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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
563.1.b.a	$563$	$1$	563.b	563.b	$2$	$1$	$1$	$0.281$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-563}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}+q^{4}-q^{7}+2q^{11}-q^{12}+2q^{13}+\cdots\)
563.1.b.c	$563$	$1$	563.b	563.b	$2$	$3$	$3$	$0.281$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{7}+(1+\beta _{2})q^{9}+\cdots\)
2252.1.d.a	$2252$	$1$	2252.d	563.b	$2$	$9$	$9$	$1.124$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+\beta _{4}q^{7}+(1+\beta _{2})q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots\)
3941.1.g.a	$3941$	$1$	3941.g	3941.g	$6$	$18$	$9$	$1.967$	\(\Q(\zeta_{54})\)	$D_{27}$	\(\Q(\sqrt{-563}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{54}^{5}-\zeta_{54}^{13})q^{3}-\zeta_{54}^{9}q^{4}+\cdots\)
563.3.b.a	$563$	$3$	563.b	563.b	$2$	$9$	$9$	$15.341$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	\(\Q(\sqrt{-563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+4q^{4}+(-\beta _{1}-\beta _{8})q^{7}+(9+\cdots)q^{9}+\cdots\)
2252.3.d.a	$2252$	$3$	2252.d	563.b	$2$	$18$	$18$	$61.363$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	\(\Q(\sqrt{-563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{12}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+\beta _{13}q^{7}+(9+\beta _{6}-\beta _{7})q^{9}+\cdots\)