| 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 |
| 56.384.5-8.a.1.1 |
56.384.5.465 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&44\\2&47\end{bmatrix}$, $\begin{bmatrix}23&24\\32&47\end{bmatrix}$, $\begin{bmatrix}55&8\\2&37\end{bmatrix}$ |
| 56.384.5-8.a.1.2 |
56.384.5.468 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&28\\52&51\end{bmatrix}$, $\begin{bmatrix}17&24\\22&11\end{bmatrix}$, $\begin{bmatrix}41&4\\50&39\end{bmatrix}$ |
| 56.384.5-8.a.1.3 |
56.384.5.467 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&24\\38&43\end{bmatrix}$, $\begin{bmatrix}25&36\\52&5\end{bmatrix}$, $\begin{bmatrix}55&24\\34&37\end{bmatrix}$ |
| 56.384.5-8.a.1.4 |
56.384.5.466 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&12\\34&15\end{bmatrix}$, $\begin{bmatrix}23&24\\42&53\end{bmatrix}$, $\begin{bmatrix}55&0\\8&23\end{bmatrix}$ |
| 56.384.5-56.a.1.1 |
56.384.5.213 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&8\\42&51\end{bmatrix}$, $\begin{bmatrix}17&36\\28&5\end{bmatrix}$, $\begin{bmatrix}37&36\\40&53\end{bmatrix}$ |
| 56.384.5-56.a.1.2 |
56.384.5.325 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&24\\44&31\end{bmatrix}$, $\begin{bmatrix}25&48\\42&19\end{bmatrix}$, $\begin{bmatrix}43&52\\30&17\end{bmatrix}$ |
| 56.384.5-56.a.1.3 |
56.384.5.323 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&4\\50&17\end{bmatrix}$, $\begin{bmatrix}19&20\\8&19\end{bmatrix}$, $\begin{bmatrix}49&16\\2&27\end{bmatrix}$ |
| 56.384.5-56.a.1.4 |
56.384.5.278 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&28\\48&53\end{bmatrix}$, $\begin{bmatrix}27&32\\10&29\end{bmatrix}$, $\begin{bmatrix}49&40\\26&3\end{bmatrix}$ |
| 56.384.5-56.a.1.5 |
56.384.5.324 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&36\\32&3\end{bmatrix}$, $\begin{bmatrix}47&0\\22&53\end{bmatrix}$, $\begin{bmatrix}49&12\\54&47\end{bmatrix}$ |
| 56.384.5-56.a.1.6 |
56.384.5.280 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&12\\38&17\end{bmatrix}$, $\begin{bmatrix}27&32\\12&47\end{bmatrix}$, $\begin{bmatrix}47&52\\36&35\end{bmatrix}$ |
| 56.384.5-56.a.1.7 |
56.384.5.222 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&8\\6&45\end{bmatrix}$, $\begin{bmatrix}51&36\\54&17\end{bmatrix}$, $\begin{bmatrix}53&48\\4&25\end{bmatrix}$ |
| 56.384.5-56.a.1.8 |
56.384.5.326 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}27&16\\52&23\end{bmatrix}$, $\begin{bmatrix}41&12\\4&13\end{bmatrix}$, $\begin{bmatrix}45&28\\26&55\end{bmatrix}$ |
| 56.384.5-8.b.1.1 |
56.384.5.470 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&40\\24&11\end{bmatrix}$, $\begin{bmatrix}51&40\\24&7\end{bmatrix}$, $\begin{bmatrix}55&32\\0&15\end{bmatrix}$ |
| 56.384.5-8.b.1.2 |
56.384.5.472 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&24\\24&47\end{bmatrix}$, $\begin{bmatrix}19&40\\40&29\end{bmatrix}$, $\begin{bmatrix}53&40\\0&27\end{bmatrix}$ |
| 56.384.5-8.b.1.3 |
56.384.5.471 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&40\\48&19\end{bmatrix}$, $\begin{bmatrix}23&32\\48&21\end{bmatrix}$, $\begin{bmatrix}49&16\\32&43\end{bmatrix}$ |
| 56.384.5-8.b.1.4 |
56.384.5.469 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&8\\8&7\end{bmatrix}$, $\begin{bmatrix}43&24\\48&31\end{bmatrix}$, $\begin{bmatrix}45&8\\24&51\end{bmatrix}$ |
| 56.384.5-8.b.2.1 |
56.384.5.461 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&12\\40&41\end{bmatrix}$, $\begin{bmatrix}17&44\\46&55\end{bmatrix}$, $\begin{bmatrix}51&40\\18&49\end{bmatrix}$ |
