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 |
2.6.0.a.1 |
2.6.0.1 |
X8 |
2C0 |
2C0-2a |
2Cs |
$X(2)$ |
$2$ |
$6$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$31721$ |
|
trivial subgroup |
3.12.0.a.1 |
3.12.0.1 |
|
3D0 |
3D0-3a |
3Cs |
$X_{\mathrm{sp}}(3)$ |
$3$ |
$12$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$1551$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}2&0\\0&2\end{bmatrix}$ |
4.24.0.b.1 |
4.24.0.8 |
X58 |
4G0 |
4G0-4a |
|
$X_{\mathrm{sp}}(4)$ |
$4$ |
$24$ |
$0$ |
$0$ |
$1$ |
$6$ |
$4$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$62$ |
|
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
5.30.0.a.1 |
5.30.0.1 |
|
5G0 |
5G0-5a |
5Cs |
$X_{\mathrm{sp}}(5)$ |
$5$ |
$30$ |
$0$ |
$0$ |
$1$ |
$6$ |
$2$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$14$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
6.72.1.a.1 |
6.72.1.1 |
|
6F1 |
|
|
$X_{\mathrm{sp}}(6)$ |
$6$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&5\end{bmatrix}$ |
7.56.1.a.1 |
7.56.1.1 |
|
7B1 |
|
7Cs |
$X_{\mathrm{sp}}(7)$ |
$7$ |
$56$ |
$1$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$7^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&2\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
8.96.3.g.1 |
8.96.3.16 |
X536 |
8A3 |
|
|
$X_{\mathrm{sp}}(8)$ |
$8$ |
$96$ |
$3$ |
$0$ |
$3$ |
$12$ |
$4$ |
|
$2^{16}$ |
|
|
✓ |
$1^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$, $\begin{bmatrix}5&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&5\end{bmatrix}$ |
9.108.4.c.1 |
9.108.4.4 |
|
9B4 |
|
|
$X_{\mathrm{sp}}(9)$ |
$9$ |
$108$ |
$4$ |
$0$ |
$3$ |
$12$ |
$2$ |
|
$3^{14}$ |
|
|
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}2&0\\0&2\end{bmatrix}$ |
10.180.7.a.1 |
10.180.7.1 |
|
10A7 |
|
|
$X_{\mathrm{sp}}(10)$ |
$10$ |
$180$ |
$7$ |
$0$ |
$4$ |
$18$ |
$6$ |
|
$2^{10}\cdot5^{12}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
11.132.6.a.1 |
11.132.6.1 |
|
11A6 |
|
11Cs |
$X_{\mathrm{sp}}(11)$ |
$11$ |
$132$ |
$6$ |
$1$ |
$4$ |
$12$ |
$2$ |
|
$11^{10}$ |
|
|
✓ |
$1^{6}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}2&0\\0&6\end{bmatrix}$ |
12.288.13.c.1 |
12.288.13.3 |
|
12A13 |
|
|
$X_{\mathrm{sp}}(12)$ |
$12$ |
$288$ |
$13$ |
$0$ |
$5 \le \gamma \le 6$ |
$24$ |
$8$ |
|
$2^{40}\cdot3^{20}$ |
|
|
✓ |
$1^{13}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
13.182.8.a.1 |
13.182.8.1 |
|
13B8 |
|
13Cs |
$X_{\mathrm{sp}}(13)$ |
$13$ |
$182$ |
$8$ |
