| 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 |
| 84.48.1.a.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}1&48\\40&47\end{bmatrix}$, $\begin{bmatrix}9&10\\82&21\end{bmatrix}$, $\begin{bmatrix}23&76\\12&49\end{bmatrix}$, $\begin{bmatrix}25&54\\46&17\end{bmatrix}$, $\begin{bmatrix}27&80\\52&77\end{bmatrix}$, $\begin{bmatrix}65&24\\42&17\end{bmatrix}$ |
| 84.48.1.b.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}45&8\\82&83\end{bmatrix}$, $\begin{bmatrix}47&76\\74&45\end{bmatrix}$, $\begin{bmatrix}61&30\\28&41\end{bmatrix}$, $\begin{bmatrix}69&46\\46&27\end{bmatrix}$, $\begin{bmatrix}75&16\\22&15\end{bmatrix}$, $\begin{bmatrix}75&52\\70&9\end{bmatrix}$ |
| 84.48.1.ba.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}59&19\\2&39\end{bmatrix}$, $\begin{bmatrix}69&28\\56&73\end{bmatrix}$, $\begin{bmatrix}69&64\\50&73\end{bmatrix}$, $\begin{bmatrix}73&23\\6&59\end{bmatrix}$ |
| 84.48.1.bb.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}3&70\\8&19\end{bmatrix}$, $\begin{bmatrix}19&2\\78&5\end{bmatrix}$, $\begin{bmatrix}51&10\\16&9\end{bmatrix}$, $\begin{bmatrix}69&37\\34&63\end{bmatrix}$ |
| 84.48.1.bc.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}39&55\\40&9\end{bmatrix}$, $\begin{bmatrix}43&14\\12&65\end{bmatrix}$, $\begin{bmatrix}45&43\\38&49\end{bmatrix}$, $\begin{bmatrix}55&26\\52&39\end{bmatrix}$ |
| 84.48.1.bd.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}51&1\\74&19\end{bmatrix}$, $\begin{bmatrix}51&53\\26&21\end{bmatrix}$, $\begin{bmatrix}57&7\\32&13\end{bmatrix}$, $\begin{bmatrix}71&51\\50&13\end{bmatrix}$ |
| 84.48.1.be.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}23&69\\2&31\end{bmatrix}$, $\begin{bmatrix}41&66\\14&67\end{bmatrix}$, $\begin{bmatrix}47&76\\6&25\end{bmatrix}$, $\begin{bmatrix}61&60\\48&43\end{bmatrix}$ |
| 84.48.1.bf.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}17&28\\54&31\end{bmatrix}$, $\begin{bmatrix}19&21\\24&73\end{bmatrix}$, $\begin{bmatrix}33&80\\50&45\end{bmatrix}$, $\begin{bmatrix}59&66\\12&59\end{bmatrix}$ |
| 84.48.1.bg.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}9&20\\62&27\end{bmatrix}$, $\begin{bmatrix}37&20\\18&41\end{bmatrix}$, $\begin{bmatrix}41&57\\6&23\end{bmatrix}$, $\begin{bmatrix}75&50\\26&39\end{bmatrix}$ |
| 84.48.1.bh.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}15&83\\82&77\end{bmatrix}$, $\begin{bmatrix}21&41\\80&57\end{bmatrix}$, $\begin{bmatrix}39&37\\62&19\end{bmatrix}$, $\begin{bmatrix}83&78\\50&79\end{bmatrix}$ |
| 84.48.1.bi.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}15&16\\56&79\end{bmatrix}$, $\begin{bmatrix}17&33\\14&37\end{bmatrix}$, $\begin{bmatrix}35&73\\24&43\end{bmatrix}$, $\begin{bmatrix}59&4\\60&37\end{bmatrix}$ |
| 84.48.1.bj.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&71\\46&63\end{bmatrix}$, $\begin{bmatrix}19&80\\82&33\end{bmatrix}$, $\begin{bmatrix}31&24\\4&5\end{bmatrix}$, $\begin{bmatrix}33&10\\68&1\end{bmatrix}$ |
| 84.48.1.bk.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&39\\6&43\end{bmatrix}$, $\begin{bmatrix}17&64\\66&61\end{bmatrix}$, $\begin{bmatrix}25&47\\82&63\end{bmatrix}$, $\begin{bmatrix}43&0\\36&73\end{bmatrix}$ |
