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 |
$1$ |
$487580$ |
|
$\begin{bmatrix}1&1\\0&1\end{bmatrix}$ |
3.6.0.b.1 |
3.6.0.1 |
|
3C0 |
3C0-3a |
3Ns |
$X_{\mathrm{sp}}^+(3)$ |
$3$ |
$6$ |
$0$ |
$0$ |
$1$ |
$2$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1848$ |
|
$\begin{bmatrix}0&2\\1&0\end{bmatrix}$, $\begin{bmatrix}0&2\\2&0\end{bmatrix}$ |
4.12.0.f.1 |
4.12.0.11 |
X23 |
4F0 |
4F0-4a |
|
$X_{\mathrm{sp}}^+(4)$ |
$4$ |
$12$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$188$ |
|
$\begin{bmatrix}0&3\\3&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&3\end{bmatrix}$ |
5.15.0.a.1 |
5.15.0.1 |
|
5E0 |
5E0-5a |
5Ns |
$X_{\mathrm{sp}}^+(5)$ |
$5$ |
$15$ |
$0$ |
$0$ |
$1$ |
$3$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$55$ |
|
$\begin{bmatrix}0&1\\2&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&3\end{bmatrix}$ |
6.36.0.b.1 |
6.36.0.2 |
|
6L0 |
|
|
$X_{\mathrm{sp}}^+(6)$ |
$6$ |
$36$ |
$0$ |
$0$ |
$1$ |
$6$ |
$4$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$7$ |
|
$\begin{bmatrix}0&5\\1&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$ |
7.28.0.a.1 |
7.28.0.1 |
|
7F0 |
7F0-7a |
7Ns |
$X_{\mathrm{sp}}^+(7)$ |
$7$ |
$28$ |
$0$ |
$0$ |
$1$ |
$4$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$12$ |
|
$\begin{bmatrix}0&3\\4&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$ |
8.48.1.bv.1 |
8.48.1.91 |
X252 |
8I1 |
|
|
$X_{\mathrm{sp}}^+(8)$ |
$8$ |
$48$ |
$1$ |
$0$ |
$2$ |
$6$ |
$2$ |
✓ |
$2^{5}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}0&1\\7&0\end{bmatrix}$, $\begin{bmatrix}0&3\\7&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$ |
9.54.1.a.1 |
9.54.1.1 |
|
9E1 |
|
|
$X_{\mathrm{sp}}^+(9)$ |
$9$ |
$54$ |
$1$ |
$0$ |
$2$ |
$6$ |
$1$ |
✓ |
$3^{3}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}0&4\\2&0\end{bmatrix}$, $\begin{bmatrix}0&8\\2&0\end{bmatrix}$ |
10.90.3.b.1 |
10.90.3.1 |
|
10C3 |
|
|
$X_{\mathrm{sp}}^+(10)$ |
$10$ |
$90$ |
$3$ |
$0$ |
$3$ |
$9$ |
$3$ |
✓ |
$2^{4}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}0&1\\7&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$ |
11.66.2.a.1 |
11.66.2.1 |
|
11A2 |
|
11Ns |
$X_{\mathrm{sp}}^+(11)$ |
$11$ |
$66$ |
$2$ |
$1$ |
$2$ |
$6$ |
$1$ |
✓ |
$11^{3}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$6$ |
|
$\begin{bmatrix}0&8\\2&0\end{bmatrix}$, $\begin{bmatrix}9&0\\0&7\end{bmatrix}$ |
12.144.5.bl.1 |
12.144.5.27 |
|
12D5 |
|
|
$X_{\mathrm{sp}}^+(12)$ |
$12$ |
$144$ |
$5$ |
$0$ |
$4$ |
$12$ |
$4$ |
|
