Learn more

Refine search


Results (1-50 of 12085 matches)

Next   Download to        
Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1.12.a.a 1.a 1.a $1$ $0.768$ \(\Q\) None \(-24\) \(252\) \(4830\) \(-16744\) $+$ $\mathrm{SU}(2)$ \(q-24q^{2}+252q^{3}-1472q^{4}+4830q^{5}+\cdots\)
2.10.a.a 2.a 1.a $1$ $1.030$ \(\Q\) None \(16\) \(-156\) \(870\) \(-952\) $-$ $\mathrm{SU}(2)$ \(q+2^{4}q^{2}-156q^{3}+2^{8}q^{4}+870q^{5}+\cdots\)
3.9.b.a 3.b 3.b $2$ $1.222$ \(\Q(\sqrt{-14}) \) None \(0\) \(90\) \(0\) \(-3500\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{2}+(45-3\beta )q^{3}-248q^{4}-10\beta q^{5}+\cdots\)
1.16.a.a 1.a 1.a $1$ $1.427$ \(\Q\) None \(216\) \(-3348\) \(52110\) \(2822456\) $+$ $\mathrm{SU}(2)$ \(q+6^{3}q^{2}-3348q^{3}+13888q^{4}+52110q^{5}+\cdots\)
3.10.a.a 3.a 1.a $1$ $1.545$ \(\Q\) None \(-36\) \(-81\) \(-1314\) \(-4480\) $+$ $\mathrm{SU}(2)$ \(q-6^{2}q^{2}-3^{4}q^{3}+28^{2}q^{4}-1314q^{5}+\cdots\)
3.10.a.b 3.a 1.a $1$ $1.545$ \(\Q\) None \(18\) \(81\) \(-1530\) \(9128\) $-$ $\mathrm{SU}(2)$ \(q+18q^{2}+3^{4}q^{3}-188q^{4}-1530q^{5}+\cdots\)
4.9.b.a 4.b 4.b $1$ $1.630$ \(\Q\) \(\Q(\sqrt{-1}) \) \(16\) \(0\) \(-1054\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2^{4}q^{2}+2^{8}q^{4}-1054q^{5}+2^{12}q^{8}+\cdots\)
4.9.b.b 4.b 4.b $2$ $1.630$ \(\Q(\sqrt{-39}) \) None \(-20\) \(0\) \(1220\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-10-\beta )q^{2}-8\beta q^{3}+(-56+20\beta )q^{4}+\cdots\)
3.11.b.a 3.b 3.b $2$ $1.906$ \(\Q(\sqrt{-5}) \) None \(0\) \(-54\) \(0\) \(34468\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{2}+(-3^{3}+9\beta )q^{3}+304q^{4}+\cdots\)
5.9.c.a 5.c 5.c $6$ $2.037$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-2\) \(-72\) \(220\) \(-2352\) $\mathrm{SU}(2)[C_{4}]$ \(q-\beta _{3}q^{2}+(-12-12\beta _{1}-\beta _{2}-\beta _{5})q^{3}+\cdots\)
4.10.a.a 4.a 1.a $1$ $2.060$ \(\Q\) None \(0\) \(228\) \(-666\) \(-6328\) $-$ $\mathrm{SU}(2)$ \(q+228q^{3}-666q^{5}-6328q^{7}+32301q^{9}+\cdots\)
2.14.a.a 2.a 1.a $1$ $2.145$ \(\Q\) None \(-64\) \(-1836\) \(3990\) \(-433432\) $+$ $\mathrm{SU}(2)$ \(q-2^{6}q^{2}-1836q^{3}+2^{12}q^{4}+3990q^{5}+\cdots\)
2.14.a.b 2.a 1.a $1$ $2.145$ \(\Q\) None \(64\) \(1236\) \(-57450\) \(64232\) $-$ $\mathrm{SU}(2)$ \(q+2^{6}q^{2}+1236q^{3}+2^{12}q^{4}-57450q^{5}+\cdots\)
3.12.a.a 3.a 1.a $1$ $2.305$ \(\Q\) None \(78\) \(-243\) \(-5370\) \(-27760\) $+$ $\mathrm{SU}(2)$ \(q+78q^{2}-3^{5}q^{3}+4036q^{4}-5370q^{5}+\cdots\)
6.9.b.a 6.b 3.b $2$ $2.444$ \(\Q(\sqrt{-2}) \) None \(0\) \(-126\) \(0\) \(5572\) $\mathrm{SU}(2)[C_{2}]$ \(q+2\beta q^{2}+(-63+9\beta )q^{3}-2^{7}q^{4}+\cdots\)
4.11.b.a 4.b 4.b $4$ $2.541$ 4.0.26777625.2 None \(-12\) \(0\) \(-1560\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-3+\beta _{1})q^{2}+(-2\beta _{1}+\beta _{2})q^{3}+\cdots\)
5.10.a.a 5.a 1.a $1$ $2.575$ \(\Q\) None \(-8\) \(-114\) \(-625\) \(4242\) $+$ $\mathrm{SU}(2)$ \(q-8q^{2}-114q^{3}-448q^{4}-5^{4}q^{5}+\cdots\)
