| 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 |
| 56.2016.49-14.a.1.1 |
56.2016.49.80 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&28\\28&15\end{bmatrix}$, $\begin{bmatrix}11&46\\14&45\end{bmatrix}$, $\begin{bmatrix}13&34\\28&15\end{bmatrix}$, $\begin{bmatrix}17&24\\14&39\end{bmatrix}$, $\begin{bmatrix}39&28\\0&53\end{bmatrix}$, $\begin{bmatrix}55&34\\14&1\end{bmatrix}$ |
| 56.2016.49-14.a.1.2 |
56.2016.49.77 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&14\\14&25\end{bmatrix}$, $\begin{bmatrix}13&34\\0&43\end{bmatrix}$, $\begin{bmatrix}23&28\\0&9\end{bmatrix}$, $\begin{bmatrix}43&50\\0&55\end{bmatrix}$, $\begin{bmatrix}45&10\\42&25\end{bmatrix}$, $\begin{bmatrix}51&44\\14&33\end{bmatrix}$ |
| 56.2016.49-14.a.1.3 |
56.2016.49.78 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&42\\14&17\end{bmatrix}$, $\begin{bmatrix}9&30\\14&33\end{bmatrix}$, $\begin{bmatrix}15&28\\28&29\end{bmatrix}$, $\begin{bmatrix}25&42\\42&39\end{bmatrix}$, $\begin{bmatrix}29&36\\0&41\end{bmatrix}$, $\begin{bmatrix}31&24\\42&53\end{bmatrix}$ |
| 56.2016.49-14.a.1.4 |
56.2016.49.79 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&14\\0&1\end{bmatrix}$, $\begin{bmatrix}15&22\\0&13\end{bmatrix}$, $\begin{bmatrix}19&14\\42&33\end{bmatrix}$, $\begin{bmatrix}19&42\\28&47\end{bmatrix}$, $\begin{bmatrix}23&30\\14&5\end{bmatrix}$, $\begin{bmatrix}55&20\\14&1\end{bmatrix}$ |
| 56.2016.49-14.a.1.5 |
56.2016.49.82 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&24\\14&25\end{bmatrix}$, $\begin{bmatrix}23&28\\14&9\end{bmatrix}$, $\begin{bmatrix}25&4\\14&45\end{bmatrix}$, $\begin{bmatrix}25&42\\0&53\end{bmatrix}$, $\begin{bmatrix}39&32\\42&3\end{bmatrix}$, $\begin{bmatrix}45&24\\14&39\end{bmatrix}$ |
| 56.2016.49-14.a.1.6 |
56.2016.49.81 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&34\\28&29\end{bmatrix}$, $\begin{bmatrix}23&2\\14&33\end{bmatrix}$, $\begin{bmatrix}27&6\\42&43\end{bmatrix}$, $\begin{bmatrix}31&0\\0&17\end{bmatrix}$, $\begin{bmatrix}33&12\\28&51\end{bmatrix}$, $\begin{bmatrix}51&16\\28&5\end{bmatrix}$ |
| 56.2016.49-14.a.1.7 |
56.2016.49.75 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&42\\0&33\end{bmatrix}$, $\begin{bmatrix}11&4\\14&45\end{bmatrix}$, $\begin{bmatrix}17&28\\28&17\end{bmatrix}$, $\begin{bmatrix}19&42\\0&19\end{bmatrix}$, $\begin{bmatrix}27&34\\0&43\end{bmatrix}$, $\begin{bmatrix}45&24\\0&11\end{bmatrix}$ |
| 56.2016.49-14.a.1.8 |
56.2016.49.76 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&54\\42&23\end{bmatrix}$, $\begin{bmatrix}33&42\\28&5\end{bmatrix}$, $\begin{bmatrix}39&14\\0&25\end{bmatrix}$, $\begin{bmatrix}45&52\\42&53\end{bmatrix}$, $\begin{bmatrix}47&40\\0&9\end{bmatrix}$, $\begin{bmatrix}55&20\\14&43\end{bmatrix}$ |
| 56.2016.49-28.a.1.1 |
56.2016.49.441 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{126}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&36\\8&27\end{bmatrix}$, $\begin{bmatrix}1&42\\0&29\end{bmatrix}$, $\begin{bmatrix}15&14\\0&15\end{bmatrix}$, $\begin{bmatrix}33&46\\0&37\end{bmatrix}$, $\begin{bmatrix}51&16\\2&5\end{bmatrix}$ |
| 56.2016.49-28.a.1.2 |