$2^{15}\cdot3^{7}$ |
|
|
✓ |
$1^{5}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}0&7\\11&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$ |
13.91.3.b.1 |
13.91.3.1 |
|
13C3 |
|
13Ns |
$X_{\mathrm{sp}}^+(13)$ |
$13$ |
$91$ |
$3$ |
$3$ |
$3$ |
$7$ |
$1$ |
✓ |
$13^{6}$ |
✓ |
✓ |
✓ |
$3$ |
$1$ |
$7$ |
|
$\begin{bmatrix}0&6\\8&0\end{bmatrix}$, $\begin{bmatrix}6&0\\0&3\end{bmatrix}$ |
14.168.7.d.1 |
14.168.7.4 |
|
14D7 |
|
|
$X_{\mathrm{sp}}^+(14)$ |
$14$ |
$168$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$3$ |
✓ |
$2^{7}\cdot7^{12}$ |
|
|
✓ |
$1^{5}\cdot2$ |
$2$ |
$2$ |
|
$\begin{bmatrix}0&11\\13&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
15.180.8.d.1 |
15.180.8.5 |
|
15A8 |
|
|
$X_{\mathrm{sp}}^+(15)$ |
$15$ |
$180$ |
$8$ |
$2$ |
$5 \le \gamma \le 8$ |
$12$ |
$2$ |
✓ |
$3^{11}\cdot5^{13}$ |
|
|
✓ |
$1^{8}$ |
$2$ |
$2$ |
|
$\begin{bmatrix}0&4\\8&0\end{bmatrix}$, $\begin{bmatrix}0&8\\14&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&13\end{bmatrix}$ |
16.192.9.fw.1 |
16.192.9.205 |
|
16K9 |
|
|
$X_{\mathrm{sp}}^+(16)$ |
$16$ |
$192$ |
$9$ |
$3$ |
$5 \le \gamma \le 6$ |
$12$ |
$2$ |
✓ |
$2^{60}$ |
|
|
✓ |
$1^{9}$ |
$2$ |
$2$ |
|
$\begin{bmatrix}0&13\\7&0\end{bmatrix}$, $\begin{bmatrix}0&13\\9&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&15\end{bmatrix}$ |
17.153.7.a.1 |
17.153.7.1 |
|
17A7 |
|
17Ns |
$X_{\mathrm{sp}}^+(17)$ |
$17$ |
$153$ |
$7$ |
$6$ |
$4 \le \gamma \le 7$ |
$9$ |
$1$ |
✓ |
$17^{13}$ |
|
✓ |
✓ |
$1^{2}\cdot2\cdot3$ |
$2$ |
$7$ |
|
$\begin{bmatrix}0&4\\10&0\end{bmatrix}$, $\begin{bmatrix}9&0\\0&10\end{bmatrix}$ |
18.324.16.h.1 |
18.324.16.9 |
|
18D16 |
|
|
$X_{\mathrm{sp}}^+(18)$ |
$18$ |
$324$ |
$16$ |
$2$ |
$5 \le \gamma \le 9$ |
$18$ |
$3$ |
|
$2^{14}\cdot3^{54}$ |
|
|
✓ |
$1^{14}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}0&13\\5&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$ |
19.190.9.a.1 |
19.190.9.1 |
|
19A9 |
|
19Ns |
$X_{\mathrm{sp}}^+(19)$ |
$19$ |
$190$ |
$9$ |
$8$ |
$5 \le \gamma \le 9$ |
$10$ |
$1$ |
✓ |
$19^{17}$ |
|
✓ |
✓ |
$1^{2}\cdot3\cdot4$ |
$2$ |
$6$ |
|
$\begin{bmatrix}0&10\\12&0\end{bmatrix}$, $\begin{bmatrix}8&0\\0&9\end{bmatrix}$ |
20.360.20.r.1 |
20.360.20.5 |
|
20B20 |
|
|
$X_{\mathrm{sp}}^+(20)$ |
$20$ |
$360$ |
$20$ |
$4$ |
$7 \le \gamma \le 12$ |
$18$ |
$4$ |
|
$2^{53}\cdot5^{33}$ |
|
|
✓ |
$1^{20}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}0&17\\11&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&7\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$ |