5.10.a.b 5.a 1.a $2$ $2.575$ \(\Q(\sqrt{1009}) \) None \(-10\) \(260\) \(1250\) \(1700\) $-$ $\mathrm{SU}(2)$ \(q+(-5-\beta )q^{2}+(130+2\beta )q^{3}+(522+\cdots)q^{4}+\cdots\)
5.10.b.a 5.b 5.b $4$ $2.575$ 4.0.49740556.1 None \(0\) \(0\) \(1140\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-342+\cdots)q^{4}+\cdots\)
3.13.b.a 3.b 3.b $1$ $2.742$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(729\) \(0\) \(-153502\) $\mathrm{U}(1)[D_{2}]$ \(q+3^{6}q^{3}+2^{12}q^{4}-153502q^{7}+3^{12}q^{9}+\cdots\)
3.13.b.b 3.b 3.b $2$ $2.742$ \(\Q(\sqrt{-26}) \) None \(0\) \(-1350\) \(0\) \(80500\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{2}+(-675-3\beta )q^{3}-4328q^{4}+\cdots\)
7.9.b.a 7.b 7.b $1$ $2.852$ \(\Q\) \(\Q(\sqrt{-7}) \) \(-31\) \(0\) \(0\) \(2401\) $\mathrm{U}(1)[D_{2}]$ \(q-31q^{2}+705q^{4}+7^{4}q^{7}-13919q^{8}+\cdots\)
7.9.b.b 7.b 7.b $4$ $2.852$ \(\mathbb{Q}[x]/(x^{4} + \cdots)\) None \(32\) \(0\) \(0\) \(1428\) $\mathrm{SU}(2)[C_{2}]$ \(q+(8+\beta _{3})q^{2}-\beta _{1}q^{3}+(-8+2^{4}\beta _{3})q^{4}+\cdots\)
7.9.d.a 7.d 7.d $8$ $2.852$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(-4\) \(-84\) \(-840\) \(-140\) $\mathrm{SU}(2)[C_{6}]$ \(q+(-\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(-7+7\beta _{2}+\cdots)q^{3}+\cdots\)
2.16.a.a 2.a 1.a $1$ $2.854$ \(\Q\) None \(-128\) \(6252\) \(90510\) \(56\) $+$ $\mathrm{SU}(2)$ \(q-2^{7}q^{2}+6252q^{3}+2^{14}q^{4}+90510q^{5}+\cdots\)
4.12.a.a 4.a 1.a $1$ $3.073$ \(\Q\) None \(0\) \(-516\) \(-10530\) \(49304\) $-$ $\mathrm{SU}(2)$ \(q-516q^{3}-10530q^{5}+49304q^{7}+\cdots\)
6.10.a.a 6.a 1.a $1$ $3.090$ \(\Q\) None \(-16\) \(81\) \(2694\) \(-3544\) $-$ $\mathrm{SU}(2)$ \(q-2^{4}q^{2}+3^{4}q^{3}+2^{8}q^{4}+2694q^{5}+\cdots\)
5.11.c.a 5.c 5.c $8$ $3.177$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(30\) \(60\) \(-5340\) \(-14500\) $\mathrm{SU}(2)[C_{4}]$ \(q+(4+4\beta _{1}-\beta _{3})q^{2}+(8-8\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
3.14.a.a 3.a 1.a $1$ $3.217$ \(\Q\) None \(-12\) \(-729\) \(-30210\) \(235088\) $+$ $\mathrm{SU}(2)$ \(q-12q^{2}-3^{6}q^{3}-8048q^{4}-30210q^{5}+\cdots\)
3.14.a.b 3.a 1.a $2$ $3.217$ \(\Q(\sqrt{1969}) \) None \(-54\) \(1458\) \(40716\) \(-21008\) $-$ $\mathrm{SU}(2)$ \(q+(-3^{3}-\beta )q^{2}+3^{6}q^{3}+(10258+54\beta )q^{4}+\cdots\)
8.9.d.a 8.d 8.d $1$ $3.259$ \(\Q\) \(\Q(\sqrt{-2}) \) \(16\) \(34\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+2^{4}q^{2}+34q^{3}+2^{8}q^{4}+544q^{6}+\cdots\)
8.9.d.b 8.d 8.d $6$ $3.259$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-14\) \(-36\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-2+\beta _{1})q^{2}+(-6-\beta _{1}-\beta _{2})q^{3}+\cdots\)
7.10.a.a 7.a 1.a $2$ $3.605$ \(\Q(\sqrt{193}) \) None \(-6\) \(-86\) \(-2238\) \(-4802\) $+$ $\mathrm{SU}(2)$ \(q+(-3-\beta )q^{2}+(-43+11\beta )q^{3}+(-310+\cdots)q^{4}+\cdots\)
7.10.a.b 7.a 1.a $3$ $3.605$ \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(21\) \(84\) \(1554\) \(7203\) $-$ $\mathrm{SU}(2)$ \(q+(7-\beta _{2})q^{2}+(28-\beta _{1}-\beta _{2})q^{3}+(519+\cdots)q^{4}+\cdots\)