| 56.384.5-8.b.2.2 |
56.384.5.464 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&36\\46&31\end{bmatrix}$, $\begin{bmatrix}53&0\\38&55\end{bmatrix}$, $\begin{bmatrix}55&16\\24&47\end{bmatrix}$ |
| 56.384.5-8.b.2.3 |
56.384.5.463 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}21&52\\24&33\end{bmatrix}$, $\begin{bmatrix}27&44\\24&55\end{bmatrix}$, $\begin{bmatrix}53&40\\22&39\end{bmatrix}$ |
| 56.384.5-8.b.2.4 |
56.384.5.462 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&16\\22&31\end{bmatrix}$, $\begin{bmatrix}29&36\\48&17\end{bmatrix}$, $\begin{bmatrix}51&36\\40&47\end{bmatrix}$ |
| 56.384.5-8.b.3.1 |
56.384.5.478 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&44\\50&7\end{bmatrix}$, $\begin{bmatrix}47&8\\24&27\end{bmatrix}$, $\begin{bmatrix}49&4\\50&11\end{bmatrix}$ |
| 56.384.5-8.b.3.2 |
56.384.5.480 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&4\\50&55\end{bmatrix}$, $\begin{bmatrix}7&32\\40&3\end{bmatrix}$, $\begin{bmatrix}15&0\\0&55\end{bmatrix}$ |
| 56.384.5-8.b.3.3 |
56.384.5.479 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&48\\16&53\end{bmatrix}$, $\begin{bmatrix}15&4\\46&21\end{bmatrix}$, $\begin{bmatrix}23&16\\0&55\end{bmatrix}$ |
| 56.384.5-8.b.3.4 |
56.384.5.477 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&48\\40&3\end{bmatrix}$, $\begin{bmatrix}33&12\\10&55\end{bmatrix}$, $\begin{bmatrix}41&40\\40&13\end{bmatrix}$ |
| 56.384.5-56.b.1.1 |
56.384.5.277 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&36\\20&39\end{bmatrix}$, $\begin{bmatrix}27&32\\40&39\end{bmatrix}$, $\begin{bmatrix}43&48\\40&53\end{bmatrix}$ |
| 56.384.5-56.b.1.2 |
56.384.5.328 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&8\\0&23\end{bmatrix}$, $\begin{bmatrix}43&52\\36&37\end{bmatrix}$, $\begin{bmatrix}47&24\\8&29\end{bmatrix}$ |
| 56.384.5-56.b.1.3 |
56.384.5.214 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&40\\24&1\end{bmatrix}$, $\begin{bmatrix}17&52\\36&19\end{bmatrix}$, $\begin{bmatrix}45&0\\8&27\end{bmatrix}$ |
| 56.384.5-56.b.1.4 |
56.384.5.322 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&24\\48&53\end{bmatrix}$, $\begin{bmatrix}29&0\\32&1\end{bmatrix}$, $\begin{bmatrix}35&4\\4&7\end{bmatrix}$ |
| 56.384.5-56.b.1.5 |
56.384.5.221 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&20\\44&13\end{bmatrix}$, $\begin{bmatrix}31&48\\40&29\end{bmatrix}$, $\begin{bmatrix}45&40\\0&17\end{bmatrix}$ |
| 56.384.5-56.b.1.6 |
56.384.5.321 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&20\\44&13\end{bmatrix}$, $\begin{bmatrix}33&0\\48&19\end{bmatrix}$, $\begin{bmatrix}55&12\\28&37\end{bmatrix}$ |
| 56.384.5-56.b.1.7 |
56.384.5.279 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&24\\32&51\end{bmatrix}$, $\begin{bmatrix}37&4\\4&11\end{bmatrix}$, $\begin{bmatrix}43&28\\36&47\end{bmatrix}$ |
| 56.384.5-56.b.1.8 |
56.384.5.327 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&40\\32&5\end{bmatrix}$, $\begin{bmatrix}13&52\\44&19\end{bmatrix}$, $\begin{bmatrix}37&28\\12&41\end{bmatrix}$ |
| 56.384.5-8.c.1.1 |
56.384.5.458 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&28\\14&29\end{bmatrix}$, $\begin{bmatrix}31&36\\28&43\end{bmatrix}$, $\begin{bmatrix}49&36\\18&11\end{bmatrix}$ |
| 56.384.5-8.c.1.2 |
56.384.5.460 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&16\\26&9\end{bmatrix}$, $\begin{bmatrix}31&36\\6&21\end{bmatrix}$, $\begin{bmatrix}39&20\\36&51\end{bmatrix}$ |
