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Results (1-50 of 3517 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
8001.2.a.h	$8001$	$2$	8001.a	1.a	$1$	$2$	$2$	$63.888$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(2+\beta )q^{4}+(-1-\beta )q^{5}-q^{7}+\cdots\)
8001.2.a.i	$8001$	$2$	8001.a	1.a	$1$	$2$	$2$	$63.888$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+(1+\beta )q^{5}-q^{7}+(2-2\beta )q^{11}+\cdots\)
8001.2.a.j	$8001$	$2$	8001.a	1.a	$1$	$2$	$2$	$63.888$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{5}+q^{7}-2\beta q^{8}-2q^{10}+\cdots\)
8001.2.a.k	$8001$	$2$	8001.a	1.a	$1$	$2$	$2$	$63.888$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+\beta q^{5}+q^{7}+2\beta q^{8}+\cdots\)
8005.2.a.c	$8005$	$2$	8005.a	1.a	$1$	$2$	$2$	$63.920$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
8005.2.a.d	$8005$	$2$	8005.a	1.a	$1$	$2$	$2$	$63.920$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}-q^{4}-q^{5}+\beta q^{6}-\beta q^{7}+\cdots\)
8007.2.a.b	$8007$	$2$	8007.a	1.a	$1$	$2$	$2$	$63.936$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(2\)	\(-4\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots\)
8008.2.a.f	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.g	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.h	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(5\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+3\beta )q^{9}+\cdots\)
8010.2.a.o	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.p	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.q	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(-3+\beta )q^{7}-q^{8}+\cdots\)
8010.2.a.r	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+\beta q^{7}-q^{8}-q^{10}+\cdots\)
8010.2.a.s	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+\beta q^{7}+q^{8}-q^{10}+\cdots\)
8010.2.a.t	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.u	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.v	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.w	$8010$	$2$	8010.a	1.a	$1$	$2$	$2$	$63.960$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
8014.2.a.a	$8014$	$2$	8014.a	1.a	$1$	$2$	$2$	$63.992$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2\beta q^{3}+q^{4}+\beta q^{5}-2\beta q^{6}+\cdots\)
8016.2.a.k	$8016$	$2$	8016.a	1.a	$1$	$2$	$2$	$64.008$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}+2\beta q^{7}+q^{9}+\cdots\)
8018.2.a.b	$8018$	$2$	8018.a	1.a	$1$	$2$	$2$	$64.024$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-1+2\beta )q^{5}+\cdots\)
8018.2.a.c	$8018$	$2$	8018.a	1.a	$1$	$2$	$2$	$64.024$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1+2\beta )q^{5}+\cdots\)
8020.2.a.b	$8020$	$2$	8020.a	1.a	$1$	$2$	$2$	$64.040$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-q^{5}+2\beta q^{7}+(1-2\beta )q^{9}+\cdots\)
8022.2.a.j	$8022$	$2$	8022.a	1.a	$1$	$2$	$2$	$64.056$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.k	$8022$	$2$	8022.a	1.a	$1$	$2$	$2$	$64.056$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
8024.2.a.p	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}+(-2+\beta )q^{7}+\cdots\)
8024.2.a.q	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
8024.2.a.r	$8024$	$2$	8024.a	1.a	$1$	$2$	$2$	$64.072$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(0\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2-\beta )q^{5}+\beta q^{7}-2q^{9}+\cdots\)
8025.2.a.r	$8025$	$2$	8025.a	1.a	$1$	$2$	$2$	$64.080$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
8025.2.a.s	$8025$	$2$	8025.a	1.a	$1$	$2$	$2$	$64.080$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
8028.2.a.g	$8028$	$2$	8028.a	1.a	$1$	$2$	$2$	$64.104$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-4q^{7}-2\beta q^{11}+2q^{13}+2q^{19}+\cdots\)
8028.2.a.h	$8028$	$2$	8028.a	1.a	$1$	$2$	$2$	$64.104$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{5}+2\beta q^{7}+(4+\beta )q^{11}+\cdots\)
8030.2.a.k	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.l	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-2\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.m	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.n	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.o	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(-2\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots\)
8030.2.a.p	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(-2\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots\)
8030.2.a.q	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(-2\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8034.2.a.l	$8034$	$2$	8034.a	1.a	$1$	$2$	$2$	$64.152$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
8034.2.a.m	$8034$	$2$	8034.a	1.a	$1$	$2$	$2$	$64.152$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
8036.2.a.g	$8036$	$2$	8036.a	1.a	$1$	$2$	$2$	$64.168$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(1+\beta )q^{5}+(1+3\beta )q^{9}+\cdots\)
8040.2.a.m	$8040$	$2$	8040.a	1.a	$1$	$2$	$2$	$64.200$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
8043.2.a.l	$8043$	$2$	8043.a	1.a	$1$	$2$	$2$	$64.224$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
8046.2.a.c	$8046$	$2$	8046.a	1.a	$1$	$2$	$2$	$64.248$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2\beta q^{5}+(1-2\beta )q^{7}-q^{8}+\cdots\)
8046.2.a.d	$8046$	$2$	8046.a	1.a	$1$	$2$	$2$	$64.248$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2\beta q^{5}+(1+2\beta )q^{7}+q^{8}+\cdots\)
8047.2.a.a	$8047$	$2$	8047.a	1.a	$1$	$2$	$2$	$64.256$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-3\)	\(2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
8048.2.a.l	$8048$	$2$	8048.a	1.a	$1$	$2$	$2$	$64.264$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-1+\beta )q^{5}+(2+\beta )q^{7}+2q^{9}+\cdots\)
8050.2.a.v	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)