| 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 |
| 3.3.0.a.1 |
3.3.0.1 |
|
3A0 |
3A0-3a |
3Nn |
$X_{\mathrm{ns}}^+(3)$ |
$3$ |
$3$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$2400$ |
|
$\begin{bmatrix}0&2\\2&1\end{bmatrix}$, $\begin{bmatrix}1&0\\2&2\end{bmatrix}$ |
| 4.4.0.a.1 |
4.4.0.1 |
X7 |
4A0 |
4A0-4a |
|
$X_{\mathrm{ns}}^+(4)$ |
$4$ |
$4$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$455$ |
|
$\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\begin{bmatrix}1&3\\2&3\end{bmatrix}$ |
| 5.10.0.a.1 |
5.10.0.1 |
|
5C0 |
5C0-5a |
5Nn |
$X_{\mathrm{ns}}^+(5)$ |
$5$ |
$10$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$64$ |
|
$\begin{bmatrix}3&4\\1&2\end{bmatrix}$, $\begin{bmatrix}4&4\\0&1\end{bmatrix}$ |
| 6.6.0.d.1 |
6.6.0.3 |
|
6B0 |
|
|
$X_{\mathrm{ns}}^+(6)$ |
$6$ |
$6$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$21$ |
|
$\begin{bmatrix}1&0\\5&5\end{bmatrix}$, $\begin{bmatrix}3&5\\5&4\end{bmatrix}$ |
| 7.21.0.a.1 |
7.21.0.1 |
|
7D0 |
7D0-7a |
7Nn |
$X_{\mathrm{ns}}^+(7)$ |
$7$ |
$21$ |
$0$ |
$0$ |
$1$ |
$3$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$15$ |
|
$\begin{bmatrix}3&3\\5&0\end{bmatrix}$, $\begin{bmatrix}4&0\\3&3\end{bmatrix}$ |
| 8.16.0.a.1 |
8.16.0.1 |
X55 |
8F0 |
8F0-8a |
|
$X_{\mathrm{ns}}^+(8)$ |
$8$ |
$16$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$12$ |
|
$\begin{bmatrix}4&5\\1&4\end{bmatrix}$, $\begin{bmatrix}4&5\\3&7\end{bmatrix}$, $\begin{bmatrix}5&3\\5&2\end{bmatrix}$ |
| 9.27.0.b.1 |
9.27.0.2 |
|
9G0 |
9G0-9a |
|
$X_{\mathrm{ns}}^+(9)$ |
$9$ |
$27$ |
$0$ |
$0$ |
$1$ |
$3$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$10$ |
|
$\begin{bmatrix}6&2\\7&3\end{bmatrix}$, $\begin{bmatrix}8&8\\2&0\end{bmatrix}$ |
| 10.20.0.b.1 |
10.20.0.1 |
|
10D0 |
|
|
$X_{\mathrm{ns}}^+(10)$ |
$10$ |
$20$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$8$ |
|
$\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\begin{bmatrix}4&9\\1&5\end{bmatrix}$, $\begin{bmatrix}9&6\\4&3\end{bmatrix}$ |
| 11.55.1.b.1 |
11.55.1.1 |
|
11C1 |
11C1-11a |
11Nn |
$X_{\mathrm{ns}}^+(11)$ |
$11$ |
$55$ |
$1$ |
$1$ |
$2$ |
$5$ |
$0$ |
✓ |
$11^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$8$ |
|
$\begin{bmatrix}2&7\\5&9\end{bmatrix}$, $\begin{bmatrix}6&1\\6&5\end{bmatrix}$ |
| 12.24.0.r.1 |
12.24.0.39 |
|
12F0 |
|
|
$X_{\mathrm{ns}}^+(12)$ |
$12$ |
$24$ |
$0$ |
$0$ |
$1$ |
$2$ |
$0$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$6$ |
|
$\begin{bmatrix}2&9\\7&10\end{bmatrix}$, $\begin{bmatrix}3&8\\8&7\end{bmatrix}$, $\begin{bmatrix}7&5\\11&2\end{bmatrix}$ |
