| 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 |
| 16.384.21.a.1 |
16.384.21.5 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$6$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{162}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}5&6\\10&15\end{bmatrix}$, $\begin{bmatrix}7&12\\4&11\end{bmatrix}$, $\begin{bmatrix}15&8\\8&7\end{bmatrix}$ |
| 16.384.21.a.2 |
16.384.21.33 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$6$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{162}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&12\\4&1\end{bmatrix}$, $\begin{bmatrix}11&10\\2&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.b.1 |
16.384.21.18 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{154}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&0\\12&7\end{bmatrix}$, $\begin{bmatrix}5&4\\8&7\end{bmatrix}$, $\begin{bmatrix}9&0\\12&7\end{bmatrix}$, $\begin{bmatrix}11&0\\4&9\end{bmatrix}$ |
| 16.384.21.ba.1 |
16.384.21.24 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}3&4\\4&7\end{bmatrix}$, $\begin{bmatrix}5&0\\12&15\end{bmatrix}$, $\begin{bmatrix}13&12\\12&9\end{bmatrix}$, $\begin{bmatrix}15&0\\12&9\end{bmatrix}$ |
| 16.384.21.bb.1 |
16.384.21.10 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$8$ |
|
$2^{146}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}15&4\\8&1\end{bmatrix}$, $\begin{bmatrix}15&12\\12&15\end{bmatrix}$ |
| 16.384.21.bc.1 |
16.384.21.9 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$8$ |
|
$2^{146}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&8\\4&15\end{bmatrix}$, $\begin{bmatrix}11&8\\0&15\end{bmatrix}$, $\begin{bmatrix}13&0\\4&15\end{bmatrix}$, $\begin{bmatrix}15&4\\4&15\end{bmatrix}$ |
| 16.384.21.bd.1 |
16.384.21.12 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$8$ |
|
$2^{146}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&4\\12&1\end{bmatrix}$, $\begin{bmatrix}3&0\\8&15\end{bmatrix}$, $\begin{bmatrix}5&0\\12&15\end{bmatrix}$, $\begin{bmatrix}11&8\\12&1\end{bmatrix}$ |
| 16.384.21.be.1 |
16.384.21.11 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$8$ |
|
$2^{146}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&12\\8&15\end{bmatrix}$, $\begin{bmatrix}7&0\\4&1\end{bmatrix}$, $\begin{bmatrix}7&8\\8&15\end{bmatrix}$, $\begin{bmatrix}11&4\\8&1\end{bmatrix}$ |
| 16.384.21.bf.1 |
16.384.21.49 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&13\\0&15\end{bmatrix}$, $\begin{bmatrix}9&12\\2&11\end{bmatrix}$, $\begin{bmatrix}15&4\\14&13\end{bmatrix}$ |
| 16.384.21.bg.1 |
16.384.21.7 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$7$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{160}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&8\\1&9\end{bmatrix}$, $\begin{bmatrix}11&6\\10&5\end{bmatrix}$, $\begin{bmatrix}13&2\\14&11\end{bmatrix}$ |
| 16.384.21.bh.1 |
16.384.21.35 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}5&15\\0&11\end{bmatrix}$, $\begin{bmatrix}7&0\\8&15\end{bmatrix}$, $\begin{bmatrix}15&7\\6&1\end{bmatrix}$ |
| 16.384.21.bi.1 |
16.384.21.50 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&13\\5&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&7\end{bmatrix}$, $\begin{bmatrix}7&0\\0&7\end{bmatrix}$ |
| 16.384.21.bj.1 |
16.384.21.34 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$5 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{162}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&3\\8&15\end{bmatrix}$, $\begin{bmatrix}5&12\\4&9\end{bmatrix}$, $\begin{bmatrix}15&13\\8&1\end{bmatrix}$ |
| 16.384.21.bk.1 |
