| 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 |
| 60.144.7.a.1 |
60.144.7.282 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{14}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}35&12\\24&19\end{bmatrix}$, $\begin{bmatrix}35&34\\26&5\end{bmatrix}$, $\begin{bmatrix}41&44\\44&13\end{bmatrix}$, $\begin{bmatrix}53&46\\14&35\end{bmatrix}$ |
| 60.144.7.b.1 |
60.144.7.281 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{11}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&42\\30&47\end{bmatrix}$, $\begin{bmatrix}45&16\\16&21\end{bmatrix}$, $\begin{bmatrix}53&2\\46&23\end{bmatrix}$, $\begin{bmatrix}55&34\\22&29\end{bmatrix}$ |
| 60.144.7.c.1 |
60.144.7.284 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{11}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&8\\28&51\end{bmatrix}$, $\begin{bmatrix}17&32\\16&5\end{bmatrix}$, $\begin{bmatrix}27&4\\40&3\end{bmatrix}$, $\begin{bmatrix}35&38\\2&37\end{bmatrix}$ |
| 60.144.7.d.1 |
60.144.7.283 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{14}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&58\\38&49\end{bmatrix}$, $\begin{bmatrix}23&48\\36&59\end{bmatrix}$, $\begin{bmatrix}27&14\\26&45\end{bmatrix}$, $\begin{bmatrix}57&56\\44&33\end{bmatrix}$ |
| 60.144.7.e.1 |
60.144.7.290 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{14}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&24\\0&43\end{bmatrix}$, $\begin{bmatrix}29&18\\36&19\end{bmatrix}$, $\begin{bmatrix}35&14\\8&13\end{bmatrix}$, $\begin{bmatrix}43&40\\40&59\end{bmatrix}$ |
| 60.144.7.f.1 |
60.144.7.289 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{11}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&42\\12&55\end{bmatrix}$, $\begin{bmatrix}17&8\\4&17\end{bmatrix}$, $\begin{bmatrix}33&4\\4&9\end{bmatrix}$, $\begin{bmatrix}55&14\\52&25\end{bmatrix}$ |
| 60.144.7.g.1 |
60.144.7.291 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{11}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&20\\44&47\end{bmatrix}$, $\begin{bmatrix}41&46\\20&59\end{bmatrix}$, $\begin{bmatrix}55&46\\4&41\end{bmatrix}$, $\begin{bmatrix}59&56\\28&35\end{bmatrix}$ |
| 60.144.7.h.1 |
60.144.7.292 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{14}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&20\\44&33\end{bmatrix}$, $\begin{bmatrix}17&26\\52&35\end{bmatrix}$, $\begin{bmatrix}23&16\\8&59\end{bmatrix}$, $\begin{bmatrix}47&14\\56&49\end{bmatrix}$ |
| 60.144.7.i.1 |
60.144.7.298 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&40\\34&57\end{bmatrix}$, $\begin{bmatrix}25&54\\6&19\end{bmatrix}$, $\begin{bmatrix}27&56\\14&3\end{bmatrix}$, $\begin{bmatrix}31&34\\44&37\end{bmatrix}$ |
| 60.144.7.j.1 |
60.144.7.300 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&34\\22&41\end{bmatrix}$, $\begin{bmatrix}17&16\\52&25\end{bmatrix}$, $\begin{bmatrix}23&12\\48&25\end{bmatrix}$, $\begin{bmatrix}31&58\\2&55\end{bmatrix}$ |
| 60.144.7.k.1 |
60.144.7.302 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}33&46\\20&3\end{bmatrix}$, $\begin{bmatrix}43&22\\50&13\end{bmatrix}$, $\begin{bmatrix}49&42\\6&11\end{bmatrix}$, $\begin{bmatrix}53&46\\2&47\end{bmatrix}$ |
| 60.144.7.l.1 |
60.144.7.294 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&6\\6&19\end{bmatrix}$, $\begin{bmatrix}13&14\\28&31\end{bmatrix}$, $\begin{bmatrix}29&40\\16&37\end{bmatrix}$, $\begin{bmatrix}51&28\\8&3\end{bmatrix}$ |
| 60.144.7.m.1 |
60.144.7.304 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}29&50\\22&41\end{bmatrix}$, $\begin{bmatrix}35&34\\2&5\end{bmatrix}$, $\begin{bmatrix}53&56\\56&19\end{bmatrix}$, $\begin{bmatrix}57&40\\56&51\end{bmatrix}$ |
| 60.144.7.n.1 |
