| 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 |
| 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 |
|
|
$X_{\mathrm{ns}}^+(22)$ |
$22$ |
$110$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$5$ |
$0$ |
✓ |
$2^{6}\cdot11^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$1$ |
$5$ |
|
$\begin{bmatrix}9&9\\0&13\end{bmatrix}$, $\begin{bmatrix}16&7\\13&6\end{bmatrix}$, $\begin{bmatrix}17&0\\5&5\end{bmatrix}$ |
| 25.100.4.d.1 |
25.100.4.4 |
|
25E4 |
|
|
|
$25$ |
$100$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$5^{16}$ |
|
|
✓ |
$2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&10\\20&22\end{bmatrix}$, $\begin{bmatrix}6&24\\11&12\end{bmatrix}$ |
| 25.150.4.c.1 |
25.150.4.3 |
|
25F4 |
|
|
|
$25$ |
$150$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$14$ |
$0$ |
|
$5^{16}$ |
|
|
✓ |
$2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&15\\20&4\end{bmatrix}$, $\begin{bmatrix}7&20\\15&7\end{bmatrix}$ |
| 25.150.4.d.1 |
25.150.4.4 |
|
25F4 |
|
|
|
$25$ |
$150$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$14$ |
$0$ |
✓ |
$5^{16}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}13&22\\9&7\end{bmatrix}$, $\begin{bmatrix}17&7\\15&8\end{bmatrix}$ |
| 25.150.4.g.1 |
25.150.4.7 |
|
25G4 |
|
|
|
$25$ |
$150$ |
$4$ |
$4$ |
$3 \le \gamma \le 5$ |
$14$ |
$0$ |
|
$5^{16}$ |
|
|
✓ |
$2^{2}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&11\\0&3\end{bmatrix}$, $\begin{bmatrix}9&20\\0&12\end{bmatrix}$ |
| 28.84.4.a.1 |
28.84.4.1 |
|
28B4 |
|
|
|
$28$ |
$84$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$3$ |
$0$ |
✓ |
$2^{16}\cdot7^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}7&9\\16&1\end{bmatrix}$, $\begin{bmatrix}19&15\\15&16\end{bmatrix}$, $\begin{bmatrix}23&2\\6&5\end{bmatrix}$, $\begin{bmatrix}27&27\\6&9\end{bmatrix}$ |
| 33.110.4.a.1 |
33.110.4.2 |
|
11A4 |
|
|
|
$33$ |
$110$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$10$ |
$0$ |
✓ |
$3^{6}\cdot11^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}4&27\\30&29\end{bmatrix}$, $\begin{bmatrix}11&32\\10&27\end{bmatrix}$, $\begin{bmatrix}15&7\\28&18\end{bmatrix}$ |
| 42.126.4.d.1 |
42.126.4.2 |
|
42I4 |
|
|
|
$42$ |
$126$ |
$4$ |
$4$ |
$3$ |
$3$ |
$0$ |
✓ |
$2^{6}\cdot3^{6}\cdot7^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}1&38\\31&13\end{bmatrix}$, $\begin{bmatrix}28&15\\15&13\end{bmatrix}$, $\begin{bmatrix}31&21\\18&25\end{bmatrix}$, $\begin{bmatrix}37&6\\6&17\end{bmatrix}$ |
| 44.110.4.a.1 |
44.110.4.4 |
|
11A4 |
|
|
|
$44$ |
$110$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$10$ |
$0$ |
✓ |
$2^{12}\cdot11^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}22&31\\31&39\end{bmatrix}$, $\begin{bmatrix}25&21\\36&19\end{bmatrix}$, $\begin{bmatrix}39&28\\20&5\end{bmatrix}$ |
| 44.110.4.d.1 |
44.110.4.3 |
|
22B4 |
|
|
|
$44$ |
$110$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$5$ |
$0$ |
✓ |
$2^{12}\cdot11^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}2&15\\1&20\end{bmatrix}$, $\begin{bmatrix}40&27\\27&36\end{bmatrix}$, $\begin{bmatrix}42&43\\43&1\end{bmatrix}$ |
| 48.72.4.bq.1 |
48.72.4.14 |
|
