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Results (21 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1007.1.d.a	$1007$	$1$	1007.d	1007.d	$2$	$1$	$1$	$0.503$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(2\)		$1$		\(q-q^{2}-q^{3}+q^{6}+2q^{7}+q^{8}-q^{11}+\cdots\)
1007.1.d.b	$1007$	$1$	1007.d	1007.d	$2$	$1$	$1$	$0.503$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(2\)		$1$		\(q+q^{2}+q^{3}+q^{6}+2q^{7}-q^{8}-q^{11}+\cdots\)
1007.1.d.c	$1007$	$1$	1007.d	1007.d	$2$	$2$	$2$	$0.503$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)		$1$		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
1007.1.d.d	$1007$	$1$	1007.d	1007.d	$2$	$2$	$2$	$0.503$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-1\)		$1$		\(q+(1-\beta )q^{2}+\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
1007.1.d.e	$1007$	$1$	1007.d	1007.d	$2$	$4$	$4$	$0.503$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-2\)		$1$		\(q-\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1007.1.d.f	$1007$	$1$	1007.d	1007.d	$2$	$4$	$4$	$0.503$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-1007}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(-2\)		$1$		\(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
1007.2.a.a	$1007$	$2$	1007.a	1.a	$1$	$1$	$1$	$8.041$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(2\)	\(0\)	\(-3\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-3q^{5}-q^{7}-3q^{9}+\cdots\)
1007.2.a.b	$1007$	$2$	1007.a	1.a	$1$	$12$	$12$	$8.041$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(1\)	\(-4\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{10}q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{6}q^{5}+\cdots\)
1007.2.a.c	$1007$	$2$	1007.a	1.a	$1$	$12$	$12$	$8.041$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(-5\)	\(-2\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
1007.2.a.d	$1007$	$2$	1007.a	1.a	$1$	$26$	$26$	$8.041$		$_{}$	None	None	✓	$1$	$0$	\(6\)	\(9\)	\(4\)	\(8\)	$-$		$\mathrm{SU}(2)$
1007.2.a.e	$1007$	$2$	1007.a	1.a	$1$	$28$	$28$	$8.041$		$_{}$	None	None	✓	$1$	$0$	\(3\)	\(-1\)	\(5\)	\(15\)	$-$		$\mathrm{SU}(2)$
1007.2.b.a	$1007$	$2$	1007.b	53.b	$2$	$80$	$80$	$8.041$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(12\)			$\mathrm{SU}(2)[C_{2}]$
1007.4.a.a	$1007$	$4$	1007.a	1.a	$1$	$1$	$1$	$59.415$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-3\)	\(10\)	\(11\)	\(10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+10q^{3}+q^{4}+11q^{5}-30q^{6}+\cdots\)
1007.4.a.b	$1007$	$4$	1007.a	1.a	$1$	$50$	$50$	$59.415$		$_{}$	None	None	✓	$1$	$1$	\(-6\)	\(3\)	\(-16\)	\(-62\)	$-$		$\mathrm{SU}(2)$
1007.4.a.c	$1007$	$4$	1007.a	1.a	$1$	$52$	$52$	$59.415$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-27\)	\(-30\)	\(-108\)	$-$		$\mathrm{SU}(2)$
1007.4.a.d	$1007$	$4$	1007.a	1.a	$1$	$64$	$64$	$59.415$		$_{}$	None	None	✓	$1$	$0$	\(9\)	\(-13\)	\(33\)	\(96\)	$+$		$\mathrm{SU}(2)$
1007.4.a.e	$1007$	$4$	1007.a	1.a	$1$	$67$	$67$	$59.415$		$_{}$	None	None	✓	$1$	$0$	\(12\)	\(27\)	\(30\)	\(60\)	$+$		$\mathrm{SU}(2)$
1007.6.a.a	$1007$	$6$	1007.a	1.a	$1$	$89$	$89$	$161.507$		$_{}$	None	None	✓	$1$	$1$	\(-24\)	\(-81\)	\(-231\)	\(-635\)	$+$		$\mathrm{SU}(2)$
1007.6.a.b	$1007$	$6$	1007.a	1.a	$1$	$91$	$91$	$161.507$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(9\)	\(-130\)	\(-482\)	$+$		$\mathrm{SU}(2)$
1007.6.a.c	$1007$	$6$	1007.a	1.a	$1$	$104$	$104$	$161.507$		$_{}$	None	None	✓	$1$	$0$	\(24\)	\(81\)	\(69\)	\(541\)	$-$		$\mathrm{SU}(2)$
1007.6.a.d	$1007$	$6$	1007.a	1.a	$1$	$106$	$106$	$161.507$		$_{}$	None	None	✓	$1$	$0$	\(12\)	\(-9\)	\(170\)	\(694\)	$-$		$\mathrm{SU}(2)$