| 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 |
| 60.40.1-10.a.1.1 |
60.40.1.9 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}8&25\\29&27\end{bmatrix}$, $\begin{bmatrix}26&11\\17&49\end{bmatrix}$, $\begin{bmatrix}28&15\\39&17\end{bmatrix}$, $\begin{bmatrix}58&39\\29&55\end{bmatrix}$ |
| 60.40.1-10.a.1.2 |
60.40.1.12 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}21&43\\55&44\end{bmatrix}$, $\begin{bmatrix}34&57\\5&1\end{bmatrix}$, $\begin{bmatrix}41&44\\44&33\end{bmatrix}$, $\begin{bmatrix}59&59\\39&16\end{bmatrix}$ |
| 60.40.1-10.a.1.3 |
60.40.1.10 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}13&56\\46&51\end{bmatrix}$, $\begin{bmatrix}38&17\\57&59\end{bmatrix}$, $\begin{bmatrix}44&39\\59&1\end{bmatrix}$, $\begin{bmatrix}49&55\\27&16\end{bmatrix}$ |
| 60.40.1-10.a.1.4 |
60.40.1.11 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}16&33\\15&29\end{bmatrix}$, $\begin{bmatrix}22&29\\27&53\end{bmatrix}$, $\begin{bmatrix}23&0\\0&43\end{bmatrix}$, $\begin{bmatrix}46&45\\43&29\end{bmatrix}$ |
| 60.40.1-15.a.1.1 |
60.40.1.33 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}8&31\\3&14\end{bmatrix}$, $\begin{bmatrix}22&15\\45&38\end{bmatrix}$, $\begin{bmatrix}34&15\\45&7\end{bmatrix}$, $\begin{bmatrix}35&56\\27&55\end{bmatrix}$ |
| 60.40.1-15.a.1.2 |
60.40.1.32 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}11&0\\45&23\end{bmatrix}$, $\begin{bmatrix}41&22\\21&43\end{bmatrix}$, $\begin{bmatrix}43&1\\21&28\end{bmatrix}$, $\begin{bmatrix}55&29\\6&25\end{bmatrix}$ |
| 60.40.1-15.a.1.3 |
60.40.1.18 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}7&2\\9&1\end{bmatrix}$, $\begin{bmatrix}31&2\\6&23\end{bmatrix}$, $\begin{bmatrix}35&49\\48&25\end{bmatrix}$, $\begin{bmatrix}47&39\\48&29\end{bmatrix}$ |
| 60.40.1-15.a.1.4 |
60.40.1.19 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}41&58\\18&1\end{bmatrix}$, $\begin{bmatrix}49&55\\0&13\end{bmatrix}$, $\begin{bmatrix}49&59\\51&34\end{bmatrix}$, $\begin{bmatrix}58&37\\51&41\end{bmatrix}$ |
| 60.40.1-15.a.1.5 |
60.40.1.31 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}17&31\\33&46\end{bmatrix}$, $\begin{bmatrix}28&19\\21&2\end{bmatrix}$, $\begin{bmatrix}43&57\\9&14\end{bmatrix}$, $\begin{bmatrix}59&36\\6&11\end{bmatrix}$ |
| 60.40.1-15.a.1.6 |
60.40.1.30 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}2&23\\9&59\end{bmatrix}$, $\begin{bmatrix}7&51\\42&19\end{bmatrix}$, $\begin{bmatrix}50&9\\9&40\end{bmatrix}$, $\begin{bmatrix}56&35\\15&8\end{bmatrix}$ |
| 60.40.1-15.a.1.7 |
60.40.1.21 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}2&25\\15&47\end{bmatrix}$, $\begin{bmatrix}16&39\\39&34\end{bmatrix}$, $\begin{bmatrix}37&25\\45&14\end{bmatrix}$, $\begin{bmatrix}47&6\\42&49\end{bmatrix}$ |
| 60.40.1-15.a.1.8 |
60.40.1.20 |
|
15B1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
✓ |
$3\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$4$ |
|
$\begin{bmatrix}4&5\\45&47\end{bmatrix}$, $\begin{bmatrix}11&26\\3&7\end{bmatrix}$, $\begin{bmatrix}41&7\\3&44\end{bmatrix}$, $\begin{bmatrix}47&52\\21&59\end{bmatrix}$ |
| 60.40.1-20.a.1.1 |
60.40.1.50 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}35&21\\4&25\end{bmatrix}$, $\begin{bmatrix}37&13\\43&8\end{bmatrix}$, $\begin{bmatrix}43&47\\2&47\end{bmatrix}$, $\begin{bmatrix}47&46\\20&3\end{bmatrix}$ |
| 60.40.1-20.a.1.2 |
60.40.1.46 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}17&25\\21&58\end{bmatrix}$, $\begin{bmatrix}17&34\\12&53\end{bmatrix}$, $\begin{bmatrix}33&59\\44&55\end{bmatrix}$, $\begin{bmatrix}47&14\\17&43\end{bmatrix}$ |
| 60.40.1-20.a.1.3 |
60.40.1.17 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}3&29\\34&55\end{bmatrix}$, $\begin{bmatrix}29&53\\58&33\end{bmatrix}$, $\begin{bmatrix}43&37\\17&34\end{bmatrix}$, $\begin{bmatrix}49&30\\32&41\end{bmatrix}$ |