| 13.78.3.a.1 |
13.78.3.1 |
|
13A3 |
|
13Nn |
$X_{\mathrm{ns}}^+(13)$ |
$13$ |
$78$ |
$3$ |
$3$ |
$3$ |
$6$ |
$0$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$7$ |
|
$\begin{bmatrix}0&12\\11&0\end{bmatrix}$, $\begin{bmatrix}1&8\\2&12\end{bmatrix}$ |
| 14.42.1.b.1 |
14.42.1.2 |
|
14E1 |
|
|
$X_{\mathrm{ns}}^+(14)$ |
$14$ |
$42$ |
$1$ |
$1$ |
$2$ |
$3$ |
$0$ |
✓ |
$2^{2}\cdot7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}3&4\\9&11\end{bmatrix}$, $\begin{bmatrix}9&5\\13&4\end{bmatrix}$ |
| 15.60.2.d.1 |
15.60.2.4 |
|
15D2 |
|
|
$X_{\mathrm{ns}}^+(15)$ |
$15$ |
$60$ |
$2$ |
$2$ |
$2$ |
$4$ |
$0$ |
✓ |
$3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$6$ |
|
$\begin{bmatrix}4&9\\12&10\end{bmatrix}$, $\begin{bmatrix}5&7\\9&10\end{bmatrix}$, $\begin{bmatrix}8&14\\5&7\end{bmatrix}$ |
| 16.64.2.a.1 |
16.64.2.1 |
X441 |
16G2 |
|
|
$X_{\mathrm{ns}}^+(16)$ |
$16$ |
$64$ |
$2$ |
$2$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{16}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$7$ |
|
$\begin{bmatrix}4&5\\1&12\end{bmatrix}$, $\begin{bmatrix}5&1\\15&4\end{bmatrix}$, $\begin{bmatrix}5&2\\14&3\end{bmatrix}$ |
| 17.136.6.a.1 |
17.136.6.1 |
|
17A6 |
|
17Nn |
$X_{\mathrm{ns}}^+(17)$ |
$17$ |
$136$ |
$6$ |
$6$ |
$3 \le \gamma \le 6$ |
$8$ |
$0$ |
✓ |
$17^{12}$ |
|
✓ |
✓ |
$1\cdot2\cdot3$ |
$2$ |
$7$ |
|
$\begin{bmatrix}7&3\\13&10\end{bmatrix}$, $\begin{bmatrix}7&16\\1&8\end{bmatrix}$ |
| 18.54.1.c.1 |
18.54.1.2 |
|
18H1 |
|
|
$X_{\mathrm{ns}}^+(18)$ |
$18$ |
$54$ |
$1$ |
$1$ |
$2$ |
$3$ |
$0$ |
✓ |
$2^{2}\cdot3^{4}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$6$ |
|
$\begin{bmatrix}1&1\\4&17\end{bmatrix}$, $\begin{bmatrix}8&11\\17&15\end{bmatrix}$, $\begin{bmatrix}15&1\\8&3\end{bmatrix}$ |
| 19.171.8.a.1 |
19.171.8.1 |
|
19A8 |
|
19Nn |
$X_{\mathrm{ns}}^+(19)$ |
$19$ |
$171$ |
$8$ |
$8$ |
$4 \le \gamma \le 8$ |
$9$ |
$0$ |
✓ |
$19^{16}$ |
|
✓ |
✓ |
$1\cdot3\cdot4$ |
$2$ |
$7$ |
|
$\begin{bmatrix}7&10\\13&12\end{bmatrix}$, $\begin{bmatrix}10&10\\18&0\end{bmatrix}$ |
| 20.80.3.d.1 |
20.80.3.1 |
|
20O3 |
|
|
$X_{\mathrm{ns}}^+(20)$ |
$20$ |
$80$ |
$3$ |
$3$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{12}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$5$ |
|
$\begin{bmatrix}12&9\\11&3\end{bmatrix}$, $\begin{bmatrix}17&9\\12&3\end{bmatrix}$, $\begin{bmatrix}18&19\\1&2\end{bmatrix}$ |
| 21.126.4.d.1 |
21.126.4.4 |
|
21D4 |
|
|
$X_{\mathrm{ns}}^+(21)$ |
$21$ |
$126$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
✓ |
