| 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 |
| 60.12.1-6.a.1.1 |
60.12.1.14 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}3&44\\58&33\end{bmatrix}$, $\begin{bmatrix}45&17\\23&58\end{bmatrix}$, $\begin{bmatrix}49&3\\5&56\end{bmatrix}$, $\begin{bmatrix}53&42\\24&59\end{bmatrix}$ |
| 60.12.1-6.a.1.2 |
60.12.1.12 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}7&38\\30&23\end{bmatrix}$, $\begin{bmatrix}11&6\\40&13\end{bmatrix}$, $\begin{bmatrix}25&4\\4&57\end{bmatrix}$, $\begin{bmatrix}52&31\\7&23\end{bmatrix}$ |
| 60.12.1-6.a.1.3 |
60.12.1.11 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}27&37\\17&24\end{bmatrix}$, $\begin{bmatrix}29&46\\0&13\end{bmatrix}$, $\begin{bmatrix}43&12\\18&13\end{bmatrix}$, $\begin{bmatrix}59&25\\45&52\end{bmatrix}$ |
| 60.12.1-6.a.1.4 |
60.12.1.13 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}8&9\\31&49\end{bmatrix}$, $\begin{bmatrix}8&23\\17&13\end{bmatrix}$, $\begin{bmatrix}27&40\\26&3\end{bmatrix}$, $\begin{bmatrix}43&32\\38&53\end{bmatrix}$ |
| 60.12.1-12.a.1.1 |
60.12.1.35 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}1&15\\6&49\end{bmatrix}$, $\begin{bmatrix}2&39\\3&35\end{bmatrix}$, $\begin{bmatrix}37&31\\7&50\end{bmatrix}$, $\begin{bmatrix}43&24\\33&17\end{bmatrix}$ |
| 60.12.1-12.a.1.2 |
60.12.1.36 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}2&29\\13&35\end{bmatrix}$, $\begin{bmatrix}13&49\\2&49\end{bmatrix}$, $\begin{bmatrix}17&28\\53&11\end{bmatrix}$, $\begin{bmatrix}26&7\\31&31\end{bmatrix}$ |
| 60.12.1-12.a.1.3 |
60.12.1.42 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}4&7\\31&32\end{bmatrix}$, $\begin{bmatrix}14&45\\9&2\end{bmatrix}$, $\begin{bmatrix}18&31\\47&15\end{bmatrix}$, $\begin{bmatrix}51&50\\20&3\end{bmatrix}$ |
| 60.12.1-12.a.1.4 |
60.12.1.39 |
|
6A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$1$ |
$1$ |
✓ |
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$2$ |
|
$\begin{bmatrix}7&51\\24&1\end{bmatrix}$, $\begin{bmatrix}12&47\\17&21\end{bmatrix}$, $\begin{bmatrix}19&12\\15&17\end{bmatrix}$, $\begin{bmatrix}19&53\\47&8\end{bmatrix}$ |
| 60.12.1.a.1 |
60.12.1.15 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}15&41\\53&52\end{bmatrix}$, $\begin{bmatrix}39&40\\8&3\end{bmatrix}$, $\begin{bmatrix}41&6\\0&47\end{bmatrix}$, $\begin{bmatrix}44&17\\11&31\end{bmatrix}$ |
| 60.12.1.b.1 |
60.12.1.38 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}23&58\\12&43\end{bmatrix}$, $\begin{bmatrix}47&35\\2&31\end{bmatrix}$, $\begin{bmatrix}49&12\\15&31\end{bmatrix}$, $\begin{bmatrix}57&8\\55&39\end{bmatrix}$ |
| 60.12.1.c.1 |
60.12.1.41 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}10&31\\7&18\end{bmatrix}$, $\begin{bmatrix}13&57\\38&5\end{bmatrix}$, $\begin{bmatrix}21&46\\35&21\end{bmatrix}$, $\begin{bmatrix}36&19\\43&50\end{bmatrix}$ |
| 60.12.1.d.1 |
60.12.1.16 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&32\\54&47\end{bmatrix}$, $\begin{bmatrix}13&24\\6&7\end{bmatrix}$, $\begin{bmatrix}36&17\\11&49\end{bmatrix}$, $\begin{bmatrix}53&46\\54&7\end{bmatrix}$ |
| 60.12.1.e.1 |
60.12.1.37 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&28\\46&5\end{bmatrix}$, $\begin{bmatrix}3&19\\28&53\end{bmatrix}$, $\begin{bmatrix}21&14\\55&33\end{bmatrix}$, $\begin{bmatrix}37&9\\12&31\end{bmatrix}$ |
| 60.12.1.f.1 |
