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 |
16.24.1.a.1 |
16.24.1.1 |
X159 |
16A1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{6}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&1\\8&9\end{bmatrix}$, $\begin{bmatrix}3&12\\8&1\end{bmatrix}$, $\begin{bmatrix}7&9\\8&7\end{bmatrix}$, $\begin{bmatrix}9&7\\8&7\end{bmatrix}$, $\begin{bmatrix}11&10\\0&5\end{bmatrix}$ |
16.24.1.b.1 |
16.24.1.2 |
X168 |
16A1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$4$ |
$4$ |
|
$2^{5}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&4\\8&13\end{bmatrix}$, $\begin{bmatrix}3&12\\0&7\end{bmatrix}$, $\begin{bmatrix}7&12\\0&3\end{bmatrix}$, $\begin{bmatrix}9&4\\0&13\end{bmatrix}$, $\begin{bmatrix}13&13\\0&7\end{bmatrix}$ |
16.24.1.c.1 |
16.24.1.3 |
X157 |
16A1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{6}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&4\\8&11\end{bmatrix}$, $\begin{bmatrix}5&15\\12&5\end{bmatrix}$, $\begin{bmatrix}7&0\\0&3\end{bmatrix}$, $\begin{bmatrix}11&4\\8&1\end{bmatrix}$ |
16.24.1.d.1 |
16.24.1.4 |
X158 |
16A1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
✓ |
$2^{5}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}1&8\\8&3\end{bmatrix}$, $\begin{bmatrix}9&1\\12&11\end{bmatrix}$, $\begin{bmatrix}11&12\\0&13\end{bmatrix}$, $\begin{bmatrix}15&10\\8&7\end{bmatrix}$ |
16.24.1.e.1 |
16.24.1.14 |
X149 |
16C1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}3&2\\2&9\end{bmatrix}$, $\begin{bmatrix}3&4\\14&9\end{bmatrix}$, $\begin{bmatrix}5&11\\14&15\end{bmatrix}$, $\begin{bmatrix}13&7\\2&7\end{bmatrix}$ |
16.24.1.e.2 |
16.24.1.16 |
X151 |
16C1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}7&5\\10&13\end{bmatrix}$, $\begin{bmatrix}11&15\\8&5\end{bmatrix}$, $\begin{bmatrix}13&9\\12&11\end{bmatrix}$, $\begin{bmatrix}13&11\\12&11\end{bmatrix}$ |
16.24.1.f.1 |
16.24.1.11 |
X166 |
8D1 |
8D1-16b |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$6$ |
|
$\begin{bmatrix}5&2\\8&9\end{bmatrix}$, $\begin{bmatrix}5&9\\8&11\end{bmatrix}$, $\begin{bmatrix}7&7\\10&9\end{bmatrix}$, $\begin{bmatrix}9&11\\2&11\end{bmatrix}$ |
16.24.1.f.2 |
16.24.1.10 |
X165 |
8D1 |
8D1-16c |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}1&3\\10&3\end{bmatrix}$, $\begin{bmatrix}3&3\\2&13\end{bmatrix}$, $\begin{bmatrix}7&5\\12&1\end{bmatrix}$, $\begin{bmatrix}15&12\\14&9\end{bmatrix}$ |
16.24.1.g.1 |
16.24.1.12 |
X161 |
8D1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}3&3\\8&5\end{bmatrix}$, $\begin{bmatrix}5&14\\4&1\end{bmatrix}$, $\begin{bmatrix}9&8\\14&7\end{bmatrix}$, $\begin{bmatrix}11&10\\2&13\end{bmatrix}$ |
16.24.1.g.2 |
16.24.1.9 |
X160 |
8D1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}3&8\\2&5\end{bmatrix}$, $\begin{bmatrix}7&5\\14&5\end{bmatrix}$, $\begin{bmatrix}7&9\\8&5\end{bmatrix}$, $\begin{bmatrix}9&13\\14&7\end{bmatrix}$ |
16.24.1.h.1 |
16.24.1.15 |
X153 |
16C1 |
16C1-16d |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$6$ |