$3^{8}\cdot7^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$5$ |
|
$\begin{bmatrix}4&1\\7&17\end{bmatrix}$, $\begin{bmatrix}11&1\\0&10\end{bmatrix}$, $\begin{bmatrix}17&15\\3&2\end{bmatrix}$ |
| 22.110.4.b.1 |
22.110.4.2 |
|
22B4 |
|
|
$X_{\mathrm{ns}}^+(22)$ |
$22$ |
$110$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$5$ |
$0$ |
✓ |
$2^{6}\cdot11^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$1$ |
$5$ |
|
$\begin{bmatrix}9&9\\0&13\end{bmatrix}$, $\begin{bmatrix}16&7\\13&6\end{bmatrix}$, $\begin{bmatrix}17&0\\5&5\end{bmatrix}$ |
| 23.253.13.a.1 |
23.253.13.1 |
|
23A13 |
|
23Nn |
$X_{\mathrm{ns}}^+(23)$ |
$23$ |
$253$ |
$13$ |
$13$ |
$6 \le \gamma \le 13$ |
$11$ |
$0$ |
✓ |
$23^{26}$ |
|
✓ |
✓ |
$4^{2}\cdot5$ |
$1$ |
$7$ |
|
$\begin{bmatrix}2&10\\8&21\end{bmatrix}$, $\begin{bmatrix}2&19\\4&6\end{bmatrix}$ |
| 24.96.3.iz.1 |
24.96.3.96 |
|
24AB3 |
|
|
$X_{\mathrm{ns}}^+(24)$ |
$24$ |
$96$ |
$3$ |
$3$ |
$2 \le \gamma \le 3$ |
$4$ |
$0$ |
✓ |
$2^{18}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}14&17\\23&10\end{bmatrix}$, $\begin{bmatrix}18&5\\23&13\end{bmatrix}$, $\begin{bmatrix}19&2\\14&17\end{bmatrix}$, $\begin{bmatrix}19&7\\16&5\end{bmatrix}$ |
| 25.250.14.a.1 |
25.250.14.1 |
|
25A14 |
|
|
$X_{\mathrm{ns}}^+(25)$ |
$25$ |
$250$ |
$14$ |
$14$ |
$5 \le \gamma \le 14$ |
$10$ |
$0$ |
✓ |
$5^{56}$ |
|
✓ |
✓ |
$2^{3}\cdot8$ |
$1$ |
$0$ |
|
$\begin{bmatrix}5&21\\16&20\end{bmatrix}$, $\begin{bmatrix}11&9\\23&14\end{bmatrix}$ |
| 26.156.8.b.1 |
26.156.8.1 |
|
26A8 |
|
|
$X_{\mathrm{ns}}^+(26)$ |
$26$ |
$156$ |
$8$ |
$8$ |
$4 \le \gamma \le 6$ |
$6$ |
$0$ |
✓ |
$2^{10}\cdot13^{16}$ |
|
✓ |
✓ |
$2\cdot3^{2}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}15&11\\19&4\end{bmatrix}$, $\begin{bmatrix}17&5\\24&9\end{bmatrix}$ |
| 27.243.12.a.1 |
27.243.12.1 |
|
27A12 |
|
|
$X_{\mathrm{ns}}^+(27)$ |
$27$ |
$243$ |
$12$ |
$12$ |
$6 \le \gamma \le 9$ |
$9$ |
$0$ |
✓ |
$3^{72}$ |
|
✓ |
✓ |
$6^{2}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}22&20\\18&5\end{bmatrix}$, $\begin{bmatrix}24&20\\16&3\end{bmatrix}$ |
| 28.168.8.d.1 |
28.168.8.2 |
|
28B8 |
|
|
$X_{\mathrm{ns}}^+(28)$ |
$28$ |
$168$ |
$8$ |
$8$ |
$4 \le \gamma \le 8$ |
$6$ |
$0$ |
✓ |
$2^{30}\cdot7^{16}$ |
|
✓ |
✓ |
$1^{6}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}7&24\\12&11\end{bmatrix}$, $\begin{bmatrix}9&10\\21&19\end{bmatrix}$, $\begin{bmatrix}19&13\\20&9\end{bmatrix}$ |
| 29.406.24.a.1 |
29.406.24.1 |
|
29A24 |
|
29Nn |
$X_{\mathrm{ns}}^+(29)$ |
$29$ |
$406$ |
$24$ |
$24$ |
$8 \le \gamma \le 24$ |
$14$ |
$0$ |
✓ |
$29^{48}$ |
|
✓ |
✓ |
