| 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 |
| 60.60.0.a.1 |
60.60.0.1 |
|
5H0 |
|
|
|
$60$ |
$60$ |
$0$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
? |
$\begin{bmatrix}13&0\\30&19\end{bmatrix}$, $\begin{bmatrix}16&25\\35&3\end{bmatrix}$, $\begin{bmatrix}39&35\\50&51\end{bmatrix}$, $\begin{bmatrix}49&35\\30&7\end{bmatrix}$ |
| 60.60.0.b.1 |
60.60.0.2 |
|
5H0 |
|
|
|
$60$ |
$60$ |
$0$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}18&59\\35&57\end{bmatrix}$, $\begin{bmatrix}21&53\\10&49\end{bmatrix}$, $\begin{bmatrix}41&1\\31&4\end{bmatrix}$, $\begin{bmatrix}56&27\\51&29\end{bmatrix}$ |
| 60.60.2-10.a.1.1 |
60.60.2.11 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}19&26\\6&1\end{bmatrix}$, $\begin{bmatrix}35&38\\24&25\end{bmatrix}$, $\begin{bmatrix}35&56\\6&5\end{bmatrix}$, $\begin{bmatrix}41&14\\46&11\end{bmatrix}$, $\begin{bmatrix}49&4\\34&21\end{bmatrix}$ |
| 60.60.2-10.a.1.2 |
60.60.2.13 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}3&46\\4&17\end{bmatrix}$, $\begin{bmatrix}5&28\\34&25\end{bmatrix}$, $\begin{bmatrix}7&4\\12&11\end{bmatrix}$, $\begin{bmatrix}13&28\\48&17\end{bmatrix}$, $\begin{bmatrix}35&58\\54&55\end{bmatrix}$ |
| 60.60.2-10.a.1.3 |
60.60.2.12 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}13&54\\48&41\end{bmatrix}$, $\begin{bmatrix}23&40\\40&37\end{bmatrix}$, $\begin{bmatrix}35&44\\54&25\end{bmatrix}$, $\begin{bmatrix}49&46\\56&51\end{bmatrix}$, $\begin{bmatrix}59&8\\14&7\end{bmatrix}$ |
| 60.60.2-10.a.1.4 |
60.60.2.14 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}7&58\\28&53\end{bmatrix}$, $\begin{bmatrix}49&2\\52&19\end{bmatrix}$, $\begin{bmatrix}53&18\\16&49\end{bmatrix}$, $\begin{bmatrix}57&4\\34&7\end{bmatrix}$, $\begin{bmatrix}59&6\\24&19\end{bmatrix}$ |
| 60.60.2-20.a.1.1 |
60.60.2.33 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{5}\cdot5^{4}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}1&2\\34&37\end{bmatrix}$, $\begin{bmatrix}9&8\\34&57\end{bmatrix}$, $\begin{bmatrix}35&58\\54&55\end{bmatrix}$, $\begin{bmatrix}35&59\\14&15\end{bmatrix}$ |
| 60.60.2-20.a.1.2 |
60.60.2.21 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{5}\cdot5^{4}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}29&0\\50&17\end{bmatrix}$, $\begin{bmatrix}53&1\\22&1\end{bmatrix}$, $\begin{bmatrix}53&26\\54&37\end{bmatrix}$, $\begin{bmatrix}57&16\\56&57\end{bmatrix}$ |
| 60.60.2-20.a.1.3 |
60.60.2.34 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{5}\cdot5^{4}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}7&17\\14&11\end{bmatrix}$, $\begin{bmatrix}13&3\\16&19\end{bmatrix}$, $\begin{bmatrix}47&49\\52&21\end{bmatrix}$, $\begin{bmatrix}59&20\\0&47\end{bmatrix}$ |
| 60.60.2-20.a.1.4 |
60.60.2.22 |
|
10B2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{5}\cdot5^{4}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}1&23\\4&3\end{bmatrix}$, $\begin{bmatrix}29&7\\8&51\end{bmatrix}$, $\begin{bmatrix}33&22\\2&17\end{bmatrix}$, $\begin{bmatrix}51&31\\46&39\end{bmatrix}$ |
