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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
519.1.d.a	$519$	$1$	519.d	519.d	$2$	$1$	$1$	$0.259$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-519}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}-q^{5}-q^{6}+q^{8}+q^{9}+\cdots\)
519.1.d.b	$519$	$1$	519.d	519.d	$2$	$1$	$1$	$0.259$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-519}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{5}-q^{6}-q^{8}+q^{9}+\cdots\)
519.1.d.c	$519$	$1$	519.d	519.d	$2$	$3$	$3$	$0.259$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-519}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
519.1.d.d	$519$	$1$	519.d	519.d	$2$	$3$	$3$	$0.259$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-519}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
2595.1.e.e	$2595$	$1$	2595.e	2595.e	$2$	$2$	$2$	$1.295$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-519}) \)	\(\Q(\sqrt{865}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-3q^{4}+iq^{5}-2q^{6}+\cdots\)
2595.1.e.f	$2595$	$1$	2595.e	2595.e	$2$	$4$	$4$	$1.295$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-519}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{12}^{3}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+q^{6}+\cdots\)
2595.1.e.g	$2595$	$1$	2595.e	2595.e	$2$	$12$	$12$	$1.295$	\(\Q(\zeta_{36})\)	$D_{18}$	\(\Q(\sqrt{-519}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{36}^{7}-\zeta_{36}^{11})q^{2}+\zeta_{36}^{9}q^{3}+\cdots\)
1557.2.b.c	$1557$	$2$	1557.b	173.b	$2$	$18$	$18$	$12.433$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	$_{}$	\(\Q(\sqrt{-519}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)