| 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 |
| 60.120.3-10.a.1.1 |
60.120.3.7 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}1&58\\50&19\end{bmatrix}$, $\begin{bmatrix}11&16\\46&39\end{bmatrix}$, $\begin{bmatrix}11&20\\48&19\end{bmatrix}$, $\begin{bmatrix}27&2\\4&43\end{bmatrix}$, $\begin{bmatrix}35&16\\56&23\end{bmatrix}$, $\begin{bmatrix}47&46\\0&13\end{bmatrix}$ |
| 60.120.3-10.a.1.2 |
60.120.3.5 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}3&44\\44&35\end{bmatrix}$, $\begin{bmatrix}7&8\\18&1\end{bmatrix}$, $\begin{bmatrix}11&40\\18&59\end{bmatrix}$, $\begin{bmatrix}11&54\\24&19\end{bmatrix}$, $\begin{bmatrix}15&38\\58&59\end{bmatrix}$, $\begin{bmatrix}17&0\\36&53\end{bmatrix}$ |
| 60.120.3-10.a.1.3 |
60.120.3.3 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}11&36\\32&49\end{bmatrix}$, $\begin{bmatrix}25&18\\22&55\end{bmatrix}$, $\begin{bmatrix}31&50\\8&59\end{bmatrix}$, $\begin{bmatrix}41&16\\52&19\end{bmatrix}$, $\begin{bmatrix}45&32\\58&55\end{bmatrix}$, $\begin{bmatrix}53&44\\44&55\end{bmatrix}$ |
| 60.120.3-10.a.1.4 |
60.120.3.4 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}11&28\\58&55\end{bmatrix}$, $\begin{bmatrix}21&4\\44&23\end{bmatrix}$, $\begin{bmatrix}23&10\\4&7\end{bmatrix}$, $\begin{bmatrix}33&28\\16&57\end{bmatrix}$, $\begin{bmatrix}47&2\\54&43\end{bmatrix}$, $\begin{bmatrix}49&10\\42&31\end{bmatrix}$ |
| 60.120.3-10.a.1.5 |
60.120.3.10 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}1&44\\54&29\end{bmatrix}$, $\begin{bmatrix}17&40\\26&3\end{bmatrix}$, $\begin{bmatrix}27&56\\46&5\end{bmatrix}$, $\begin{bmatrix}31&32\\16&19\end{bmatrix}$, $\begin{bmatrix}35&46\\26&23\end{bmatrix}$, $\begin{bmatrix}51&40\\40&31\end{bmatrix}$ |
| 60.120.3-10.a.1.6 |
60.120.3.9 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}7&42\\12&13\end{bmatrix}$, $\begin{bmatrix}23&10\\20&3\end{bmatrix}$, $\begin{bmatrix}33&38\\58&57\end{bmatrix}$, $\begin{bmatrix}37&6\\36&35\end{bmatrix}$, $\begin{bmatrix}49&54\\54&31\end{bmatrix}$, $\begin{bmatrix}51&46\\52&29\end{bmatrix}$ |
| 60.120.3-10.a.1.7 |
60.120.3.8 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}7&36\\6&25\end{bmatrix}$, $\begin{bmatrix}17&30\\10&17\end{bmatrix}$, $\begin{bmatrix}23&36\\8&17\end{bmatrix}$, $\begin{bmatrix}25&52\\48&25\end{bmatrix}$, $\begin{bmatrix}27&40\\40&27\end{bmatrix}$, $\begin{bmatrix}53&46\\18&37\end{bmatrix}$ |
| 60.120.3-10.a.1.8 |
60.120.3.6 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}1&54\\34&49\end{bmatrix}$, $\begin{bmatrix}7&16\\46&35\end{bmatrix}$, $\begin{bmatrix}11&58\\38&35\end{bmatrix}$, $\begin{bmatrix}13&34\\30&37\end{bmatrix}$, $\begin{bmatrix}21&16\\46&49\end{bmatrix}$, $\begin{bmatrix}49&8\\58&43\end{bmatrix}$ |
| 60.120.3-15.a.1.1 |