| 60.60.2.a.1 |
60.60.2.8 |
|
10D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}17&15\\6&43\end{bmatrix}$, $\begin{bmatrix}25&51\\24&5\end{bmatrix}$, $\begin{bmatrix}27&49\\14&49\end{bmatrix}$, $\begin{bmatrix}43&53\\36&37\end{bmatrix}$, $\begin{bmatrix}55&18\\52&35\end{bmatrix}$ |
| 60.60.2-10.b.1.1 |
60.60.2.15 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}20&27\\51&25\end{bmatrix}$, $\begin{bmatrix}25&9\\59&40\end{bmatrix}$, $\begin{bmatrix}49&5\\15&58\end{bmatrix}$, $\begin{bmatrix}50&11\\27&5\end{bmatrix}$ |
| 60.60.2-10.b.1.2 |
60.60.2.17 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}14&45\\25&53\end{bmatrix}$, $\begin{bmatrix}17&5\\35&54\end{bmatrix}$, $\begin{bmatrix}25&27\\51&10\end{bmatrix}$, $\begin{bmatrix}51&25\\25&46\end{bmatrix}$ |
| 60.60.2-10.b.1.3 |
60.60.2.16 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}19&10\\10&33\end{bmatrix}$, $\begin{bmatrix}31&50\\50&21\end{bmatrix}$, $\begin{bmatrix}39&20\\10&53\end{bmatrix}$, $\begin{bmatrix}40&41\\3&35\end{bmatrix}$ |
| 60.60.2-10.b.1.4 |
60.60.2.18 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{4}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}9&40\\10&3\end{bmatrix}$, $\begin{bmatrix}25&22\\56&55\end{bmatrix}$, $\begin{bmatrix}38&5\\15&11\end{bmatrix}$, $\begin{bmatrix}55&49\\27&20\end{bmatrix}$ |
| 60.60.2.b.1 |
60.60.2.7 |
|
10D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&22\\56&9\end{bmatrix}$, $\begin{bmatrix}7&6\\20&13\end{bmatrix}$, $\begin{bmatrix}13&31\\36&31\end{bmatrix}$, $\begin{bmatrix}25&7\\2&1\end{bmatrix}$, $\begin{bmatrix}59&5\\42&11\end{bmatrix}$ |
| 60.60.2-20.c.1.1 |
60.60.2.32 |
|
20A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$3$ |
|
$\begin{bmatrix}9&1\\4&59\end{bmatrix}$, $\begin{bmatrix}15&13\\44&55\end{bmatrix}$, $\begin{bmatrix}25&37\\8&45\end{bmatrix}$, $\begin{bmatrix}59&50\\0&53\end{bmatrix}$ |
| 60.60.2-20.c.1.2 |
60.60.2.19 |
|
20A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$3$ |
|
$\begin{bmatrix}13&18\\36&19\end{bmatrix}$, $\begin{bmatrix}13&37\\48&13\end{bmatrix}$, $\begin{bmatrix}37&25\\40&17\end{bmatrix}$, $\begin{bmatrix}43&38\\48&17\end{bmatrix}$ |
| 60.60.2-20.c.1.3 |
60.60.2.31 |
|
20A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$3$ |
|
$\begin{bmatrix}1&19\\8&3\end{bmatrix}$, $\begin{bmatrix}19&58\\28&9\end{bmatrix}$, $\begin{bmatrix}41&18\\52&59\end{bmatrix}$, $\begin{bmatrix}51&29\\28&3\end{bmatrix}$ |
| 60.60.2-20.c.1.4 |
60.60.2.20 |
|
20A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$3$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
|
|
$1^{2}$ |
|
$3$ |
|
$\begin{bmatrix}13&16\\32&31\end{bmatrix}$, $\begin{bmatrix}23&35\\0&59\end{bmatrix}$, $\begin{bmatrix}29&28\\28&39\end{bmatrix}$, $\begin{bmatrix}57&47\\16&59\end{bmatrix}$ |
| 60.60.2.c.1 |
60.60.2.1 |
|