21.336.17.d.1 |
21.336.17.3 |
|
21B17 |
|
|
$X_{\mathrm{sp}}^+(21)$ |
$21$ |
$336$ |
$17$ |
$6$ |
$8 \le \gamma \le 12$ |
$16$ |
$2$ |
✓ |
$3^{23}\cdot7^{29}$ |
|
|
✓ |
$1^{11}\cdot2^{3}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}0&2\\11&0\end{bmatrix}$, $\begin{bmatrix}0&20\\2&0\end{bmatrix}$, $\begin{bmatrix}20&0\\0&19\end{bmatrix}$ |
22.396.22.d.1 |
22.396.22.3 |
|
22B22 |
|
|
$X_{\mathrm{sp}}^+(22)$ |
$22$ |
$396$ |
$22$ |
$8$ |
$9 \le \gamma \le 12$ |
$18$ |
$3$ |
✓ |
$2^{18}\cdot11^{40}$ |
|
|
✓ |
$1^{12}\cdot2^{5}$ |
$1$ |
$2$ |
|
$\begin{bmatrix}0&13\\1&0\end{bmatrix}$, $\begin{bmatrix}0&13\\17&0\end{bmatrix}$ |
23.276.15.a.1 |
23.276.15.1 |
|
23A15 |
|
23Ns |
$X_{\mathrm{sp}}^+(23)$ |
$23$ |
$276$ |
$15$ |
$13$ |
$6 \le \gamma \le 15$ |
$12$ |
$1$ |
✓ |
$23^{28}$ |
|
✓ |
✓ |
$2\cdot4^{2}\cdot5$ |
$1$ |
$7$ |
|
$\begin{bmatrix}0&4\\9&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&3\end{bmatrix}$ |
24.576.33.dnf.1 |
24.576.33.751 |
|
|
|
|
$X_{\mathrm{sp}}^+(24)$ |
$24$ |
$576$ |
$33$ |
$6$ |
$9 \le \gamma \le 16$ |
$24$ |
$4$ |
|
$2^{150}\cdot3^{43}$ |
|
|
✓ |
$1^{33}$ |
|
$0$ |
|
$\begin{bmatrix}0&5\\19&0\end{bmatrix}$, $\begin{bmatrix}0&13\\19&0\end{bmatrix}$, $\begin{bmatrix}0&17\\11&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&17\end{bmatrix}$ |
25.375.22.a.1 |
25.375.22.1 |
|
25A22 |
|
|
$X_{\mathrm{sp}}^+(25)$ |
$25$ |
$375$ |
$22$ |
$16$ |
$7 \le \gamma \le 20$ |
$15$ |
$1$ |
✓ |
$5^{80}$ |
|
✓ |
✓ |
$2^{5}\cdot4\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}0&2\\17&0\end{bmatrix}$, $\begin{bmatrix}0&7\\24&0\end{bmatrix}$ |
26.546.33.c.1 |
26.546.33.3 |
|
|
|
|
$X_{\mathrm{sp}}^+(26)$ |
$26$ |
$546$ |
$33$ |
$14$ |
$10 \le \gamma \le 18$ |
$21$ |
$3$ |
✓ |
$2^{28}\cdot13^{61}$ |
|
|
✓ |
$1^{11}\cdot2^{2}\cdot3^{6}$ |
|
$0$ |
|
$\begin{bmatrix}0&25\\7&0\end{bmatrix}$, $\begin{bmatrix}17&0\\0&11\end{bmatrix}$ |
27.486.28.g.1 |
27.486.28.7 |
|
|
|
|
$X_{\mathrm{sp}}^+(27)$ |
$27$ |
$486$ |
$28$ |
$16$ |
$10 \le \gamma \le 18$ |
$18$ |
$1$ |
✓ |
$3^{146}$ |
|
|
✓ |
$1^{4}\cdot2^{3}\cdot3^{2}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}0&25\\10&0\end{bmatrix}$, $\begin{bmatrix}25&0\\0&14\end{bmatrix}$ |
28.672.41.df.1 |
28.672.41.53 |
|
|
|
|
$X_{\mathrm{sp}}^+(28)$ |
$28$ |
$672$ |
$41$ |
$13$ |
$13 \le \gamma \le 24$ |
$24$ |
$4$ |
|
$2^{102}\cdot7^{71}$ |
|
|
✓ |
$1^{29}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}0&1\\3&0\end{bmatrix}$, $\begin{bmatrix}0&13\\19&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&27\end{bmatrix}$ |
