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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1.18.a.a \(1\) \(1.832\) \(\Q\) None \(-528\) \(-4284\) \(-1025850\) \(3225992\) \(+\) \(q-528q^{2}-4284q^{3}+147712q^{4}+\cdots\)
1.20.a.a \(1\) \(2.288\) \(\Q\) None \(456\) \(50652\) \(-2377410\) \(-16917544\) \(+\) \(q+456q^{2}+50652q^{3}-316352q^{4}+\cdots\)
1.22.a.a \(1\) \(2.795\) \(\Q\) None \(-288\) \(-128844\) \(21640950\) \(-768078808\) \(+\) \(q-288q^{2}-128844q^{3}-2014208q^{4}+\cdots\)
1.24.a.a \(2\) \(3.352\) \(\Q(\sqrt{144169}) \) None \(1080\) \(339480\) \(73069020\) \(-1359184400\) \(+\) \(q+(540-\beta )q^{2}+(169740+48\beta )q^{3}+\cdots\)
2.18.a.a \(1\) \(3.664\) \(\Q\) None \(256\) \(6084\) \(1255110\) \(-22465912\) \(-\) \(q+2^{8}q^{2}+78^{2}q^{3}+2^{16}q^{4}+1255110q^{5}+\cdots\)
1.26.a.a \(1\) \(3.960\) \(\Q\) None \(-48\) \(-195804\) \(-741989850\) \(39080597192\) \(+\) \(q-48q^{2}-195804q^{3}-33552128q^{4}+\cdots\)
2.20.a.a \(1\) \(4.576\) \(\Q\) None \(-512\) \(-13092\) \(6546750\) \(96674264\) \(+\) \(q-2^{9}q^{2}-13092q^{3}+2^{18}q^{4}+6546750q^{5}+\cdots\)
2.20.a.b \(1\) \(4.576\) \(\Q\) None \(512\) \(-53028\) \(-5556930\) \(-44496424\) \(-\) \(q+2^{9}q^{2}-53028q^{3}+2^{18}q^{4}-5556930q^{5}+\cdots\)
1.28.a.a \(2\) \(4.619\) \(\Q(\sqrt{18209}) \) None \(-8280\) \(-1286280\) \(5443587900\) \(-175391963600\) \(+\) \(q+(-4140-\beta )q^{2}+(-643140-192\beta )q^{3}+\cdots\)
3.17.b.a \(4\) \(4.870\) \(\mathbb{Q}[x]/(x^{4} + \cdots)\) None \(0\) \(-2052\) \(0\) \(-3141544\) \(q+\beta _{1}q^{2}+(-513+\beta _{1}+\beta _{2})q^{3}+(-3116+\cdots)q^{4}+\cdots\)
1.30.a.a \(2\) \(5.328\) \(\Q(\sqrt{51349}) \) None \(8640\) \(-4967640\) \(-17477788500\) \(-3\!\cdots\!00\) \(+\) \(q+(4320-\beta )q^{2}+(-2483820+552\beta )q^{3}+\cdots\)
3.18.a.a \(1\) \(5.497\) \(\Q\) None \(204\) \(-6561\) \(-163554\) \(-20846560\) \(+\) \(q+204q^{2}-3^{8}q^{3}-89456q^{4}-163554q^{5}+\cdots\)
3.18.a.b \(2\) \(5.497\) \(\Q(\sqrt{14569}) \) None \(594\) \(13122\) \(382860\) \(24471568\) \(-\) \(q+(297-\beta )q^{2}+3^{8}q^{3}+(88258-594\beta )q^{4}+\cdots\)
2.22.a.a \(1\) \(5.590\) \(\Q\) None \(-1024\) \(71604\) \(-28693770\) \(-853202392\) \(+\) \(q-2^{10}q^{2}+71604q^{3}+2^{20}q^{4}-28693770q^{5}+\cdots\)
2.22.a.b \(1\) \(5.590\) \(\Q\) None \(1024\) \(59316\) \(4975350\) \(1427425832\) \(-\) \(q+2^{10}q^{2}+59316q^{3}+2^{20}q^{4}+4975350q^{5}+\cdots\)
1.32.a.a \(2\) \(6.088\) \(\mathbb{Q}[x]/(x^{2} - \cdots)\) None \(39960\) \(17363160\) \(-19391218020\) \(30\!\cdots\!00\) \(+\) \(q+(19980-\beta )q^{2}+(8681580-432\beta )q^{3}+\cdots\)
3.19.b.a \(1\) \(6.162\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(-19683\) \(0\) \(77549186\) \(q-3^{9}q^{3}+2^{18}q^{4}+77549186q^{7}+\cdots\)
