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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
503.1.b.a	$503$	$1$	503.b	503.b	$2$	$1$	$1$	$0.251$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-503}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-2q^{6}-q^{7}+4q^{8}+\cdots\)
503.1.b.b	$503$	$1$	503.b	503.b	$2$	$3$	$3$	$0.251$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-503}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
503.1.b.c	$503$	$1$	503.b	503.b	$2$	$6$	$6$	$0.251$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-503}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta _{3}q^{2}+\beta _{4}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots\)
3521.1.f.b	$3521$	$1$	3521.f	3521.f	$6$	$6$	$3$	$1.757$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-503}) \)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{18}^{3}q^{2}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{3}+(-\zeta_{18}^{2}+\cdots)q^{6}+\cdots\)
3521.1.f.c	$3521$	$1$	3521.f	3521.f	$6$	$36$	$18$	$1.757$	\(\Q(\zeta_{63})\)	$D_{63}$	\(\Q(\sqrt{-503}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{126}^{51}+\zeta_{126}^{54})q^{2}+(\zeta_{126}^{40}+\cdots)q^{3}+\cdots\)
503.3.b.a	$503$	$3$	503.b	503.b	$2$	$21$	$21$	$13.706$		$_{}$	\(\Q(\sqrt{-503}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$