60.12.1.40 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&47\\21&29\end{bmatrix}$, $\begin{bmatrix}7&58\\19&3\end{bmatrix}$, $\begin{bmatrix}18&41\\5&19\end{bmatrix}$, $\begin{bmatrix}28&29\\17&50\end{bmatrix}$ |
| 60.12.1.g.1 |
60.12.1.17 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&43\\43&20\end{bmatrix}$, $\begin{bmatrix}13&3\\9&58\end{bmatrix}$, $\begin{bmatrix}28&53\\51&20\end{bmatrix}$ |
| 60.12.1.h.1 |
60.12.1.44 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&11\\12&35\end{bmatrix}$, $\begin{bmatrix}29&26\\14&49\end{bmatrix}$, $\begin{bmatrix}39&31\\43&8\end{bmatrix}$ |
| 60.12.1.i.1 |
60.12.1.45 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}2&57\\57&26\end{bmatrix}$, $\begin{bmatrix}48&11\\47&43\end{bmatrix}$, $\begin{bmatrix}55&2\\51&5\end{bmatrix}$ |
| 60.12.1.j.1 |
60.12.1.5 |
|
10A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}11&50\\44&57\end{bmatrix}$, $\begin{bmatrix}37&45\\46&1\end{bmatrix}$, $\begin{bmatrix}44&55\\15&19\end{bmatrix}$, $\begin{bmatrix}47&45\\9&16\end{bmatrix}$ |
| 60.12.1.k.1 |
60.12.1.18 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}6&29\\19&15\end{bmatrix}$, $\begin{bmatrix}7&8\\50&41\end{bmatrix}$, $\begin{bmatrix}12&59\\53&22\end{bmatrix}$ |
| 60.12.1.l.1 |
60.12.1.43 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}10&51\\51&40\end{bmatrix}$, $\begin{bmatrix}21&26\\22&45\end{bmatrix}$, $\begin{bmatrix}53&5\\44&21\end{bmatrix}$ |
| 60.12.1.m.1 |
60.12.1.46 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&44\\56&27\end{bmatrix}$, $\begin{bmatrix}8&39\\55&19\end{bmatrix}$, $\begin{bmatrix}27&59\\34&15\end{bmatrix}$ |
| 60.12.1.n.1 |
60.12.1.6 |
|
10A1 |
|
|
|
$60$ |
$12$ |
$1$ |
$1$ |
$2$ |
$2$ |
$2$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}13&15\\44&1\end{bmatrix}$, $\begin{bmatrix}28&15\\29&13\end{bmatrix}$, $\begin{bmatrix}41&55\\15&22\end{bmatrix}$, $\begin{bmatrix}57&5\\59&22\end{bmatrix}$ |
| 60.12.1.o.1 |
60.12.1.33 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$0$ |
|
$\begin{bmatrix}1&32\\36&23\end{bmatrix}$, $\begin{bmatrix}11&36\\37&25\end{bmatrix}$, $\begin{bmatrix}40&13\\37&5\end{bmatrix}$ |
| 60.12.1.p.1 |
60.12.1.3 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&30\\48&43\end{bmatrix}$, $\begin{bmatrix}49&33\\30&49\end{bmatrix}$, $\begin{bmatrix}50&41\\41&27\end{bmatrix}$ |
| 60.12.1.q.1 |
60.12.1.32 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$0$ |
|
$\begin{bmatrix}5&23\\41&22\end{bmatrix}$, $\begin{bmatrix}44&7\\53&5\end{bmatrix}$, $\begin{bmatrix}53&24\\57&17\end{bmatrix}$ |
| 60.12.1.r.1 |
60.12.1.34 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$0$ |
|
$\begin{bmatrix}11&27\\22&55\end{bmatrix}$, $\begin{bmatrix}12&13\\41&27\end{bmatrix}$, $\begin{bmatrix}16&7\\31&20\end{bmatrix}$ |
| 60.12.1.s.1 |
60.12.1.4 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}12&59\\41&1\end{bmatrix}$, $\begin{bmatrix}28&25\\19&12\end{bmatrix}$, $\begin{bmatrix}37&34\\7&33\end{bmatrix}$ |
| 60.12.1.t.1 |
60.12.1.31 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$0$ |
|
$\begin{bmatrix}13&15\\42&29\end{bmatrix}$, $\begin{bmatrix}37&22\\23&55\end{bmatrix}$, $\begin{bmatrix}45&19\\2&39\end{bmatrix}$ |
| 60.12.1.u.1 |
60.12.1.25 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}23&2\\53&51\end{bmatrix}$, $\begin{bmatrix}41&39\\0&53\end{bmatrix}$, $\begin{bmatrix}59&39\\58&25\end{bmatrix}$ |
| 60.12.1.v.1 |