| 60.40.1-20.a.1.4 |
60.40.1.47 |
|
10C1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$2$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$1$ |
|
$0$ |
? |
$\begin{bmatrix}1&29\\54&29\end{bmatrix}$, $\begin{bmatrix}18&49\\5&47\end{bmatrix}$, $\begin{bmatrix}22&57\\29&28\end{bmatrix}$, $\begin{bmatrix}47&59\\29&24\end{bmatrix}$ |
| 60.40.1.a.1 |
60.40.1.14 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&20\\30&1\end{bmatrix}$, $\begin{bmatrix}12&41\\25&13\end{bmatrix}$, $\begin{bmatrix}43&23\\53&42\end{bmatrix}$, $\begin{bmatrix}55&58\\2&55\end{bmatrix}$ |
| 60.40.1.b.1 |
60.40.1.24 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&26\\1&17\end{bmatrix}$, $\begin{bmatrix}23&33\\8&17\end{bmatrix}$, $\begin{bmatrix}34&55\\7&21\end{bmatrix}$, $\begin{bmatrix}50&17\\57&56\end{bmatrix}$ |
| 60.40.1.c.1 |
60.40.1.48 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&56\\46&11\end{bmatrix}$, $\begin{bmatrix}13&42\\22&17\end{bmatrix}$, $\begin{bmatrix}47&37\\34&43\end{bmatrix}$, $\begin{bmatrix}57&58\\43&21\end{bmatrix}$ |
| 60.40.1.d.1 |
60.40.1.13 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&57\\31&4\end{bmatrix}$, $\begin{bmatrix}10&51\\41&53\end{bmatrix}$, $\begin{bmatrix}41&44\\44&33\end{bmatrix}$, $\begin{bmatrix}50&27\\3&25\end{bmatrix}$ |
| 60.40.1.e.1 |
60.40.1.28 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&53\\38&33\end{bmatrix}$, $\begin{bmatrix}15&8\\17&5\end{bmatrix}$, $\begin{bmatrix}31&34\\4&59\end{bmatrix}$, $\begin{bmatrix}44&11\\31&6\end{bmatrix}$ |
| 60.40.1.f.1 |
60.40.1.49 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}25&14\\21&25\end{bmatrix}$, $\begin{bmatrix}27&40\\46&23\end{bmatrix}$, $\begin{bmatrix}33&53\\28&47\end{bmatrix}$, $\begin{bmatrix}41&1\\42&49\end{bmatrix}$ |
| 60.40.1.g.1 |
60.40.1.44 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}18&37\\47&17\end{bmatrix}$, $\begin{bmatrix}26&51\\51&59\end{bmatrix}$, $\begin{bmatrix}27&37\\34&23\end{bmatrix}$ |
| 60.40.1.h.1 |
60.40.1.3 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}18&25\\55&8\end{bmatrix}$, $\begin{bmatrix}31&35\\35&36\end{bmatrix}$, $\begin{bmatrix}51&47\\52&17\end{bmatrix}$ |
| 60.40.1.i.1 |
60.40.1.42 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&11\\56&57\end{bmatrix}$, $\begin{bmatrix}11&25\\13&24\end{bmatrix}$, $\begin{bmatrix}32&29\\39&29\end{bmatrix}$ |
| 60.40.1.j.1 |
60.40.1.40 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}38&21\\53&17\end{bmatrix}$, $\begin{bmatrix}47&3\\8&43\end{bmatrix}$, $\begin{bmatrix}47&47\\37&18\end{bmatrix}$ |
| 60.40.1.k.1 |
60.40.1.1 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&3\\29&26\end{bmatrix}$, $\begin{bmatrix}32&55\\45&52\end{bmatrix}$, $\begin{bmatrix}37&18\\8&13\end{bmatrix}$ |
| 60.40.1.l.1 |
60.40.1.39 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}13&12\\12&37\end{bmatrix}$, $\begin{bmatrix}47&30\\41&23\end{bmatrix}$, $\begin{bmatrix}49&41\\11&42\end{bmatrix}$ |
| 60.40.1.m.1 |
60.40.1.36 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}35&3\\47&20\end{bmatrix}$, $\begin{bmatrix}57&35\\56&33\end{bmatrix}$, $\begin{bmatrix}59&44\\24&41\end{bmatrix}$ |
| 60.40.1.n.1 |
60.40.1.27 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
? |
$\begin{bmatrix}0&41\\29&15\end{bmatrix}$, $\begin{bmatrix}38&43\\53&17\end{bmatrix}$, $\begin{bmatrix}59&59\\48&41\end{bmatrix}$ |
| 60.40.1.o.1 |
60.40.1.7 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&27\\32&13\end{bmatrix}$, $\begin{bmatrix}20&17\\13&30\end{bmatrix}$, $\begin{bmatrix}31&59\\24&13\end{bmatrix}$ |
| 60.40.1.p.1 |
60.40.1.34 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&42\\37&1\end{bmatrix}$, $\begin{bmatrix}41&52\\2&57\end{bmatrix}$, $\begin{bmatrix}57&29\\2&43\end{bmatrix}$ |
