| 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 |
| 2.2.0.a.1 |
2.2.0.1 |
X2 |
2A0 |
2A0-2a |
2Cn |
$X_{\mathrm{ns}}(2)$ |
$2$ |
$2$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$32741$ |
|
$\begin{bmatrix}0&1\\1&1\end{bmatrix}$ |
| 3.6.0.a.1 |
3.6.0.2 |
|
3C0 |
|
3Cn |
$X_{\mathrm{ns}}(3)$ |
$3$ |
$6$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}2&1\\2&2\end{bmatrix}$ |
| 4.8.0.a.1 |
4.8.0.1 |
X21 |
4D0 |
|
|
$X_{\mathrm{ns}}(4)$ |
$4$ |
$8$ |
$0$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}0&3\\1&1\end{bmatrix}$, $\begin{bmatrix}3&2\\2&1\end{bmatrix}$ |
| 5.20.0.a.1 |
5.20.0.2 |
|
5F0 |
|
5Cn |
$X_{\mathrm{ns}}(5)$ |
$5$ |
$20$ |
$0$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\2&1\end{bmatrix}$ |
| 6.12.1.a.1 |
6.12.1.4 |
|
6B1 |
|
|
$X_{\mathrm{ns}}(6)$ |
$6$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&5\\5&0\end{bmatrix}$ |
| 7.42.1.a.1 |
7.42.1.2 |
|
7A1 |
|
7Cn |
$X_{\mathrm{ns}}(7)$ |
$7$ |
$42$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\5&1\end{bmatrix}$ |
| 8.32.1.a.1 |
8.32.1.1 |
|
8E1 |
|
|
$X_{\mathrm{ns}}(8)$ |
$8$ |
$32$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{6}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\4&5\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$, $\begin{bmatrix}3&5\\3&6\end{bmatrix}$ |
| 9.54.2.a.1 |
9.54.2.1 |
|
9B2 |
|
|
$X_{\mathrm{ns}}(9)$ |
$9$ |
$54$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$3^{8}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}0&2\\5&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 10.40.1.a.1 |
10.40.1.3 |
|
10H1 |
|
|
$X_{\mathrm{ns}}(10)$ |
$10$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&3\\7&1\end{bmatrix}$, $\begin{bmatrix}5&6\\4&9\end{bmatrix}$ |
| 11.110.4.a.1 |
11.110.4.2 |
|
11A4 |
|
11Cn |
$X_{\mathrm{ns}}(11)$ |
$11$ |
$110$ |
$4$ |
$1$ |
$3 \le \gamma \le 4$ |
$10$ |
$0$ |
|
$11^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\6&1\end{bmatrix}$ |
| 12.48.3.c.1 |
12.48.3.5 |
|
12C3 |
|
|
$X_{\mathrm{ns}}(12)$ |
$12$ |
$48$ |
$3$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{10}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&6\\6&7\end{bmatrix}$, $\begin{bmatrix}9&1\\7&8\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$ |
| 13.156.8.a.1 |
13.156.8.1 |
|
13A8 |
|
13Cn |
$X_{\mathrm{ns}}(13)$ |
$13$ |
$156$ |
$8$ |
$3$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$13^{16}$ |
|
✓ |
✓ |
$2\cdot3^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&8\\4&11\end{bmatrix}$ |
| 14.84.5.a.1 |
14.84.5.5 |
|
14B5 |
|
|
$X_{\mathrm{ns}}(14)$ |
$14$ |
$84$ |
$5$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot7^{10}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&6\\10&9\end{bmatrix}$, $\begin{bmatrix}8&7\\7&1\end{bmatrix}$ |
| 15.120.7.c.1 |
15.120.7.17 |
|
15B7 |
|
|