29.435.26.a.1 |
29.435.26.1 |
|
|
|
29Ns |
$X_{\mathrm{sp}}^+(29)$ |
$29$ |
$435$ |
$26$ |
$24$ |
$9 \le \gamma \le 26$ |
$15$ |
$1$ |
✓ |
$29^{50}$ |
|
✓ |
✓ |
$2^{3}\cdot3^{2}\cdot6\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}0&6\\6&0\end{bmatrix}$, $\begin{bmatrix}0&25\\21&0\end{bmatrix}$ |
30.1080.69.w.1 |
30.1080.69.17 |
|
|
|
|
$X_{\mathrm{sp}}^+(30)$ |
$30$ |
$1080$ |
$69$ |
$10$ |
$12 \le \gamma \le 30$ |
$36$ |
$6$ |
|
$2^{55}\cdot3^{89}\cdot5^{113}$ |
|
|
✓ |
$1^{67}\cdot2$ |
|
$0$ |
|
$\begin{bmatrix}0&11\\23&0\end{bmatrix}$, $\begin{bmatrix}0&13\\29&0\end{bmatrix}$, $\begin{bmatrix}13&0\\0&29\end{bmatrix}$ |
31.496.30.a.1 |
31.496.30.1 |
|
|
|
31Ns |
$X_{\mathrm{sp}}^+(31)$ |
$31$ |
$496$ |
$30$ |
$28$ |
$10 \le \gamma \le 30$ |
$16$ |
$1$ |
✓ |
$31^{58}$ |
|
✓ |
✓ |
$2^{3}\cdot8\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}0&22\\10&0\end{bmatrix}$, $\begin{bmatrix}20&0\\0&6\end{bmatrix}$ |
32.768.49.mv.1 |
32.768.49.527 |
|
|
|
|
$X_{\mathrm{sp}}^+(32)$ |
$32$ |
$768$ |
$49$ |
$24$ |
$15 \le \gamma \le 24$ |
$24$ |
$2$ |
✓ |
$2^{411}$ |
|
|
✓ |
$1^{19}\cdot2^{9}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}0&19\\23&0\end{bmatrix}$, $\begin{bmatrix}1&0\\0&19\end{bmatrix}$, $\begin{bmatrix}3&0\\0&31\end{bmatrix}$ |
33.792.49.b.1 |
33.792.49.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(33)$ |
$33$ |
$792$ |
$49$ |
$25$ |
$16 \le \gamma \le 24$ |
$24$ |
$2$ |
✓ |
$3^{61}\cdot11^{89}$ |
|
|
✓ |
$1^{23}\cdot2^{9}\cdot4^{2}$ |
|
$0$ |
|
$\begin{bmatrix}0&5\\20&0\end{bmatrix}$, $\begin{bmatrix}2&0\\0&19\end{bmatrix}$, $\begin{bmatrix}29&0\\0&31\end{bmatrix}$ |
34.918.60.b.1 |
34.918.60.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(34)$ |
$34$ |
$918$ |
$60$ |
$29$ |
$17 \le \gamma \le 42$ |
$27$ |
$3$ |
✓ |
$2^{47}\cdot17^{113}$ |
|
|
✓ |
$1^{8}\cdot2^{8}\cdot3^{8}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}0&33\\29&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$ |
35.840.55.d.1 |
35.840.55.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(35)$ |
$35$ |
$840$ |
$55$ |
$32$ |
$16 \le \gamma \le 30$ |
$24$ |
$2$ |
✓ |
$5^{89}\cdot7^{95}$ |
|
|
✓ |
$1^{13}\cdot2^{16}\cdot3^{2}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}0&6\\6&0\end{bmatrix}$, $\begin{bmatrix}0&22\\31&0\end{bmatrix}$, $\begin{bmatrix}26&0\\0&16\end{bmatrix}$ |
36.1296.85.gb.1 |
36.1296.85.153 |
|
|
|
|
$X_{\mathrm{sp}}^+(36)$ |