16.384.21.38 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}9&15\\8&7\end{bmatrix}$, $\begin{bmatrix}11&8\\8&3\end{bmatrix}$, $\begin{bmatrix}15&8\\4&3\end{bmatrix}$ |
| 16.384.21.bl.1 |
16.384.21.36 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}9&9\\10&15\end{bmatrix}$, $\begin{bmatrix}15&10\\10&13\end{bmatrix}$ |
| 16.384.21.bm.1 |
16.384.21.51 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$5 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{160}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\2&7\end{bmatrix}$, $\begin{bmatrix}5&0\\6&11\end{bmatrix}$, $\begin{bmatrix}5&13\\4&3\end{bmatrix}$ |
| 16.384.21.bn.1 |
16.384.21.52 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}9&4\\6&7\end{bmatrix}$, $\begin{bmatrix}13&13\\10&11\end{bmatrix}$, $\begin{bmatrix}15&3\\4&9\end{bmatrix}$ |
| 16.384.21.bo.1 |
16.384.21.6 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$7$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{162}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}0&11\\11&0\end{bmatrix}$, $\begin{bmatrix}0&13\\13&0\end{bmatrix}$, $\begin{bmatrix}12&11\\15&4\end{bmatrix}$ |
| 16.384.21.bp.1 |
16.384.21.37 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$5$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&1\\1&0\end{bmatrix}$, $\begin{bmatrix}0&3\\11&0\end{bmatrix}$, $\begin{bmatrix}0&15\\3&0\end{bmatrix}$ |
| 16.384.21.bq.1 |
16.384.21.8 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$8$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{160}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&10\\9&15\end{bmatrix}$, $\begin{bmatrix}5&12\\7&11\end{bmatrix}$ |
| 16.384.21.br.1 |
16.384.21.53 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$8$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{160}$ |
|
|
✓ |
$1^{15}\cdot2^{3}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&15\\6&9\end{bmatrix}$, $\begin{bmatrix}13&12\\14&3\end{bmatrix}$, $\begin{bmatrix}15&8\\8&7\end{bmatrix}$ |
| 16.384.21.bs.1 |
16.384.21.54 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$6$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&13\\7&0\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&0\\0&11\end{bmatrix}$ |
| 16.384.21.c.1 |
16.384.21.17 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{154}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&12\\12&15\end{bmatrix}$, $\begin{bmatrix}11&8\\4&9\end{bmatrix}$, $\begin{bmatrix}13&0\\4&7\end{bmatrix}$, $\begin{bmatrix}13&12\\4&1\end{bmatrix}$ |
| 16.384.21.d.1 |
16.384.21.20 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{154}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&0\\12&9\end{bmatrix}$, $\begin{bmatrix}11&0\\4&9\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}15&12\\4&15\end{bmatrix}$ |
| 16.384.21.e.1 |
16.384.21.19 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{154}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\0&7\end{bmatrix}$, $\begin{bmatrix}5&12\\8&7\end{bmatrix}$, $\begin{bmatrix}9&4\\12&1\end{bmatrix}$, $\begin{bmatrix}11&8\\12&9\end{bmatrix}$ |
| 16.384.21.f.1 |
16.384.21.29 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}3&12\\4&7\end{bmatrix}$, $\begin{bmatrix}7&4\\4&15\end{bmatrix}$, $\begin{bmatrix}9&8\\12&15\end{bmatrix}$, $\begin{bmatrix}11&0\\4&9\end{bmatrix}$ |
| 16.384.21.g.1 |
16.384.21.30 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&12\\8&7\end{bmatrix}$, $\begin{bmatrix}11&4\\8&9\end{bmatrix}$, $\begin{bmatrix}11&8\\8&7\end{bmatrix}$, $\begin{bmatrix}11&12\\12&7\end{bmatrix}$ |
| 16.384.21.h.1 |