60.144.7.295 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&48\\54&35\end{bmatrix}$, $\begin{bmatrix}15&32\\56&25\end{bmatrix}$, $\begin{bmatrix}31&36\\0&19\end{bmatrix}$, $\begin{bmatrix}53&16\\18&37\end{bmatrix}$ |
| 60.144.7.o.1 |
60.144.7.1 |
|
12A7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$6$ |
|
$2^{26}\cdot3^{10}\cdot5^{12}$ |
|
|
✓ |
$1\cdot2^{3}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}11&20\\12&7\end{bmatrix}$, $\begin{bmatrix}19&42\\18&7\end{bmatrix}$, $\begin{bmatrix}37&40\\42&53\end{bmatrix}$, $\begin{bmatrix}41&26\\42&31\end{bmatrix}$, $\begin{bmatrix}41&32\\30&37\end{bmatrix}$, $\begin{bmatrix}59&24\\24&23\end{bmatrix}$ |
| 60.144.7.p.1 |
60.144.7.10 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{8}\cdot5^{7}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&6\\30&53\end{bmatrix}$, $\begin{bmatrix}13&32\\10&49\end{bmatrix}$, $\begin{bmatrix}41&46\\50&27\end{bmatrix}$, $\begin{bmatrix}43&16\\0&19\end{bmatrix}$, $\begin{bmatrix}59&40\\10&27\end{bmatrix}$ |
| 60.144.7.q.1 |
60.144.7.11 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{8}\cdot5^{7}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&4\\14&13\end{bmatrix}$, $\begin{bmatrix}11&56\\28&39\end{bmatrix}$, $\begin{bmatrix}25&38\\8&45\end{bmatrix}$, $\begin{bmatrix}35&42\\12&55\end{bmatrix}$, $\begin{bmatrix}49&22\\58&3\end{bmatrix}$ |
| 60.144.7.r.1 |
60.144.7.9 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$3 \le \gamma \le 4$ |
$12$ |
$4$ |
|
$2^{20}\cdot3^{8}\cdot5^{7}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}7&24\\40&49\end{bmatrix}$, $\begin{bmatrix}9&40\\8&23\end{bmatrix}$, $\begin{bmatrix}13&40\\20&33\end{bmatrix}$, $\begin{bmatrix}49&38\\8&27\end{bmatrix}$, $\begin{bmatrix}57&34\\4&1\end{bmatrix}$ |
| 60.144.7.s.1 |
60.144.7.299 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&10\\14&37\end{bmatrix}$, $\begin{bmatrix}29&20\\32&37\end{bmatrix}$, $\begin{bmatrix}41&38\\38&43\end{bmatrix}$, $\begin{bmatrix}51&2\\46&9\end{bmatrix}$ |
| 60.144.7.t.1 |
60.144.7.297 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&34\\22&43\end{bmatrix}$, $\begin{bmatrix}21&38\\34&3\end{bmatrix}$, $\begin{bmatrix}49&8\\52&7\end{bmatrix}$, $\begin{bmatrix}55&14\\38&29\end{bmatrix}$ |
| 60.144.7.u.1 |
60.144.7.301 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$3$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&44\\32&17\end{bmatrix}$, $\begin{bmatrix}37&34\\38&55\end{bmatrix}$, $\begin{bmatrix}49&56\\34&13\end{bmatrix}$, $\begin{bmatrix}59&0\\54&19\end{bmatrix}$ |
| 60.144.7.v.1 |
60.144.7.293 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&28\\32&15\end{bmatrix}$, $\begin{bmatrix}41&16\\4&31\end{bmatrix}$, $\begin{bmatrix}43&12\\12&1\end{bmatrix}$, $\begin{bmatrix}49&10\\44&13\end{bmatrix}$ |
| 60.144.7.w.1 |
60.144.7.303 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&58\\14&53\end{bmatrix}$, $\begin{bmatrix}13&2\\32&35\end{bmatrix}$, $\begin{bmatrix}13&42\\36&55\end{bmatrix}$, $\begin{bmatrix}35&6\\48&53\end{bmatrix}$ |
| 60.144.7.x.1 |
60.144.7.296 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{13}\cdot5^{6}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&2\\4&9\end{bmatrix}$, $\begin{bmatrix}9&26\\44&13\end{bmatrix}$, $\begin{bmatrix}13&34\\52&23\end{bmatrix}$, $\begin{bmatrix}47&22\\36&19\end{bmatrix}$ |
| 60.144.7.y.1 |
60.144.7.418 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{8}\cdot5^{11}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&10\\28&21\end{bmatrix}$, $\begin{bmatrix}13&0\\50&47\end{bmatrix}$, $\begin{bmatrix}17&20\\8&9\end{bmatrix}$, $\begin{bmatrix}31&0\\20&47\end{bmatrix}$, $\begin{bmatrix}51&10\\58&53\end{bmatrix}$ |
| 60.144.7.z.1 |