$36$ |
$1296$ |
$85$ |
$23$ |
$18 \le \gamma \le 24$ |
$36$ |
$4$ |
|
$2^{205}\cdot3^{272}$ |
|
|
✓ |
$1^{69}\cdot2^{8}$ |
|
$0$ |
|
$\begin{bmatrix}0&31\\7&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&29\end{bmatrix}$, $\begin{bmatrix}13&0\\0&11\end{bmatrix}$ |
37.703.45.a.1 |
37.703.45.1 |
|
|
|
37Ns |
$X_{\mathrm{sp}}^+(37)$ |
$37$ |
$703$ |
$45$ |
$44$ |
$14 \le \gamma \le 45$ |
$19$ |
$1$ |
✓ |
$37^{88}$ |
|
✓ |
✓ |
$1^{6}\cdot3^{4}\cdot27$ |
|
$0$ |
|
$\begin{bmatrix}0&14\\36&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&15\end{bmatrix}$ |
38.1140.76.d.1 |
38.1140.76.4 |
|
|
|
|
$X_{\mathrm{sp}}^+(38)$ |
$38$ |
$1140$ |
$76$ |
$38$ |
$21 \le \gamma \le 54$ |
$30$ |
$3$ |
✓ |
$2^{58}\cdot19^{144}$ |
|
|
✓ |
$1^{19}\cdot2^{10}\cdot3^{5}\cdot4^{4}\cdot6$ |
|
$0$ |
|
$\begin{bmatrix}0&37\\17&0\end{bmatrix}$, $\begin{bmatrix}7&0\\0&33\end{bmatrix}$ |
39.1092.72.b.1 |
39.1092.72.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(39)$ |
$39$ |
$1092$ |
$72$ |
$41$ |
$21 \le \gamma \le 36$ |
$28$ |
$2$ |
✓ |
$3^{91}\cdot13^{133}$ |
|
|
✓ |
$1^{8}\cdot2^{14}\cdot3^{10}\cdot6$ |
|
$0$ |
|
$\begin{bmatrix}0&11\\10&0\end{bmatrix}$, $\begin{bmatrix}4&0\\0&32\end{bmatrix}$, $\begin{bmatrix}28&0\\0&1\end{bmatrix}$ |
40.1440.99.cz.1 |
40.1440.99.25 |
|
|
|
|
$X_{\mathrm{sp}}^+(40)$ |
$40$ |
$1440$ |
$99$ |
$35$ |
$26 \le \gamma \le 48$ |
$36$ |
$4$ |
|
$2^{430}\cdot5^{159}$ |
|
|
✓ |
$1^{81}\cdot2^{9}$ |
|
$0$ |
|
$\begin{bmatrix}0&1\\37&0\end{bmatrix}$, $\begin{bmatrix}21&0\\0&3\end{bmatrix}$, $\begin{bmatrix}23&0\\0&11\end{bmatrix}$, $\begin{bmatrix}23&0\\0&31\end{bmatrix}$ |
41.861.57.a.1 |
41.861.57.1 |
|
|
|
41Ns |
$X_{\mathrm{sp}}^+(41)$ |
$41$ |
$861$ |
$57$ |
$54$ |
$16 \le \gamma \le 57$ |
$21$ |
$1$ |
✓ |
$41^{111}$ |
|
✓ |
✓ |
$2\cdot3^{3}\cdot4^{2}\cdot8\cdot12\cdot18$ |
|
$0$ |
|
$\begin{bmatrix}0&21\\5&0\end{bmatrix}$, $\begin{bmatrix}0&30\\32&0\end{bmatrix}$ |
42.2016.137.u.1 |
42.2016.137.14 |
|
|
|
|
$X_{\mathrm{sp}}^+(42)$ |
$42$ |
$2016$ |
$137$ |
$34$ |
$27 \le \gamma \le 48$ |
$48$ |
$6$ |
|
$2^{103}\cdot3^{171}\cdot7^{237}$ |
|
|
✓ |
$1^{95}\cdot2^{21}$ |
|
$0$ |
|
$\begin{bmatrix}0&5\\41&0\end{bmatrix}$, $\begin{bmatrix}0&11\\19&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&17\end{bmatrix}$ |
43.946.63.a.1 |
43.946.63.1 |
|
|
|
43Ns |
$X_{\mathrm{sp}}^+(43)$ |
$43$ |
$946$ |
$63$ |
$61$ |
$18 \le \gamma \le 63$ |
$22$ |
$1$ |
✓ |
$43^{123}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{3}\cdot3^{2}\cdot10\cdot18\cdot20$ |
