Label |
RSZB label |
RZB label |
CP label |
SZ label |
S label |
Name |
Level |
Index |
Genus |
Rank |
$\Q$-gonality |
Cusps |
$\Q$-cusps |
CM points |
Conductor |
Simple |
Squarefree |
Contains -1 |
Decomposition |
Models |
$j$-points |
Local obstruction |
$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators |
1.1.0.a.1 |
1.1.0.1 |
X1 |
1A0 |
|
|
$X(1)$ |
$1$ |
$1$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
|
trivial subgroup |
2.3.0.a.1 |
2.3.0.1 |
X6 |
2B0 |
2B0-2a |
2B |
$X_0(2)$ |
$2$ |
$3$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$487580$ |
|
$\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
3.8.0-3.a.1.2 |
3.8.0.1 |
|
3B0 |
|
3B.1.1 |
$X_1(3)$ |
$3$ |
$8$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$78279$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
4.12.0-4.c.1.1 |
4.12.0.7 |
X13h |
4B0 |
|
|
$X_1(4)$ |
$4$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$95099$ |
|
$\begin{bmatrix}1&2\\0&3\end{bmatrix}$, $\begin{bmatrix}3&1\\0&3\end{bmatrix}$ |
5.24.0-5.a.1.2 |
5.24.0.1 |
|
5D0 |
|
5B.1.1 |
$X_1(5)$ |
$5$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$1546$ |
|
$\begin{bmatrix}1&2\\0&3\end{bmatrix}$, $\begin{bmatrix}1&4\\0&3\end{bmatrix}$ |
6.24.0-6.a.1.4 |
6.24.0.2 |
|
6F0 |
|
|
$X_1(6)$ |
$6$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$4$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$9049$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
7.48.0-7.a.1.2 |
7.48.0.1 |
|
7E0 |
|
7B.1.1 |
$X_1(7)$ |
$7$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$81$ |
|
$\begin{bmatrix}1&1\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&2\end{bmatrix}$ |
8.48.0-8.bb.1.1 |
8.48.0.159 |
X102p |
8I0 |
|
|
$X_1(8)$ |
$8$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$220$ |
|
$\begin{bmatrix}1&6\\0&3\end{bmatrix}$, $\begin{bmatrix}1&6\\0&7\end{bmatrix}$, $\begin{bmatrix}5&7\\0&1\end{bmatrix}$ |
9.72.0-9.d.1.2 |
9.72.0.5 |
|
9I0 |
|
|
$X_1(9)$ |
$9$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$3$ |
|
$?$ |
? |
? |
|
not computed |
|
$21$ |
|
$\begin{bmatrix}1&1\\0&4\end{bmatrix}$, $\begin{bmatrix}1&1\\0&8\end{bmatrix}$ |
10.72.0-10.a.2.1 |
10.72.0.1 |
|
10F0 |
|
|
$X_1(10)$ |
$10$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&3\\0&3\end{bmatrix}$, $\begin{bmatrix}1&6\\0&7\end{bmatrix}$ |