|
$\begin{bmatrix}11&8\\6&1\end{bmatrix}$, $\begin{bmatrix}13&7\\0&3\end{bmatrix}$, $\begin{bmatrix}15&3\\4&1\end{bmatrix}$, $\begin{bmatrix}15&11\\6&1\end{bmatrix}$ |
16.24.1.h.2 |
16.24.1.13 |
X150 |
16C1 |
16C1-16c |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$3$ |
$1$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}1&2\\0&9\end{bmatrix}$, $\begin{bmatrix}1&2\\2&15\end{bmatrix}$, $\begin{bmatrix}3&14\\2&1\end{bmatrix}$, $\begin{bmatrix}13&11\\6&15\end{bmatrix}$ |
16.24.1.i.1 |
16.24.1.6 |
X163 |
16D1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{7}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&15\\2&5\end{bmatrix}$, $\begin{bmatrix}3&10\\12&7\end{bmatrix}$, $\begin{bmatrix}7&10\\12&11\end{bmatrix}$, $\begin{bmatrix}9&2\\0&7\end{bmatrix}$ |
16.24.1.j.1 |
16.24.1.8 |
X164 |
16D1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{7}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&2\\0&5\end{bmatrix}$, $\begin{bmatrix}11&1\\6&11\end{bmatrix}$, $\begin{bmatrix}11&6\\0&1\end{bmatrix}$, $\begin{bmatrix}11&6\\4&11\end{bmatrix}$ |
16.24.1.k.1 |
16.24.1.7 |
X162 |
16D1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{7}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}5&5\\6&13\end{bmatrix}$, $\begin{bmatrix}9&8\\12&7\end{bmatrix}$, $\begin{bmatrix}11&8\\0&11\end{bmatrix}$, $\begin{bmatrix}15&12\\0&3\end{bmatrix}$ |
16.24.1.l.1 |
16.24.1.5 |
X167 |
16D1 |
16D1-16d |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$2$ |
$2$ |
|
$2^{7}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}1&2\\8&7\end{bmatrix}$, $\begin{bmatrix}1&15\\2&11\end{bmatrix}$, $\begin{bmatrix}3&6\\4&15\end{bmatrix}$, $\begin{bmatrix}7&4\\8&3\end{bmatrix}$ |
16.24.1.m.1 |
16.24.1.18 |
X152 |
16B1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}3&10\\12&3\end{bmatrix}$, $\begin{bmatrix}3&14\\14&1\end{bmatrix}$, $\begin{bmatrix}7&6\\10&1\end{bmatrix}$, $\begin{bmatrix}7&11\\0&9\end{bmatrix}$ |
16.24.1.m.2 |
16.24.1.20 |
X154 |
16B1 |
|
|
|
$16$ |
$24$ |
$1$ |
$0$ |
$2$ |
$2$ |
$2$ |
|
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&15\\12&3\end{bmatrix}$, $\begin{bmatrix}5&3\\0&7\end{bmatrix}$, $\begin{bmatrix}5&7\\14&3\end{bmatrix}$, $\begin{bmatrix}9&1\\14&15\end{bmatrix}$ |
16.24.1.n.1 |
16.24.1.19 |
X156 |
16B1 |
16B1-16a |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$2$ |
$2$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}5&11\\0&15\end{bmatrix}$, $\begin{bmatrix}5&12\\4&1\end{bmatrix}$, $\begin{bmatrix}7&13\\14&1\end{bmatrix}$, $\begin{bmatrix}15&14\\0&3\end{bmatrix}$ |
16.24.1.n.2 |
16.24.1.17 |
X155 |
16B1 |
16B1-16c |
|
|
$16$ |
$24$ |
$1$ |
$1$ |
$2$ |
$2$ |
$2$ |
✓ |
$2^{8}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$5$ |
|
$\begin{bmatrix}5&4\\4&9\end{bmatrix}$, $\begin{bmatrix}7&10\\0&11\end{bmatrix}$, $\begin{bmatrix}7&14\\10&1\end{bmatrix}$, $\begin{bmatrix}13&7\\0&7\end{bmatrix}$ |