| 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 |
| 40.72.3.a.1 |
40.72.3.1 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&4\\32&5\end{bmatrix}$, $\begin{bmatrix}3&38\\4&27\end{bmatrix}$, $\begin{bmatrix}9&8\\0&17\end{bmatrix}$, $\begin{bmatrix}15&36\\32&39\end{bmatrix}$, $\begin{bmatrix}31&16\\18&29\end{bmatrix}$, $\begin{bmatrix}31&18\\24&15\end{bmatrix}$ |
| 40.72.3.b.1 |
40.72.3.2 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}9&14\\12&1\end{bmatrix}$, $\begin{bmatrix}31&8\\4&5\end{bmatrix}$, $\begin{bmatrix}31&18\\8&21\end{bmatrix}$, $\begin{bmatrix}35&18\\14&9\end{bmatrix}$, $\begin{bmatrix}35&26\\18&3\end{bmatrix}$, $\begin{bmatrix}35&34\\24&35\end{bmatrix}$ |
| 40.72.3.c.1 |
40.72.3.43 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$2$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&28\\8&21\end{bmatrix}$, $\begin{bmatrix}11&26\\38&19\end{bmatrix}$, $\begin{bmatrix}13&4\\6&11\end{bmatrix}$, $\begin{bmatrix}21&18\\14&15\end{bmatrix}$, $\begin{bmatrix}25&16\\36&15\end{bmatrix}$, $\begin{bmatrix}27&14\\18&3\end{bmatrix}$ |
| 40.72.3.d.1 |
40.72.3.44 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}21&32\\12&1\end{bmatrix}$, $\begin{bmatrix}23&36\\16&33\end{bmatrix}$, $\begin{bmatrix}31&6\\10&17\end{bmatrix}$, $\begin{bmatrix}37&0\\4&23\end{bmatrix}$, $\begin{bmatrix}37&6\\28&5\end{bmatrix}$, $\begin{bmatrix}39&12\\16&35\end{bmatrix}$ |
| 40.72.3.e.1 |
40.72.3.48 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&0\\36&37\end{bmatrix}$, $\begin{bmatrix}7&24\\10&1\end{bmatrix}$, $\begin{bmatrix}29&14\\0&33\end{bmatrix}$, $\begin{bmatrix}33&24\\32&15\end{bmatrix}$, $\begin{bmatrix}35&26\\26&35\end{bmatrix}$, $\begin{bmatrix}37&34\\6&15\end{bmatrix}$ |
| 40.72.3.e.2 |
40.72.3.47 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&36\\34&5\end{bmatrix}$, $\begin{bmatrix}9&8\\8&19\end{bmatrix}$, $\begin{bmatrix}15&14\\22&17\end{bmatrix}$, $\begin{bmatrix}17&10\\4&13\end{bmatrix}$, $\begin{bmatrix}23&34\\22&5\end{bmatrix}$, $\begin{bmatrix}29&18\\30&37\end{bmatrix}$ |
| 40.72.3.f.1 |
40.72.3.45 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&36\\32&15\end{bmatrix}$, $\begin{bmatrix}3&34\\34&13\end{bmatrix}$, $\begin{bmatrix}9&14\\26&37\end{bmatrix}$, $\begin{bmatrix}11&8\\20&29\end{bmatrix}$, $\begin{bmatrix}27&34\\4&17\end{bmatrix}$, $\begin{bmatrix}31&2\\20&33\end{bmatrix}$ |
| 40.72.3.f.2 |
40.72.3.46 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&34\\4&23\end{bmatrix}$, $\begin{bmatrix}11&22\\38&15\end{bmatrix}$, $\begin{bmatrix}13&20\\12&31\end{bmatrix}$, $\begin{bmatrix}15&2\\6&11\end{bmatrix}$, $\begin{bmatrix}25&38\\16&27\end{bmatrix}$, $\begin{bmatrix}37&32\\0&19\end{bmatrix}$ |
| 40.72.3.g.1 |
40.72.3.13 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}13&5\\26&37\end{bmatrix}$, $\begin{bmatrix}19&12\\36&35\end{bmatrix}$, $\begin{bmatrix}27&25\\20&27\end{bmatrix}$, $\begin{bmatrix}35&28\\32&11\end{bmatrix}$, $\begin{bmatrix}35&36\\16&35\end{bmatrix}$ |