$2^{2}\cdot3^{2}\cdot6\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}14&11\\26&15\end{bmatrix}$, $\begin{bmatrix}15&12\\17&3\end{bmatrix}$ |
| 30.120.5.bn.1 |
30.120.5.37 |
|
30Q5 |
|
|
$X_{\mathrm{ns}}^+(30)$ |
$30$ |
$120$ |
$5$ |
$5$ |
$4$ |
$4$ |
$0$ |
✓ |
$2^{6}\cdot3^{10}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}2&19\\1&13\end{bmatrix}$, $\begin{bmatrix}11&0\\19&19\end{bmatrix}$, $\begin{bmatrix}27&17\\23&10\end{bmatrix}$ |
| 31.465.28.a.1 |
31.465.28.1 |
|
|
|
31Nn |
$X_{\mathrm{ns}}^+(31)$ |
$31$ |
$465$ |
$28$ |
$28$ |
$10 \le \gamma \le 28$ |
$15$ |
$0$ |
✓ |
$31^{56}$ |
|
✓ |
✓ |
$2^{2}\cdot8\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}29&10\\22&2\end{bmatrix}$, $\begin{bmatrix}30&4\\23&26\end{bmatrix}$ |
| 32.256.14.a.1 |
32.256.14.1 |
|
32A14 |
|
|
$X_{\mathrm{ns}}^+(32)$ |
$32$ |
$256$ |
$14$ |
$14$ |
$6 \le \gamma \le 8$ |
$8$ |
$0$ |
✓ |
$2^{136}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{2}\cdot4^{2}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}1&10\\9&31\end{bmatrix}$, $\begin{bmatrix}4&11\\7&28\end{bmatrix}$, $\begin{bmatrix}20&3\\29&17\end{bmatrix}$ |
| 33.330.17.d.1 |
33.330.17.4 |
|
33C17 |
|
|
$X_{\mathrm{ns}}^+(33)$ |
$33$ |
$330$ |
$17$ |
$17$ |
$7 \le \gamma \le 12$ |
$10$ |
$0$ |
✓ |
$3^{32}\cdot11^{34}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{3}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}10&3\\9&7\end{bmatrix}$, $\begin{bmatrix}21&22\\23&12\end{bmatrix}$, $\begin{bmatrix}28&3\\29&5\end{bmatrix}$ |
| 34.272.15.b.1 |
34.272.15.1 |
|
34A15 |
|
|
$X_{\mathrm{ns}}^+(34)$ |
$34$ |
$272$ |
$15$ |
$15$ |
$6 \le \gamma \le 12$ |
$8$ |
$0$ |
✓ |
$2^{18}\cdot17^{30}$ |
|
✓ |
✓ |
$1\cdot2^{2}\cdot3^{2}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}7&9\\25&32\end{bmatrix}$, $\begin{bmatrix}8&31\\23&26\end{bmatrix}$, $\begin{bmatrix}18&7\\23&16\end{bmatrix}$ |
| 35.420.26.d.1 |
35.420.26.3 |
|
|
|
|
$X_{\mathrm{ns}}^+(35)$ |
$35$ |
$420$ |
$26$ |
$26$ |
$9 \le \gamma \le 20$ |
$12$ |
$0$ |
✓ |
$5^{52}\cdot7^{52}$ |
|
✓ |
✓ |
$1^{4}\cdot2^{6}\cdot3^{2}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}9&11\\22&26\end{bmatrix}$, $\begin{bmatrix}16&15\\4&19\end{bmatrix}$, $\begin{bmatrix}29&3\\17&26\end{bmatrix}$ |
| 36.216.10.bl.1 |
36.216.10.8 |
|
36T10 |
|
|
$X_{\mathrm{ns}}^+(36)$ |
$36$ |
$216$ |
$10$ |
$10$ |
$4 \le \gamma \le 8$ |
$6$ |
$0$ |
✓ |
$2^{38}\cdot3^{40}$ |
|
✓ |
✓ |
$1^{6}\cdot2^{2}$ |
$1$ |
$0$ |
|
$\begin{bmatrix}6&7\\29&30\end{bmatrix}$, $\begin{bmatrix}9&16\\35&27\end{bmatrix}$, $\begin{bmatrix}27&23\\29&4\end{bmatrix}$ |