$3$ |
$4 \le \gamma \le 6$ |
$14$ |
$2$ |
|
$13^{16}$ |
|
✓ |
✓ |
$2\cdot3^{2}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}10&0\\0&11\end{bmatrix}$, $\begin{bmatrix}11&0\\0&6\end{bmatrix}$ |
14.336.17.a.1 |
14.336.17.5 |
|
14B17 |
|
|
$X_{\mathrm{sp}}(14)$ |
$14$ |
$336$ |
$17$ |
$1$ |
$7 \le \gamma \le 12$ |
$24$ |
$6$ |
|
$2^{18}\cdot7^{30}$ |
|
|
✓ |
$1^{11}\cdot2^{3}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&3\end{bmatrix}$ |
15.360.19.a.1 |
15.360.19.1 |
|
15B19 |
|
|
$X_{\mathrm{sp}}(15)$ |
$15$ |
$360$ |
$19$ |
$2$ |
$8 \le \gamma \le 12$ |
$24$ |
$4$ |
|
$3^{28}\cdot5^{32}$ |
|
|
✓ |
$1^{17}\cdot2$ |
$1$ |
$1$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$ |
16.384.21.j.1 |
16.384.21.47 |
|
16C21 |
|
|
$X_{\mathrm{sp}}(16)$ |
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
17.306.17.a.1 |
17.306.17.1 |
|
17A17 |
|
17Cs |
$X_{\mathrm{sp}}(17)$ |
$17$ |
$306$ |
$17$ |
$6$ |
$7 \le \gamma \le 14$ |
$18$ |
$2$ |
|
$17^{32}$ |
|
|
✓ |
$1^{3}\cdot2^{2}\cdot3^{2}\cdot4$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&3\end{bmatrix}$, $\begin{bmatrix}12&0\\0&9\end{bmatrix}$ |
18.648.37.c.1 |
18.648.37.11 |
|
|
|
|
$X_{\mathrm{sp}}(18)$ |
$18$ |
$648$ |
$37$ |
$3$ |
$9 \le \gamma \le 12$ |
$36$ |
$6$ |
|
$2^{34}\cdot3^{126}$ |
|
|
✓ |
$1^{31}\cdot2^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&5\end{bmatrix}$ |
19.380.22.a.1 |
19.380.22.1 |
|
19A22 |
|
19Cs |
$X_{\mathrm{sp}}(19)$ |
$19$ |
$380$ |
$22$ |
$8$ |
$8 \le \gamma \le 18$ |
$20$ |
$2$ |
|
$19^{42}$ |
|
|
✓ |
$1^{4}\cdot2^{4}\cdot3^{2}\cdot4$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&14\end{bmatrix}$, $\begin{bmatrix}14&0\\0&15\end{bmatrix}$ |
20.720.43.e.1 |
20.720.43.5 |
|
|
|
|
$X_{\mathrm{sp}}(20)$ |
$20$ |
$720$ |
$43$ |
$5$ |
$14 \le \gamma \le 16$ |
$36$ |
$8$ |
|
$2^{116}\cdot5^{72}$ |
|
|
✓ |
$1^{43}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$, $\begin{bmatrix}17&0\\0&17\end{bmatrix}$ |
21.672.41.a.1 |
21.672.41.1 |
|
|
|
|
$X_{\mathrm{sp}}(21)$ |
$21$ |
$672$ |
$41$ |
$8$ |
$13 \le \gamma \le 24$ |
$32$ |
$4$ |
|
$3^{58}\cdot7^{72}$ |
|
|
✓ |
$1^{21}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}8&0\\0&8\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$, $\begin{bmatrix}19&0\\0&10\end{bmatrix}$ |
22.792.49.a.1 |
22.792.49.1 |
|
|
|
|
$X_{\mathrm{sp}}(22)$ |
$22$ |
$792$ |
$49$ |
$12$ |
$15 \le \gamma \le 24$ |
$36$ |
$6$ |
|
$2^{42}\cdot11^{90}$ |
|
|
✓ |
