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Results (1-50 of 21496 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
23.2.a.a	$23$	$2$	23.a	1.a	$1$	$2$	$2$	$0.184$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
29.2.a.a	$29$	$2$	29.a	1.a	$1$	$2$	$2$	$0.232$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-2\beta )q^{4}+\cdots\)
31.2.a.a	$31$	$2$	31.a	1.a	$1$	$2$	$2$	$0.248$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-2\beta q^{3}+(-1+\beta )q^{4}+q^{5}+\cdots\)
35.2.a.b	$35$	$2$	35.a	1.a	$1$	$2$	$2$	$0.279$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{3}+(2+\beta )q^{4}+q^{5}+\cdots\)
39.2.a.b	$39$	$2$	39.a	1.a	$1$	$2$	$2$	$0.311$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots\)
43.2.a.b	$43$	$2$	43.a	1.a	$1$	$2$	$2$	$0.343$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{3}+(2-\beta )q^{5}-2q^{6}+(-2+\cdots)q^{7}+\cdots\)
51.2.a.b	$51$	$2$	51.a	1.a	$1$	$2$	$2$	$0.407$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(3\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
55.2.a.b	$55$	$2$	55.a	1.a	$1$	$2$	$2$	$0.439$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-2\beta q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots\)
62.2.a.b	$62$	$2$	62.a	1.a	$1$	$2$	$2$	$0.495$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
63.2.a.b	$63$	$2$	63.a	1.a	$1$	$2$	$2$	$0.503$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-2\beta q^{5}+q^{7}-\beta q^{8}+\cdots\)
65.2.a.b	$65$	$2$	65.a	1.a	$1$	$2$	$2$	$0.519$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
65.2.a.c	$65$	$2$	65.a	1.a	$1$	$2$	$2$	$0.519$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+q^{4}-q^{5}+(-3+\cdots)q^{6}+\cdots\)
67.2.a.b	$67$	$2$	67.a	1.a	$1$	$2$	$2$	$0.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-6\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-2+\beta )q^{3}+3\beta q^{4}+\cdots\)
67.2.a.c	$67$	$2$	67.a	1.a	$1$	$2$	$2$	$0.535$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(4\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1-\beta )q^{3}+(-1+\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
68.2.a.a	$68$	$2$	68.a	1.a	$1$	$2$	$2$	$0.543$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-2\beta q^{5}+(-1-\beta )q^{7}+\cdots\)
69.2.a.b	$69$	$2$	69.a	1.a	$1$	$2$	$2$	$0.551$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+3q^{4}+(-1+\beta )q^{5}+\cdots\)
73.2.a.b	$73$	$2$	73.a	1.a	$1$	$2$	$2$	$0.583$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-3\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-2+\beta )q^{3}+3\beta q^{4}+\cdots\)
73.2.a.c	$73$	$2$	73.a	1.a	$1$	$2$	$2$	$0.583$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}-\beta q^{5}+\cdots\)
74.2.a.a	$74$	$2$	74.a	1.a	$1$	$2$	$2$	$0.591$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(-1\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
74.2.a.b	$74$	$2$	74.a	1.a	$1$	$2$	$2$	$0.591$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}+(-1+3\beta )q^{5}+\cdots\)
77.2.a.d	$77$	$2$	77.a	1.a	$1$	$2$	$2$	$0.615$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-4\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{3}+3q^{4}-2q^{5}+(-5+\cdots)q^{6}+\cdots\)
81.2.a.a	$81$	$2$	81.a	1.a	$1$	$2$	$2$	$0.647$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-\beta q^{5}+2q^{7}-\beta q^{8}+\cdots\)
11.4.a.a	$11$	$4$	11.a	1.a	$1$	$2$	$2$	$0.649$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(2\)	\(20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(-1-4\beta )q^{3}+(-4+2\beta )q^{4}+\cdots\)
82.2.a.b	$82$	$2$	82.a	1.a	$1$	$2$	$2$	$0.655$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
85.2.a.b	$85$	$2$	85.a	1.a	$1$	$2$	$2$	$0.679$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(-2-\beta )q^{3}+(1-2\beta )q^{4}+\cdots\)
