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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1388.1.d.a	$1388$	$1$	1388.d	347.b	$2$	$1$	$1$	$0.693$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-347}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$1$		\(q-q^{3}-q^{11}+2q^{13}+q^{25}+q^{27}+\cdots\)
1388.1.d.b	$1388$	$1$	1388.d	347.b	$2$	$4$	$4$	$0.693$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-347}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)		$1$		\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(-\beta _{2}-\beta _{3})q^{11}+\cdots\)
1388.2.a.a	$1388$	$2$	1388.a	1.a	$1$	$2$	$2$	$11.083$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
1388.2.a.b	$1388$	$2$	1388.a	1.a	$1$	$6$	$6$	$11.083$	6.6.26585152.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-12\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-\beta _{1}-\beta _{4})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1388.2.a.c	$1388$	$2$	1388.a	1.a	$1$	$6$	$6$	$11.083$	6.6.10149241.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\beta _{5})q^{5}-\beta _{4}q^{7}+\cdots\)
1388.2.a.d	$1388$	$2$	1388.a	1.a	$1$	$15$	$15$	$11.083$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(8\)	\(-2\)	\(21\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-\beta _{9}q^{5}+(1+\beta _{5})q^{7}+\cdots\)
1388.3.d.a	$1388$	$3$	1388.d	347.b	$2$	$10$	$10$	$37.820$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	\(\Q(\sqrt{-347}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{6}\cdot 5^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+(9+2\beta _{4}+\beta _{6})q^{9}+(-\beta _{4}+\cdots)q^{11}+\cdots\)
1388.3.d.b	$1388$	$3$	1388.d	347.b	$2$	$48$	$48$	$37.820$		$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1388.4.a.a	$1388$	$4$	1388.a	1.a	$1$	$41$	$41$	$81.895$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-26\)	\(-1\)	\(-106\)	$-$		$\mathrm{SU}(2)$
1388.4.a.b	$1388$	$4$	1388.a	1.a	$1$	$46$	$46$	$81.895$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(28\)	\(-1\)	\(90\)	$+$		$\mathrm{SU}(2)$