$1^{25}\cdot2^{12}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&15\end{bmatrix}$, $\begin{bmatrix}7&0\\0&19\end{bmatrix}$ |
23.552.35.a.1 |
23.552.35.1 |
|
|
|
23Cs |
$X_{\mathrm{sp}}(23)$ |
$23$ |
$552$ |
$35$ |
$13$ |
$11 \le \gamma \le 30$ |
$24$ |
$2$ |
|
$23^{66}$ |
|
|
✓ |
$2^{7}\cdot3\cdot4^{2}\cdot5^{2}$ |
|
$0$ |
|
$\begin{bmatrix}5&0\\0&14\end{bmatrix}$, $\begin{bmatrix}14&0\\0&9\end{bmatrix}$ |
24.1152.73.cg.1 |
24.1152.73.20 |
|
|
|
|
$X_{\mathrm{sp}}(24)$ |
$24$ |
$1152$ |
$73$ |
$9$ |
$17 \le \gamma \le 24$ |
$48$ |
$8$ |
|
$2^{334}\cdot3^{98}$ |
|
|
✓ |
$1^{73}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&17\end{bmatrix}$, $\begin{bmatrix}7&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$, $\begin{bmatrix}17&0\\0&17\end{bmatrix}$, $\begin{bmatrix}19&0\\0&19\end{bmatrix}$ |
25.750.48.a.1 |
25.750.48.1 |
|
|
|
|
$X_{\mathrm{sp}}(25)$ |
$25$ |
$750$ |
$48$ |
$18$ |
$13 \le \gamma \le 20$ |
$30$ |
$2$ |
|
$5^{176}$ |
|
|
✓ |
$2^{8}\cdot4^{2}\cdot8^{3}$ |
|
$0$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}3&0\\0&3\end{bmatrix}$ |
26.1092.71.a.1 |
26.1092.71.7 |
|
|
|
|
$X_{\mathrm{sp}}(26)$ |
$26$ |
$1092$ |
$71$ |
$20$ |
$19 \le \gamma \le 36$ |
$42$ |
$6$ |
|
$2^{62}\cdot13^{132}$ |
|
|
✓ |
$1^{27}\cdot2^{4}\cdot3^{12}$ |
|
$0$ |
|
$\begin{bmatrix}15&0\\0&3\end{bmatrix}$, $\begin{bmatrix}15&0\\0&7\end{bmatrix}$ |
27.972.64.d.1 |
27.972.64.5 |
|
|
|
|
$X_{\mathrm{sp}}(27)$ |
$27$ |
$972$ |
$64$ |
$20$ |
$18 \le \gamma \le 27$ |
$36$ |
$2$ |
|
$3^{336}$ |
|
|
✓ |
$1^{8}\cdot2^{7}\cdot3^{4}\cdot6^{5}$ |
|
$0$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}25&0\\0&14\end{bmatrix}$ |
28.1344.89.e.1 |
28.1344.89.9 |
|
|
|
|
$X_{\mathrm{sp}}(28)$ |
$28$ |
$1344$ |
$89$ |
$18$ |
$24 \le \gamma \le 48$ |
$48$ |
$8$ |
|
$2^{224}\cdot7^{156}$ |
|
|
✓ |
$1^{59}\cdot2^{15}$ |
|
$0$ |
|
$\begin{bmatrix}5&0\\0&17\end{bmatrix}$, $\begin{bmatrix}11&0\\0&17\end{bmatrix}$, $\begin{bmatrix}15&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
29.870.58.a.1 |
29.870.58.1 |
|
|
|
29Cs |
$X_{\mathrm{sp}}(29)$ |
$29$ |
$870$ |
$58$ |
$24$ |
$16 \le \gamma \le 52$ |
$30$ |
$2$ |
|
$29^{112}$ |
|
|
✓ |
$2^{6}\cdot3^{2}\cdot6^{2}\cdot8^{2}\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&10\end{bmatrix}$, $\begin{bmatrix}3&0\\0&10\end{bmatrix}$ |
30.2160.145.a.1 |
30.2160.145.1 |
|
|
|
|
$X_{\mathrm{sp}}(30)$ |
$30$ |
$2160$ |
$145$ |
$15$ |
$23 \le \gamma \le 48$ |
$72$ |
$12$ |
|