85.2.a.c	$85$	$2$	85.a	1.a	$1$	$2$	$2$	$0.679$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-3+\cdots)q^{6}+\cdots\)
86.2.a.a	$86$	$2$	86.a	1.a	$1$	$2$	$2$	$0.687$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(3\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1+\beta )q^{5}+\beta q^{6}+\cdots\)
86.2.a.b	$86$	$2$	86.a	1.a	$1$	$2$	$2$	$0.687$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-3\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
87.2.a.a	$87$	$2$	87.a	1.a	$1$	$2$	$2$	$0.695$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(2\)	\(2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(2-2\beta )q^{5}+\cdots\)
88.2.a.b	$88$	$2$	88.a	1.a	$1$	$2$	$2$	$0.703$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}-2\beta q^{7}+(1+\beta )q^{9}+\cdots\)
91.2.a.c	$91$	$2$	91.a	1.a	$1$	$2$	$2$	$0.727$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{3}+(3+\beta )q^{5}-2q^{6}+q^{7}+\cdots\)
93.2.a.a	$93$	$2$	93.a	1.a	$1$	$2$	$2$	$0.743$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(-4\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-3+\cdots)q^{5}+\cdots\)
94.2.a.b	$94$	$2$	94.a	1.a	$1$	$2$	$2$	$0.751$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2\beta q^{3}+q^{4}+(2-\beta )q^{5}-2\beta q^{6}+\cdots\)
13.4.a.b	$13$	$4$	13.a	1.a	$1$	$2$	$2$	$0.767$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(5\)	\(-3\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(4-3\beta )q^{3}+(-4+\beta )q^{4}+\cdots\)
98.2.a.b	$98$	$2$	98.a	1.a	$1$	$2$	$2$	$0.783$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
103.2.a.a	$103$	$2$	103.a	1.a	$1$	$2$	$2$	$0.822$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(-3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
104.2.a.b	$104$	$2$	104.a	1.a	$1$	$2$	$2$	$0.830$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots\)
105.2.a.b	$105$	$2$	105.a	1.a	$1$	$2$	$2$	$0.838$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+3q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
107.2.a.a	$107$	$2$	107.a	1.a	$1$	$2$	$2$	$0.854$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(-3\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
110.2.a.d	$110$	$2$	110.a	1.a	$1$	$2$	$2$	$0.878$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(2\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+\beta q^{7}+\cdots\)
113.2.a.b	$113$	$2$	113.a	1.a	$1$	$2$	$2$	$0.902$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}-q^{4}-2\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
115.2.a.b	$115$	$2$	115.a	1.a	$1$	$2$	$2$	$0.918$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}-q^{5}+\cdots\)
117.2.a.b	$117$	$2$	117.a	1.a	$1$	$2$	$2$	$0.934$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+2q^{7}-\beta q^{8}-2\beta q^{11}+\cdots\)
117.2.a.c	$117$	$2$	117.a	1.a	$1$	$2$	$2$	$0.934$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}-2\beta q^{5}-2\beta q^{7}+\cdots\)
122.2.a.b	$122$	$2$	122.a	1.a	$1$	$2$	$2$	$0.974$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(0\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
123.2.a.c	$123$	$2$	123.a	1.a	$1$	$2$	$2$	$0.982$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(2-\beta )q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
125.2.a.a	$125$	$2$	125.a	1.a	$1$	$2$	$2$	$0.998$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(0\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
125.2.a.b	$125$	$2$	125.a	1.a	$1$	$2$	$2$	$0.998$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(3\)	\(0\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2-\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
129.2.a.c	$129$	$2$	129.a	1.a	$1$	$2$	$2$	$1.030$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
133.2.a.a	$133$	$2$	133.a	1.a	$1$	$2$	$2$	$1.062$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots\)