56.2016.49.442 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{126}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&52\\38&25\end{bmatrix}$, $\begin{bmatrix}5&4\\28&9\end{bmatrix}$, $\begin{bmatrix}19&18\\14&51\end{bmatrix}$, $\begin{bmatrix}45&38\\10&39\end{bmatrix}$, $\begin{bmatrix}45&50\\42&25\end{bmatrix}$ |
| 56.2016.49-28.a.1.3 |
56.2016.49.440 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{126}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&34\\48&43\end{bmatrix}$, $\begin{bmatrix}23&16\\44&33\end{bmatrix}$, $\begin{bmatrix}41&42\\14&13\end{bmatrix}$, $\begin{bmatrix}45&10\\10&11\end{bmatrix}$, $\begin{bmatrix}47&48\\40&37\end{bmatrix}$ |
| 56.2016.49-28.a.1.4 |
56.2016.49.439 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{126}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&24\\0&33\end{bmatrix}$, $\begin{bmatrix}13&52\\6&43\end{bmatrix}$, $\begin{bmatrix}23&38\\42&47\end{bmatrix}$, $\begin{bmatrix}25&34\\28&45\end{bmatrix}$, $\begin{bmatrix}41&20\\20&43\end{bmatrix}$ |
| 56.2016.49-56.a.1.1 |
56.2016.49.246 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&8\\50&27\end{bmatrix}$, $\begin{bmatrix}3&52\\24&25\end{bmatrix}$, $\begin{bmatrix}5&42\\28&5\end{bmatrix}$, $\begin{bmatrix}29&50\\22&41\end{bmatrix}$, $\begin{bmatrix}39&6\\14&31\end{bmatrix}$ |
| 56.2016.49-56.a.1.2 |
56.2016.49.248 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&52\\28&47\end{bmatrix}$, $\begin{bmatrix}15&36\\22&13\end{bmatrix}$, $\begin{bmatrix}17&54\\38&11\end{bmatrix}$, $\begin{bmatrix}23&22\\2&47\end{bmatrix}$, $\begin{bmatrix}33&34\\40&37\end{bmatrix}$ |
| 56.2016.49-56.a.1.3 |
56.2016.49.240 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&22\\8&13\end{bmatrix}$, $\begin{bmatrix}33&28\\42&33\end{bmatrix}$, $\begin{bmatrix}37&16\\2&5\end{bmatrix}$, $\begin{bmatrix}39&48\\14&17\end{bmatrix}$, $\begin{bmatrix}55&48\\34&29\end{bmatrix}$ |
| 56.2016.49-56.a.1.4 |
56.2016.49.244 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&4\\36&41\end{bmatrix}$, $\begin{bmatrix}25&46\\32&17\end{bmatrix}$, $\begin{bmatrix}29&50\\22&41\end{bmatrix}$, $\begin{bmatrix}37&14\\0&23\end{bmatrix}$, $\begin{bmatrix}43&26\\28&55\end{bmatrix}$ |
| 56.2016.49-56.a.1.5 |
56.2016.49.250 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&12\\10&39\end{bmatrix}$, $\begin{bmatrix}3&36\\14&53\end{bmatrix}$, $\begin{bmatrix}13&20\\34&29\end{bmatrix}$, $\begin{bmatrix}39&0\\14&39\end{bmatrix}$, $\begin{bmatrix}39&34\\42&31\end{bmatrix}$ |
| 56.2016.49-56.a.1.6 |
56.2016.49.254 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&18\\42&23\end{bmatrix}$, $\begin{bmatrix}19&28\\42&19\end{bmatrix}$, $\begin{bmatrix}41&28\\0&27\end{bmatrix}$, $\begin{bmatrix}53&2\\32&3\end{bmatrix}$, $\begin{bmatrix}53&20\\0&3\end{bmatrix}$ |
| 56.2016.49-56.a.1.7 |
56.2016.49.252 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\42&43\end{bmatrix}$, $\begin{bmatrix}13&14\\42&41\end{bmatrix}$, $\begin{bmatrix}25&48\\42&45\end{bmatrix}$, $\begin{bmatrix}31&42\\42&17\end{bmatrix}$, $\begin{bmatrix}33&26\\26&37\end{bmatrix}$ |
| 56.2016.49-56.a.1.8 |
56.2016.49.242 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$13$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&46\\22&55\end{bmatrix}$, $\begin{bmatrix}37&16\\44&47\end{bmatrix}$, $\begin{bmatrix}37&44\\16&5\end{bmatrix}$, $\begin{bmatrix}45&40\\52&25\end{bmatrix}$, $\begin{bmatrix}55&10\\20&1\end{bmatrix}$ |