| 40.72.3.h.1 |
40.72.3.8 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}3&35\\24&39\end{bmatrix}$, $\begin{bmatrix}23&10\\32&31\end{bmatrix}$, $\begin{bmatrix}27&14\\0&1\end{bmatrix}$, $\begin{bmatrix}33&1\\12&17\end{bmatrix}$, $\begin{bmatrix}37&17\\24&35\end{bmatrix}$, $\begin{bmatrix}39&34\\8&5\end{bmatrix}$ |
| 40.72.3.i.1 |
40.72.3.187 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}9&33\\20&27\end{bmatrix}$, $\begin{bmatrix}23&8\\34&37\end{bmatrix}$, $\begin{bmatrix}27&12\\20&9\end{bmatrix}$, $\begin{bmatrix}35&11\\26&15\end{bmatrix}$ |
| 40.72.3.j.1 |
40.72.3.171 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&21\\2&19\end{bmatrix}$, $\begin{bmatrix}11&23\\34&15\end{bmatrix}$, $\begin{bmatrix}13&1\\32&27\end{bmatrix}$, $\begin{bmatrix}31&2\\22&11\end{bmatrix}$ |
| 40.72.3.k.1 |
40.72.3.201 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&23\\28&5\end{bmatrix}$, $\begin{bmatrix}25&1\\18&33\end{bmatrix}$, $\begin{bmatrix}25&17\\34&23\end{bmatrix}$, $\begin{bmatrix}33&16\\22&27\end{bmatrix}$ |
| 40.72.3.k.2 |
40.72.3.214 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&33\\10&39\end{bmatrix}$, $\begin{bmatrix}5&24\\2&7\end{bmatrix}$, $\begin{bmatrix}9&29\\32&21\end{bmatrix}$, $\begin{bmatrix}27&9\\36&25\end{bmatrix}$ |
| 40.72.3.l.1 |
40.72.3.227 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{12}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&27\\8&5\end{bmatrix}$, $\begin{bmatrix}5&26\\22&9\end{bmatrix}$, $\begin{bmatrix}11&36\\14&33\end{bmatrix}$, $\begin{bmatrix}13&6\\26&3\end{bmatrix}$ |
| 40.72.3.l.2 |
40.72.3.240 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{12}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}7&1\\24&9\end{bmatrix}$, $\begin{bmatrix}19&15\\18&1\end{bmatrix}$, $\begin{bmatrix}25&21\\14&37\end{bmatrix}$, $\begin{bmatrix}37&22\\0&29\end{bmatrix}$ |
| 40.72.3.m.1 |
40.72.3.57 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$2$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}11&33\\12&17\end{bmatrix}$, $\begin{bmatrix}23&3\\0&1\end{bmatrix}$, $\begin{bmatrix}29&7\\20&21\end{bmatrix}$, $\begin{bmatrix}35&18\\6&7\end{bmatrix}$ |
| 40.72.3.m.2 |
40.72.3.61 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$2$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}9&10\\0&19\end{bmatrix}$, $\begin{bmatrix}27&12\\10&9\end{bmatrix}$, $\begin{bmatrix}29&5\\8&1\end{bmatrix}$, $\begin{bmatrix}39&38\\2&35\end{bmatrix}$ |
| 40.72.3.n.1 |
40.72.3.65 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}5&4\\18&31\end{bmatrix}$, $\begin{bmatrix}9&34\\2&21\end{bmatrix}$, $\begin{bmatrix}13&14\\0&7\end{bmatrix}$, $\begin{bmatrix}23&29\\4&13\end{bmatrix}$ |
| 40.72.3.n.2 |
40.72.3.69 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}7&14\\10&11\end{bmatrix}$, $\begin{bmatrix}19&20\\30&9\end{bmatrix}$, $\begin{bmatrix}23&4\\2&5\end{bmatrix}$, $\begin{bmatrix}25&29\\32&7\end{bmatrix}$ |