11.120.1-11.a.2.2 |
11.120.1.1 |
|
11D1 |
|
11B.1.1 |
$X_1(11)$ |
$11$ |
$120$ |
$1$ |
$0$ |
$2$ |
$10$ |
$5$ |
|
$11$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&5\\0&2\end{bmatrix}$ |
12.96.0-12.c.1.8 |
12.96.0.23 |
|
12J0 |
|
|
$X_1(12)$ |
$12$ |
$96$ |
$0$ |
$0$ |
$1$ |
$10$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$18$ |
|
$\begin{bmatrix}1&2\\0&7\end{bmatrix}$, $\begin{bmatrix}1&8\\0&5\end{bmatrix}$, $\begin{bmatrix}1&11\\0&1\end{bmatrix}$ |
13.168.2-13.b.2.2 |
13.168.2.1 |
|
13A2 |
|
13B.1.1 |
$X_1(13)$ |
$13$ |
$168$ |
$2$ |
$0$ |
$2$ |
$12$ |
$6$ |
|
$13^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&12\end{bmatrix}$, $\begin{bmatrix}1&2\\0&6\end{bmatrix}$ |
14.144.1-14.a.1.1 |
14.144.1.1 |
|
14H1 |
|
|
$X_1(14)$ |
$14$ |
$144$ |
$1$ |
$0$ |
$2$ |
$12$ |
$6$ |
|
$2\cdot7$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&10\\0&3\end{bmatrix}$, $\begin{bmatrix}1&11\\0&5\end{bmatrix}$ |
15.192.1-15.b.2.4 |
15.192.1.1 |
|
15I1 |
|
|
$X_1(15)$ |
$15$ |
$192$ |
$1$ |
$0$ |
$2$ |
$16$ |
$4$ |
|
$3\cdot5$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}1&6\\0&11\end{bmatrix}$, $\begin{bmatrix}1&10\\0&7\end{bmatrix}$ |
16.192.2-16.l.1.1 |
16.192.2.193 |
|
16J2 |
|
|
$X_1(16)$ |
$16$ |
$192$ |
$2$ |
$0$ |
$2$ |
$14$ |
$6$ |
|
$2^{8}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&3\\0&1\end{bmatrix}$, $\begin{bmatrix}1&11\\0&15\end{bmatrix}$, $\begin{bmatrix}1&12\\0&3\end{bmatrix}$ |
17.288.5-17.d.2.2 |
17.288.5.1 |
|
17A5 |
|
17B.1.1 |
$X_1(17)$ |
$17$ |
$288$ |
$5$ |
$0$ |
$4$ |
$16$ |
$8$ |
|
$17^{5}$ |
|
✓ |
|
$1\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}1&3\\0&12\end{bmatrix}$, $\begin{bmatrix}1&14\\0&10\end{bmatrix}$ |
18.216.2-18.d.1.1 |
18.216.2.9 |
|
18Q2 |
|
|
$X_1(18)$ |
$18$ |
$216$ |
$2$ |
$0$ |
$2$ |
$16$ |
$6$ |
|
$2^{2}\cdot3^{4}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&3\\0&5\end{bmatrix}$, $\begin{bmatrix}1&17\\0&1\end{bmatrix}$ |
19.360.7-19.d.2.2 |
19.360.7.1 |
|
19A7 |
|
19B.1.1 |
$X_1(19)$ |
$19$ |
$360$ |
$7$ |
$0$ |
$3 \le \gamma \le 5$ |
$18$ |
$9$ |
|
$19^{7}$ |
|
✓ |
|
$1\cdot6$ |
|
$1$ |
|
$\begin{bmatrix}1&12\\0&1\end{bmatrix}$, $\begin{bmatrix}1&15\\0&3\end{bmatrix}$ |
20.288.3-20.e.2.1 |
20.288.3.11 |
|
20S3 |
|
|
$X_1(20)$ |
$20$ |
$288$ |
$3$ |