$2^{118}\cdot3^{190}\cdot5^{238}$ |
|
|
✓ |
$1^{139}\cdot2^{3}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&7\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$ |
31.992.67.a.1 |
31.992.67.1 |
|
|
|
31Cs |
$X_{\mathrm{sp}}(31)$ |
$31$ |
$992$ |
$67$ |
$28$ |
$18 \le \gamma \le 60$ |
$32$ |
$2$ |
|
$31^{130}$ |
|
|
✓ |
$2^{8}\cdot3\cdot4\cdot8^{2}\cdot12\cdot16$ |
|
$0$ |
|
$\begin{bmatrix}14&0\\0&17\end{bmatrix}$, $\begin{bmatrix}17&0\\0&11\end{bmatrix}$ |
32.1536.105.bv.1 |
32.1536.105.101 |
|
|
|
|
$X_{\mathrm{sp}}(32)$ |
$32$ |
$1536$ |
$105$ |
$34$ |
$28 \le \gamma \le 32$ |
$48$ |
$4$ |
|
$2^{884}$ |
|
|
✓ |
$1^{39}\cdot2^{21}\cdot4^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&31\end{bmatrix}$, $\begin{bmatrix}3&0\\0&11\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}17&0\\0&21\end{bmatrix}$ |
33.1584.109.a.1 |
33.1584.109.1 |
|
|
|
|
$X_{\mathrm{sp}}(33)$ |
$33$ |
$1584$ |
$109$ |
$33$ |
$28 \le \gamma \le 48$ |
$48$ |
$4$ |
|
$3^{140}\cdot11^{200}$ |
|
|
✓ |
$1^{47}\cdot2^{21}\cdot4^{5}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&23\end{bmatrix}$, $\begin{bmatrix}7&0\\0&4\end{bmatrix}$, $\begin{bmatrix}7&0\\0&19\end{bmatrix}$, $\begin{bmatrix}23&0\\0&23\end{bmatrix}$ |
34.1836.127.a.1 |
34.1836.127.1 |
|
|
|
|
$X_{\mathrm{sp}}(34)$ |
$34$ |
$1836$ |
$127$ |
$43$ |
$33 \le \gamma \le 68$ |
$54$ |
$6$ |
|
$2^{102}\cdot17^{240}$ |
|
|
✓ |
$1^{15}\cdot2^{18}\cdot3^{16}\cdot4^{7}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&23\end{bmatrix}$, $\begin{bmatrix}31&0\\0&1\end{bmatrix}$ |
35.1680.117.q.1 |
35.1680.117.9 |
|
|
|
|
$X_{\mathrm{sp}}(35)$ |
$35$ |
$1680$ |
$117$ |
$38$ |
$29 \le \gamma \le 56$ |
$48$ |
$4$ |
|
$5^{190}\cdot7^{204}$ |
|
|
✓ |
$1^{29}\cdot2^{32}\cdot3^{4}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}17&0\\0&26\end{bmatrix}$, $\begin{bmatrix}22&0\\0&3\end{bmatrix}$, $\begin{bmatrix}29&0\\0&34\end{bmatrix}$, $\begin{bmatrix}34&0\\0&6\end{bmatrix}$ |
36.2592.181.l.1 |
36.2592.181.58 |
|
|
|
|
$X_{\mathrm{sp}}(36)$ |
$36$ |
$2592$ |
$181$ |
$36$ |
$35 \le \gamma \le 48$ |
$72$ |
$8$ |
|
$2^{440}\cdot3^{582}$ |
|
|
✓ |
$1^{145}\cdot2^{18}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}17&0\\0&19\end{bmatrix}$, $\begin{bmatrix}19&0\\0&19\end{bmatrix}$, $\begin{bmatrix}25&0\\0&19\end{bmatrix}$ |
37.1406.98.a.1 |
37.1406.98.1 |
|
|
|
37Cs |
$X_{\mathrm{sp}}(37)$ |
$37$ |
$1406$ |
$98$ |
$45$ |
$25 \le \gamma \le 74$ |
$38$ |
$2$ |
|
$37^{192}$ |
|
|