| 56.2016.49-14.b.1.1 |
56.2016.49.69 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}11&6\\42&13\end{bmatrix}$, $\begin{bmatrix}15&22\\42&27\end{bmatrix}$, $\begin{bmatrix}17&16\\0&41\end{bmatrix}$, $\begin{bmatrix}19&16\\14&1\end{bmatrix}$, $\begin{bmatrix}41&48\\14&15\end{bmatrix}$, $\begin{bmatrix}43&28\\14&1\end{bmatrix}$ |
| 56.2016.49-14.b.1.2 |
56.2016.49.66 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}3&44\\28&41\end{bmatrix}$, $\begin{bmatrix}5&24\\28&55\end{bmatrix}$, $\begin{bmatrix}23&18\\14&29\end{bmatrix}$, $\begin{bmatrix}23&54\\0&13\end{bmatrix}$, $\begin{bmatrix}25&54\\42&29\end{bmatrix}$, $\begin{bmatrix}29&28\\42&43\end{bmatrix}$ |
| 56.2016.49-14.b.1.3 |
56.2016.49.70 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&52\\14&55\end{bmatrix}$, $\begin{bmatrix}13&14\\14&27\end{bmatrix}$, $\begin{bmatrix}29&8\\14&27\end{bmatrix}$, $\begin{bmatrix}29&36\\14&13\end{bmatrix}$, $\begin{bmatrix}39&40\\0&43\end{bmatrix}$, $\begin{bmatrix}53&20\\28&55\end{bmatrix}$ |
| 56.2016.49-14.b.1.4 |
56.2016.49.65 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}19&52\\42&41\end{bmatrix}$, $\begin{bmatrix}31&8\\42&29\end{bmatrix}$, $\begin{bmatrix}37&40\\0&27\end{bmatrix}$, $\begin{bmatrix}41&14\\28&13\end{bmatrix}$, $\begin{bmatrix}43&42\\0&43\end{bmatrix}$, $\begin{bmatrix}53&34\\0&27\end{bmatrix}$ |
| 56.2016.49-14.b.1.5 |
56.2016.49.72 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}15&14\\14&29\end{bmatrix}$, $\begin{bmatrix}23&4\\42&43\end{bmatrix}$, $\begin{bmatrix}33&16\\0&1\end{bmatrix}$, $\begin{bmatrix}33&38\\42&55\end{bmatrix}$, $\begin{bmatrix}37&4\\42&1\end{bmatrix}$, $\begin{bmatrix}41&20\\28&15\end{bmatrix}$ |
| 56.2016.49-14.b.1.6 |
56.2016.49.71 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&50\\0&41\end{bmatrix}$, $\begin{bmatrix}11&40\\14&29\end{bmatrix}$, $\begin{bmatrix}17&16\\28&13\end{bmatrix}$, $\begin{bmatrix}23&40\\14&27\end{bmatrix}$, $\begin{bmatrix}29&36\\14&27\end{bmatrix}$, $\begin{bmatrix}53&26\\14&29\end{bmatrix}$ |
| 56.2016.49-14.b.1.7 |
56.2016.49.68 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&10\\14&13\end{bmatrix}$, $\begin{bmatrix}9&54\\0&55\end{bmatrix}$, $\begin{bmatrix}13&14\\14&55\end{bmatrix}$, $\begin{bmatrix}27&0\\14&55\end{bmatrix}$, $\begin{bmatrix}45&50\\0&29\end{bmatrix}$, $\begin{bmatrix}53&20\\28&41\end{bmatrix}$ |
| 56.2016.49-14.b.1.8 |
56.2016.49.67 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}17&8\\28&29\end{bmatrix}$, $\begin{bmatrix}23&40\\0&13\end{bmatrix}$, $\begin{bmatrix}31&2\\28&27\end{bmatrix}$, $\begin{bmatrix}39&26\\14&43\end{bmatrix}$, $\begin{bmatrix}41&0\\28&13\end{bmatrix}$, $\begin{bmatrix}43&0\\0&43\end{bmatrix}$ |
| 56.2016.49-14.b.1.9 |
56.2016.49.74 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&52\\14&27\end{bmatrix}$, $\begin{bmatrix}19&10\\28&55\end{bmatrix}$, $\begin{bmatrix}25&26\\14&1\end{bmatrix}$, $\begin{bmatrix}45&36\\14&15\end{bmatrix}$, $\begin{bmatrix}47&10\\14&27\end{bmatrix}$, $\begin{bmatrix}47&52\\28&13\end{bmatrix}$ |
| 56.2016.49-14.b.1.10 |