60.144.7.417 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{8}\cdot5^{11}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}29&20\\14&3\end{bmatrix}$, $\begin{bmatrix}31&10\\38&57\end{bmatrix}$, $\begin{bmatrix}37&30\\16&1\end{bmatrix}$, $\begin{bmatrix}39&40\\2&21\end{bmatrix}$, $\begin{bmatrix}43&10\\22&57\end{bmatrix}$ |
| 60.144.7.ba.1 |
60.144.7.414 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$4$ |
|
$2^{20}\cdot3^{8}\cdot5^{11}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}9&26\\8&21\end{bmatrix}$, $\begin{bmatrix}11&14\\52&59\end{bmatrix}$, $\begin{bmatrix}17&54\\32&35\end{bmatrix}$, $\begin{bmatrix}53&30\\0&43\end{bmatrix}$, $\begin{bmatrix}57&26\\44&15\end{bmatrix}$ |
| 60.144.7.bb.1 |
60.144.7.446 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{8}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}11&30\\24&53\end{bmatrix}$, $\begin{bmatrix}11&40\\38&53\end{bmatrix}$, $\begin{bmatrix}19&0\\0&41\end{bmatrix}$, $\begin{bmatrix}19&10\\18&59\end{bmatrix}$, $\begin{bmatrix}33&20\\16&17\end{bmatrix}$ |
| 60.144.7.bc.1 |
60.144.7.450 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{8}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&30\\0&7\end{bmatrix}$, $\begin{bmatrix}25&28\\12&49\end{bmatrix}$, $\begin{bmatrix}29&16\\2&35\end{bmatrix}$, $\begin{bmatrix}29&56\\42&25\end{bmatrix}$, $\begin{bmatrix}55&16\\18&17\end{bmatrix}$ |
| 60.144.7.bd.1 |
60.144.7.447 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$3$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{8}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&50\\0&1\end{bmatrix}$, $\begin{bmatrix}9&40\\34&37\end{bmatrix}$, $\begin{bmatrix}11&20\\2&27\end{bmatrix}$, $\begin{bmatrix}29&40\\50&47\end{bmatrix}$, $\begin{bmatrix}31&10\\26&1\end{bmatrix}$ |
| 60.144.7.be.1 |
60.144.7.451 |
|
20K7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$3 \le \gamma \le 4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{8}\cdot5^{11}$ |
|
✓ |
✓ |
$1^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}9&28\\56&21\end{bmatrix}$, $\begin{bmatrix}11&26\\8&9\end{bmatrix}$, $\begin{bmatrix}13&50\\0&23\end{bmatrix}$, $\begin{bmatrix}31&18\\4&35\end{bmatrix}$, $\begin{bmatrix}53&36\\30&29\end{bmatrix}$ |
| 60.144.7.bf.1 |
60.144.7.135 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&30\\24&1\end{bmatrix}$, $\begin{bmatrix}23&54\\42&29\end{bmatrix}$, $\begin{bmatrix}31&38\\10&1\end{bmatrix}$, $\begin{bmatrix}43&12\\30&19\end{bmatrix}$ |
| 60.144.7.bg.1 |
60.144.7.199 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&52\\20&27\end{bmatrix}$, $\begin{bmatrix}13&42\\30&47\end{bmatrix}$, $\begin{bmatrix}39&32\\10&3\end{bmatrix}$, $\begin{bmatrix}59&10\\28&37\end{bmatrix}$ |
| 60.144.7.bh.1 |
60.144.7.138 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&16\\20&37\end{bmatrix}$, $\begin{bmatrix}13&58\\14&43\end{bmatrix}$, $\begin{bmatrix}53&18\\24&47\end{bmatrix}$, $\begin{bmatrix}59&50\\4&41\end{bmatrix}$ |
| 60.144.7.bi.1 |
60.144.7.134 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&40\\14&49\end{bmatrix}$, $\begin{bmatrix}31&44\\52&7\end{bmatrix}$, $\begin{bmatrix}51&32\\16&21\end{bmatrix}$, $\begin{bmatrix}55&36\\18&25\end{bmatrix}$ |
| 60.144.7.bj.1 |
60.144.7.196 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&40\\50&13\end{bmatrix}$, $\begin{bmatrix}13&38\\56&59\end{bmatrix}$, $\begin{bmatrix}25&56\\16&1\end{bmatrix}$, $\begin{bmatrix}51&34\\40&9\end{bmatrix}$ |
| 60.144.7.bk.1 |
60.144.7.178 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{14}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&54\\24&7\end{bmatrix}$, $\begin{bmatrix}13&56\\52&1\end{bmatrix}$, $\begin{bmatrix}23&56\\40&47\end{bmatrix}$, $\begin{bmatrix}55&16\\28&53\end{bmatrix}$ |