$X_{\mathrm{ns}}(15)$ |
$15$ |
$120$ |
$7$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$3^{14}\cdot5^{14}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}6&5\\5&1\end{bmatrix}$, $\begin{bmatrix}10&6\\3&4\end{bmatrix}$ |
| 16.128.7.a.1 |
16.128.7.1 |
|
16A7 |
|
|
$X_{\mathrm{ns}}(16)$ |
$16$ |
$128$ |
$7$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$2^{54}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&15\\1&2\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}15&4\\12&11\end{bmatrix}$ |
| 17.272.15.a.1 |
17.272.15.1 |
|
17A15 |
|
17Cn |
$X_{\mathrm{ns}}(17)$ |
$17$ |
$272$ |
$15$ |
$6$ |
$6 \le \gamma \le 12$ |
$16$ |
$0$ |
|
$17^{30}$ |
|
✓ |
✓ |
$1\cdot2^{2}\cdot3^{2}\cdot4$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&9\\3&7\end{bmatrix}$ |
| 18.108.7.g.1 |
18.108.7.2 |
|
18C7 |
|
|
$X_{\mathrm{ns}}(18)$ |
$18$ |
$108$ |
$7$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{10}\cdot3^{26}$ |
|
✓ |
✓ |
$1^{5}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&10\\4&3\end{bmatrix}$, $\begin{bmatrix}16&9\\9&7\end{bmatrix}$ |
| 19.342.20.a.1 |
19.342.20.2 |
|
19A20 |
|
19Cn |
$X_{\mathrm{ns}}(19)$ |
$19$ |
$342$ |
$20$ |
$8$ |
$7 \le \gamma \le 16$ |
$18$ |
$0$ |
|
$19^{40}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{4}\cdot3^{2}\cdot4$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}13&16\\8&13\end{bmatrix}$ |
| 20.160.9.a.1 |
20.160.9.3 |
|
20A9 |
|
|
$X_{\mathrm{ns}}(20)$ |
$20$ |
$160$ |
$9$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{34}\cdot5^{18}$ |
|
✓ |
✓ |
$1^{9}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}14&13\\7&1\end{bmatrix}$, $\begin{bmatrix}19&4\\16&15\end{bmatrix}$, $\begin{bmatrix}19&10\\10&9\end{bmatrix}$ |
| 21.252.15.a.1 |
21.252.15.14 |
|
21B15 |
|
|
$X_{\mathrm{ns}}(21)$ |
$21$ |
$252$ |
$15$ |
$4$ |
$6 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$3^{28}\cdot7^{30}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}9&5\\8&4\end{bmatrix}$, $\begin{bmatrix}17&17\\2&0\end{bmatrix}$ |
| 22.220.13.a.1 |
22.220.13.4 |
|
22A13 |
|
|
$X_{\mathrm{ns}}(22)$ |
$22$ |
$220$ |
$13$ |
$4$ |
$4 \le \gamma \le 8$ |
$10$ |
$0$ |
|
$2^{18}\cdot11^{26}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{4}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}4&9\\13&17\end{bmatrix}$, $\begin{bmatrix}21&10\\12&11\end{bmatrix}$ |
| 23.506.31.a.1 |
23.506.31.2 |
|
|
|
23Cn |
$X_{\mathrm{ns}}(23)$ |
$23$ |
$506$ |
$31$ |
$13$ |
$10 \le \gamma \le 26$ |
$22$ |
$0$ |
|
$23^{62}$ |
|
✓ |
✓ |
$2^{5}\cdot3\cdot4^{2}\cdot5^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\9&1\end{bmatrix}$ |
| 24.192.13.a.1 |
24.192.13.5 |
|
24F13 |
|
|
$X_{\mathrm{ns}}(24)$ |
$24$ |
$192$ |
$13$ |
$3$ |
$4 \le \gamma \le 6$ |
$8$ |
$0$ |
|
$2^{70}\cdot3^{24}$ |
|
✓ |
✓ |