24H4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&1\\28&11\end{bmatrix}$, $\begin{bmatrix}7&41\\20&17\end{bmatrix}$, $\begin{bmatrix}11&20\\46&29\end{bmatrix}$, $\begin{bmatrix}15&5\\20&33\end{bmatrix}$, $\begin{bmatrix}33&41\\22&15\end{bmatrix}$, $\begin{bmatrix}35&14\\20&7\end{bmatrix}$ |
| 48.72.4.bq.2 |
48.72.4.15 |
|
24H4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&35\\22&31\end{bmatrix}$, $\begin{bmatrix}3&8\\32&3\end{bmatrix}$, $\begin{bmatrix}7&2\\34&25\end{bmatrix}$, $\begin{bmatrix}11&38\\32&7\end{bmatrix}$, $\begin{bmatrix}23&9\\30&29\end{bmatrix}$, $\begin{bmatrix}43&17\\28&37\end{bmatrix}$ |
| 48.72.4.bs.1 |
48.72.4.36 |
|
24O4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$2 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&31\\4&29\end{bmatrix}$, $\begin{bmatrix}19&33\\18&5\end{bmatrix}$, $\begin{bmatrix}21&22\\22&27\end{bmatrix}$, $\begin{bmatrix}23&28\\22&25\end{bmatrix}$, $\begin{bmatrix}25&26\\46&31\end{bmatrix}$, $\begin{bmatrix}33&22\\26&39\end{bmatrix}$ |
| 48.72.4.bs.2 |
48.72.4.34 |
|
24O4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$2 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}19&6\\12&7\end{bmatrix}$, $\begin{bmatrix}25&22\\20&13\end{bmatrix}$, $\begin{bmatrix}29&9\\24&43\end{bmatrix}$, $\begin{bmatrix}29&14\\44&25\end{bmatrix}$, $\begin{bmatrix}33&41\\46&39\end{bmatrix}$, $\begin{bmatrix}41&23\\22&23\end{bmatrix}$ |
| 48.72.4.cb.1 |
48.72.4.45 |
|
48H4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$2 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&47\\22&11\end{bmatrix}$, $\begin{bmatrix}19&40\\20&31\end{bmatrix}$, $\begin{bmatrix}19&43\\20&37\end{bmatrix}$, $\begin{bmatrix}27&46\\44&15\end{bmatrix}$, $\begin{bmatrix}33&19\\28&15\end{bmatrix}$, $\begin{bmatrix}45&38\\14&3\end{bmatrix}$ |
| 48.72.4.cb.2 |
48.72.4.47 |
|
48H4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$2 \le \gamma \le 4$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&8\\14&35\end{bmatrix}$, $\begin{bmatrix}5&10\\2&47\end{bmatrix}$, $\begin{bmatrix}13&9\\12&35\end{bmatrix}$, $\begin{bmatrix}29&22\\14&35\end{bmatrix}$, $\begin{bmatrix}35&16\\2&41\end{bmatrix}$, $\begin{bmatrix}45&14\\34&15\end{bmatrix}$ |
| 48.72.4.cd.1 |
48.72.4.19 |
|
48E4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$3$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&12\\6&29\end{bmatrix}$, $\begin{bmatrix}11&22\\16&19\end{bmatrix}$, $\begin{bmatrix}29&20\\20&1\end{bmatrix}$, $\begin{bmatrix}33&29\\10&27\end{bmatrix}$, $\begin{bmatrix}41&47\\16&47\end{bmatrix}$, $\begin{bmatrix}47&41\\44&1\end{bmatrix}$ |
| 48.72.4.cd.2 |
48.72.4.17 |
|
48E4 |
|
|
|
$48$ |
$72$ |
$4$ |
$4$ |
$3$ |
$3$ |
$1$ |
✓ |
$2^{30}\cdot3^{6}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}5&8\\28&41\end{bmatrix}$, $\begin{bmatrix}5&37\\28&43\end{bmatrix}$, $\begin{bmatrix}9&37\\26&3\end{bmatrix}$, $\begin{bmatrix}23&26\\38&37\end{bmatrix}$, $\begin{bmatrix}35&41\\38&13\end{bmatrix}$, $\begin{bmatrix}45&22\\40&45\end{bmatrix}$ |
| 50.100.4.b.1 |
50.100.4.2 |
|
50E4 |
|
|
|
$50$ |
$100$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$2$ |
$0$ |
✓ |
$2^{4}\cdot5^{16}$ |
|
✓ |
✓ |
$2^{2}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}6&39\\19&48\end{bmatrix}$, $\begin{bmatrix}38&3\\31&17\end{bmatrix}$ |