10C2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{8}\cdot3^{4}\cdot5^{4}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}11&35\\5&22\end{bmatrix}$, $\begin{bmatrix}11&40\\55&39\end{bmatrix}$, $\begin{bmatrix}33&55\\25&14\end{bmatrix}$, $\begin{bmatrix}59&55\\10&13\end{bmatrix}$ |
| 60.60.2-20.d.1.1 |
60.60.2.38 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}16&35\\35&18\end{bmatrix}$, $\begin{bmatrix}31&45\\30&19\end{bmatrix}$, $\begin{bmatrix}36&25\\25&14\end{bmatrix}$, $\begin{bmatrix}55&14\\37&55\end{bmatrix}$ |
| 60.60.2-20.d.1.2 |
60.60.2.37 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}3&10\\20&11\end{bmatrix}$, $\begin{bmatrix}35&43\\54&55\end{bmatrix}$, $\begin{bmatrix}45&19\\47&50\end{bmatrix}$, $\begin{bmatrix}55&37\\14&15\end{bmatrix}$ |
| 60.60.2-20.d.1.3 |
60.60.2.36 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}29&5\\50&13\end{bmatrix}$, $\begin{bmatrix}30&59\\19&50\end{bmatrix}$, $\begin{bmatrix}35&1\\1&10\end{bmatrix}$, $\begin{bmatrix}50&3\\19&40\end{bmatrix}$ |
| 60.60.2-20.d.1.4 |
60.60.2.35 |
|
10A2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}\cdot5^{3}$ |
|
✓ |
|
$1^{2}$ |
|
$2$ |
|
$\begin{bmatrix}9&25\\20&3\end{bmatrix}$, $\begin{bmatrix}51&5\\25&18\end{bmatrix}$, $\begin{bmatrix}54&35\\35&31\end{bmatrix}$, $\begin{bmatrix}55&6\\42&35\end{bmatrix}$ |
| 60.60.2.d.1 |
60.60.2.5 |
|
20F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}11&1\\32&9\end{bmatrix}$, $\begin{bmatrix}11&33\\28&5\end{bmatrix}$, $\begin{bmatrix}13&28\\6&17\end{bmatrix}$, $\begin{bmatrix}15&4\\34&17\end{bmatrix}$, $\begin{bmatrix}57&41\\20&43\end{bmatrix}$ |
| 60.60.2.e.1 |
60.60.2.3 |
|
20F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$6$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&59\\44&37\end{bmatrix}$, $\begin{bmatrix}37&56\\10&33\end{bmatrix}$, $\begin{bmatrix}41&35\\0&31\end{bmatrix}$, $\begin{bmatrix}49&21\\6&7\end{bmatrix}$, $\begin{bmatrix}57&5\\56&13\end{bmatrix}$ |
| 60.60.2.f.1 |
60.60.2.10 |
|
10E2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$6$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}7&39\\22&43\end{bmatrix}$, $\begin{bmatrix}29&13\\24&11\end{bmatrix}$, $\begin{bmatrix}31&58\\10&29\end{bmatrix}$, $\begin{bmatrix}45&58\\52&45\end{bmatrix}$, $\begin{bmatrix}49&54\\24&41\end{bmatrix}$ |
| 60.60.2.g.1 |
60.60.2.2 |
|
10C2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{4}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}2&57\\47&58\end{bmatrix}$, $\begin{bmatrix}3&28\\38&7\end{bmatrix}$, $\begin{bmatrix}9&25\\20&19\end{bmatrix}$, $\begin{bmatrix}47&36\\20&53\end{bmatrix}$ |
| 60.60.2.h.1 |
60.60.2.6 |
|
20F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&1\\38&7\end{bmatrix}$, $\begin{bmatrix}33&53\\56&17\end{bmatrix}$, $\begin{bmatrix}47&2\\34&3\end{bmatrix}$, $\begin{bmatrix}51&26\\26&49\end{bmatrix}$, $\begin{bmatrix}59&12\\42&55\end{bmatrix}$ |
| 60.60.2.i.1 |
60.60.2.4 |
|