| 84.48.1.bl.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}5&57\\66&17\end{bmatrix}$, $\begin{bmatrix}31&8\\54&5\end{bmatrix}$, $\begin{bmatrix}65&4\\42&19\end{bmatrix}$, $\begin{bmatrix}69&13\\64&27\end{bmatrix}$ |
| 84.48.1.bm.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}17&46\\42&25\end{bmatrix}$, $\begin{bmatrix}33&20\\68&3\end{bmatrix}$, $\begin{bmatrix}39&7\\50&73\end{bmatrix}$, $\begin{bmatrix}77&13\\60&13\end{bmatrix}$ |
| 84.48.1.bn.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}3&77\\22&53\end{bmatrix}$, $\begin{bmatrix}9&31\\40&33\end{bmatrix}$, $\begin{bmatrix}65&82\\72&7\end{bmatrix}$, $\begin{bmatrix}67&72\\34&23\end{bmatrix}$ |
| 84.48.1.bo.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}41&31\\6&19\end{bmatrix}$, $\begin{bmatrix}43&78\\40&23\end{bmatrix}$, $\begin{bmatrix}67&14\\28&9\end{bmatrix}$, $\begin{bmatrix}81&65\\82&65\end{bmatrix}$ |
| 84.48.1.bp.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&81\\46&71\end{bmatrix}$, $\begin{bmatrix}9&68\\20&9\end{bmatrix}$, $\begin{bmatrix}57&1\\2&19\end{bmatrix}$, $\begin{bmatrix}59&15\\6&71\end{bmatrix}$ |
| 84.48.1.bq.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}23&24\\68&19\end{bmatrix}$, $\begin{bmatrix}47&27\\48&77\end{bmatrix}$, $\begin{bmatrix}51&61\\70&45\end{bmatrix}$, $\begin{bmatrix}75&35\\76&53\end{bmatrix}$, $\begin{bmatrix}81&46\\40&9\end{bmatrix}$ |
| 84.48.1.br.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&80\\76&33\end{bmatrix}$, $\begin{bmatrix}5&13\\78&55\end{bmatrix}$, $\begin{bmatrix}41&22\\72&1\end{bmatrix}$, $\begin{bmatrix}53&12\\26&7\end{bmatrix}$, $\begin{bmatrix}67&36\\64&83\end{bmatrix}$ |
| 84.48.1.bs.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}9&2\\20&51\end{bmatrix}$, $\begin{bmatrix}13&35\\78&5\end{bmatrix}$, $\begin{bmatrix}29&52\\32&27\end{bmatrix}$, $\begin{bmatrix}81&47\\2&15\end{bmatrix}$ |
| 84.48.1.bt.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}27&26\\32&3\end{bmatrix}$, $\begin{bmatrix}49&44\\40&9\end{bmatrix}$, $\begin{bmatrix}59&57\\30&5\end{bmatrix}$, $\begin{bmatrix}63&26\\76&65\end{bmatrix}$ |
| 84.48.1.bu.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}9&76\\62&19\end{bmatrix}$, $\begin{bmatrix}65&30\\54&35\end{bmatrix}$, $\begin{bmatrix}81&20\\32&9\end{bmatrix}$, $\begin{bmatrix}83&33\\6&65\end{bmatrix}$, $\begin{bmatrix}83&52\\42&37\end{bmatrix}$ |
| 84.48.1.bv.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}7&51\\82&77\end{bmatrix}$, $\begin{bmatrix}11&18\\74&61\end{bmatrix}$, $\begin{bmatrix}19&63\\60&73\end{bmatrix}$, $\begin{bmatrix}43&35\\22&33\end{bmatrix}$, $\begin{bmatrix}55&74\\34&33\end{bmatrix}$ |
| 84.48.1.bw.1 |
|
|
12Q1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$4$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}2&11\\17&22\end{bmatrix}$, $\begin{bmatrix}13&66\\46&11\end{bmatrix}$, $\begin{bmatrix}46&55\\9&5\end{bmatrix}$, $\begin{bmatrix}73&58\\46&59\end{bmatrix}$ |
| 84.48.1.bx.1 |
|
|