$1^{13}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}11&12\\12&23\end{bmatrix}$, $\begin{bmatrix}15&13\\7&2\end{bmatrix}$, $\begin{bmatrix}19&2\\14&17\end{bmatrix}$ |
| 25.500.32.a.1 |
25.500.32.2 |
|
|
|
|
$X_{\mathrm{ns}}(25)$ |
$25$ |
$500$ |
$32$ |
$14$ |
$9 \le \gamma \le 28$ |
$20$ |
$0$ |
|
$5^{128}$ |
|
✓ |
✓ |
$2^{4}\cdot8^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}17&6\\19&11\end{bmatrix}$ |
| 26.312.21.a.1 |
26.312.21.1 |
|
26A21 |
|
|
$X_{\mathrm{ns}}(26)$ |
$26$ |
$312$ |
$21$ |
$8$ |
$6 \le \gamma \le 12$ |
$12$ |
$0$ |
|
$2^{26}\cdot13^{42}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{2}\cdot3^{4}$ |
|
$0$ |
✓ |
$\begin{bmatrix}12&21\\15&17\end{bmatrix}$, $\begin{bmatrix}22&13\\13&9\end{bmatrix}$ |
| 27.486.32.a.1 |
27.486.32.1 |
|
|
|
|
$X_{\mathrm{ns}}(27)$ |
$27$ |
$486$ |
$32$ |
$12$ |
$9 \le \gamma \le 18$ |
$18$ |
$0$ |
|
$3^{188}$ |
|
✓ |
✓ |
$2\cdot6^{5}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}18&7\\13&11\end{bmatrix}$ |
| 28.336.23.a.1 |
28.336.23.5 |
|
28B23 |
|
|
$X_{\mathrm{ns}}(28)$ |
$28$ |
$336$ |
$23$ |
$8$ |
$6 \le \gamma \le 16$ |
$12$ |
$0$ |
|
$2^{80}\cdot7^{46}$ |
|
✓ |
✓ |
$1^{13}\cdot2^{5}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&2\\22&7\end{bmatrix}$, $\begin{bmatrix}22&7\\7&15\end{bmatrix}$, $\begin{bmatrix}27&14\\14&13\end{bmatrix}$ |
| 29.812.54.a.1 |
29.812.54.1 |
|
|
|
29Cn |
$X_{\mathrm{ns}}(29)$ |
$29$ |
$812$ |
$54$ |
$24$ |
$15 \le \gamma \le 48$ |
$28$ |
$0$ |
|
$29^{108}$ |
|
✓ |
✓ |
$2^{4}\cdot3^{2}\cdot6^{2}\cdot8^{2}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&25\\27&9\end{bmatrix}$ |
| 30.240.17.c.1 |
30.240.17.89 |
|
30E17 |
|
|
$X_{\mathrm{ns}}(30)$ |
$30$ |
$240$ |
$17$ |
$5$ |
$4 \le \gamma \le 8$ |
$8$ |
$0$ |
|
$2^{20}\cdot3^{32}\cdot5^{32}$ |
|
✓ |
✓ |
$1^{15}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&24\\6&7\end{bmatrix}$, $\begin{bmatrix}21&5\\5&16\end{bmatrix}$ |
| 31.930.63.a.1 |
31.930.63.2 |
|
|
|
31Cn |
$X_{\mathrm{ns}}(31)$ |
$31$ |
$930$ |
$63$ |
$28$ |
$17 \le \gamma \le 56$ |
$30$ |
$0$ |
|
$31^{126}$ |
|
✓ |
✓ |
$2^{6}\cdot3\cdot4\cdot8^{2}\cdot12\cdot16$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&23\\18&13\end{bmatrix}$ |
| 32.512.35.a.1 |
32.512.35.1 |
|
|
|
|
$X_{\mathrm{ns}}(32)$ |
$32$ |
$512$ |
$35$ |
$14$ |
$10 \le \gamma \le 16$ |
$16$ |
$0$ |
|
$2^{334}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{7}\cdot4^{4}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&4\\28&5\end{bmatrix}$, $\begin{bmatrix}15&5\\27&10\end{bmatrix}$, $\begin{bmatrix}31&0\\0&31\end{bmatrix}$ |
| 33.660.45.a.1 |
33.660.45.14 |
|
|
|
|
$X_{\mathrm{ns}}(33)$ |
$33$ |
$660$ |
$45$ |
$17$ |
$12 \le \gamma \le 24$ |
$20$ |
$0$ |
|
$3^{82}\cdot11^{90}$ |
|
✓ |
✓ |
$1^{15}\cdot2^{9}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}6&32\\8&7\end{bmatrix}$, $\begin{bmatrix}10&23\\14&20\end{bmatrix}$ |