20F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&3\\20&19\end{bmatrix}$, $\begin{bmatrix}1&28\\38&25\end{bmatrix}$, $\begin{bmatrix}13&40\\54&47\end{bmatrix}$, $\begin{bmatrix}23&25\\40&33\end{bmatrix}$, $\begin{bmatrix}43&43\\58&57\end{bmatrix}$ |
| 60.60.2.j.1 |
60.60.2.9 |
|
10E2 |
|
|
|
$60$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{5}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}11&28\\10&49\end{bmatrix}$, $\begin{bmatrix}35&51\\26&23\end{bmatrix}$, $\begin{bmatrix}39&13\\28&23\end{bmatrix}$, $\begin{bmatrix}43&53\\16&37\end{bmatrix}$, $\begin{bmatrix}53&46\\56&21\end{bmatrix}$ |
| 60.60.2.k.1 |
60.60.2.25 |
|
15D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{3}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&43\\52&25\end{bmatrix}$, $\begin{bmatrix}7&18\\48&43\end{bmatrix}$, $\begin{bmatrix}22&29\\19&34\end{bmatrix}$, $\begin{bmatrix}43&21\\6&11\end{bmatrix}$, $\begin{bmatrix}55&6\\51&53\end{bmatrix}$ |
| 60.60.2.l.1 |
60.60.2.23 |
|
15D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$2$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}5&19\\56&35\end{bmatrix}$, $\begin{bmatrix}19&20\\22&1\end{bmatrix}$, $\begin{bmatrix}27&58\\8&21\end{bmatrix}$, $\begin{bmatrix}34&51\\51&1\end{bmatrix}$, $\begin{bmatrix}39&23\\44&21\end{bmatrix}$ |
| 60.60.2.m.1 |
60.60.2.26 |
|
15D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{3}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}2&17\\59&58\end{bmatrix}$, $\begin{bmatrix}7&24\\42&53\end{bmatrix}$, $\begin{bmatrix}14&11\\1&26\end{bmatrix}$, $\begin{bmatrix}53&1\\41&56\end{bmatrix}$, $\begin{bmatrix}56&25\\5&11\end{bmatrix}$ |
| 60.60.2.n.1 |
60.60.2.24 |
|
15D2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}23&31\\31&16\end{bmatrix}$, $\begin{bmatrix}29&53\\4&11\end{bmatrix}$, $\begin{bmatrix}39&16\\56&21\end{bmatrix}$, $\begin{bmatrix}40&33\\33&29\end{bmatrix}$, $\begin{bmatrix}43&6\\33&17\end{bmatrix}$ |
| 60.60.2.o.1 |
60.60.2.30 |
|
30F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}35&2\\38&25\end{bmatrix}$, $\begin{bmatrix}41&29\\9&4\end{bmatrix}$, $\begin{bmatrix}48&49\\29&0\end{bmatrix}$, $\begin{bmatrix}55&39\\46&35\end{bmatrix}$, $\begin{bmatrix}55&49\\51&20\end{bmatrix}$ |
| 60.60.2.p.1 |
60.60.2.28 |
|
30F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$1$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}14&53\\49&41\end{bmatrix}$, $\begin{bmatrix}17&21\\0&53\end{bmatrix}$, $\begin{bmatrix}39&31\\16&27\end{bmatrix}$, $\begin{bmatrix}43&10\\14&37\end{bmatrix}$, $\begin{bmatrix}50&33\\33&14\end{bmatrix}$ |
| 60.60.2.q.1 |
60.60.2.29 |
|
30F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$2$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}13&48\\16&17\end{bmatrix}$, $\begin{bmatrix}21&34\\49&49\end{bmatrix}$, $\begin{bmatrix}27&10\\10&37\end{bmatrix}$, $\begin{bmatrix}31&13\\55&14\end{bmatrix}$, $\begin{bmatrix}59&1\\16&31\end{bmatrix}$ |
| 60.60.2.r.1 |
60.60.2.27 |
|
30F2 |
|
|
|
$60$ |
$60$ |
$2$ |