12Q1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$4$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}10&43\\49&53\end{bmatrix}$, $\begin{bmatrix}31&19\\18&29\end{bmatrix}$, $\begin{bmatrix}68&63\\15&32\end{bmatrix}$, $\begin{bmatrix}71&80\\8&55\end{bmatrix}$ |
| 84.48.1.c.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}11&66\\54&41\end{bmatrix}$, $\begin{bmatrix}33&64\\16&57\end{bmatrix}$, $\begin{bmatrix}45&20\\22&47\end{bmatrix}$, $\begin{bmatrix}67&18\\36&13\end{bmatrix}$, $\begin{bmatrix}67&68\\4&51\end{bmatrix}$, $\begin{bmatrix}73&6\\16&5\end{bmatrix}$ |
| 84.48.1.d.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}5&22\\6&79\end{bmatrix}$, $\begin{bmatrix}9&28\\64&3\end{bmatrix}$, $\begin{bmatrix}11&70\\72&19\end{bmatrix}$, $\begin{bmatrix}19&32\\64&39\end{bmatrix}$, $\begin{bmatrix}55&18\\60&1\end{bmatrix}$, $\begin{bmatrix}71&76\\72&43\end{bmatrix}$ |
| 84.48.1.e.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}5&43\\2&33\end{bmatrix}$, $\begin{bmatrix}27&13\\68&37\end{bmatrix}$, $\begin{bmatrix}45&38\\22&65\end{bmatrix}$, $\begin{bmatrix}51&55\\10&3\end{bmatrix}$, $\begin{bmatrix}67&48\\36&55\end{bmatrix}$ |
| 84.48.1.f.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}13&11\\40&75\end{bmatrix}$, $\begin{bmatrix}29&82\\36&1\end{bmatrix}$, $\begin{bmatrix}31&33\\34&47\end{bmatrix}$, $\begin{bmatrix}69&25\\32&55\end{bmatrix}$, $\begin{bmatrix}75&73\\2&7\end{bmatrix}$ |
| 84.48.1.g.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}33&67\\20&43\end{bmatrix}$, $\begin{bmatrix}61&3\\4&47\end{bmatrix}$, $\begin{bmatrix}67&9\\52&29\end{bmatrix}$, $\begin{bmatrix}77&18\\26&37\end{bmatrix}$, $\begin{bmatrix}83&70\\6&55\end{bmatrix}$ |
| 84.48.1.h.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}1&74\\60&53\end{bmatrix}$, $\begin{bmatrix}15&38\\58&11\end{bmatrix}$, $\begin{bmatrix}41&9\\36&11\end{bmatrix}$, $\begin{bmatrix}67&24\\30&43\end{bmatrix}$, $\begin{bmatrix}75&52\\8&7\end{bmatrix}$ |
| 84.48.1.i.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}23&1\\36&79\end{bmatrix}$, $\begin{bmatrix}69&53\\58&17\end{bmatrix}$, $\begin{bmatrix}73&20\\12&29\end{bmatrix}$, $\begin{bmatrix}77&69\\20&1\end{bmatrix}$ |
| 84.48.1.j.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}9&17\\2&21\end{bmatrix}$, $\begin{bmatrix}39&20\\70&41\end{bmatrix}$, $\begin{bmatrix}57&31\\76&9\end{bmatrix}$, $\begin{bmatrix}71&58\\78&61\end{bmatrix}$ |
| 84.48.1.k.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}5&19\\36&31\end{bmatrix}$, $\begin{bmatrix}7&57\\60&25\end{bmatrix}$, $\begin{bmatrix}19&66\\60&55\end{bmatrix}$, $\begin{bmatrix}25&65\\12&23\end{bmatrix}$, $\begin{bmatrix}55&48\\40&29\end{bmatrix}$ |
| 84.48.1.l.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}19&63\\76&17\end{bmatrix}$, $\begin{bmatrix}51&49\\20&1\end{bmatrix}$, $\begin{bmatrix}51&62\\52&11\end{bmatrix}$, $\begin{bmatrix}73&60\\24&43\end{bmatrix}$, $\begin{bmatrix}75&11\\16&29\end{bmatrix}$ |
| 84.48.1.m.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}11&78\\38&25\end{bmatrix}$, $\begin{bmatrix}15&22\\44&67\end{bmatrix}$, $\begin{bmatrix}47&33\\42&71\end{bmatrix}$, $\begin{bmatrix}75&11\\76&83\end{bmatrix}$ |