3.19.b.b \(4\) \(6.162\) 4.0.601940665.1 None \(0\) \(15876\) \(0\) \(-95744152\) \(q-\beta _{1}q^{2}+(63^{2}+11\beta _{1}+\beta _{2})q^{3}+(-263384+\cdots)q^{4}+\cdots\)
4.17.b.a \(1\) \(6.493\) \(\Q\) \(\Q(\sqrt{-1}) \) \(256\) \(0\) \(329666\) \(0\) \(q+2^{8}q^{2}+2^{16}q^{4}+329666q^{5}+2^{24}q^{8}+\cdots\)
4.17.b.b \(6\) \(6.493\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-164\) \(0\) \(-506740\) \(0\) \(q+(-3^{3}-\beta _{1})q^{2}+(1-3\beta _{1}+\beta _{2})q^{3}+\cdots\)
2.24.a.a \(1\) \(6.704\) \(\Q\) None \(-2048\) \(-505908\) \(-90135570\) \(6872255096\) \(+\) \(q-2^{11}q^{2}-505908q^{3}+2^{22}q^{4}+\cdots\)
3.20.a.a \(1\) \(6.865\) \(\Q\) None \(-1104\) \(19683\) \(3516270\) \(-195590584\) \(-\) \(q-1104q^{2}+3^{9}q^{3}+694528q^{4}+\cdots\)
3.20.a.b \(2\) \(6.865\) \(\Q(\sqrt{87481}) \) None \(702\) \(-39366\) \(6016140\) \(113892064\) \(+\) \(q+(351-\beta )q^{2}-3^{9}q^{3}+(386242-702\beta )q^{4}+\cdots\)
4.18.a.a \(2\) \(7.329\) \(\Q(\sqrt{9361}) \) None \(0\) \(-5880\) \(604044\) \(25350160\) \(-\) \(q+(-2940-\beta )q^{3}+(302022+6^{2}\beta )q^{5}+\cdots\)
3.21.b.a \(6\) \(7.605\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(-4122\) \(0\) \(559607916\) \(q+\beta _{1}q^{2}+(-687+11\beta _{1}+\beta _{2})q^{3}+\cdots\)
2.26.a.a \(1\) \(7.920\) \(\Q\) None \(-4096\) \(97956\) \(341005350\) \(-40882637368\) \(+\) \(q-2^{12}q^{2}+97956q^{3}+2^{24}q^{4}+341005350q^{5}+\cdots\)
2.26.a.b \(2\) \(7.920\) \(\Q(\sqrt{106705}) \) None \(8192\) \(379848\) \(741953100\) \(-376536944\) \(-\) \(q+2^{12}q^{2}+(189924-\beta )q^{3}+2^{24}q^{4}+\cdots\)
5.17.c.a \(14\) \(8.116\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(-2\) \(7908\) \(192880\) \(-386452\) \(q-\beta _{2}q^{2}+(565-3\beta _{1}-565\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots\)
4.19.b.a \(8\) \(8.215\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(84\) \(0\) \(860880\) \(0\) \(q+(11-\beta _{1})q^{2}-\beta _{2}q^{3}+(44007-9\beta _{1}+\cdots)q^{4}+\cdots\)
3.22.a.a \(1\) \(8.384\) \(\Q\) None \(-2844\) \(-59049\) \(3109950\) \(363303920\) \(+\) \(q-2844q^{2}-3^{10}q^{3}+5991184q^{4}+\cdots\)
3.22.a.b \(1\) \(8.384\) \(\Q\) None \(1728\) \(-59049\) \(-41512770\) \(538429808\) \(+\) \(q+12^{3}q^{2}-3^{10}q^{3}+888832q^{4}+\cdots\)
3.22.a.c \(2\) \(8.384\) \(\Q(\sqrt{649}) \) None \(666\) \(118098\) \(996876\) \(679896112\) \(-\) \(q+(333-\beta )q^{2}+3^{10}q^{3}+(589618+\cdots)q^{4}+\cdots\)
4.20.a.a \(1\) \(9.153\) \(\Q\) None \(0\) \(-36\) \(-196290\) \(-35905576\) \(-\) \(q-6^{2}q^{3}-196290q^{5}-35905576q^{7}+\cdots\)
5.18.a.a \(2\) \(9.161\) \(\Q(\sqrt{39}) \) None \(680\) \(-10980\) \(-781250\) \(-22820700\) \(+\) \(q+(340+\beta )q^{2}+(-5490-52\beta )q^{3}+\cdots\)
