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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3307.1.b.a	$3307$	$1$	3307.b	3307.b	$2$	$1$	$1$	$1.650$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3307}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{9}-q^{11}+q^{16}-q^{17}+\cdots\)
3307.1.b.b	$3307$	$1$	3307.b	3307.b	$2$	$3$	$3$	$1.650$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3307}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}-\beta _{1}q^{7}+q^{9}+(\beta _{1}-\beta _{2})q^{11}+\cdots\)
3307.2.a.a	$3307$	$2$	3307.a	1.a	$1$	$2$	$2$	$26.407$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+(2+\cdots)q^{5}+\cdots\)
3307.2.a.b	$3307$	$2$	3307.a	1.a	$1$	$129$	$129$	$26.407$		$_{}$	None	None	✓	$1$	$1$	\(-29\)	\(-14\)	\(-62\)	\(-18\)	$+$		$\mathrm{SU}(2)$
3307.2.a.c	$3307$	$2$	3307.a	1.a	$1$	$144$	$144$	$26.407$		$_{}$	None	None	✓	$1$	$0$	\(27\)	\(12\)	\(58\)	\(14\)	$-$		$\mathrm{SU}(2)$