60.12.1.2 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}17&31\\27&52\end{bmatrix}$, $\begin{bmatrix}29&46\\13&55\end{bmatrix}$, $\begin{bmatrix}47&49\\18&19\end{bmatrix}$, $\begin{bmatrix}59&39\\19&10\end{bmatrix}$ |
| 60.12.1.w.1 |
60.12.1.23 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&13\\46&53\end{bmatrix}$, $\begin{bmatrix}14&19\\11&20\end{bmatrix}$, $\begin{bmatrix}29&12\\51&5\end{bmatrix}$ |
| 60.12.1.x.1 |
60.12.1.26 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&39\\16&43\end{bmatrix}$, $\begin{bmatrix}12&55\\31&2\end{bmatrix}$, $\begin{bmatrix}55&7\\4&29\end{bmatrix}$ |
| 60.12.1.y.1 |
60.12.1.1 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}19&59\\36&53\end{bmatrix}$, $\begin{bmatrix}29&7\\42&55\end{bmatrix}$, $\begin{bmatrix}46&29\\9&29\end{bmatrix}$, $\begin{bmatrix}56&37\\13&52\end{bmatrix}$ |
| 60.12.1.z.1 |
60.12.1.24 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&32\\25&19\end{bmatrix}$, $\begin{bmatrix}27&55\\31&54\end{bmatrix}$, $\begin{bmatrix}31&1\\55&38\end{bmatrix}$ |
| 60.12.1.ba.1 |
60.12.1.21 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&8\\11&33\end{bmatrix}$, $\begin{bmatrix}23&5\\59&42\end{bmatrix}$, $\begin{bmatrix}58&11\\15&56\end{bmatrix}$ |
| 60.12.1.bb.1 |
60.12.1.19 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}15&28\\58&15\end{bmatrix}$, $\begin{bmatrix}21&10\\23&21\end{bmatrix}$, $\begin{bmatrix}49&41\\50&47\end{bmatrix}$ |
| 60.12.1.bc.1 |
60.12.1.8 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}8&29\\35&24\end{bmatrix}$, $\begin{bmatrix}9&26\\25&27\end{bmatrix}$, $\begin{bmatrix}42&17\\1&48\end{bmatrix}$ |
| 60.12.1.bd.1 |
60.12.1.22 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&37\\7&50\end{bmatrix}$, $\begin{bmatrix}10&31\\13&45\end{bmatrix}$, $\begin{bmatrix}14&57\\45&38\end{bmatrix}$ |
| 60.12.1.be.1 |
60.12.1.20 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}20&9\\27&25\end{bmatrix}$, $\begin{bmatrix}21&22\\17&33\end{bmatrix}$, $\begin{bmatrix}31&17\\44&35\end{bmatrix}$ |
| 60.12.1.bf.1 |
60.12.1.7 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}16&31\\7&24\end{bmatrix}$, $\begin{bmatrix}30&17\\37&30\end{bmatrix}$, $\begin{bmatrix}58&59\\53&35\end{bmatrix}$ |
| 60.12.1.bg.1 |
60.12.1.29 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&23\\56&39\end{bmatrix}$, $\begin{bmatrix}37&20\\30&47\end{bmatrix}$, $\begin{bmatrix}56&21\\55&52\end{bmatrix}$ |
| 60.12.1.bh.1 |
60.12.1.28 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}18&11\\17&33\end{bmatrix}$, $\begin{bmatrix}23&47\\10&23\end{bmatrix}$, $\begin{bmatrix}49&43\\41&16\end{bmatrix}$ |
| 60.12.1.bi.1 |
60.12.1.9 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}39&47\\40&3\end{bmatrix}$, $\begin{bmatrix}44&19\\15&34\end{bmatrix}$, $\begin{bmatrix}53&39\\51&32\end{bmatrix}$ |
| 60.12.1.bj.1 |
60.12.1.30 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&50\\53&43\end{bmatrix}$, $\begin{bmatrix}19&19\\28&35\end{bmatrix}$, $\begin{bmatrix}31&2\\29&11\end{bmatrix}$ |
| 60.12.1.bk.1 |
60.12.1.27 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}23&6\\27&11\end{bmatrix}$, $\begin{bmatrix}26&21\\39&10\end{bmatrix}$, $\begin{bmatrix}37&32\\7&31\end{bmatrix}$ |
| 60.12.1.bl.1 |
60.12.1.10 |
|
6B1 |
|
|
|
$60$ |
$12$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}45&58\\4&41\end{bmatrix}$, $\begin{bmatrix}56&55\\19&43\end{bmatrix}$, $\begin{bmatrix}57&20\\37&21\end{bmatrix}$ |