$2$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{4}\cdot3^{4}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
|
$\begin{bmatrix}4&55\\35&34\end{bmatrix}$, $\begin{bmatrix}11&41\\31&44\end{bmatrix}$, $\begin{bmatrix}23&32\\17&49\end{bmatrix}$, $\begin{bmatrix}35&21\\51&28\end{bmatrix}$, $\begin{bmatrix}43&14\\5&17\end{bmatrix}$ |
| 60.60.3-30.a.1.1 |
60.60.3.29 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}29&59\\49&26\end{bmatrix}$, $\begin{bmatrix}43&15\\45&16\end{bmatrix}$, $\begin{bmatrix}47&17\\13&2\end{bmatrix}$, $\begin{bmatrix}47&26\\8&1\end{bmatrix}$ |
| 60.60.3-30.a.1.2 |
60.60.3.66 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}25&32\\2&35\end{bmatrix}$, $\begin{bmatrix}27&35\\55&6\end{bmatrix}$, $\begin{bmatrix}28&9\\57&59\end{bmatrix}$, $\begin{bmatrix}49&53\\11&8\end{bmatrix}$ |
| 60.60.3-30.a.1.3 |
60.60.3.67 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}17&18\\6&11\end{bmatrix}$, $\begin{bmatrix}35&43\\19&10\end{bmatrix}$, $\begin{bmatrix}41&47\\31&8\end{bmatrix}$, $\begin{bmatrix}47&56\\46&17\end{bmatrix}$ |
| 60.60.3-30.a.1.4 |
60.60.3.27 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}1&31\\11&34\end{bmatrix}$, $\begin{bmatrix}42&31\\11&57\end{bmatrix}$, $\begin{bmatrix}49&42\\18&31\end{bmatrix}$, $\begin{bmatrix}53&43\\19&46\end{bmatrix}$ |
| 60.60.3-30.a.1.5 |
60.60.3.31 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}2&29\\49&47\end{bmatrix}$, $\begin{bmatrix}17&0\\30&49\end{bmatrix}$, $\begin{bmatrix}27&17\\59&6\end{bmatrix}$, $\begin{bmatrix}57&55\\55&36\end{bmatrix}$ |
| 60.60.3-30.a.1.6 |
60.60.3.47 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}27&56\\38&51\end{bmatrix}$, $\begin{bmatrix}35&27\\51&50\end{bmatrix}$, $\begin{bmatrix}45&47\\41&30\end{bmatrix}$, $\begin{bmatrix}53&53\\7&38\end{bmatrix}$ |
| 60.60.3-30.a.1.7 |
60.60.3.65 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}3&2\\38&33\end{bmatrix}$, $\begin{bmatrix}25&16\\28&35\end{bmatrix}$, $\begin{bmatrix}27&26\\34&33\end{bmatrix}$, $\begin{bmatrix}31&37\\19&2\end{bmatrix}$ |
| 60.60.3-30.a.1.8 |
60.60.3.30 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}9&26\\14&39\end{bmatrix}$, $\begin{bmatrix}21&5\\25&12\end{bmatrix}$, $\begin{bmatrix}26&19\\49&19\end{bmatrix}$, $\begin{bmatrix}46&31\\11&49\end{bmatrix}$ |
| 60.60.3.a.1 |
60.60.3.20 |
|
10B3 |
|
|
|
$60$ |
$60$ |
$3$ |
$0$ |
$4$ |
$6$ |
$0$ |
|
$2^{8}\cdot3^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{3}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}0&53\\13&55\end{bmatrix}$, $\begin{bmatrix}23&20\\40&41\end{bmatrix}$, $\begin{bmatrix}55&41\\1&0\end{bmatrix}$, $\begin{bmatrix}56&45\\35&23\end{bmatrix}$ |
| 60.60.3-60.a.1.1 |
60.60.3.70 |
|
30A3 |
|
|
|
$60$ |
$60$ |
$3$ |
$1$ |
$3$ |
$1$ |
$1$ |
✓ |
$2^{8}\cdot3^{6}\cdot5^{4}$ |
|
✓ |
|
$1^{3}$ |
|
$1$ |
|
$\begin{bmatrix}1&54\\48&49\end{bmatrix}$, $\begin{bmatrix}13&2\\55&49\end{bmatrix}$, $\begin{bmatrix}27&7\\40&33\end{bmatrix}$, $\begin{bmatrix}47&10\\37&19\end{bmatrix}$ |