| 60.60.4.cc.1 |
60.60.4.33 |
|
15B4 |
|
|
|
$60$ |
$60$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{12}\cdot3^{8}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}34&49\\43&11\end{bmatrix}$, $\begin{bmatrix}36&43\\55&39\end{bmatrix}$, $\begin{bmatrix}37&34\\29&19\end{bmatrix}$, $\begin{bmatrix}41&13\\35&14\end{bmatrix}$, $\begin{bmatrix}59&56\\1&41\end{bmatrix}$ |
| 60.60.4.cd.1 |
60.60.4.35 |
|
15B4 |
|
|
|
$60$ |
$60$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{12}\cdot3^{8}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}25&1\\11&58\end{bmatrix}$, $\begin{bmatrix}32&19\\49&19\end{bmatrix}$, $\begin{bmatrix}37&43\\38&1\end{bmatrix}$, $\begin{bmatrix}44&9\\3&1\end{bmatrix}$, $\begin{bmatrix}55&57\\42&1\end{bmatrix}$ |
| 60.60.4.cq.1 |
60.60.4.13 |
|
60A4 |
|
|
|
$60$ |
$60$ |
$4$ |
$4$ |
$2 \le \gamma \le 4$ |
$1$ |
$1$ |
✓ |
$2^{12}\cdot3^{6}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&32\\7&55\end{bmatrix}$, $\begin{bmatrix}13&57\\39&52\end{bmatrix}$, $\begin{bmatrix}29&29\\59&16\end{bmatrix}$, $\begin{bmatrix}35&46\\58&13\end{bmatrix}$, $\begin{bmatrix}49&30\\42&11\end{bmatrix}$ |
| 60.90.4.i.1 |
60.90.4.11 |
|
15D4 |
|
|
|
$60$ |
$90$ |
$4$ |
$4$ |
$3$ |
$6$ |
$0$ |
✓ |
$2^{12}\cdot3^{8}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}3&50\\25&57\end{bmatrix}$, $\begin{bmatrix}6&5\\5&3\end{bmatrix}$, $\begin{bmatrix}10&57\\9&50\end{bmatrix}$, $\begin{bmatrix}17&40\\5&53\end{bmatrix}$, $\begin{bmatrix}24&35\\25&42\end{bmatrix}$ |
| 60.90.4.j.1 |
60.90.4.16 |
|
15D4 |
|
|
|
$60$ |
$90$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{8}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{2}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&51\\3&20\end{bmatrix}$, $\begin{bmatrix}10&41\\43&10\end{bmatrix}$, $\begin{bmatrix}16&55\\25&8\end{bmatrix}$, $\begin{bmatrix}22&45\\45&44\end{bmatrix}$, $\begin{bmatrix}56&25\\5&2\end{bmatrix}$ |
| 60.90.4.k.1 |
60.90.4.22 |
|
15C4 |
|
|
|
$60$ |
$90$ |
$4$ |
$4$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
✓ |
$2^{12}\cdot3^{8}\cdot5^{7}$ |
|
✓ |
✓ |
$1^{4}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}21&40\\40&39\end{bmatrix}$, $\begin{bmatrix}22&45\\15&46\end{bmatrix}$, $\begin{bmatrix}29&25\\10&1\end{bmatrix}$, $\begin{bmatrix}39&40\\25&9\end{bmatrix}$, $\begin{bmatrix}45&17\\17&0\end{bmatrix}$ |
| 24.72.5.bt.1 |
24.72.5.325 |
|
24F5 |
|
|
|
$24$ |
$72$ |
$5$ |
$4$ |
$4$ |
$4$ |
$0$ |
|
$2^{28}\cdot3^{10}$ |
|
|
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&8\\8&15\end{bmatrix}$, $\begin{bmatrix}13&8\\4&19\end{bmatrix}$, $\begin{bmatrix}13&13\\10&11\end{bmatrix}$, $\begin{bmatrix}17&3\\18&17\end{bmatrix}$ |
| 30.60.5.q.1 |
30.60.5.18 |
|
30B5 |
|
|
|
$30$ |
$60$ |
$5$ |
$4$ |
$4$ |
$2$ |
$0$ |
|
$2^{6}\cdot3^{10}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&13\\28&27\end{bmatrix}$, $\begin{bmatrix}13&29\\26&17\end{bmatrix}$, $\begin{bmatrix}22&27\\3&2\end{bmatrix}$ |
| 30.120.5.bm.1 |
30.120.5.27 |
|
30Q5 |
|
|
|
$30$ |
$120$ |
$5$ |
$4$ |
$4$ |
$4$ |
$0$ |
|