| 60.40.1.q.1 |
60.40.1.22 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
✓ |
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$0$ |
|
$\begin{bmatrix}17&26\\55&23\end{bmatrix}$, $\begin{bmatrix}19&6\\41&41\end{bmatrix}$, $\begin{bmatrix}59&29\\34&51\end{bmatrix}$ |
| 60.40.1.r.1 |
60.40.1.6 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}29&19\\38&21\end{bmatrix}$, $\begin{bmatrix}31&2\\32&57\end{bmatrix}$, $\begin{bmatrix}40&19\\31&20\end{bmatrix}$ |
| 60.40.1.s.1 |
60.40.1.16 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}21&19\\4&29\end{bmatrix}$, $\begin{bmatrix}44&27\\35&11\end{bmatrix}$, $\begin{bmatrix}46&1\\37&44\end{bmatrix}$ |
| 60.40.1.t.1 |
60.40.1.25 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&49\\37&48\end{bmatrix}$, $\begin{bmatrix}29&9\\58&31\end{bmatrix}$, $\begin{bmatrix}53&7\\12&29\end{bmatrix}$ |
| 60.40.1.u.1 |
60.40.1.52 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&6\\26&11\end{bmatrix}$, $\begin{bmatrix}33&35\\59&42\end{bmatrix}$, $\begin{bmatrix}35&59\\26&55\end{bmatrix}$ |
| 60.40.1.v.1 |
60.40.1.45 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}0&29\\41&50\end{bmatrix}$, $\begin{bmatrix}47&29\\12&53\end{bmatrix}$, $\begin{bmatrix}53&31\\33&22\end{bmatrix}$ |
| 60.40.1.w.1 |
60.40.1.4 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}21&52\\32&27\end{bmatrix}$, $\begin{bmatrix}25&24\\9&17\end{bmatrix}$, $\begin{bmatrix}27&11\\41&10\end{bmatrix}$ |
| 60.40.1.x.1 |
60.40.1.43 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}7&9\\34&49\end{bmatrix}$, $\begin{bmatrix}25&19\\56&15\end{bmatrix}$, $\begin{bmatrix}35&1\\9&40\end{bmatrix}$ |
| 60.40.1.y.1 |
60.40.1.37 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}14&43\\33&8\end{bmatrix}$, $\begin{bmatrix}25&31\\4&45\end{bmatrix}$, $\begin{bmatrix}57&40\\56&3\end{bmatrix}$ |
| 60.40.1.z.1 |
60.40.1.23 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&34\\44&11\end{bmatrix}$, $\begin{bmatrix}11&53\\18&35\end{bmatrix}$, $\begin{bmatrix}49&7\\55&36\end{bmatrix}$ |
| 60.40.1.ba.1 |
60.40.1.8 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}15&19\\16&15\end{bmatrix}$, $\begin{bmatrix}23&53\\51&2\end{bmatrix}$, $\begin{bmatrix}36&23\\23&45\end{bmatrix}$ |
| 60.40.1.bb.1 |
60.40.1.15 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}46&1\\37&54\end{bmatrix}$, $\begin{bmatrix}49&52\\30&41\end{bmatrix}$, $\begin{bmatrix}53&38\\53&27\end{bmatrix}$ |
| 60.40.1.bc.1 |
60.40.1.29 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}8&39\\55&22\end{bmatrix}$, $\begin{bmatrix}34&21\\31&17\end{bmatrix}$, $\begin{bmatrix}51&37\\11&14\end{bmatrix}$ |
| 60.40.1.bd.1 |
60.40.1.51 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&52\\35&11\end{bmatrix}$, $\begin{bmatrix}32&29\\59&54\end{bmatrix}$, $\begin{bmatrix}43&19\\5&52\end{bmatrix}$ |
| 60.40.1.be.1 |
60.40.1.41 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}12&49\\29&14\end{bmatrix}$, $\begin{bmatrix}19&7\\40&21\end{bmatrix}$, $\begin{bmatrix}34&7\\37&0\end{bmatrix}$ |
| 60.40.1.bf.1 |
60.40.1.2 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}20&13\\33&44\end{bmatrix}$, $\begin{bmatrix}51&5\\50&41\end{bmatrix}$, $\begin{bmatrix}56&49\\39&44\end{bmatrix}$ |
| 60.40.1.bg.1 |
60.40.1.38 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2 \le \gamma \le 4$ |
$4$ |
$0$ |
|
$2^{4}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}37&15\\20&17\end{bmatrix}$, $\begin{bmatrix}47&43\\48&1\end{bmatrix}$, $\begin{bmatrix}48&37\\7&57\end{bmatrix}$ |
| 60.40.1.bh.1 |
60.40.1.35 |
|
10H1 |
|
|
|
$60$ |
$40$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&43\\56&47\end{bmatrix}$, $\begin{bmatrix}15&31\\59&0\end{bmatrix}$, $\begin{bmatrix}27&53\\53&46\end{bmatrix}$ |