| 34.544.37.a.1 |
34.544.37.1 |
|
|
|
|
$X_{\mathrm{ns}}(34)$ |
$34$ |
$544$ |
$37$ |
$15$ |
$10 \le \gamma \le 24$ |
$16$ |
$0$ |
|
$2^{44}\cdot17^{74}$ |
|
✓ |
✓ |
$1\cdot2^{6}\cdot3^{4}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&21\\13&20\end{bmatrix}$, $\begin{bmatrix}33&33\\1&0\end{bmatrix}$ |
| 35.840.59.a.1 |
35.840.59.19 |
|
|
|
|
$X_{\mathrm{ns}}(35)$ |
$35$ |
$840$ |
$59$ |
$26$ |
$16 \le \gamma \le 40$ |
$24$ |
$0$ |
|
$5^{116}\cdot7^{118}$ |
|
✓ |
✓ |
$1^{11}\cdot2^{12}\cdot3^{4}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&34\\6&32\end{bmatrix}$, $\begin{bmatrix}34&18\\32&16\end{bmatrix}$ |
| 36.432.31.dg.1 |
36.432.31.7 |
|
|
|
|
$X_{\mathrm{ns}}(36)$ |
$36$ |
$432$ |
$31$ |
$10$ |
$8 \le \gamma \le 16$ |
$12$ |
$0$ |
|
$2^{106}\cdot3^{118}$ |
|
✓ |
✓ |
$1^{19}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}25&18\\18&7\end{bmatrix}$, $\begin{bmatrix}31&24\\24&7\end{bmatrix}$, $\begin{bmatrix}32&5\\11&27\end{bmatrix}$ |
| 37.1332.94.a.1 |
37.1332.94.1 |
|
|
|
37Cn |
$X_{\mathrm{ns}}(37)$ |
$37$ |
$1332$ |
$94$ |
$43$ |
$24 \le \gamma \le 86$ |
$36$ |
$0$ |
|
$37^{188}$ |
|
✓ |
✓ |
$1^{6}\cdot2^{2}\cdot3^{4}\cdot18\cdot27^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&3\\20&5\end{bmatrix}$ |
| 38.684.49.a.1 |
38.684.49.4 |
|
|
|
|
$X_{\mathrm{ns}}(38)$ |
$38$ |
$684$ |
$49$ |
$20$ |
$13 \le \gamma \le 32$ |
$18$ |
$0$ |
|
$2^{58}\cdot19^{98}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{7}\cdot3^{2}\cdot4\cdot6^{2}\cdot8$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&19\\19&30\end{bmatrix}$, $\begin{bmatrix}32&9\\11&23\end{bmatrix}$ |
| 39.936.67.c.1 |
39.936.67.16 |
|
|
|
|
$X_{\mathrm{ns}}(39)$ |
$39$ |
$936$ |
$67$ |
$28$ |
$17 \le \gamma \le 36$ |
$24$ |
$0$ |
|
$3^{118}\cdot13^{134}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{9}\cdot3^{8}\cdot4^{2}\cdot6^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}0&35\\8&4\end{bmatrix}$, $\begin{bmatrix}5&26\\26&18\end{bmatrix}$ |
| 40.640.45.a.1 |
40.640.45.3 |
|
|
|
|
$X_{\mathrm{ns}}(40)$ |
$40$ |
$640$ |
$45$ |
$19$ |
$11 \le \gamma \le 16$ |
$16$ |
$0$ |
|
$2^{250}\cdot5^{88}$ |
|
✓ |
✓ |
$1^{35}\cdot2^{5}$ |
|
$0$ |
✓ |
$\begin{bmatrix}6&15\\25&31\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}29&20\\20&9\end{bmatrix}$, $\begin{bmatrix}33&4\\36&29\end{bmatrix}$ |
| 41.1640.117.a.1 |
41.1640.117.1 |
|
|
|
41Cn |
$X_{\mathrm{ns}}(41)$ |
$41$ |
$1640$ |
$117$ |
$54$ |
$29 \le \gamma \le 108$ |
$40$ |
$0$ |
|
$41^{234}$ |
|
✓ |
✓ |
$2\cdot3^{3}\cdot4^{2}\cdot6\cdot8\cdot12^{2}\cdot18^{2}\cdot24$ |
|
$0$ |
✓ |
$\begin{bmatrix}22&40\\34&22\end{bmatrix}$ |
| 42.504.37.e.1 |
42.504.37.83 |
|
|
|
|
$X_{\mathrm{ns}}(42)$ |
$42$ |
$504$ |
$37$ |
$11$ |
$8 \le \gamma \le 12$ |
$12$ |
$0$ |
|
$2^{44}\cdot3^{64}\cdot7^{72}$ |
|
✓ |
✓ |
