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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
523.1.b.a	$523$	$1$	523.b	523.b	$2$	$2$	$2$	$0.261$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-523}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
2092.1.b.a	$2092$	$1$	2092.b	523.b	$2$	$1$	$1$	$1.044$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-523}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+2q^{7}+q^{9}+2q^{11}-q^{13}-q^{17}+\cdots\)
2092.1.b.c	$2092$	$1$	2092.b	523.b	$2$	$4$	$4$	$1.044$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-523}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\beta _{3}q^{7}+q^{9}+(-1-\beta _{3})q^{11}+\beta _{1}q^{13}+\cdots\)
3661.1.r.a	$3661$	$1$	3661.r	3661.r	$6$	$2$	$1$	$1.827$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-523}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots\)
3661.1.r.b	$3661$	$1$	3661.r	3661.r	$6$	$8$	$4$	$1.827$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-523}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\zeta_{30}^{10}q^{4}-\zeta_{30}^{7}q^{7}-\zeta_{30}^{5}q^{9}+\cdots\)
523.3.b.a	$523$	$3$	523.b	523.b	$2$	$5$	$5$	$14.251$	5.5.854778125.1	$_{}$	\(\Q(\sqrt{-523}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(2\beta _{2}-\beta _{3})q^{7}+9q^{9}+(-3\beta _{1}+\cdots)q^{11}+\cdots\)
2092.3.b.a	$2092$	$3$	2092.b	523.b	$2$	$10$	$10$	$57.003$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	\(\Q(\sqrt{-523}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}-\beta _{8})q^{7}+9q^{9}+(-2\beta _{3}+\beta _{5}+\cdots)q^{11}+\cdots\)