| 84.48.1.n.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}3&8\\50&57\end{bmatrix}$, $\begin{bmatrix}31&77\\34&75\end{bmatrix}$, $\begin{bmatrix}33&17\\62&69\end{bmatrix}$, $\begin{bmatrix}59&49\\74&3\end{bmatrix}$ |
| 84.48.1.o.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}15&1\\76&15\end{bmatrix}$, $\begin{bmatrix}59&67\\24&37\end{bmatrix}$, $\begin{bmatrix}67&29\\36&41\end{bmatrix}$, $\begin{bmatrix}71&12\\8&43\end{bmatrix}$, $\begin{bmatrix}71&22\\8&51\end{bmatrix}$ |
| 84.48.1.p.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2$ |
$8$ |
$4$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
|
$\begin{bmatrix}5&39\\36&59\end{bmatrix}$, $\begin{bmatrix}27&50\\40&53\end{bmatrix}$, $\begin{bmatrix}45&17\\64&11\end{bmatrix}$, $\begin{bmatrix}57&10\\52&21\end{bmatrix}$, $\begin{bmatrix}57&23\\64&77\end{bmatrix}$ |
| 84.48.1.q.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}7&36\\66&1\end{bmatrix}$, $\begin{bmatrix}41&58\\56&39\end{bmatrix}$, $\begin{bmatrix}65&12\\36&11\end{bmatrix}$, $\begin{bmatrix}69&47\\32&75\end{bmatrix}$ |
| 84.48.1.r.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}33&47\\56&69\end{bmatrix}$, $\begin{bmatrix}35&48\\36&59\end{bmatrix}$, $\begin{bmatrix}45&43\\82&75\end{bmatrix}$, $\begin{bmatrix}51&56\\22&5\end{bmatrix}$ |
| 84.48.1.s.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}5&48\\68&31\end{bmatrix}$, $\begin{bmatrix}9&41\\38&63\end{bmatrix}$, $\begin{bmatrix}39&26\\62&33\end{bmatrix}$, $\begin{bmatrix}73&29\\64&63\end{bmatrix}$ |
| 84.48.1.t.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&3\\60&7\end{bmatrix}$, $\begin{bmatrix}1&57\\70&59\end{bmatrix}$, $\begin{bmatrix}15&34\\46&69\end{bmatrix}$, $\begin{bmatrix}43&65\\34&39\end{bmatrix}$ |
| 84.48.1.u.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}1&69\\4&83\end{bmatrix}$, $\begin{bmatrix}11&37\\44&27\end{bmatrix}$, $\begin{bmatrix}19&41\\24&77\end{bmatrix}$, $\begin{bmatrix}23&6\\74&79\end{bmatrix}$ |
| 84.48.1.v.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}13&81\\36&25\end{bmatrix}$, $\begin{bmatrix}17&34\\66&25\end{bmatrix}$, $\begin{bmatrix}27&31\\2&67\end{bmatrix}$, $\begin{bmatrix}75&4\\22&3\end{bmatrix}$ |
| 84.48.1.w.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}57&22\\46&57\end{bmatrix}$, $\begin{bmatrix}69&28\\70&3\end{bmatrix}$, $\begin{bmatrix}79&11\\64&15\end{bmatrix}$, $\begin{bmatrix}81&56\\38&15\end{bmatrix}$ |
| 84.48.1.x.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}19&35\\54&83\end{bmatrix}$, $\begin{bmatrix}37&8\\6&53\end{bmatrix}$, $\begin{bmatrix}63&53\\62&51\end{bmatrix}$, $\begin{bmatrix}75&68\\26&9\end{bmatrix}$ |
| 84.48.1.y.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
? |
$\begin{bmatrix}15&23\\62&51\end{bmatrix}$, $\begin{bmatrix}15&35\\68&27\end{bmatrix}$, $\begin{bmatrix}25&74\\58&15\end{bmatrix}$, $\begin{bmatrix}51&32\\46&35\end{bmatrix}$ |
| 84.48.1.z.1 |
|
|
12P1 |
|
|
|
$84$ |
$48$ |
$1$ |
|
$2 \le \gamma \le 48$ |
$8$ |
$0$ |
|
$?$ |
✓ |
✓ |
✓ |
$1$ |
|
|
✓ |
$\begin{bmatrix}11&6\\72&65\end{bmatrix}$, $\begin{bmatrix}17&51\\74&43\end{bmatrix}$, $\begin{bmatrix}29&55\\72&7\end{bmatrix}$, $\begin{bmatrix}41&9\\38&37\end{bmatrix}$ |