| 56.384.5-8.c.1.3 |
56.384.5.459 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&48\\32&31\end{bmatrix}$, $\begin{bmatrix}31&0\\2&17\end{bmatrix}$, $\begin{bmatrix}31&44\\12&27\end{bmatrix}$ |
| 56.384.5-8.c.1.4 |
56.384.5.457 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$0$ |
|
$2^{30}$ |
|
|
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&52\\52&11\end{bmatrix}$, $\begin{bmatrix}31&16\\18&9\end{bmatrix}$, $\begin{bmatrix}55&20\\30&13\end{bmatrix}$ |
| 56.384.5-56.c.1.1 |
56.384.5.215 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}27&52\\4&41\end{bmatrix}$, $\begin{bmatrix}41&0\\12&29\end{bmatrix}$, $\begin{bmatrix}51&0\\44&45\end{bmatrix}$ |
| 56.384.5-56.c.1.2 |
56.384.5.318 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&44\\20&31\end{bmatrix}$, $\begin{bmatrix}17&52\\40&45\end{bmatrix}$, $\begin{bmatrix}37&20\\0&11\end{bmatrix}$ |
| 56.384.5-56.c.1.3 |
56.384.5.384 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&24\\20&45\end{bmatrix}$, $\begin{bmatrix}27&4\\8&29\end{bmatrix}$, $\begin{bmatrix}37&24\\20&19\end{bmatrix}$ |
| 56.384.5-56.c.1.4 |
56.384.5.273 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&20\\8&27\end{bmatrix}$, $\begin{bmatrix}29&0\\52&19\end{bmatrix}$, $\begin{bmatrix}43&4\\52&25\end{bmatrix}$ |
| 56.384.5-56.c.1.5 |
56.384.5.383 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&16\\48&49\end{bmatrix}$, $\begin{bmatrix}33&48\\12&29\end{bmatrix}$, $\begin{bmatrix}45&36\\48&19\end{bmatrix}$ |
| 56.384.5-56.c.1.6 |
56.384.5.275 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&48\\12&21\end{bmatrix}$, $\begin{bmatrix}37&36\\52&31\end{bmatrix}$, $\begin{bmatrix}43&44\\40&53\end{bmatrix}$ |
| 56.384.5-56.c.1.7 |
56.384.5.223 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&40\\28&45\end{bmatrix}$, $\begin{bmatrix}25&12\\8&53\end{bmatrix}$, $\begin{bmatrix}53&20\\28&31\end{bmatrix}$ |
| 56.384.5-56.c.1.8 |
56.384.5.317 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&52\\16&5\end{bmatrix}$, $\begin{bmatrix}5&4\\20&31\end{bmatrix}$, $\begin{bmatrix}55&52\\4&31\end{bmatrix}$ |
| 56.384.5-56.c.2.1 |
56.384.5.319 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&12\\16&27\end{bmatrix}$, $\begin{bmatrix}31&12\\22&1\end{bmatrix}$, $\begin{bmatrix}37&8\\48&9\end{bmatrix}$ |
| 56.384.5-56.c.2.2 |
56.384.5.216 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}25&12\\48&29\end{bmatrix}$, $\begin{bmatrix}41&48\\26&35\end{bmatrix}$, $\begin{bmatrix}45&32\\2&3\end{bmatrix}$ |
| 56.384.5-56.c.2.3 |
56.384.5.274 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&4\\48&45\end{bmatrix}$, $\begin{bmatrix}33&40\\10&35\end{bmatrix}$, $\begin{bmatrix}35&8\\8&47\end{bmatrix}$ |
| 56.384.5-56.c.2.4 |
56.384.5.381 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&44\\40&11\end{bmatrix}$, $\begin{bmatrix}19&24\\48&7\end{bmatrix}$, $\begin{bmatrix}43&24\\38&53\end{bmatrix}$ |
| 56.384.5-56.c.2.5 |
56.384.5.224 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&20\\24&29\end{bmatrix}$, $\begin{bmatrix}5&0\\40&25\end{bmatrix}$, $\begin{bmatrix}15&4\\30&25\end{bmatrix}$ |
| 56.384.5-56.c.2.6 |
56.384.5.320 |
|
8A5 |
|
|
|
$56$ |
$384$ |
$5$ |
$2$ |
$4$ |
$24$ |
$0$ |
|
$2^{28}\cdot7^{4}$ |
|
✓ |
|
$1^{3}\cdot2$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&44\\0&19\end{bmatrix}$, $\begin{bmatrix}25&12\\50&55\end{bmatrix}$, $\begin{bmatrix}53&0\\40&33\end{bmatrix}$ |