✓ |
$1^{10}\cdot2^{2}\cdot3^{4}\cdot18\cdot27^{2}$ |
|
$0$ |
|
$\begin{bmatrix}13&0\\0&20\end{bmatrix}$, $\begin{bmatrix}17&0\\0&28\end{bmatrix}$ |
38.2280.161.a.1 |
38.2280.161.1 |
|
|
|
|
$X_{\mathrm{sp}}(38)$ |
$38$ |
$2280$ |
$161$ |
$56$ |
$40 \le \gamma \le 108$ |
$60$ |
$6$ |
|
$2^{126}\cdot19^{306}$ |
|
|
✓ |
$1^{37}\cdot2^{23}\cdot3^{10}\cdot4^{7}\cdot6^{2}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}15&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&13\end{bmatrix}$ |
39.2184.155.a.1 |
39.2184.155.1 |
|
|
|
|
$X_{\mathrm{sp}}(39)$ |
$39$ |
$2184$ |
$155$ |
$54$ |
$38 \le \gamma \le 72$ |
$56$ |
$4$ |
|
$3^{200}\cdot13^{288}$ |
|
|
✓ |
$1^{17}\cdot2^{29}\cdot3^{20}\cdot4^{2}\cdot6^{2}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&20\end{bmatrix}$, $\begin{bmatrix}1&0\\0&38\end{bmatrix}$, $\begin{bmatrix}2&0\\0&20\end{bmatrix}$, $\begin{bmatrix}38&0\\0&38\end{bmatrix}$ |
40.2880.205.gm.2 |
40.2880.205.42 |
|
|
|
|
$X_{\mathrm{sp}}(40)$ |
$40$ |
$2880$ |
$205$ |
$51$ |
$51 \le \gamma \le 64$ |
$72$ |
$8$ |
|
$2^{894}\cdot5^{330}$ |
|
|
✓ |
$1^{163}\cdot2^{21}$ |
|
$0$ |
|
$\begin{bmatrix}9&0\\0&19\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}23&0\\0&1\end{bmatrix}$, $\begin{bmatrix}29&0\\0&29\end{bmatrix}$, $\begin{bmatrix}31&0\\0&1\end{bmatrix}$, $\begin{bmatrix}33&0\\0&33\end{bmatrix}$ |
41.1722.123.a.1 |
41.1722.123.1 |
|
|
|
41Cs |
$X_{\mathrm{sp}}(41)$ |
$41$ |
$1722$ |
$123$ |
$54$ |
$30 \le \gamma \le 82$ |
$42$ |
$2$ |
|
$41^{240}$ |
|
|
✓ |
$2\cdot3^{5}\cdot4^{2}\cdot6\cdot8\cdot12^{2}\cdot18^{2}\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}28&0\\0&28\end{bmatrix}$, $\begin{bmatrix}30&0\\0&4\end{bmatrix}$ |
42.4032.289.a.1 |
42.4032.289.28 |
|
|
|
|
$X_{\mathrm{sp}}(42)$ |
$42$ |
$4032$ |
$289$ |
$57$ |
$53 \le \gamma \le 96$ |
$96$ |
$12$ |
|
$2^{222}\cdot3^{366}\cdot7^{502}$ |
|
|
✓ |
$1^{193}\cdot2^{46}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}19&0\\0&19\end{bmatrix}$, $\begin{bmatrix}25&0\\0&19\end{bmatrix}$, $\begin{bmatrix}29&0\\0&29\end{bmatrix}$ |
43.1892.136.a.1 |
43.1892.136.1 |
|
|
|
43Cs |
$X_{\mathrm{sp}}(43)$ |
$43$ |
$1892$ |
$136$ |
$62$ |
$33 \le \gamma \le 126$ |
$44$ |
$2$ |
|
$43^{266}$ |
|
|
✓ |
$1^{6}\cdot2^{6}\cdot3^{4}\cdot10\cdot18^{2}\cdot20^{3}$ |
|
$0$ |
|
$\begin{bmatrix}30&0\\0&26\end{bmatrix}$, $\begin{bmatrix}38&0\\0&30\end{bmatrix}$ |
44.3168.229.e.1 |
44.3168.229.3 |
|
|
|
|
$X_{\mathrm{sp}}(44)$ |
$44$ |
$3168$ |