16.384.21.31 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&4\\12&1\end{bmatrix}$, $\begin{bmatrix}5&0\\12&7\end{bmatrix}$, $\begin{bmatrix}13&0\\0&9\end{bmatrix}$, $\begin{bmatrix}15&8\\12&1\end{bmatrix}$ |
| 16.384.21.i.1 |
16.384.21.32 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&8\\12&7\end{bmatrix}$, $\begin{bmatrix}7&4\\8&1\end{bmatrix}$, $\begin{bmatrix}9&4\\0&15\end{bmatrix}$, $\begin{bmatrix}11&8\\0&7\end{bmatrix}$ |
| 16.384.21.j.1 |
16.384.21.47 |
|
16C21 |
|
|
$X_{\mathrm{sp}}(16)$ |
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$4$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$2$ |
$1$ |
|
$\begin{bmatrix}3&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}7&0\\0&9\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.j.2 |
16.384.21.46 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$2$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&14\\0&15\end{bmatrix}$, $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&4\\0&3\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.j.3 |
16.384.21.48 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$4$ |
$8$ |
$24$ |
$0$ |
|
$2^{142}$ |
|
|
✓ |
$1^{19}\cdot2$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}5&2\\8&15\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}11&2\\0&5\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.k.1 |
16.384.21.39 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$2$ |
$7 \le \gamma \le 8$ |
$24$ |
$2$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$2$ |
$1$ |
|
$\begin{bmatrix}1&12\\12&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&4\\4&9\end{bmatrix}$, $\begin{bmatrix}15&12\\12&13\end{bmatrix}$ |
| 16.384.21.k.2 |
16.384.21.42 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$2$ |
$7 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&4\\12&7\end{bmatrix}$, $\begin{bmatrix}5&8\\0&1\end{bmatrix}$, $\begin{bmatrix}15&12\\4&9\end{bmatrix}$, $\begin{bmatrix}15&12\\12&13\end{bmatrix}$ |
| 16.384.21.k.3 |
16.384.21.45 |
|
16A21 |
|
|
|
$16$ |
$384$ |
$21$ |
$2$ |
$7 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{144}$ |
|
|
✓ |
$1^{7}\cdot2^{7}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&0\\4&1\end{bmatrix}$, $\begin{bmatrix}5&4\\6&3\end{bmatrix}$, $\begin{bmatrix}11&4\\6&1\end{bmatrix}$, $\begin{bmatrix}11&12\\10&13\end{bmatrix}$ |
| 16.384.21.l.1 |
16.384.21.43 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$5 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{143}$ |
|
|
✓ |
$1^{9}\cdot2^{6}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&10\\0&15\end{bmatrix}$, $\begin{bmatrix}5&0\\0&13\end{bmatrix}$, $\begin{bmatrix}5&6\\0&15\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$ |
| 16.384.21.l.2 |
16.384.21.40 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$5 \le \gamma \le 8$ |
$24$ |
$2$ |
|
$2^{143}$ |
|
|
✓ |
$1^{9}\cdot2^{6}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&4\\0&15\end{bmatrix}$, $\begin{bmatrix}5&12\\0&7\end{bmatrix}$, $\begin{bmatrix}15&12\\0&1\end{bmatrix}$ |
| 16.384.21.l.3 |
16.384.21.41 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$5 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{143}$ |
|
|
✓ |
$1^{9}\cdot2^{6}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}7&12\\4&9\end{bmatrix}$, $\begin{bmatrix}9&4\\12&7\end{bmatrix}$, $\begin{bmatrix}15&12\\12&13\end{bmatrix}$ |
| 16.384.21.l.4 |
16.384.21.44 |
|
16C21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$5 \le \gamma \le 8$ |
$24$ |
$2$ |
|
$2^{143}$ |
|
|
✓ |
$1^{9}\cdot2^{6}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&2\\8&15\end{bmatrix}$, $\begin{bmatrix}7&2\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&15\end{bmatrix}$, $\begin{bmatrix}15&4\\8&11\end{bmatrix}$ |