$2^{6}\cdot3^{9}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&23\\13&23\end{bmatrix}$, $\begin{bmatrix}25&17\\13&10\end{bmatrix}$, $\begin{bmatrix}29&22\\25&1\end{bmatrix}$ |
| 32.128.5.b.1 |
32.128.5.1 |
X718 |
16K5 |
|
|
|
$32$ |
$128$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
|
$2^{45}$ |
|
✓ |
✓ |
$1\cdot4$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}19&8\\13&29\end{bmatrix}$, $\begin{bmatrix}21&1\\9&20\end{bmatrix}$ |
| 36.144.5.r.1 |
36.144.5.7 |
|
36M5 |
|
|
|
$36$ |
$144$ |
$5$ |
$4$ |
$4$ |
$4$ |
$0$ |
✓ |
$2^{20}\cdot3^{17}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}0&25\\11&0\end{bmatrix}$, $\begin{bmatrix}1&33\\21&8\end{bmatrix}$, $\begin{bmatrix}35&9\\9&34\end{bmatrix}$ |
| 40.80.5.a.1 |
40.80.5.1 |
|
20A5 |
|
|
|
$40$ |
$80$ |
$5$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{26}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&13\\27&34\end{bmatrix}$, $\begin{bmatrix}8&5\\37&12\end{bmatrix}$, $\begin{bmatrix}21&17\\3&14\end{bmatrix}$, $\begin{bmatrix}38&23\\25&2\end{bmatrix}$ |
| 40.80.5.d.1 |
40.80.5.5 |
|
20A5 |
|
|
|
$40$ |
$80$ |
$5$ |
$4$ |
$3 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{26}\cdot5^{8}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}14&11\\39&18\end{bmatrix}$, $\begin{bmatrix}31&38\\2&9\end{bmatrix}$, $\begin{bmatrix}37&38\\22&19\end{bmatrix}$, $\begin{bmatrix}39&31\\34&33\end{bmatrix}$ |
| 40.80.5.h.1 |
40.80.5.8 |
|
20B5 |
|
|
|
$40$ |
$80$ |
$5$ |
$4$ |
$4$ |
$4$ |
$0$ |
|
$2^{26}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}14&29\\35&26\end{bmatrix}$, $\begin{bmatrix}15&21\\11&30\end{bmatrix}$, $\begin{bmatrix}21&23\\37&38\end{bmatrix}$, $\begin{bmatrix}32&15\\3&28\end{bmatrix}$ |
| 40.120.5.ba.1 |
40.120.5.111 |
|
20E5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
✓ |
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}13&35\\2&7\end{bmatrix}$, $\begin{bmatrix}13&37\\4&7\end{bmatrix}$, $\begin{bmatrix}17&21\\4&21\end{bmatrix}$, $\begin{bmatrix}33&36\\8&7\end{bmatrix}$ |
| 40.120.5.bc.1 |
40.120.5.148 |
|
20E5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&12\\16&39\end{bmatrix}$, $\begin{bmatrix}7&23\\26&23\end{bmatrix}$, $\begin{bmatrix}7&24\\36&23\end{bmatrix}$, $\begin{bmatrix}13&24\\6&7\end{bmatrix}$ |
| 40.120.5.dk.1 |
40.120.5.143 |
|
10B5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{9}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&4\\36&3\end{bmatrix}$, $\begin{bmatrix}7&13\\6&23\end{bmatrix}$, $\begin{bmatrix}7&18\\16&33\end{bmatrix}$, $\begin{bmatrix}37&21\\24&21\end{bmatrix}$ |
| 40.120.5.ec.1 |
40.120.5.146 |
|
20E5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{9}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&27\\26&9\end{bmatrix}$, $\begin{bmatrix}7&5\\18&23\end{bmatrix}$, $\begin{bmatrix}15&19\\26&21\end{bmatrix}$, $\begin{bmatrix}37&5\\28&3\end{bmatrix}$ |
| 40.120.5.eg.1 |
40.120.5.119 |
|
10B5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{9}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&20\\12&17\end{bmatrix}$, $\begin{bmatrix}9&2\\38&17\end{bmatrix}$, $\begin{bmatrix}11&20\\30&11\end{bmatrix}$, $\begin{bmatrix}33&33\\12&35\end{bmatrix}$ |
| 40.120.5.fb.1 |
40.120.5.113 |
|