| 60.144.7.bl.1 |
60.144.7.136 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&56\\52&29\end{bmatrix}$, $\begin{bmatrix}11&46\\14&41\end{bmatrix}$, $\begin{bmatrix}27&22\\56&45\end{bmatrix}$, $\begin{bmatrix}59&44\\46&47\end{bmatrix}$ |
| 60.144.7.bm.1 |
60.144.7.198 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&30\\4&7\end{bmatrix}$, $\begin{bmatrix}35&4\\4&55\end{bmatrix}$, $\begin{bmatrix}45&28\\58&17\end{bmatrix}$, $\begin{bmatrix}49&54\\38&11\end{bmatrix}$ |
| 60.144.7.bn.1 |
60.144.7.137 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&42\\24&7\end{bmatrix}$, $\begin{bmatrix}5&2\\22&23\end{bmatrix}$, $\begin{bmatrix}11&52\\38&35\end{bmatrix}$, $\begin{bmatrix}19&16\\56&7\end{bmatrix}$ |
| 60.144.7.bo.1 |
60.144.7.133 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&32\\16&47\end{bmatrix}$, $\begin{bmatrix}9&26\\40&57\end{bmatrix}$, $\begin{bmatrix}31&14\\40&31\end{bmatrix}$, $\begin{bmatrix}59&34\\20&41\end{bmatrix}$ |
| 60.144.7.bp.1 |
60.144.7.197 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&4\\20&41\end{bmatrix}$, $\begin{bmatrix}35&58\\34&37\end{bmatrix}$, $\begin{bmatrix}37&56\\22&13\end{bmatrix}$, $\begin{bmatrix}39&44\\52&51\end{bmatrix}$ |
| 60.144.7.bq.1 |
60.144.7.177 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 6$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&46\\44&25\end{bmatrix}$, $\begin{bmatrix}19&26\\16&55\end{bmatrix}$, $\begin{bmatrix}27&46\\32&15\end{bmatrix}$, $\begin{bmatrix}29&2\\44&55\end{bmatrix}$ |
| 60.144.7.br.1 |
60.144.7.142 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{26}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}27&20\\22&39\end{bmatrix}$, $\begin{bmatrix}33&4\\2&45\end{bmatrix}$, $\begin{bmatrix}37&14\\46&13\end{bmatrix}$, $\begin{bmatrix}39&22\\8&57\end{bmatrix}$ |
| 60.144.7.bs.1 |
60.144.7.202 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{23}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&50\\16&13\end{bmatrix}$, $\begin{bmatrix}23&2\\2&1\end{bmatrix}$, $\begin{bmatrix}27&28\\2&27\end{bmatrix}$, $\begin{bmatrix}59&10\\56&47\end{bmatrix}$ |
| 60.144.7.bt.1 |
60.144.7.141 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&38\\58&37\end{bmatrix}$, $\begin{bmatrix}11&26\\34&11\end{bmatrix}$, $\begin{bmatrix}15&34\\2&57\end{bmatrix}$, $\begin{bmatrix}37&58\\44&49\end{bmatrix}$ |
| 60.144.7.bu.1 |
60.144.7.139 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$0$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&26\\4&13\end{bmatrix}$, $\begin{bmatrix}29&22\\50&59\end{bmatrix}$, $\begin{bmatrix}29&48\\48&23\end{bmatrix}$, $\begin{bmatrix}49&24\\30&13\end{bmatrix}$ |
| 60.144.7.bv.1 |
60.144.7.140 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4$ |
$12$ |
$0$ |
|
$2^{20}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}7&50\\10&49\end{bmatrix}$, $\begin{bmatrix}17&22\\44&5\end{bmatrix}$, $\begin{bmatrix}25&24\\6&43\end{bmatrix}$, $\begin{bmatrix}43&50\\34&7\end{bmatrix}$ |
| 60.144.7.bw.1 |
60.144.7.203 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$1$ |
$4$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&10\\44&51\end{bmatrix}$, $\begin{bmatrix}25&58\\34&59\end{bmatrix}$, $\begin{bmatrix}49&40\\2&1\end{bmatrix}$, $\begin{bmatrix}53&30\\36&29\end{bmatrix}$ |
| 60.144.7.bx.1 |
60.144.7.205 |
|
12B7 |
|
|
|
$60$ |
$144$ |
$7$ |
$2$ |
$4 \le \gamma \le 8$ |
$12$ |
$0$ |
|
$2^{21}\cdot3^{12}\cdot5^{8}$ |
|
|
✓ |
$1^{7}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&12\\18&7\end{bmatrix}$, $\begin{bmatrix}35&32\\56&25\end{bmatrix}$, $\begin{bmatrix}53&48\\6&5\end{bmatrix}$, $\begin{bmatrix}55&2\\28&55\end{bmatrix}$ |