| 40.72.3.o.1 |
40.72.3.179 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{15}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}3&10\\0&3\end{bmatrix}$, $\begin{bmatrix}5&11\\26&15\end{bmatrix}$, $\begin{bmatrix}7&36\\6&37\end{bmatrix}$, $\begin{bmatrix}17&32\\14&25\end{bmatrix}$ |
| 40.72.3.p.1 |
40.72.3.163 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$3$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&9\\26&3\end{bmatrix}$, $\begin{bmatrix}7&9\\8&33\end{bmatrix}$, $\begin{bmatrix}23&9\\36&21\end{bmatrix}$, $\begin{bmatrix}27&32\\24&25\end{bmatrix}$ |
| 40.72.3.q.1 |
40.72.3.12 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$2^{15}\cdot5^{3}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}9&10\\16&33\end{bmatrix}$, $\begin{bmatrix}23&19\\26&11\end{bmatrix}$, $\begin{bmatrix}29&29\\2&11\end{bmatrix}$, $\begin{bmatrix}29&34\\28&5\end{bmatrix}$, $\begin{bmatrix}39&9\\6&37\end{bmatrix}$ |
| 40.72.3.r.1 |
40.72.3.23 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&1\\6&33\end{bmatrix}$, $\begin{bmatrix}11&11\\2&25\end{bmatrix}$, $\begin{bmatrix}17&35\\30&7\end{bmatrix}$, $\begin{bmatrix}19&8\\22&25\end{bmatrix}$, $\begin{bmatrix}21&17\\2&11\end{bmatrix}$, $\begin{bmatrix}29&10\\0&29\end{bmatrix}$ |
| 40.72.3.s.1 |
40.72.3.25 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}11&27\\12&1\end{bmatrix}$, $\begin{bmatrix}13&5\\12&31\end{bmatrix}$, $\begin{bmatrix}27&6\\24&19\end{bmatrix}$, $\begin{bmatrix}33&20\\14&29\end{bmatrix}$, $\begin{bmatrix}33&33\\32&39\end{bmatrix}$ |
| 40.72.3.t.1 |
40.72.3.14 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}5&13\\18&25\end{bmatrix}$, $\begin{bmatrix}7&0\\26&1\end{bmatrix}$, $\begin{bmatrix}15&22\\32&15\end{bmatrix}$, $\begin{bmatrix}15&39\\4&15\end{bmatrix}$, $\begin{bmatrix}31&12\\28&15\end{bmatrix}$ |
| 40.72.3.u.1 |
40.72.3.11 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{15}\cdot5^{3}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}3&25\\26&37\end{bmatrix}$, $\begin{bmatrix}17&39\\34&27\end{bmatrix}$, $\begin{bmatrix}25&6\\24&17\end{bmatrix}$, $\begin{bmatrix}25&17\\6&1\end{bmatrix}$, $\begin{bmatrix}25&27\\18&9\end{bmatrix}$ |
| 40.72.3.v.1 |
40.72.3.155 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}11&26\\22&15\end{bmatrix}$, $\begin{bmatrix}23&9\\2&15\end{bmatrix}$, $\begin{bmatrix}25&13\\22&1\end{bmatrix}$, $\begin{bmatrix}31&8\\10&19\end{bmatrix}$, $\begin{bmatrix}37&25\\36&11\end{bmatrix}$ |
| 40.72.3.w.1 |
40.72.3.188 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&7\\12&31\end{bmatrix}$, $\begin{bmatrix}3&13\\14&27\end{bmatrix}$, $\begin{bmatrix}3&23\\30&21\end{bmatrix}$, $\begin{bmatrix}19&35\\36&13\end{bmatrix}$ |
| 40.72.3.x.1 |
40.72.3.180 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{15}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}5&37\\18&19\end{bmatrix}$, $\begin{bmatrix}21&35\\4&27\end{bmatrix}$, $\begin{bmatrix}23&26\\32&17\end{bmatrix}$, $\begin{bmatrix}31&22\\4&9\end{bmatrix}$ |