20E5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{9}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&18\\18&5\end{bmatrix}$, $\begin{bmatrix}7&8\\36&33\end{bmatrix}$, $\begin{bmatrix}27&34\\36&23\end{bmatrix}$, $\begin{bmatrix}31&15\\14&9\end{bmatrix}$ |
| 40.120.5.hf.1 |
40.120.5.124 |
|
20F5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
|
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}11&1\\4&5\end{bmatrix}$, $\begin{bmatrix}13&39\\6&7\end{bmatrix}$, $\begin{bmatrix}17&17\\30&23\end{bmatrix}$, $\begin{bmatrix}23&7\\38&31\end{bmatrix}$ |
| 40.120.5.hh.1 |
40.120.5.109 |
|
20F5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
|
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&1\\4&33\end{bmatrix}$, $\begin{bmatrix}13&11\\34&17\end{bmatrix}$, $\begin{bmatrix}19&36\\34&33\end{bmatrix}$, $\begin{bmatrix}25&29\\4&15\end{bmatrix}$ |
| 40.120.5.o.1 |
40.120.5.117 |
|
10B5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
✓ |
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
|
$\begin{bmatrix}7&31\\14&33\end{bmatrix}$, $\begin{bmatrix}37&24\\26&13\end{bmatrix}$, $\begin{bmatrix}37&32\\38&5\end{bmatrix}$, $\begin{bmatrix}39&11\\4&33\end{bmatrix}$ |
| 40.120.5.w.1 |
40.120.5.141 |
|
10B5 |
|
|
|
$40$ |
$120$ |
$5$ |
$4$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot5^{10}$ |
|
✓ |
✓ |
$1^{5}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&35\\0&29\end{bmatrix}$, $\begin{bmatrix}19&31\\24&23\end{bmatrix}$, $\begin{bmatrix}23&10\\22&37\end{bmatrix}$, $\begin{bmatrix}25&1\\34&39\end{bmatrix}$ |
| 42.84.5.d.1 |
42.84.5.2 |
|
14B5 |
|
|
|
$42$ |
$84$ |
$5$ |
$4$ |
$4$ |
$6$ |
$0$ |
✓ |
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}11&23\\1&24\end{bmatrix}$, $\begin{bmatrix}37&19\\14&19\end{bmatrix}$, $\begin{bmatrix}41&1\\36&19\end{bmatrix}$ |
| 42.84.5.e.1 |
42.84.5.6 |
|
14B5 |
|
|
|
$42$ |
$84$ |
$5$ |
$4$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&9\\29&31\end{bmatrix}$, $\begin{bmatrix}7&29\\8&27\end{bmatrix}$, $\begin{bmatrix}9&4\\32&5\end{bmatrix}$ |
| 42.84.5.l.1 |
42.84.5.8 |
|
14B5 |
|
|
|
$42$ |
$84$ |
$5$ |
$4$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}25&11\\20&3\end{bmatrix}$, $\begin{bmatrix}40&41\\31&30\end{bmatrix}$ |
| 42.112.5.d.1 |
42.112.5.4 |
|
14E5 |
|
|
|
$42$ |
$112$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
|
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
|
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}31&8\\29&15\end{bmatrix}$, $\begin{bmatrix}34&21\\23&8\end{bmatrix}$, $\begin{bmatrix}41&23\\21&8\end{bmatrix}$ |
| 42.112.5.e.1 |
42.112.5.8 |
|
14E5 |
|
|
|
$42$ |
$112$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
✓ |
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
|
$\begin{bmatrix}7&10\\3&29\end{bmatrix}$, $\begin{bmatrix}23&8\\37&5\end{bmatrix}$, $\begin{bmatrix}31&11\\11&32\end{bmatrix}$ |
| 42.112.5.l.1 |
42.112.5.6 |
|
14E5 |
|
|
|
$42$ |
$112$ |
$5$ |
$4$ |
$4$ |
$8$ |
$0$ |
|
$2^{8}\cdot3^{8}\cdot7^{10}$ |
|
✓ |
✓ |
$1^{3}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&19\\33&40\end{bmatrix}$, $\begin{bmatrix}24&19\\31&18\end{bmatrix}$, $\begin{bmatrix}32&31\\3&38\end{bmatrix}$ |