56.2016.49.73 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}3&44\\42&27\end{bmatrix}$, $\begin{bmatrix}5&2\\42&15\end{bmatrix}$, $\begin{bmatrix}5&52\\14&55\end{bmatrix}$, $\begin{bmatrix}11&54\\0&29\end{bmatrix}$, $\begin{bmatrix}15&28\\0&15\end{bmatrix}$, $\begin{bmatrix}17&30\\28&41\end{bmatrix}$ |
| 56.2016.49-14.b.1.11 |
56.2016.49.63 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&8\\0&41\end{bmatrix}$, $\begin{bmatrix}19&16\\14&43\end{bmatrix}$, $\begin{bmatrix}31&22\\42&29\end{bmatrix}$, $\begin{bmatrix}39&6\\14&13\end{bmatrix}$, $\begin{bmatrix}41&20\\28&43\end{bmatrix}$, $\begin{bmatrix}47&24\\0&27\end{bmatrix}$ |
| 56.2016.49-14.b.1.12 |
56.2016.49.64 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}3&2\\0&27\end{bmatrix}$, $\begin{bmatrix}17&16\\28&55\end{bmatrix}$, $\begin{bmatrix}31&50\\42&29\end{bmatrix}$, $\begin{bmatrix}37&18\\0&15\end{bmatrix}$, $\begin{bmatrix}41&28\\42&13\end{bmatrix}$, $\begin{bmatrix}51&40\\14&55\end{bmatrix}$ |
| 56.2016.49-28.b.1.1 |
56.2016.49.417 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&7\\0&15\end{bmatrix}$, $\begin{bmatrix}23&17\\0&33\end{bmatrix}$, $\begin{bmatrix}31&8\\42&39\end{bmatrix}$, $\begin{bmatrix}33&42\\42&33\end{bmatrix}$, $\begin{bmatrix}45&7\\0&3\end{bmatrix}$ |
| 56.2016.49-28.b.1.2 |
56.2016.49.419 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&45\\0&19\end{bmatrix}$, $\begin{bmatrix}19&21\\42&47\end{bmatrix}$, $\begin{bmatrix}23&42\\42&51\end{bmatrix}$, $\begin{bmatrix}45&14\\42&45\end{bmatrix}$, $\begin{bmatrix}45&50\\42&25\end{bmatrix}$ |
| 56.2016.49-28.b.1.3 |
56.2016.49.415 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&0\\28&51\end{bmatrix}$, $\begin{bmatrix}41&37\\0&43\end{bmatrix}$, $\begin{bmatrix}45&49\\14&45\end{bmatrix}$, $\begin{bmatrix}47&14\\42&19\end{bmatrix}$, $\begin{bmatrix}55&14\\0&55\end{bmatrix}$ |
| 56.2016.49-28.b.1.4 |
56.2016.49.420 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&28\\42&23\end{bmatrix}$, $\begin{bmatrix}31&14\\28&3\end{bmatrix}$, $\begin{bmatrix}37&45\\14&33\end{bmatrix}$, $\begin{bmatrix}39&20\\14&3\end{bmatrix}$, $\begin{bmatrix}55&42\\42&55\end{bmatrix}$ |
| 56.2016.49-28.b.1.5 |
56.2016.49.416 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&1\\0&11\end{bmatrix}$, $\begin{bmatrix}23&21\\28&9\end{bmatrix}$, $\begin{bmatrix}23&24\\14&47\end{bmatrix}$, $\begin{bmatrix}23&24\\28&19\end{bmatrix}$, $\begin{bmatrix}45&50\\0&25\end{bmatrix}$ |
| 56.2016.49-28.b.1.6 |
56.2016.49.422 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&49\\42&33\end{bmatrix}$, $\begin{bmatrix}15&40\\28&27\end{bmatrix}$, $\begin{bmatrix}27&14\\0&55\end{bmatrix}$, $\begin{bmatrix}53&14\\28&53\end{bmatrix}$, $\begin{bmatrix}53&28\\14&25\end{bmatrix}$ |
| 56.2016.49-28.b.1.7 |
56.2016.49.418 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&19\\42&13\end{bmatrix}$, $\begin{bmatrix}17&21\\28&31\end{bmatrix}$, $\begin{bmatrix}29&5\\14&13\end{bmatrix}$, $\begin{bmatrix}39&42\\42&39\end{bmatrix}$, $\begin{bmatrix}45&43\\0&39\end{bmatrix}$ |
| 56.2016.49-28.b.1.8 |
56.2016.49.421 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{133}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&14\\42&1\end{bmatrix}$, $\begin{bmatrix}9&38\\42&33\end{bmatrix}$, $\begin{bmatrix}19&18\\28&23\end{bmatrix}$, $\begin{bmatrix}27&30\\14&15\end{bmatrix}$, $\begin{bmatrix}31&21\\14&3\end{bmatrix}$ |