60.120.3.35 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}13&45\\30&7\end{bmatrix}$, $\begin{bmatrix}25&46\\3&35\end{bmatrix}$, $\begin{bmatrix}29&40\\15&1\end{bmatrix}$, $\begin{bmatrix}35&3\\12&5\end{bmatrix}$, $\begin{bmatrix}35&27\\24&25\end{bmatrix}$ |
| 60.120.3-15.a.1.2 |
60.120.3.36 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}2&35\\15&8\end{bmatrix}$, $\begin{bmatrix}17&35\\15&34\end{bmatrix}$, $\begin{bmatrix}37&40\\30&19\end{bmatrix}$, $\begin{bmatrix}55&56\\51&35\end{bmatrix}$, $\begin{bmatrix}59&10\\30&47\end{bmatrix}$ |
| 60.120.3-15.a.1.3 |
60.120.3.29 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}10&39\\51&25\end{bmatrix}$, $\begin{bmatrix}29&10\\30&23\end{bmatrix}$, $\begin{bmatrix}35&36\\3&25\end{bmatrix}$, $\begin{bmatrix}50&27\\3&40\end{bmatrix}$, $\begin{bmatrix}55&23\\36&55\end{bmatrix}$ |
| 60.120.3-15.a.1.4 |
60.120.3.30 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}2&35\\15&8\end{bmatrix}$, $\begin{bmatrix}5&28\\27&35\end{bmatrix}$, $\begin{bmatrix}5&58\\12&25\end{bmatrix}$, $\begin{bmatrix}25&14\\48&35\end{bmatrix}$, $\begin{bmatrix}25&34\\12&25\end{bmatrix}$ |
| 60.120.3-15.a.1.5 |
60.120.3.23 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}10&49\\51&25\end{bmatrix}$, $\begin{bmatrix}20&51\\39&55\end{bmatrix}$, $\begin{bmatrix}25&34\\42&5\end{bmatrix}$, $\begin{bmatrix}50&37\\21&40\end{bmatrix}$, $\begin{bmatrix}55&49\\57&40\end{bmatrix}$ |
| 60.120.3-15.a.1.6 |
60.120.3.24 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}5&58\\6&25\end{bmatrix}$, $\begin{bmatrix}10&57\\3&55\end{bmatrix}$, $\begin{bmatrix}23&40\\45&37\end{bmatrix}$, $\begin{bmatrix}35&51\\18&25\end{bmatrix}$, $\begin{bmatrix}40&29\\21&35\end{bmatrix}$ |
| 60.120.3-15.a.1.7 |
60.120.3.22 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}5&19\\9&20\end{bmatrix}$, $\begin{bmatrix}10&23\\3&10\end{bmatrix}$, $\begin{bmatrix}35&16\\57&25\end{bmatrix}$, $\begin{bmatrix}55&28\\39&55\end{bmatrix}$, $\begin{bmatrix}55&41\\42&5\end{bmatrix}$ |
| 60.120.3-15.a.1.8 |
60.120.3.21 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}1&5\\30&41\end{bmatrix}$, $\begin{bmatrix}11&15\\45&16\end{bmatrix}$, $\begin{bmatrix}40&33\\39&10\end{bmatrix}$, $\begin{bmatrix}41&20\\0&53\end{bmatrix}$, $\begin{bmatrix}53&35\\15&16\end{bmatrix}$ |
| 60.120.3-15.a.1.9 |
60.120.3.33 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}1&40\\15&47\end{bmatrix}$, $\begin{bmatrix}5&13\\12&55\end{bmatrix}$, $\begin{bmatrix}29&50\\45&49\end{bmatrix}$, $\begin{bmatrix}53&25\\30&41\end{bmatrix}$, $\begin{bmatrix}55&36\\39&35\end{bmatrix}$ |
| 60.120.3-15.a.1.10 |
60.120.3.34 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}2&45\\15&22\end{bmatrix}$, $\begin{bmatrix}5&6\\12&25\end{bmatrix}$, $\begin{bmatrix}25&37\\48&55\end{bmatrix}$, $\begin{bmatrix}31&30\\45&11\end{bmatrix}$, $\begin{bmatrix}55&56\\3&35\end{bmatrix}$ |
| 60.120.3-15.a.1.11 |