| 37.666.43.a.1 |
37.666.43.1 |
|
|
|
37Nn |
$X_{\mathrm{ns}}^+(37)$ |
$37$ |
$666$ |
$43$ |
$43$ |
$13 \le \gamma \le 43$ |
$18$ |
$0$ |
✓ |
$37^{86}$ |
|
✓ |
✓ |
$1^{4}\cdot3^{4}\cdot27$ |
|
$0$ |
|
$\begin{bmatrix}22&14\\34&15\end{bmatrix}$, $\begin{bmatrix}36&23\\19&13\end{bmatrix}$ |
| 38.342.20.b.1 |
38.342.20.2 |
|
38A20 |
|
|
$X_{\mathrm{ns}}^+(38)$ |
$38$ |
$342$ |
$20$ |
$20$ |
$8 \le \gamma \le 16$ |
$9$ |
$0$ |
✓ |
$2^{24}\cdot19^{40}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{2}\cdot3\cdot4\cdot6$ |
|
$0$ |
|
$\begin{bmatrix}7&8\\17&31\end{bmatrix}$, $\begin{bmatrix}11&11\\5&0\end{bmatrix}$ |
| 39.468.28.d.1 |
39.468.28.4 |
|
|
|
|
$X_{\mathrm{ns}}^+(39)$ |
$39$ |
$468$ |
$28$ |
$28$ |
$10 \le \gamma \le 18$ |
$12$ |
$0$ |
✓ |
$3^{50}\cdot13^{56}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{4}\cdot3^{4}\cdot6$ |
|
$0$ |
|
$\begin{bmatrix}26&16\\7&10\end{bmatrix}$, $\begin{bmatrix}30&16\\7&14\end{bmatrix}$, $\begin{bmatrix}34&13\\31&5\end{bmatrix}$ |
| 40.320.19.h.1 |
40.320.19.1 |
|
40I19 |
|
|
$X_{\mathrm{ns}}^+(40)$ |
$40$ |
$320$ |
$19$ |
$19$ |
$7 \le \gamma \le 8$ |
$8$ |
$0$ |
✓ |
$2^{108}\cdot5^{38}$ |
|
✓ |
✓ |
$1^{17}\cdot2$ |
|
$0$ |
|
$\begin{bmatrix}2&15\\13&38\end{bmatrix}$, $\begin{bmatrix}29&18\\22&11\end{bmatrix}$, $\begin{bmatrix}31&30\\39&9\end{bmatrix}$, $\begin{bmatrix}34&9\\31&25\end{bmatrix}$ |
| 41.820.54.a.1 |
41.820.54.1 |
|
|
|
41Nn |
$X_{\mathrm{ns}}^+(41)$ |
$41$ |
$820$ |
$54$ |
$54$ |
$16 \le \gamma \le 54$ |
$20$ |
$0$ |
✓ |
$41^{108}$ |
|
✓ |
✓ |
$2\cdot3^{2}\cdot4^{2}\cdot8\cdot12\cdot18$ |
|
$0$ |
|
$\begin{bmatrix}2&9\\32&34\end{bmatrix}$, $\begin{bmatrix}37&0\\4&4\end{bmatrix}$ |
| 42.252.11.p.1 |
42.252.11.14 |
|
42L11 |
|
|
$X_{\mathrm{ns}}^+(42)$ |
$42$ |
$252$ |
$11$ |
$11$ |
$4 \le \gamma \le 6$ |
$6$ |
$0$ |
✓ |
$2^{14}\cdot3^{20}\cdot7^{22}$ |
|
✓ |
✓ |
$1^{9}\cdot2$ |
$1$ |
$0$ |
|
$\begin{bmatrix}27&34\\11&15\end{bmatrix}$, $\begin{bmatrix}33&13\\26&9\end{bmatrix}$, $\begin{bmatrix}34&1\\31&33\end{bmatrix}$ |
| 43.903.60.a.1 |
43.903.60.1 |
|
|
|
43Nn |
$X_{\mathrm{ns}}^+(43)$ |
$43$ |
$903$ |
$60$ |
$60$ |
$17 \le \gamma \le 60$ |
$21$ |
$0$ |
✓ |
$43^{120}$ |
|
✓ |
✓ |
$1^{2}\cdot2^{2}\cdot3^{2}\cdot10\cdot18\cdot20$ |
|
$0$ |
|
$\begin{bmatrix}0&9\\27&0\end{bmatrix}$, $\begin{bmatrix}8&31\\36&20\end{bmatrix}$ |
| 44.440.26.d.1 |
44.440.26.2 |
|
|
|
|
$X_{\mathrm{ns}}^+(44)$ |
$44$ |
$440$ |
$26$ |
$26$ |
$9 \le \gamma \le 16$ |
$10$ |
$0$ |
✓ |
$2^{94}\cdot11^{52}$ |
|
✓ |
✓ |