| 16.384.21.m.1 |
16.384.21.3 |
|
16B21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2\cdot8^{2}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}11&12\\4&7\end{bmatrix}$, $\begin{bmatrix}13&12\\0&7\end{bmatrix}$, $\begin{bmatrix}13&12\\8&15\end{bmatrix}$, $\begin{bmatrix}15&8\\8&15\end{bmatrix}$ |
| 16.384.21.n.1 |
16.384.21.26 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}3&0\\8&7\end{bmatrix}$, $\begin{bmatrix}3&8\\8&9\end{bmatrix}$, $\begin{bmatrix}5&12\\4&7\end{bmatrix}$, $\begin{bmatrix}11&12\\4&9\end{bmatrix}$ |
| 16.384.21.o.1 |
16.384.21.25 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}7&8\\8&15\end{bmatrix}$, $\begin{bmatrix}7&8\\10&1\end{bmatrix}$, $\begin{bmatrix}9&0\\10&3\end{bmatrix}$, $\begin{bmatrix}13&12\\0&5\end{bmatrix}$ |
| 16.384.21.p.1 |
16.384.21.4 |
|
16B21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$6 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
|
✓ |
$1^{3}\cdot2\cdot8^{2}$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}1&10\\0&15\end{bmatrix}$, $\begin{bmatrix}7&8\\0&7\end{bmatrix}$, $\begin{bmatrix}9&4\\4&5\end{bmatrix}$, $\begin{bmatrix}15&14\\8&9\end{bmatrix}$ |
| 16.384.21.q.1 |
16.384.21.28 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}3&0\\4&9\end{bmatrix}$, $\begin{bmatrix}5&4\\4&1\end{bmatrix}$, $\begin{bmatrix}9&12\\0&7\end{bmatrix}$, $\begin{bmatrix}13&8\\0&9\end{bmatrix}$ |
| 16.384.21.r.1 |
16.384.21.27 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$0$ |
|
$2^{158}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$0$ |
✓ |
$\begin{bmatrix}5&0\\8&9\end{bmatrix}$, $\begin{bmatrix}7&4\\12&15\end{bmatrix}$, $\begin{bmatrix}15&4\\12&1\end{bmatrix}$, $\begin{bmatrix}15&8\\8&15\end{bmatrix}$ |
| 16.384.21.s.1 |
16.384.21.13 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{150}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&12\\12&7\end{bmatrix}$, $\begin{bmatrix}3&0\\0&15\end{bmatrix}$, $\begin{bmatrix}3&0\\8&9\end{bmatrix}$, $\begin{bmatrix}7&8\\0&9\end{bmatrix}$ |
| 16.384.21.t.1 |
16.384.21.1 |
|
16B21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$4 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{156}$ |
|
|
✓ |
$1^{3}\cdot2\cdot8^{2}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&10\\0&7\end{bmatrix}$, $\begin{bmatrix}7&0\\8&7\end{bmatrix}$, $\begin{bmatrix}7&12\\0&3\end{bmatrix}$, $\begin{bmatrix}7&14\\0&1\end{bmatrix}$, $\begin{bmatrix}9&0\\0&1\end{bmatrix}$ |
| 16.384.21.t.2 |
16.384.21.2 |
|
16B21 |
|
|
|
$16$ |
$384$ |
$21$ |
$0$ |
$4 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{156}$ |
|
|
✓ |
$1^{3}\cdot2\cdot8^{2}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&8\\8&1\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$, $\begin{bmatrix}9&8\\0&9\end{bmatrix}$, $\begin{bmatrix}9&8\\12&15\end{bmatrix}$, $\begin{bmatrix}15&8\\8&15\end{bmatrix}$ |
| 16.384.21.u.1 |
16.384.21.14 |
|
16E21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{150}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}7&8\\8&15\end{bmatrix}$, $\begin{bmatrix}9&4\\4&1\end{bmatrix}$, $\begin{bmatrix}11&4\\4&9\end{bmatrix}$, $\begin{bmatrix}13&8\\0&1\end{bmatrix}$ |
| 16.384.21.v.1 |
16.384.21.15 |
|
16D21 |
|
|
|
$16$ |
$384$ |
$21$ |
$1$ |
$4 \le \gamma \le 8$ |
$24$ |
$4$ |
|
$2^{150}$ |
|
✓ |
✓ |
$1^{3}\cdot2^{5}\cdot8$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&4\\8&7\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$, $\begin{bmatrix}13&8\\12&15\end{bmatrix}$, $\begin{bmatrix}15&12\\8&9\end{bmatrix}$ |