| 40.72.3.y.1 |
40.72.3.159 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&11\\2&5\end{bmatrix}$, $\begin{bmatrix}1&27\\32&11\end{bmatrix}$, $\begin{bmatrix}3&9\\20&17\end{bmatrix}$, $\begin{bmatrix}17&1\\38&5\end{bmatrix}$, $\begin{bmatrix}29&28\\6&21\end{bmatrix}$ |
| 40.72.3.y.2 |
40.72.3.160 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}9&19\\38&5\end{bmatrix}$, $\begin{bmatrix}19&17\\20&21\end{bmatrix}$, $\begin{bmatrix}23&6\\16&23\end{bmatrix}$, $\begin{bmatrix}29&27\\28&3\end{bmatrix}$, $\begin{bmatrix}31&8\\22&27\end{bmatrix}$ |
| 40.72.3.z.1 |
40.72.3.203 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}9&28\\22&25\end{bmatrix}$, $\begin{bmatrix}11&13\\22&17\end{bmatrix}$, $\begin{bmatrix}31&8\\34&15\end{bmatrix}$, $\begin{bmatrix}33&24\\16&31\end{bmatrix}$ |
| 40.72.3.z.2 |
40.72.3.216 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&18\\14&35\end{bmatrix}$, $\begin{bmatrix}25&32\\12&15\end{bmatrix}$, $\begin{bmatrix}27&20\\28&29\end{bmatrix}$, $\begin{bmatrix}31&1\\4&23\end{bmatrix}$ |
| 40.72.3.ba.1 |
40.72.3.62 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}5&37\\22&5\end{bmatrix}$, $\begin{bmatrix}11&30\\20&21\end{bmatrix}$, $\begin{bmatrix}15&12\\36&31\end{bmatrix}$, $\begin{bmatrix}37&29\\8&33\end{bmatrix}$ |
| 40.72.3.ba.2 |
40.72.3.58 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$2$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}13&6\\12&27\end{bmatrix}$, $\begin{bmatrix}17&0\\18&39\end{bmatrix}$, $\begin{bmatrix}25&27\\38&39\end{bmatrix}$, $\begin{bmatrix}29&38\\2&15\end{bmatrix}$ |
| 40.72.3.bb.1 |
40.72.3.158 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}9&33\\22&5\end{bmatrix}$, $\begin{bmatrix}15&8\\8&35\end{bmatrix}$, $\begin{bmatrix}25&26\\26&25\end{bmatrix}$, $\begin{bmatrix}27&5\\38&39\end{bmatrix}$, $\begin{bmatrix}37&30\\6&1\end{bmatrix}$ |
| 40.72.3.bb.2 |
40.72.3.157 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}1&0\\22&29\end{bmatrix}$, $\begin{bmatrix}1&21\\0&7\end{bmatrix}$, $\begin{bmatrix}5&33\\18&5\end{bmatrix}$, $\begin{bmatrix}15&39\\24&25\end{bmatrix}$, $\begin{bmatrix}25&12\\34&13\end{bmatrix}$ |
| 40.72.3.bc.1 |
40.72.3.238 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{12}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}7&0\\10&17\end{bmatrix}$, $\begin{bmatrix}11&20\\28&13\end{bmatrix}$, $\begin{bmatrix}39&25\\38&31\end{bmatrix}$, $\begin{bmatrix}39&32\\16&15\end{bmatrix}$ |
| 40.72.3.bc.2 |
40.72.3.225 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{12}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}11&22\\38&15\end{bmatrix}$, $\begin{bmatrix}25&17\\8&19\end{bmatrix}$, $\begin{bmatrix}33&19\\0&37\end{bmatrix}$, $\begin{bmatrix}35&19\\8&31\end{bmatrix}$ |
| 40.72.3.bd.1 |
40.72.3.66 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&13\\32&39\end{bmatrix}$, $\begin{bmatrix}17&0\\4&23\end{bmatrix}$, $\begin{bmatrix}19&29\\26&37\end{bmatrix}$, $\begin{bmatrix}25&27\\34&3\end{bmatrix}$ |