5.18.a.b \(3\) \(9.161\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(118\) \(15944\) \(1171875\) \(2139308\) \(-\) \(q+(39-\beta _{1})q^{2}+(5317+8\beta _{1}+\beta _{2})q^{3}+\cdots\)
5.18.b.a \(8\) \(9.161\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(379200\) \(0\) \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(-72387+\beta _{3}+\cdots)q^{4}+\cdots\)
3.23.b.a \(6\) \(9.201\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(86670\) \(0\) \(-3447063060\) \(q+\beta _{1}q^{2}+(14445-8\beta _{1}+\beta _{2})q^{3}+\cdots\)
2.28.a.a \(1\) \(9.237\) \(\Q\) None \(-8192\) \(3984828\) \(-2851889250\) \(368721063704\) \(+\) \(q-2^{13}q^{2}+3984828q^{3}+2^{26}q^{4}+\cdots\)
2.28.a.b \(1\) \(9.237\) \(\Q\) None \(8192\) \(-1016388\) \(-3341197410\) \(-51021361384\) \(-\) \(q+2^{13}q^{2}-1016388q^{3}+2^{26}q^{4}+\cdots\)
6.17.b.a \(6\) \(9.739\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(6006\) \(0\) \(-167892\) \(q-\beta _{1}q^{2}+(1001+\beta _{1}-\beta _{2})q^{3}-2^{15}q^{4}+\cdots\)
3.24.a.a \(1\) \(10.056\) \(\Q\) None \(1128\) \(177147\) \(-48863730\) \(-1723688680\) \(-\) \(q+1128q^{2}+3^{11}q^{3}-7116224q^{4}+\cdots\)
3.24.a.b \(2\) \(10.056\) \(\Q(\sqrt{530401}) \) None \(-1242\) \(-354294\) \(-46808820\) \(-211963904\) \(+\) \(q+(-621-\beta )q^{2}-3^{11}q^{3}+(-3229358+\cdots)q^{4}+\cdots\)
4.21.b.a \(1\) \(10.141\) \(\Q\) \(\Q(\sqrt{-1}) \) \(-1024\) \(0\) \(-19306574\) \(0\) \(q-2^{10}q^{2}+2^{20}q^{4}-19306574q^{5}+\cdots\)
4.21.b.b \(8\) \(10.141\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(396\) \(0\) \(18568080\) \(0\) \(q+(7^{2}+\beta _{1})q^{2}+(6-12\beta _{1}-\beta _{2})q^{3}+\cdots\)
5.19.c.a \(16\) \(10.269\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(510\) \(-20130\) \(3145170\) \(78767350\) \(q+(2^{5}+\beta _{2}+2^{5}\beta _{4})q^{2}+(-1259-5\beta _{1}+\cdots)q^{3}+\cdots\)
2.30.a.a \(1\) \(10.656\) \(\Q\) None \(-16384\) \(-2792556\) \(6651856470\) \(14\!\cdots\!48\) \(+\) \(q-2^{14}q^{2}-2792556q^{3}+2^{28}q^{4}+\cdots\)
2.30.a.b \(1\) \(10.656\) \(\Q\) None \(16384\) \(4782996\) \(6065841750\) \(904018883432\) \(-\) \(q+2^{14}q^{2}+4782996q^{3}+2^{28}q^{4}+\cdots\)
3.25.b.a \(1\) \(10.949\) \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(531441\) \(0\) \(-4119710398\) \(q+3^{12}q^{3}+2^{24}q^{4}-4119710398q^{7}+\cdots\)
3.25.b.b \(6\) \(10.949\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None \(0\) \(-616842\) \(0\) \(1988064876\) \(q+\beta _{1}q^{2}+(-102807+2^{4}\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
6.18.a.a \(1\) \(10.993\) \(\Q\) None \(-256\) \(-6561\) \(645150\) \(3974432\) \(+\) \(q-2^{8}q^{2}-3^{8}q^{3}+2^{16}q^{4}+645150q^{5}+\cdots\)
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