7.10.c.a 7.c 7.c $10$ $3.605$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-18\) \(161\) \(1533\) \(-1036\) $\mathrm{SU}(2)[C_{3}]$ \(q+(-\beta _{1}+\beta _{2}-4\beta _{3})q^{2}+(33-\beta _{1}+\cdots)q^{3}+\cdots\)
4.13.b.a 4.b 4.b $1$ $3.656$ \(\Q\) \(\Q(\sqrt{-1}) \) \(-64\) \(0\) \(23506\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q-2^{6}q^{2}+2^{12}q^{4}+23506q^{5}-2^{18}q^{8}+\cdots\)
4.13.b.b 4.b 4.b $4$ $3.656$ 4.0.8546467905.1 None \(108\) \(0\) \(-18360\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+(3^{3}+\beta _{1})q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(-380+\cdots)q^{4}+\cdots\)
9.9.b.a 9.b 3.b $2$ $3.666$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(3304\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta q^{2}+238q^{4}+233\beta q^{5}+1652q^{7}+\cdots\)
9.9.d.a 9.d 9.d $14$ $3.666$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-93\) \(438\) \(922\) $\mathrm{SU}(2)[C_{6}]$ \(q-\beta _{1}q^{2}+(-5-3\beta _{3}+\beta _{4}+\beta _{6})q^{3}+\cdots\)
3.15.b.a 3.b 3.b $4$ $3.730$ 4.0.1929141760.2 None \(0\) \(2196\) \(0\) \(825608\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(549+3\beta _{1}-\beta _{2})q^{3}+(-9824+\cdots)q^{4}+\cdots\)
6.11.b.a 6.b 3.b $4$ $3.812$ \(\Q(\sqrt{-2}, \sqrt{85})\) None \(0\) \(84\) \(0\) \(-45112\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+(21-3\beta _{1}+\beta _{2})q^{3}-2^{9}q^{4}+\cdots\)
5.12.a.a 5.a 1.a $1$ $3.842$ \(\Q\) None \(34\) \(-792\) \(3125\) \(-17556\) $-$ $\mathrm{SU}(2)$ \(q+34q^{2}-792q^{3}-892q^{4}+5^{5}q^{5}+\cdots\)
5.12.a.b 5.a 1.a $2$ $3.842$ \(\Q(\sqrt{151}) \) None \(-20\) \(-220\) \(-6250\) \(57900\) $+$ $\mathrm{SU}(2)$ \(q+(-10+3\beta )q^{2}+(-110+2^{4}\beta )q^{3}+\cdots\)
5.12.b.a 5.b 5.b $4$ $3.842$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(0\) \(-300\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(-18-\beta _{2})q^{4}+\cdots\)
10.9.c.a 10.c 5.c $4$ $4.074$ \(\Q(i, \sqrt{249})\) None \(-32\) \(54\) \(90\) \(-1186\) $\mathrm{SU}(2)[C_{4}]$ \(q+(-8+8\beta _{1})q^{2}+(13+13\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
10.9.c.b 10.c 5.c $4$ $4.074$ \(\Q(i, \sqrt{601})\) None \(32\) \(86\) \(-870\) \(5726\) $\mathrm{SU}(2)[C_{4}]$ \(q+(8+8\beta _{1})q^{2}+(22-21\beta _{1}+\beta _{3})q^{3}+\cdots\)
8.10.a.a 8.a 1.a $1$ $4.120$ \(\Q\) None \(0\) \(-60\) \(-2074\) \(-4344\) $+$ $\mathrm{SU}(2)$ \(q-60q^{3}-2074q^{5}-4344q^{7}-16083q^{9}+\cdots\)
8.10.a.b 8.a 1.a $1$ $4.120$ \(\Q\) None \(0\) \(68\) \(1510\) \(10248\) $-$ $\mathrm{SU}(2)$ \(q+68q^{3}+1510q^{5}+10248q^{7}-15059q^{9}+\cdots\)
8.10.b.a 8.b 8.b $8$ $4.120$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-18\) \(0\) \(0\) \(4800\) $\mathrm{SU}(2)[C_{2}]$ \(q+(-2-\beta _{1})q^{2}+(\beta _{1}+\beta _{3})q^{3}+(-54+\cdots)q^{4}+\cdots\)
3.16.a.a 3.a 1.a $1$ $4.281$ \(\Q\) None \(-234\) \(-2187\) \(280710\) \(-1373344\) $+$ $\mathrm{SU}(2)$ \(q-234q^{2}-3^{7}q^{3}+21988q^{4}+280710q^{5}+\cdots\)
Next   Download to