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 |
10.60.1.a.1 |
10.60.1.1 |
|
10J1 |
|
|
|
$10$ |
$60$ |
$1$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&8\\7&9\end{bmatrix}$, $\begin{bmatrix}7&1\\9&6\end{bmatrix}$ |
10.60.2.a.1 |
10.60.2.2 |
|
10D2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}7&3\\8&1\end{bmatrix}$, $\begin{bmatrix}9&5\\0&9\end{bmatrix}$ |
10.60.2.b.1 |
10.60.2.1 |
|
10D2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$8$ |
$0$ |
|
$2^{2}\cdot5^{4}$ |
|
|
✓ |
$1^{2}$ |
$3$ |
$0$ |
✓ |
$\begin{bmatrix}1&1\\2&9\end{bmatrix}$, $\begin{bmatrix}1&3\\8&5\end{bmatrix}$ |
10.60.2.c.1 |
10.60.2.3 |
|
10C2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{4}\cdot5^{4}$ |
✓ |
✓ |
✓ |
$2$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&1\\0&3\end{bmatrix}$, $\begin{bmatrix}2&3\\5&8\end{bmatrix}$ |
10.60.2.d.1 |
10.60.2.6 |
|
10E2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{2}\cdot5^{4}$ |
|
|
✓ |
$1^{2}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&1\\6&1\end{bmatrix}$, $\begin{bmatrix}3&5\\4&7\end{bmatrix}$ |
10.60.2.e.1 |
10.60.2.5 |
|
10E2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{2}\cdot5^{4}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$2$ |
|
$\begin{bmatrix}1&5\\4&9\end{bmatrix}$, $\begin{bmatrix}9&2\\8&7\end{bmatrix}$ |
10.60.2.f.1 |
10.60.2.4 |
|
10C2 |
|
|
|
$10$ |
$60$ |
$2$ |
$0$ |
$2$ |
$6$ |
$0$ |
✓ |
$2^{4}\cdot5^{3}$ |
|
✓ |
✓ |
$1^{2}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}4&3\\7&1\end{bmatrix}$, $\begin{bmatrix}6&9\\3&4\end{bmatrix}$ |
10.60.3.a.1 |
10.60.3.1 |
|
10A3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{6}$ |
|
|
✓ |
$1^{3}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}3&2\\2&7\end{bmatrix}$, $\begin{bmatrix}7&8\\8&1\end{bmatrix}$ |
10.60.3.b.1 |
10.60.3.2 |
|
10B3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{6}\cdot5^{4}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}7&8\\0&3\end{bmatrix}$, $\begin{bmatrix}8&9\\5&1\end{bmatrix}$ |
10.60.3.c.1 |
10.60.3.4 |
|
10B3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{6}\cdot5^{5}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}6&1\\1&9\end{bmatrix}$, $\begin{bmatrix}8&9\\5&7\end{bmatrix}$ |
10.60.3.d.1 |
10.60.3.3 |
|
10B3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$2$ |
$6$ |
$2$ |
|
$2^{6}\cdot5^{5}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$1$ |
|
$\begin{bmatrix}1&3\\0&7\end{bmatrix}$, $\begin{bmatrix}2&5\\5&7\end{bmatrix}$ |
10.60.3.e.1 |
10.60.3.6 |
|
10A3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$3 \le \gamma \le 4$ |
$6$ |
$0$ |
|
$2^{4}\cdot5^{5}$ |
|
✓ |
✓ |
$1^{3}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}3&1\\6&1\end{bmatrix}$, $\begin{bmatrix}5&8\\2&5\end{bmatrix}$ |
10.60.3.f.1 |
10.60.3.5 |
|
10B3 |
|
|
|
$10$ |
$60$ |
$3$ |
$0$ |
$2$ |
$6$ |
$0$ |
|
$2^{6}\cdot5^{4}$ |
|
|
✓ |
$1^{3}$ |
$3$ |
$0$ |
? |
$\begin{bmatrix}3&9\\5&2\end{bmatrix}$, $\begin{bmatrix}7&9\\2&3\end{bmatrix}$ |