60.120.3.32 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}5&51\\57&50\end{bmatrix}$, $\begin{bmatrix}25&13\\51&40\end{bmatrix}$, $\begin{bmatrix}35&58\\12&5\end{bmatrix}$, $\begin{bmatrix}46&15\\15&34\end{bmatrix}$, $\begin{bmatrix}55&13\\27&20\end{bmatrix}$ |
| 60.120.3-15.a.1.12 |
60.120.3.31 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}7&20\\0&53\end{bmatrix}$, $\begin{bmatrix}14&35\\15&19\end{bmatrix}$, $\begin{bmatrix}35&43\\9&50\end{bmatrix}$, $\begin{bmatrix}37&10\\45&59\end{bmatrix}$, $\begin{bmatrix}44&15\\15&53\end{bmatrix}$ |
| 60.120.3-15.a.1.13 |
60.120.3.25 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}25&42\\48&55\end{bmatrix}$, $\begin{bmatrix}26&5\\15&29\end{bmatrix}$, $\begin{bmatrix}49&50\\45&1\end{bmatrix}$, $\begin{bmatrix}50&21\\3&55\end{bmatrix}$, $\begin{bmatrix}50&57\\3&40\end{bmatrix}$ |
| 60.120.3-15.a.1.14 |
60.120.3.26 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}35&1\\54&35\end{bmatrix}$, $\begin{bmatrix}35&57\\39&40\end{bmatrix}$, $\begin{bmatrix}40&31\\27&25\end{bmatrix}$, $\begin{bmatrix}44&45\\15&56\end{bmatrix}$, $\begin{bmatrix}59&45\\0&7\end{bmatrix}$ |
| 60.120.3-15.a.1.15 |
60.120.3.28 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}25&24\\6&55\end{bmatrix}$, $\begin{bmatrix}25&56\\12&5\end{bmatrix}$, $\begin{bmatrix}32&25\\15&52\end{bmatrix}$, $\begin{bmatrix}55&24\\48&55\end{bmatrix}$, $\begin{bmatrix}59&5\\45&44\end{bmatrix}$ |
| 60.120.3-15.a.1.16 |
60.120.3.27 |
|
15A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3$ |
$6$ |
$2$ |
✓ |
$3^{3}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$2$ |
|
$\begin{bmatrix}7&30\\30&11\end{bmatrix}$, $\begin{bmatrix}25&11\\33&40\end{bmatrix}$, $\begin{bmatrix}26&5\\15&52\end{bmatrix}$, $\begin{bmatrix}29&35\\0&31\end{bmatrix}$, $\begin{bmatrix}53&40\\0&31\end{bmatrix}$ |
| 60.120.3-20.a.1.1 |
60.120.3.77 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}17&23\\6&13\end{bmatrix}$, $\begin{bmatrix}33&8\\46&49\end{bmatrix}$, $\begin{bmatrix}39&4\\28&27\end{bmatrix}$, $\begin{bmatrix}43&39\\18&7\end{bmatrix}$, $\begin{bmatrix}49&5\\0&59\end{bmatrix}$ |
| 60.120.3-20.a.1.2 |
60.120.3.76 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}1&43\\26&9\end{bmatrix}$, $\begin{bmatrix}11&52\\8&59\end{bmatrix}$, $\begin{bmatrix}25&11\\42&37\end{bmatrix}$, $\begin{bmatrix}29&49\\28&7\end{bmatrix}$, $\begin{bmatrix}31&11\\0&49\end{bmatrix}$ |
| 60.120.3-20.a.1.3 |
60.120.3.19 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}17&34\\6&13\end{bmatrix}$, $\begin{bmatrix}23&16\\22&15\end{bmatrix}$, $\begin{bmatrix}23&31\\24&17\end{bmatrix}$, $\begin{bmatrix}51&28\\16&39\end{bmatrix}$, $\begin{bmatrix}59&24\\30&31\end{bmatrix}$ |
| 60.120.3-20.a.1.4 |
60.120.3.75 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}11&30\\30&11\end{bmatrix}$, $\begin{bmatrix}19&8\\52&51\end{bmatrix}$, $\begin{bmatrix}23&8\\16&59\end{bmatrix}$, $\begin{bmatrix}41&43\\36&7\end{bmatrix}$, $\begin{bmatrix}41&50\\2&49\end{bmatrix}$ |