$0$ |
$2 \le \gamma \le 3$ |
$20$ |
$6$ |
|
$2^{6}\cdot5^{3}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&10\\0&3\end{bmatrix}$, $\begin{bmatrix}1&18\\0&19\end{bmatrix}$, $\begin{bmatrix}11&13\\0&13\end{bmatrix}$ |
21.384.5-21.c.1.4 |
21.384.5.1 |
|
21E5 |
|
|
$X_1(21)$ |
$21$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$6$ |
|
$3^{5}\cdot7^{5}$ |
|
✓ |
|
$1\cdot2^{2}$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&20\end{bmatrix}$, $\begin{bmatrix}1&10\\0&11\end{bmatrix}$ |
22.360.6-22.a.1.1 |
22.360.6.1 |
|
22C6 |
|
|
$X_1(22)$ |
$22$ |
$360$ |
$6$ |
$0$ |
$4$ |
$20$ |
$10$ |
|
$2^{4}\cdot11^{6}$ |
|
|
|
$1^{2}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}1&20\\0&19\end{bmatrix}$, $\begin{bmatrix}1&21\\0&17\end{bmatrix}$ |
23.528.12-23.e.1.2 |
23.528.12.1 |
|
23A12 |
|
23B.1.1 |
$X_1(23)$ |
$23$ |
$528$ |
$12$ |
$0$ |
$4 \le \gamma \le 12$ |
$22$ |
$11$ |
|
$23^{12}$ |
|
✓ |
|
$2\cdot10$ |
|
$1$ |
|
$\begin{bmatrix}1&13\\0&20\end{bmatrix}$, $\begin{bmatrix}1&19\\0&12\end{bmatrix}$ |
24.384.5-24.gk.1.1 |
24.384.5.2061 |
|
24AA5 |
|
|
$X_1(24)$ |
$24$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$6$ |
|
$2^{15}\cdot3^{5}$ |
|
✓ |
|
$1\cdot2^{2}$ |
|
$1$ |
|
$\begin{bmatrix}1&3\\0&19\end{bmatrix}$, $\begin{bmatrix}1&16\\0&5\end{bmatrix}$, $\begin{bmatrix}1&21\\0&1\end{bmatrix}$, $\begin{bmatrix}1&23\\0&11\end{bmatrix}$ |
25.600.12-25.j.1.2 |
25.600.12.11 |
|
25B12 |
|
|
$X_1(25)$ |
$25$ |
$600$ |
$12$ |
$0$ |
$4 \le \gamma \le 5$ |
$28$ |
$10$ |
|
$5^{24}$ |
|
✓ |
|
$4\cdot8$ |
|
$1$ |
|
$\begin{bmatrix}1&4\\0&21\end{bmatrix}$, $\begin{bmatrix}1&17\\0&23\end{bmatrix}$ |
26.504.10-26.b.1.1 |
26.504.10.1 |
|
26D10 |
|
|
$X_1(26)$ |
$26$ |
$504$ |
$10$ |
$0$ |
$3 \le \gamma \le 6$ |
$24$ |
$12$ |
|
$2^{6}\cdot13^{10}$ |
|
|
|
$1^{2}\cdot2^{4}$ |
|
$1$ |
|
$\begin{bmatrix}1&15\\0&15\end{bmatrix}$, $\begin{bmatrix}1&22\\0&11\end{bmatrix}$ |
27.648.13-27.i.1.2 |
27.648.13.19 |
|
27B13 |
|
|
$X_1(27)$ |
$27$ |
$648$ |
$13$ |
$0$ |
$6$ |
$30$ |
$9$ |
|
$3^{39}$ |
|
✓ |
|
$1\cdot12$ |
|
$1$ |
|
$\begin{bmatrix}1&7\\0&11\end{bmatrix}$, $\begin{bmatrix}1&14\\0&4\end{bmatrix}$ |
28.576.10-28.g.1.1 |
28.576.10.67 |
|
28D10 |
|
|
$X_1(28)$ |
$28$ |
$576$ |
$10$ |
$0$ |
$3 \le \gamma \le 6$ |
$30$ |
$9$ |
|
$2^{18}\cdot7^{10}$ |
|
|
|
