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Results (19 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1006.2.a.a	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{8}-3q^{9}+4q^{11}+2q^{13}+\cdots\)
1006.2.a.b	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-2\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
1006.2.a.c	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-3q^{6}-3q^{7}+q^{8}+\cdots\)
1006.2.a.d	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
1006.2.a.e	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-4\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots\)
1006.2.a.f	$1006$	$2$	1006.a	1.a	$1$	$2$	$2$	$8.033$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(-4\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
1006.2.a.g	$1006$	$2$	1006.a	1.a	$1$	$5$	$5$	$8.033$	5.5.36497.1	None	✓	$1$	$1$	\(-5\)	\(0\)	\(-1\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}-\beta _{3}+\beta _{4})q^{3}+q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
1006.2.a.h	$1006$	$2$	1006.a	1.a	$1$	$5$	$5$	$8.033$	5.5.205225.1	None	✓	$1$	$1$	\(5\)	\(-4\)	\(-3\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
1006.2.a.i	$1006$	$2$	1006.a	1.a	$1$	$12$	$12$	$8.033$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(-3\)	\(7\)	\(-2\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{4}q^{3}+q^{4}+(\beta _{7}-\beta _{10})q^{5}+\cdots\)
1006.2.a.j	$1006$	$2$	1006.a	1.a	$1$	$12$	$12$	$8.033$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(5\)	\(5\)	\(8\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{9}q^{5}+\beta _{1}q^{6}+\cdots\)
1006.3.b.a	$1006$	$3$	1006.b	503.b	$2$	$84$	$84$	$27.412$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(12\)			$\mathrm{SU}(2)[C_{2}]$
1006.4.a.a	$1006$	$4$	1006.a	1.a	$1$	$29$	$29$	$59.356$		None	✓	$1$	$1$	\(-58\)	\(7\)	\(-34\)	\(-3\)	$-$		$\mathrm{SU}(2)$
1006.4.a.b	$1006$	$4$	1006.a	1.a	$1$	$29$	$29$	$59.356$		None	✓	$1$	$1$	\(58\)	\(-25\)	\(-54\)	\(-77\)	$-$		$\mathrm{SU}(2)$
1006.4.a.c	$1006$	$4$	1006.a	1.a	$1$	$34$	$34$	$59.356$		None	✓	$1$	$0$	\(-68\)	\(-5\)	\(26\)	\(-17\)	$+$		$\mathrm{SU}(2)$
1006.4.a.d	$1006$	$4$	1006.a	1.a	$1$	$34$	$34$	$59.356$		None	✓	$1$	$0$	\(68\)	\(23\)	\(36\)	\(105\)	$+$		$\mathrm{SU}(2)$
1006.6.a.a	$1006$	$6$	1006.a	1.a	$1$	$50$	$50$	$161.346$		None	✓	$1$	$1$	\(-200\)	\(23\)	\(-139\)	\(50\)	$+$		$\mathrm{SU}(2)$
1006.6.a.b	$1006$	$6$	1006.a	1.a	$1$	$50$	$50$	$161.346$		None	✓	$1$	$1$	\(200\)	\(-77\)	\(-189\)	\(-756\)	$+$		$\mathrm{SU}(2)$
1006.6.a.c	$1006$	$6$	1006.a	1.a	$1$	$55$	$55$	$161.346$		None	✓	$1$	$0$	\(-220\)	\(-13\)	\(161\)	\(-48\)	$-$		$\mathrm{SU}(2)$
1006.6.a.d	$1006$	$6$	1006.a	1.a	$1$	$55$	$55$	$161.346$		None	✓	$1$	$0$	\(220\)	\(67\)	\(261\)	\(518\)	$-$		$\mathrm{SU}(2)$