| 60.120.3-20.a.1.5 |
60.120.3.80 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}23&27\\24&17\end{bmatrix}$, $\begin{bmatrix}25&52\\54&49\end{bmatrix}$, $\begin{bmatrix}29&56\\16&21\end{bmatrix}$, $\begin{bmatrix}39&44\\58&47\end{bmatrix}$, $\begin{bmatrix}45&22\\16&25\end{bmatrix}$ |
| 60.120.3-20.a.1.6 |
60.120.3.78 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}15&41\\52&57\end{bmatrix}$, $\begin{bmatrix}23&48\\26&59\end{bmatrix}$, $\begin{bmatrix}35&38\\44&15\end{bmatrix}$, $\begin{bmatrix}53&52\\42&17\end{bmatrix}$, $\begin{bmatrix}57&26\\22&53\end{bmatrix}$ |
| 60.120.3-20.a.1.7 |
60.120.3.79 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}37&35\\30&37\end{bmatrix}$, $\begin{bmatrix}39&20\\10&59\end{bmatrix}$, $\begin{bmatrix}39&55\\8&41\end{bmatrix}$, $\begin{bmatrix}41&32\\28&29\end{bmatrix}$, $\begin{bmatrix}55&42\\4&19\end{bmatrix}$ |
| 60.120.3-20.a.1.8 |
60.120.3.20 |
|
10A3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{9}\cdot5^{6}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}1&20\\42&29\end{bmatrix}$, $\begin{bmatrix}31&28\\16&27\end{bmatrix}$, $\begin{bmatrix}37&8\\18&53\end{bmatrix}$, $\begin{bmatrix}39&44\\58&7\end{bmatrix}$, $\begin{bmatrix}59&9\\10&11\end{bmatrix}$ |
| 60.120.3-30.a.1.1 |
60.120.3.46 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}0&29\\59&15\end{bmatrix}$, $\begin{bmatrix}0&49\\43&35\end{bmatrix}$, $\begin{bmatrix}59&40\\50&9\end{bmatrix}$ |
| 60.120.3-30.a.1.2 |
60.120.3.38 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}15&4\\22&55\end{bmatrix}$, $\begin{bmatrix}49&45\\55&46\end{bmatrix}$, $\begin{bmatrix}53&50\\20&1\end{bmatrix}$ |
| 60.120.3-30.a.1.3 |
60.120.3.42 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}14&5\\45&53\end{bmatrix}$, $\begin{bmatrix}45&26\\32&45\end{bmatrix}$, $\begin{bmatrix}49&30\\10&31\end{bmatrix}$ |
| 60.120.3-30.a.1.4 |
60.120.3.50 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}4&5\\15&13\end{bmatrix}$, $\begin{bmatrix}35&33\\43&40\end{bmatrix}$, $\begin{bmatrix}55&56\\54&5\end{bmatrix}$ |
| 60.120.3.a.1 |
60.120.3.2 |
|
10D3 |
|
|
|
$60$ |
$120$ |
$3$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{9}\cdot3^{4}\cdot5^{6}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&0\\3&29\end{bmatrix}$, $\begin{bmatrix}19&54\\4&41\end{bmatrix}$, $\begin{bmatrix}23&31\\21&56\end{bmatrix}$ |
| 60.120.3-60.a.1.1 |
60.120.3.40 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}11&15\\35&28\end{bmatrix}$, $\begin{bmatrix}25&13\\9&50\end{bmatrix}$, $\begin{bmatrix}25&38\\12&5\end{bmatrix}$ |
| 60.120.3-60.a.1.2 |
60.120.3.43 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}20&1\\49&25\end{bmatrix}$, $\begin{bmatrix}40&1\\33&25\end{bmatrix}$, $\begin{bmatrix}55&57\\13&50\end{bmatrix}$ |
