta _{2})q^{9}+\beta _{4}q^{11}+\cdots\)
2455.1.d.a	$2455$	$1$	2455.d	2455.d	$2$	$1$	$1$	$1.225$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-491}) \), \(\Q(\sqrt{-2455}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}+q^{9}-2q^{11}+q^{16}+q^{20}+\cdots\)
2455.1.d.b	$2455$	$1$	2455.d	2455.d	$2$	$2$	$2$	$1.225$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-491}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-q^{4}-q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
2455.1.d.e	$2455$	$1$	2455.d	2455.d	$2$	$6$	$6$	$1.225$	\(\Q(\zeta_{18})\)	$D_{18}$	\(\Q(\sqrt{-491}) \)	None		$4$	$0$	\(0\)	\(0\)	\(3\)	\(0\)	$1$		\(q+(-\zeta_{18}-\zeta_{18}^{8})q^{3}-q^{4}-\zeta_{18}^{6}q^{5}+\cdots\)
491.3.b.a	$491$	$3$	491.b	491.b	$2$	$9$	$9$	$13.379$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	\(\Q(\sqrt{-491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+4q^{4}-\beta _{5}q^{5}+(9-\beta _{3}+2\beta _{6}+\cdots)q^{9}+\cdots\)
1964.3.d.a	$1964$	$3$	1964.d	491.b	$2$	$18$	$18$	$53.515$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	\(\Q(\sqrt{-491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{12}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}-\beta _{11}q^{5}+(9+\beta _{4}-\beta _{5})q^{9}+\cdots\)