$1^{2}\cdot2^{2}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}1&2\\0&23\end{bmatrix}$, $\begin{bmatrix}15&13\\0&23\end{bmatrix}$, $\begin{bmatrix}15&27\\0&13\end{bmatrix}$ |
29.840.22-29.e.2.2 |
29.840.22.1 |
|
29A22 |
|
29B.1.1 |
$X_1(29)$ |
$29$ |
$840$ |
$22$ |
$0$ |
$6 \le \gamma \le 12$ |
$28$ |
$14$ |
|
$29^{22}$ |
|
✓ |
|
$2^{2}\cdot6\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}1&10\\0&26\end{bmatrix}$, $\begin{bmatrix}1&19\\0&23\end{bmatrix}$ |
30.576.9-30.b.2.8 |
30.576.9.1 |
|
30S9 |
|
|
$X_1(30)$ |
$30$ |
$576$ |
$9$ |
$0$ |
$3 \le \gamma \le 6$ |
$32$ |
$8$ |
|
$2^{7}\cdot3^{9}\cdot5^{9}$ |
|
|
|
$1^{3}\cdot2\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}1&5\\0&11\end{bmatrix}$, $\begin{bmatrix}1&27\\0&23\end{bmatrix}$ |
31.960.26-31.h.2.2 |
31.960.26.1 |
|
|
|
31B.1.1 |
$X_1(31)$ |
$31$ |
$960$ |
$26$ |
$0$ |
$5 \le \gamma \le 15$ |
$30$ |
$15$ |
|
$31^{26}$ |
|
✓ |
|
$2\cdot4^{2}\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}1&1\\0&11\end{bmatrix}$, $\begin{bmatrix}1&18\\0&9\end{bmatrix}$ |
32.768.17-32.cx.1.1 |
32.768.17.1527 |
|
32C17 |
|
|
$X_1(32)$ |
$32$ |
$768$ |
$17$ |
$0$ |
$4 \le \gamma \le 8$ |
$32$ |
$12$ |
|
$2^{81}$ |
|
|
|
$1\cdot2^{2}\cdot4\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&13\\0&3\end{bmatrix}$, $\begin{bmatrix}1&27\\0&31\end{bmatrix}$, $\begin{bmatrix}1&28\\0&7\end{bmatrix}$ |
33.960.21-33.b.2.4 |
33.960.21.1 |
|
33C21 |
|
|
$X_1(33)$ |
$33$ |
$960$ |
$21$ |
$0$ |
$5 \le \gamma \le 12$ |
$40$ |
$10$ |
|
$3^{19}\cdot11^{21}$ |
|
|
|
$1^{3}\cdot2\cdot4^{2}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&4\\0&8\end{bmatrix}$, $\begin{bmatrix}1&7\\0&28\end{bmatrix}$ |
34.864.21-34.d.1.1 |
34.864.21.1 |
|
34A21 |
|
|
$X_1(34)$ |
$34$ |
$864$ |
$21$ |
$0$ |
$5 \le \gamma \le 12$ |
$32$ |
$16$ |
|
$2^{11}\cdot17^{21}$ |
|
|
|
$1^{3}\cdot2^{3}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&22\\0&31\end{bmatrix}$, $\begin{bmatrix}1&33\\0&1\end{bmatrix}$ |
35.1152.25-35.a.1.4 |
35.1152.25.1 |
|
|
|
|
$X_1(35)$ |
$35$ |
$1152$ |
$25$ |
$0$ |
$6 \le \gamma \le 16$ |
$48$ |
$12$ |
|
$5^{25}\cdot7^{25}$ |
|
✓ |
|
$1\cdot2^{2}\cdot4^{5}$ |
|
$0$ |
|
$\begin{bmatrix}1&12\\0&2\end{bmatrix}$, $\begin{bmatrix}1&12\\0&19\end{bmatrix}$ |
36.864.17-36.t.1.1 |
36.864.17.227 |
|
36L17 |
|
|
$X_1(36)$ |