$1^{21}\cdot2^{6}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&35\\35&36\end{bmatrix}$, $\begin{bmatrix}31&36\\24&37\end{bmatrix}$ |
| 43.1806.130.a.1 |
43.1806.130.2 |
|
|
|
43Cn |
$X_{\mathrm{ns}}(43)$ |
$43$ |
$1806$ |
$130$ |
$60$ |
$31 \le \gamma \le 120$ |
$42$ |
$0$ |
|
$43^{260}$ |
|
✓ |
✓ |
$1^{4}\cdot2^{4}\cdot3^{4}\cdot10\cdot18^{2}\cdot20^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}12&28\\38&12\end{bmatrix}$ |
| 44.880.63.a.1 |
44.880.63.5 |
|
|
|
|
$X_{\mathrm{ns}}(44)$ |
$44$ |
$880$ |
$63$ |
$26$ |
$15 \le \gamma \le 32$ |
$20$ |
$0$ |
|
$2^{218}\cdot11^{126}$ |
|
✓ |
✓ |
$1^{17}\cdot2^{19}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\22&23\end{bmatrix}$, $\begin{bmatrix}23&41\\3&26\end{bmatrix}$, $\begin{bmatrix}34&1\\43&33\end{bmatrix}$ |
| 45.1080.79.bq.1 |
45.1080.79.16 |
|
|
|
|
$X_{\mathrm{ns}}(45)$ |
$45$ |
$1080$ |
$79$ |
$34$ |
$19 \le \gamma \le 36$ |
$24$ |
$0$ |
|
$3^{302}\cdot5^{154}$ |
|
✓ |
✓ |
$1^{11}\cdot2^{9}\cdot3^{2}\cdot4^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&18\\9&37\end{bmatrix}$, $\begin{bmatrix}16&0\\0&16\end{bmatrix}$, $\begin{bmatrix}36&10\\25&26\end{bmatrix}$ |
| 46.1012.73.a.1 |
46.1012.73.5 |
|
|
|
|
$X_{\mathrm{ns}}(46)$ |
$46$ |
$1012$ |
$73$ |
$31$ |
$19 \le \gamma \le 52$ |
$22$ |
$0$ |
|
$2^{84}\cdot23^{146}$ |
|
✓ |
✓ |
$1^{4}\cdot2^{7}\cdot3\cdot4^{2}\cdot5^{2}\cdot6\cdot8\cdot10^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}24&23\\23&1\end{bmatrix}$, $\begin{bmatrix}37&2\\44&35\end{bmatrix}$ |
| 47.2162.157.a.1 |
47.2162.157.2 |
|
|
|
47Cn |
$X_{\mathrm{ns}}(47)$ |
$47$ |
$2162$ |
$157$ |
$73$ |
$37 \le \gamma \le 146$ |
$46$ |
$0$ |
|
$47^{314}$ |
|
✓ |
✓ |
$1^{2}\cdot3^{2}\cdot4\cdot5\cdot8\cdot10\cdot16^{2}\cdot24\cdot33^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}27&15\\3&27\end{bmatrix}$ |
| 48.768.57.a.1 |
48.768.57.7 |
|
|
|
|
$X_{\mathrm{ns}}(48)$ |
$48$ |
$768$ |
$57$ |
$21$ |
$12 \le \gamma \le 16$ |
$16$ |
$0$ |
|
$2^{422}\cdot3^{100}$ |
|
✓ |
✓ |
$1^{33}\cdot2^{10}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&30\\42&37\end{bmatrix}$, $\begin{bmatrix}21&29\\47&40\end{bmatrix}$, $\begin{bmatrix}23&0\\0&23\end{bmatrix}$, $\begin{bmatrix}37&12\\36&25\end{bmatrix}$ |
| 49.2058.151.a.1 |
49.2058.151.2 |
|
|
|
|
$X_{\mathrm{ns}}(49)$ |
$49$ |
$2058$ |
$151$ |
$69$ |
$36 \le \gamma \le 98$ |
$42$ |
$0$ |
|
$7^{602}$ |
|
✓ |
✓ |
$1\cdot3^{2}\cdot6^{2}\cdot9^{2}\cdot18\cdot24^{2}\cdot48$ |
|
$0$ |
✓ |
$\begin{bmatrix}8&28\\14&29\end{bmatrix}$, $\begin{bmatrix}13&3\\40&10\end{bmatrix}$ |
| 50.1000.73.a.1 |
50.1000.73.3 |
|
|
|
|
$X_{\mathrm{ns}}(50)$ |
$50$ |
$1000$ |
$73$ |
$32$ |
$18 \le \gamma \le 50$ |
$20$ |
$0$ |
|
$2^{82}\cdot5^{290}$ |
|
✓ |
✓ |
$1\cdot2^{6}\cdot6^{2}\cdot8^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}24&31\\19&43\end{bmatrix}$, $\begin{bmatrix}31&15\\35&16\end{bmatrix}$ |
