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Results (11 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2033.1.g.a	$2033$	$1$	2033.g	2033.g	$6$	$4$	$2$	$1.015$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$1$		\(q-\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}q^{5}-\zeta_{12}^{5}q^{6}+\cdots\)
2033.1.g.b	$2033$	$1$	2033.g	2033.g	$6$	$6$	$3$	$1.015$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{3}-\zeta_{18}^{3}q^{4}+(-\zeta_{18}^{3}+\cdots)q^{9}+\cdots\)
2033.1.l.a	$2033$	$1$	2033.l	2033.l	$18$	$18$	$3$	$1.015$	\(\Q(\zeta_{54})\)	$D_{27}$	\(\Q(\sqrt{-107}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{54}+\zeta_{54}^{20})q^{3}+\zeta_{54}^{12}q^{4}+\cdots\)
2033.2.a.a	$2033$	$2$	2033.a	1.a	$1$	$36$	$36$	$16.234$		$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(-11\)	\(-4\)	\(-36\)	$+$		$\mathrm{SU}(2)$
2033.2.a.b	$2033$	$2$	2033.a	1.a	$1$	$37$	$37$	$16.234$		$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(-3\)	\(-9\)	\(-39\)	$+$		$\mathrm{SU}(2)$
2033.2.a.c	$2033$	$2$	2033.a	1.a	$1$	$42$	$42$	$16.234$		$_{}$	None	None	✓	$1$	$0$	\(7\)	\(11\)	\(2\)	\(38\)	$-$		$\mathrm{SU}(2)$
2033.2.a.d	$2033$	$2$	2033.a	1.a	$1$	$44$	$44$	$16.234$		$_{}$	None	None	✓	$1$	$0$	\(4\)	\(3\)	\(3\)	\(43\)	$-$		$\mathrm{SU}(2)$
2033.4.a.a	$2033$	$4$	2033.a	1.a	$1$	$115$	$115$	$119.951$		$_{}$	None	None	✓	$1$	$1$	\(-10\)	\(-10\)	\(-29\)	\(-258\)	$-$		$\mathrm{SU}(2)$
2033.4.a.b	$2033$	$4$	2033.a	1.a	$1$	$117$	$117$	$119.951$		$_{}$	None	None	✓	$1$	$1$	\(-16\)	\(-34\)	\(-43\)	\(-318\)	$-$		$\mathrm{SU}(2)$
2033.4.a.c	$2033$	$4$	2033.a	1.a	$1$	$122$	$122$	$119.951$		$_{}$	None	None	✓	$1$	$0$	\(8\)	\(8\)	\(31\)	\(316\)	$+$		$\mathrm{SU}(2)$
2033.4.a.d	$2033$	$4$	2033.a	1.a	$1$	$124$	$124$	$119.951$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(44\)	\(17\)	\(256\)	$+$		$\mathrm{SU}(2)$