| 56.2016.49-56.b.1.1 |
56.2016.49.245 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&50\\0&39\end{bmatrix}$, $\begin{bmatrix}31&42\\42&45\end{bmatrix}$, $\begin{bmatrix}41&28\\42&41\end{bmatrix}$, $\begin{bmatrix}45&26\\38&53\end{bmatrix}$, $\begin{bmatrix}53&4\\4&17\end{bmatrix}$ |
| 56.2016.49-56.b.1.2 |
56.2016.49.247 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&42\\42&3\end{bmatrix}$, $\begin{bmatrix}31&52\\52&53\end{bmatrix}$, $\begin{bmatrix}37&30\\16&47\end{bmatrix}$, $\begin{bmatrix}47&34\\26&23\end{bmatrix}$, $\begin{bmatrix}55&16\\0&15\end{bmatrix}$ |
| 56.2016.49-56.b.1.3 |
56.2016.49.239 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}41&28\\14&55\end{bmatrix}$, $\begin{bmatrix}47&12\\26&51\end{bmatrix}$, $\begin{bmatrix}47&28\\14&47\end{bmatrix}$, $\begin{bmatrix}51&14\\14&23\end{bmatrix}$, $\begin{bmatrix}53&48\\28&45\end{bmatrix}$ |
| 56.2016.49-56.b.1.4 |
56.2016.49.243 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&22\\22&55\end{bmatrix}$, $\begin{bmatrix}23&8\\44&5\end{bmatrix}$, $\begin{bmatrix}31&22\\42&53\end{bmatrix}$, $\begin{bmatrix}39&2\\32&3\end{bmatrix}$, $\begin{bmatrix}45&26\\38&11\end{bmatrix}$ |
| 56.2016.49-56.b.1.5 |
56.2016.49.249 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&34\\26&51\end{bmatrix}$, $\begin{bmatrix}31&42\\28&17\end{bmatrix}$, $\begin{bmatrix}41&30\\28&1\end{bmatrix}$, $\begin{bmatrix}53&46\\4&31\end{bmatrix}$, $\begin{bmatrix}55&16\\0&15\end{bmatrix}$ |
| 56.2016.49-56.b.1.6 |
56.2016.49.253 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&10\\28&33\end{bmatrix}$, $\begin{bmatrix}23&36\\16&19\end{bmatrix}$, $\begin{bmatrix}29&22\\22&13\end{bmatrix}$, $\begin{bmatrix}37&52\\14&5\end{bmatrix}$, $\begin{bmatrix}43&46\\50&13\end{bmatrix}$ |
| 56.2016.49-56.b.1.7 |
56.2016.49.251 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&14\\14&29\end{bmatrix}$, $\begin{bmatrix}3&8\\42&11\end{bmatrix}$, $\begin{bmatrix}27&2\\28&29\end{bmatrix}$, $\begin{bmatrix}41&52\\6&29\end{bmatrix}$, $\begin{bmatrix}51&28\\14&51\end{bmatrix}$ |
| 56.2016.49-56.b.1.8 |
56.2016.49.241 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$9$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{174}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}19&28\\42&19\end{bmatrix}$, $\begin{bmatrix}23&2\\44&19\end{bmatrix}$, $\begin{bmatrix}23&52\\0&33\end{bmatrix}$, $\begin{bmatrix}29&32\\22&55\end{bmatrix}$, $\begin{bmatrix}53&16\\32&17\end{bmatrix}$ |
| 56.2016.49-14.c.1.1 |
56.2016.49.53 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$10 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{98}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&35\\35&10\end{bmatrix}$, $\begin{bmatrix}24&31\\31&53\end{bmatrix}$, $\begin{bmatrix}37&2\\30&5\end{bmatrix}$, $\begin{bmatrix}53&21\\35&32\end{bmatrix}$ |
| 56.2016.49-14.c.1.2 |
56.2016.49.54 |
|
|
|
|
|
$56$ |
$2016$ |
$49$ |
$3$ |
$10 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{98}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}40&35\\49&19\end{bmatrix}$, $\begin{bmatrix}43&28\\0&43\end{bmatrix}$, $\begin{bmatrix}45&49\\49&24\end{bmatrix}$, $\begin{bmatrix}47&40\\54&9\end{bmatrix}$ |