|
$0$ |
|
$\begin{bmatrix}0&16\\14&0\end{bmatrix}$, $\begin{bmatrix}0&29\\16&0\end{bmatrix}$ |
44.1584.109.cz.1 |
44.1584.109.45 |
|
|
|
|
$X_{\mathrm{sp}}^+(44)$ |
$44$ |
$1584$ |
$109$ |
$51$ |
$29 \le \gamma \le 48$ |
$36$ |
$4$ |
✓ |
$2^{257}\cdot11^{199}$ |
|
|
✓ |
$1^{41}\cdot2^{28}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}0&5\\3&0\end{bmatrix}$, $\begin{bmatrix}0&37\\1&0\end{bmatrix}$, $\begin{bmatrix}43&0\\0&1\end{bmatrix}$ |
45.1620.112.f.1 |
45.1620.112.10 |
|
|
|
|
$X_{\mathrm{sp}}^+(45)$ |
$45$ |
$1620$ |
$112$ |
$53$ |
$30 \le \gamma \le 60$ |
$36$ |
$2$ |
✓ |
$3^{354}\cdot5^{179}$ |
|
|
✓ |
$1^{47}\cdot2^{18}\cdot3^{3}\cdot4^{5}$ |
|
$0$ |
|
$\begin{bmatrix}0&22\\44&0\end{bmatrix}$, $\begin{bmatrix}19&0\\0&23\end{bmatrix}$, $\begin{bmatrix}37&0\\0&32\end{bmatrix}$ |
46.1656.115.d.1 |
46.1656.115.3 |
|
|
|
|
$X_{\mathrm{sp}}^+(46)$ |
$46$ |
$1656$ |
$115$ |
$63$ |
$30 \le \gamma \le 90$ |
$36$ |
$3$ |
✓ |
$2^{85}\cdot23^{220}$ |
|
|
✓ |
$1^{13}\cdot2^{13}\cdot3\cdot4^{5}\cdot5^{7}\cdot8\cdot10$ |
|
$0$ |
|
$\begin{bmatrix}0&31\\19&0\end{bmatrix}$, $\begin{bmatrix}29&0\\0&37\end{bmatrix}$ |
47.1128.77.a.1 |
47.1128.77.1 |
|
|
|
47Ns |
$X_{\mathrm{sp}}^+(47)$ |
$47$ |
$1128$ |
$77$ |
$73$ |
$21 \le \gamma \le 77$ |
$24$ |
$1$ |
✓ |
$47^{150}$ |
|
✓ |
✓ |
$4\cdot16\cdot24\cdot33$ |
|
$0$ |
|
$\begin{bmatrix}0&12\\4&0\end{bmatrix}$, $\begin{bmatrix}0&22\\6&0\end{bmatrix}$ |
48.2304.161.pxh.1 |
48.2304.161.8611 |
|
|
|
|
$X_{\mathrm{sp}}^+(48)$ |
$48$ |
$2304$ |
$161$ |
$55$ |
$31 \le \gamma \le 32$ |
$48$ |
$4$ |
|
$2^{1013}\cdot3^{199}$ |
|
|
✓ |
$1^{143}\cdot2^{9}$ |
|
$0$ |
|
$\begin{bmatrix}0&35\\17&0\end{bmatrix}$, $\begin{bmatrix}0&35\\19&0\end{bmatrix}$, $\begin{bmatrix}0&37\\11&0\end{bmatrix}$, $\begin{bmatrix}0&43\\23&0\end{bmatrix}$ |
49.1372.94.a.1 |
49.1372.94.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(49)$ |
$49$ |
$1372$ |
$94$ |
$78$ |
$25 \le \gamma \le 49$ |
$28$ |
$1$ |
✓ |
$7^{350}$ |
|
✓ |
✓ |
$1\cdot3^{3}\cdot6^{4}\cdot9^{2}\cdot18\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}0&27\\33&0\end{bmatrix}$, $\begin{bmatrix}32&0\\0&26\end{bmatrix}$ |
50.2250.161.b.1 |
50.2250.161.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(50)$ |
$50$ |
$2250$ |
$161$ |
$72$ |
$39 \le \gamma \le 75$ |
$45$ |
$3$ |
✓ |
$2^{120}\cdot5^{576}$ |
|
|
✓ |
$1^{9}\cdot2^{28}\cdot4^{12}\cdot8^{6}$ |
|
$0$ |
|
$\begin{bmatrix}0&1\\27&0\end{bmatrix}$, $\begin{bmatrix}0&3\\37&0\end{bmatrix}$ |