$36$ |
$864$ |
$17$ |
$0$ |
$5 \le \gamma \le 8$ |
$40$ |
$9$ |
|
$2^{30}\cdot3^{34}$ |
|
|
|
$1\cdot2^{4}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&22\\0&29\end{bmatrix}$, $\begin{bmatrix}1&32\\0&31\end{bmatrix}$, $\begin{bmatrix}19&21\\0&25\end{bmatrix}$ |
37.1368.40-37.g.2.2 |
37.1368.40.1 |
|
|
|
37B.1.1 |
$X_1(37)$ |
$37$ |
$1368$ |
$40$ |
$1$ |
$8 \le \gamma \le 18$ |
$36$ |
$18$ |
|
$37^{40}$ |
|
✓ |
|
$1^{2}\cdot2^{2}\cdot4\cdot6^{2}\cdot18$ |
|
$0$ |
|
$\begin{bmatrix}1&28\\0&17\end{bmatrix}$, $\begin{bmatrix}1&28\\0&18\end{bmatrix}$ |
38.1080.28-38.d.1.1 |
38.1080.28.1 |
|
|
|
|
$X_1(38)$ |
$38$ |
$1080$ |
$28$ |
$0$ |
$6 \le \gamma \le 15$ |
$36$ |
$18$ |
|
$2^{14}\cdot19^{28}$ |
|
|
|
$1^{4}\cdot2\cdot4\cdot6^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&3\\0&13\end{bmatrix}$, $\begin{bmatrix}1&32\\0&13\end{bmatrix}$ |
39.1344.33-39.b.2.4 |
39.1344.33.1 |
|
|
|
|
$X_1(39)$ |
$39$ |
$1344$ |
$33$ |
$0$ |
$7 \le \gamma \le 16$ |
$48$ |
$12$ |
|
$3^{29}\cdot13^{33}$ |
|
|
|
$1\cdot2^{6}\cdot4^{3}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&3\\0&11\end{bmatrix}$, $\begin{bmatrix}1&23\\0&35\end{bmatrix}$ |
40.1152.25-40.jz.1.1 |
40.1152.25.3189 |
|
|
|
|
$X_1(40)$ |
$40$ |
$1152$ |
$25$ |
$0$ |
$6 \le \gamma \le 12$ |
$48$ |
$12$ |
|
$2^{69}\cdot5^{25}$ |
|
|
|
$1^{3}\cdot2^{3}\cdot4^{2}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&8\\0&23\end{bmatrix}$, $\begin{bmatrix}1&16\\0&33\end{bmatrix}$, $\begin{bmatrix}1&26\\0&29\end{bmatrix}$, $\begin{bmatrix}1&33\\0&13\end{bmatrix}$ |
41.1680.51-41.h.2.2 |
41.1680.51.1 |
|
|
|
41B.1.1 |
$X_1(41)$ |
$41$ |
$1680$ |
$51$ |
$0$ |
$10 \le \gamma \le 30$ |
$40$ |
$20$ |
|
$41^{51}$ |
|
✓ |
|
$2\cdot3\cdot6\cdot8^{2}\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}1&16\\0&24\end{bmatrix}$, $\begin{bmatrix}1&39\\0&28\end{bmatrix}$ |
42.1152.25-42.c.1.8 |
42.1152.25.1 |
|
|
|
|
$X_1(42)$ |
$42$ |
$1152$ |
$25$ |
$0$ |
$6 \le \gamma \le 12$ |
$48$ |
$12$ |
|
$2^{15}\cdot3^{23}\cdot7^{25}$ |
|
|
|
$1^{5}\cdot2^{6}\cdot4^{2}$ |
|
$0$ |
|
$\begin{bmatrix}1&17\\0&13\end{bmatrix}$, $\begin{bmatrix}1&19\\0&1\end{bmatrix}$, $\begin{bmatrix}1&22\\0&17\end{bmatrix}$ |
43.1848.57-43.i.2.2 |
43.1848.57.1 |
|
|
|
43B.1.1 |
$X_1(43)$ |
$43$ |
$1848$ |
$57$ |
$1$ |
$10 \le \gamma \le 45$ |