| 60.120.3-60.a.1.3 |
60.120.3.48 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}29&25\\55&18\end{bmatrix}$, $\begin{bmatrix}49&15\\5&26\end{bmatrix}$, $\begin{bmatrix}55&32\\34&45\end{bmatrix}$ |
| 60.120.3-60.a.1.4 |
60.120.3.51 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}3&25\\55&58\end{bmatrix}$, $\begin{bmatrix}11&35\\15&2\end{bmatrix}$, $\begin{bmatrix}20&27\\23&35\end{bmatrix}$ |
| 60.120.3-10.b.1.1 |
60.120.3.11 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{6}\cdot5^{4}$ |
|
|
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}17&5\\45&58\end{bmatrix}$, $\begin{bmatrix}41&15\\35&8\end{bmatrix}$, $\begin{bmatrix}53&10\\20&33\end{bmatrix}$, $\begin{bmatrix}57&10\\20&3\end{bmatrix}$ |
| 60.120.3-10.b.1.2 |
60.120.3.12 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{6}\cdot5^{4}$ |
|
|
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}16&55\\15&17\end{bmatrix}$, $\begin{bmatrix}23&50\\10&47\end{bmatrix}$, $\begin{bmatrix}34&5\\55&19\end{bmatrix}$, $\begin{bmatrix}41&20\\50&33\end{bmatrix}$ |
| 60.120.3-10.b.1.3 |
60.120.3.13 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{6}\cdot5^{4}$ |
|
|
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}17&5\\45&38\end{bmatrix}$, $\begin{bmatrix}24&5\\5&43\end{bmatrix}$, $\begin{bmatrix}29&20\\30&17\end{bmatrix}$, $\begin{bmatrix}49&10\\30&7\end{bmatrix}$ |
| 60.120.3-30.b.1.1 |
60.120.3.45 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}11&50\\0&37\end{bmatrix}$, $\begin{bmatrix}15&13\\59&40\end{bmatrix}$, $\begin{bmatrix}17&40\\40&21\end{bmatrix}$ |
| 60.120.3-30.b.1.2 |
60.120.3.37 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}7&45\\5&52\end{bmatrix}$, $\begin{bmatrix}35&28\\26&15\end{bmatrix}$, $\begin{bmatrix}50&1\\9&55\end{bmatrix}$ |
| 60.120.3-30.b.1.3 |
60.120.3.49 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}5&14\\24&55\end{bmatrix}$, $\begin{bmatrix}31&35\\55&52\end{bmatrix}$, $\begin{bmatrix}57&25\\55&44\end{bmatrix}$ |
| 60.120.3-30.b.1.4 |
60.120.3.41 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$1$ |
$4$ |
$6$ |
$0$ |
|
$2^{6}\cdot3^{2}\cdot5^{5}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}10&23\\3&35\end{bmatrix}$, $\begin{bmatrix}25&43\\29&30\end{bmatrix}$, $\begin{bmatrix}35&42\\6&35\end{bmatrix}$ |
| 60.120.3.b.1 |
60.120.3.1 |
|
10D3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{9}\cdot3^{4}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}21&26\\26&29\end{bmatrix}$, $\begin{bmatrix}42&55\\1&48\end{bmatrix}$, $\begin{bmatrix}44&37\\37&15\end{bmatrix}$ |
| 60.120.3-60.b.1.1 |
60.120.3.63 |
|
10B3 |
|
|
|
$60$ |
$120$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{12}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}40&31\\33&35\end{bmatrix}$, $\begin{bmatrix}49&25\\0&7\end{bmatrix}$, $\begin{bmatrix}55&34\\13&15\end{bmatrix}$ |