$1^{10}\cdot2^{6}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}18&11\\37&26\end{bmatrix}$, $\begin{bmatrix}29&29\\0&15\end{bmatrix}$, $\begin{bmatrix}41&29\\15&12\end{bmatrix}$ |
| 45.540.34.m.1 |
45.540.34.4 |
|
|
|
|
$X_{\mathrm{ns}}^+(45)$ |
$45$ |
$540$ |
$34$ |
$34$ |
$11 \le \gamma \le 18$ |
$12$ |
$0$ |
✓ |
$3^{132}\cdot5^{68}$ |
|
✓ |
✓ |
$1^{7}\cdot2^{2}\cdot3\cdot4^{5}$ |
|
$0$ |
|
$\begin{bmatrix}4&24\\42&25\end{bmatrix}$, $\begin{bmatrix}7&7\\7&38\end{bmatrix}$, $\begin{bmatrix}26&28\\30&19\end{bmatrix}$ |
| 46.506.31.b.1 |
46.506.31.2 |
|
|
|
|
$X_{\mathrm{ns}}^+(46)$ |
$46$ |
$506$ |
$31$ |
$31$ |
$11 \le \gamma \le 26$ |
$11$ |
$0$ |
✓ |
$2^{36}\cdot23^{62}$ |
|
✓ |
✓ |
$1^{4}\cdot2^{2}\cdot4^{2}\cdot5\cdot10$ |
|
$0$ |
|
$\begin{bmatrix}1&26\\25&45\end{bmatrix}$, $\begin{bmatrix}11&27\\16&35\end{bmatrix}$, $\begin{bmatrix}11&33\\22&35\end{bmatrix}$ |
| 47.1081.73.a.1 |
47.1081.73.1 |
|
|
|
47Nn |
$X_{\mathrm{ns}}^+(47)$ |
$47$ |
$1081$ |
$73$ |
$73$ |
$20 \le \gamma \le 73$ |
$23$ |
$0$ |
✓ |
$47^{146}$ |
|
✓ |
✓ |
$16\cdot24\cdot33$ |
|
$0$ |
|
$\begin{bmatrix}11&12\\35&46\end{bmatrix}$, $\begin{bmatrix}39&22\\30&8\end{bmatrix}$ |
| 48.384.21.bpo.1 |
48.384.21.287 |
|
48CR21 |
|
|
$X_{\mathrm{ns}}^+(48)$ |
$48$ |
$384$ |
$21$ |
$21$ |
$6 \le \gamma \le 8$ |
$8$ |
$0$ |
✓ |
$2^{162}\cdot3^{38}$ |
|
✓ |
✓ |
$1^{13}\cdot2^{4}$ |
|
$0$ |
|
$\begin{bmatrix}8&37\\33&40\end{bmatrix}$, $\begin{bmatrix}21&5\\23&16\end{bmatrix}$, $\begin{bmatrix}34&45\\15&37\end{bmatrix}$, $\begin{bmatrix}39&10\\46&29\end{bmatrix}$ |
| 49.1029.69.a.1 |
49.1029.69.1 |
|
|
|
|
$X_{\mathrm{ns}}^+(49)$ |
$49$ |
$1029$ |
$69$ |
$69$ |
$19 \le \gamma \le 49$ |
$21$ |
$0$ |
✓ |
$7^{276}$ |
|
✓ |
✓ |
$3\cdot6\cdot9^{2}\cdot18\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}38&48\\8&11\end{bmatrix}$, $\begin{bmatrix}41&29\\11&12\end{bmatrix}$ |
| 50.500.32.b.1 |
50.500.32.1 |
|
|
|
|
$X_{\mathrm{ns}}^+(50)$ |
$50$ |
$500$ |
$32$ |
$32$ |
$10 \le \gamma \le 25$ |
$10$ |
$0$ |
✓ |
$2^{36}\cdot5^{128}$ |
|
✓ |
✓ |
$2^{4}\cdot8^{3}$ |
|
$0$ |
|
$\begin{bmatrix}8&49\\41&42\end{bmatrix}$, $\begin{bmatrix}12&43\\7&19\end{bmatrix}$, $\begin{bmatrix}45&8\\42&37\end{bmatrix}$ |
| 51.816.53.d.1 |
51.816.53.3 |
|
|
|
|
$X_{\mathrm{ns}}^+(51)$ |
$51$ |
$816$ |
$53$ |
$53$ |
$16 \le \gamma \le 36$ |
$16$ |
$0$ |
✓ |
$3^{94}\cdot17^{106}$ |
|
✓ |
✓ |
$1^{5}\cdot2^{6}\cdot3^{4}\cdot4^{3}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}7&13\\25&45\end{bmatrix}$, $\begin{bmatrix}19&19\\13&0\end{bmatrix}$, $\begin{bmatrix}37&34\\31&14\end{bmatrix}$ |