| 40.72.3.bd.2 |
40.72.3.70 |
|
20I3 |
|
|
|
$40$ |
$72$ |
$3$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{18}\cdot5^{3}$ |
|
✓ |
✓ |
$1\cdot2$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}9&28\\26&1\end{bmatrix}$, $\begin{bmatrix}15&19\\14&35\end{bmatrix}$, $\begin{bmatrix}17&21\\30&3\end{bmatrix}$, $\begin{bmatrix}23&23\\16&5\end{bmatrix}$ |
| 40.72.3.be.1 |
40.72.3.156 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}13&31\\24&15\end{bmatrix}$, $\begin{bmatrix}17&35\\18&9\end{bmatrix}$, $\begin{bmatrix}23&9\\32&25\end{bmatrix}$, $\begin{bmatrix}23&13\\0&1\end{bmatrix}$, $\begin{bmatrix}27&22\\4&15\end{bmatrix}$ |
| 40.72.3.bf.1 |
40.72.3.172 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}5&27\\26&31\end{bmatrix}$, $\begin{bmatrix}7&34\\28&33\end{bmatrix}$, $\begin{bmatrix}27&0\\24&13\end{bmatrix}$, $\begin{bmatrix}31&25\\32&29\end{bmatrix}$ |
| 40.72.3.bg.1 |
40.72.3.164 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}5&39\\22&17\end{bmatrix}$, $\begin{bmatrix}21&20\\30&11\end{bmatrix}$, $\begin{bmatrix}35&13\\26&7\end{bmatrix}$, $\begin{bmatrix}39&2\\16&25\end{bmatrix}$ |
| 40.72.3.bh.1 |
40.72.3.26 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$2$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&38\\20&9\end{bmatrix}$, $\begin{bmatrix}3&30\\14&19\end{bmatrix}$, $\begin{bmatrix}17&32\\26&13\end{bmatrix}$, $\begin{bmatrix}25&9\\4&15\end{bmatrix}$, $\begin{bmatrix}39&32\\16&15\end{bmatrix}$ |
| 40.72.3.bi.1 |
40.72.3.7 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$4$ |
|
$2^{14}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}9&28\\36&31\end{bmatrix}$, $\begin{bmatrix}13&29\\12&5\end{bmatrix}$, $\begin{bmatrix}17&39\\16&35\end{bmatrix}$, $\begin{bmatrix}25&1\\28&23\end{bmatrix}$, $\begin{bmatrix}27&5\\36&21\end{bmatrix}$, $\begin{bmatrix}33&23\\0&21\end{bmatrix}$ |
| 40.72.3.bj.1 |
40.72.3.24 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$2$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&5\\10&13\end{bmatrix}$, $\begin{bmatrix}9&0\\30&39\end{bmatrix}$, $\begin{bmatrix}23&5\\22&21\end{bmatrix}$, $\begin{bmatrix}27&14\\0&11\end{bmatrix}$, $\begin{bmatrix}31&36\\18&9\end{bmatrix}$, $\begin{bmatrix}35&38\\8&35\end{bmatrix}$ |
| 40.72.3.bk.1 |
40.72.3.119 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{16}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}11&33\\38&11\end{bmatrix}$, $\begin{bmatrix}21&12\\10&3\end{bmatrix}$, $\begin{bmatrix}23&3\\4&7\end{bmatrix}$, $\begin{bmatrix}27&16\\4&19\end{bmatrix}$, $\begin{bmatrix}31&22\\38&25\end{bmatrix}$ |
| 40.72.3.bl.1 |
40.72.3.49 |
|
20J3 |
|
|
|
$40$ |
$72$ |
$3$ |
$1$ |
$4$ |
$8$ |
$0$ |
|
$2^{14}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}7&27\\30&9\end{bmatrix}$, $\begin{bmatrix}17&39\\24&17\end{bmatrix}$, $\begin{bmatrix}29&4\\36&37\end{bmatrix}$, $\begin{bmatrix}31&38\\32&17\end{bmatrix}$ |