$42$ |
$21$ |
|
$43^{57}$ |
|
✓ |
|
$1\cdot2^{2}\cdot4\cdot6^{2}\cdot36$ |
|
$0$ |
|
$\begin{bmatrix}1&31\\0&40\end{bmatrix}$, $\begin{bmatrix}1&42\\0&26\end{bmatrix}$ |
44.1440.36-44.l.1.1 |
44.1440.36.111 |
|
|
|
|
$X_1(44)$ |
$44$ |
$1440$ |
$36$ |
$0$ |
$8 \le \gamma \le 16$ |
$50$ |
$15$ |
|
$2^{58}\cdot11^{36}$ |
|
|
|
$1^{4}\cdot4^{4}\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}1&9\\0&7\end{bmatrix}$, $\begin{bmatrix}1&11\\0&3\end{bmatrix}$, $\begin{bmatrix}1&11\\0&29\end{bmatrix}$ |
45.1728.41-45.j.2.4 |
45.1728.41.65 |
|
|
|
|
$X_1(45)$ |
$45$ |
$1728$ |
$41$ |
$0$ |
$9 \le \gamma \le 18$ |
$64$ |
$12$ |
|
$3^{80}\cdot5^{41}$ |
|
|
|
$1^{3}\cdot2^{2}\cdot4\cdot6\cdot8\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}1&7\\0&7\end{bmatrix}$, $\begin{bmatrix}1&38\\0&17\end{bmatrix}$ |
46.1584.45-46.e.1.1 |
46.1584.45.1 |
|
|
|
|
$X_1(46)$ |
$46$ |
$1584$ |
$45$ |
$0$ |
$8 \le \gamma \le 22$ |
$44$ |
$22$ |
|
$2^{21}\cdot23^{45}$ |
|
|
|
$1\cdot2^{2}\cdot10^{4}$ |
|
$0$ |
|
$\begin{bmatrix}1&15\\0&27\end{bmatrix}$, $\begin{bmatrix}1&42\\0&17\end{bmatrix}$ |
47.2208.70-47.l.1.2 |
47.2208.70.1 |
|
|
|
47B.1.1 |
$X_1(47)$ |
$47$ |
$2208$ |
$70$ |
$0$ |
$11 \le \gamma \le 70$ |
$46$ |
$23$ |
|
$47^{70}$ |
|
✓ |
|
$4\cdot66$ |
|
$0$ |
|
$\begin{bmatrix}1&16\\0&46\end{bmatrix}$, $\begin{bmatrix}1&33\\0&45\end{bmatrix}$ |
48.1536.37-48.cs.1.1 |
48.1536.37.4097 |
|
|
|
|
$X_1(48)$ |
$48$ |
$1536$ |
$37$ |
$0$ |
$8 \le \gamma \le 16$ |
$56$ |
$12$ |
|
$2^{138}\cdot3^{33}$ |
|
|
|
$1^{3}\cdot2^{7}\cdot8\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}1&14\\0&29\end{bmatrix}$, $\begin{bmatrix}1&15\\0&43\end{bmatrix}$, $\begin{bmatrix}1&24\\0&37\end{bmatrix}$, $\begin{bmatrix}1&34\\0&19\end{bmatrix}$ |
49.2352.69-49.w.1.2 |
49.2352.69.23 |
|
|
|
|
$X_1(49)$ |
$49$ |
$2352$ |
$69$ |
$0$ |
$12 \le \gamma \le 21$ |
$60$ |
$21$ |
|
$7^{138}$ |
|
✓ |
|
$1\cdot2\cdot6\cdot12\cdot48$ |
|
$0$ |
|
$\begin{bmatrix}1&14\\0&11\end{bmatrix}$, $\begin{bmatrix}1&18\\0&12\end{bmatrix}$ |
50.1800.48-50.j.1.1 |
50.1800.48.21 |
|
|
|
|
$X_1(50)$ |
$50$ |
$1800$ |
$48$ |
$0$ |
$9 \le \gamma \le 15$ |
$56$ |
$20$ |
|
$2^{24}\cdot5^{96}$ |
|
|
|
$1^{2}\cdot2\cdot4^{3}\cdot8^{4}$ |
|
$0$ |
|
$\begin{bmatrix}1&6\\0&43\end{bmatrix}$, $\begin{bmatrix}1&27\\0&39\end{bmatrix}$ |