$229$ |
$76$ |
$54 \le \gamma \le 88$ |
$72$ |
$8$ |
|
$2^{544}\cdot11^{420}$ |
|
|
✓ |
$1^{79}\cdot2^{63}\cdot4^{6}$ |
|
$0$ |
|
$\begin{bmatrix}9&0\\0&13\end{bmatrix}$, $\begin{bmatrix}21&0\\0&21\end{bmatrix}$, $\begin{bmatrix}23&0\\0&23\end{bmatrix}$, $\begin{bmatrix}37&0\\0&3\end{bmatrix}$ |
45.3240.235.j.1 |
45.3240.235.43 |
|
|
|
|
$X_{\mathrm{sp}}(45)$ |
$45$ |
$3240$ |
$235$ |
$72$ |
$57 \le \gamma \le 90$ |
$72$ |
$4$ |
|
$3^{746}\cdot5^{376}$ |
|
|
✓ |
$1^{91}\cdot2^{41}\cdot3^{6}\cdot4^{11}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&7\end{bmatrix}$, $\begin{bmatrix}44&0\\0&1\end{bmatrix}$, $\begin{bmatrix}44&0\\0&44\end{bmatrix}$ |
46.3312.241.a.1 |
46.3312.241.1 |
|
|
|
|
$X_{\mathrm{sp}}(46)$ |
$46$ |
$3312$ |
$241$ |
$95$ |
$56 \le \gamma \le 92$ |
$72$ |
$6$ |
|
$2^{182}\cdot23^{462}$ |
|
|
✓ |
$1^{22}\cdot2^{29}\cdot3^{3}\cdot4^{8}\cdot5^{14}\cdot6\cdot8^{3}\cdot10^{2}$ |
|
$0$ |
|
$\begin{bmatrix}21&0\\0&21\end{bmatrix}$, $\begin{bmatrix}37&0\\0&1\end{bmatrix}$ |
47.2256.165.a.1 |
47.2256.165.1 |
|
|
|
47Cs |
$X_{\mathrm{sp}}(47)$ |
$47$ |
$2256$ |
$165$ |
$73$ |
$39 \le \gamma \le 154$ |
$48$ |
$2$ |
|
$47^{322}$ |
|
|
✓ |
$1^{2}\cdot3^{2}\cdot4^{3}\cdot5\cdot8\cdot10\cdot16^{2}\cdot24\cdot33^{2}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&39\end{bmatrix}$, $\begin{bmatrix}30&0\\0&11\end{bmatrix}$ |
48.4608.337.wu.1 |
48.4608.337.299 |
|
|
|
|
$X_{\mathrm{sp}}(48)$ |
$48$ |
$4608$ |
$337$ |
$89$ |
$62 \le \gamma \le 64$ |
$96$ |
$8$ |
|
$2^{2124}\cdot3^{422}$ |
|
|
✓ |
$1^{293}\cdot2^{20}\cdot4$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&0\\0&17\end{bmatrix}$, $\begin{bmatrix}17&0\\0&17\end{bmatrix}$, $\begin{bmatrix}19&0\\0&43\end{bmatrix}$, $\begin{bmatrix}31&0\\0&31\end{bmatrix}$, $\begin{bmatrix}31&0\\0&37\end{bmatrix}$ |
49.2744.201.a.1 |
49.2744.201.2 |
|
|
|
|
$X_{\mathrm{sp}}(49)$ |
$49$ |
$2744$ |
$201$ |
$87$ |
$47 \le \gamma \le 98$ |
$56$ |
$2$ |
|
$7^{750}$ |
|
|
✓ |
$1^{3}\cdot3^{6}\cdot6^{8}\cdot9^{2}\cdot18\cdot24^{2}\cdot48$ |
|
$0$ |
|
$\begin{bmatrix}5&0\\0&10\end{bmatrix}$, $\begin{bmatrix}16&0\\0&6\end{bmatrix}$ |
50.4500.331.a.1 |
50.4500.331.3 |
|
|
|
|
$X_{\mathrm{sp}}(50)$ |
$50$ |
$4500$ |
$331$ |
$112$ |
$76 \le \gamma \le 100$ |
$90$ |
$6$ |
|
$2^{250}\cdot5^{1186}$ |
|
|
✓ |
$1^{19}\cdot2^{54}\cdot4^{24}\cdot6^{2}\cdot8^{12}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&1\end{bmatrix}$, $\begin{bmatrix}3&0\\0&17\end{bmatrix}$ |