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 |
13.546.24.a.1 |
13.546.24.1 |
|
13A24 |
|
13Cs.5.1 |
|
$13$ |
$546$ |
$24$ |
$3$ |
$8 \le \gamma \le 13$ |
$42$ |
$3$ |
|
$13^{48}$ |
|
✓ |
✓ |
$2\cdot3^{2}\cdot4\cdot6^{2}$ |
$1$ |
$1$ |
|
$\begin{bmatrix}8&0\\0&8\end{bmatrix}$, $\begin{bmatrix}11&0\\0&12\end{bmatrix}$ |
13.546.24.b.1 |
13.546.24.2 |
|
13A24 |
|
13Cs.5.4 |
|
$13$ |
$546$ |
$24$ |
$9$ |
$10 \le \gamma \le 13$ |
$42$ |
$0$ |
|
$13^{48}$ |
|
|
✓ |
$2^{3}\cdot3^{6}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}6&0\\0&7\end{bmatrix}$ |
13.546.24.c.1 |
13.546.24.3 |
|
13A24 |
|
13Ns.5.2 |
|
$13$ |
$546$ |
$24$ |
$12$ |
$10 \le \gamma \le 18$ |
$42$ |
$0$ |
|
$13^{48}$ |
|
|
✓ |
$2^{3}\cdot3^{6}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&3\\8&0\end{bmatrix}$, $\begin{bmatrix}0&7\\3&0\end{bmatrix}$ |
13.1092.50.a.1 |
13.1092.50.2 |
|
|
|
13Cs.12.3 |
|
$13$ |
$1092$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{98}$ |
|
|
✓ |
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&8\end{bmatrix}$, $\begin{bmatrix}12&0\\0&1\end{bmatrix}$ |
13.1092.50.b.1 |
13.1092.50.1 |
|
|
|
13Cs.12.1 |
|
$13$ |
$1092$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$6$ |
|
$13^{96}$ |
|
|
✓ |
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&12\end{bmatrix}$, $\begin{bmatrix}2&0\\0&1\end{bmatrix}$ |
13.1092.50.c.1 |
13.1092.50.3 |
|
|
|
13Cs.12.4 |
|
$13$ |
$1092$ |
$50$ |
$9$ |
$19 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{100}$ |
|
|
✓ |
$2^{7}\cdot3^{6}\cdot6^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}6&0\\0&4\end{bmatrix}$, $\begin{bmatrix}12&0\\0&12\end{bmatrix}$ |
13.1092.50.d.1 |
13.1092.50.4 |
|
|
|
13Cn.0.1 |
|
$13$ |
$1092$ |
$50$ |
$21$ |
$19 \le \gamma \le 36$ |
$84$ |
$0$ |
|
$13^{100}$ |
|
|
✓ |
$2^{7}\cdot3^{12}$ |
|
$0$ |
✓ |
$\begin{bmatrix}0&5\\3&0\end{bmatrix}$ |
13.2184.50-13.a.1.1 |
13.2184.50.5 |
|
|
|
13Cs.1.8 |
|
$13$ |
$2184$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{98}$ |
|
|
|
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&0\\0&5\end{bmatrix}$ |
13.2184.50-13.a.1.2 |
13.2184.50.2 |
|
|
|
13Cs.1.3 |
|
$13$ |
$2184$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{98}$ |
|
|
|
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&8\end{bmatrix}$ |
13.2184.50-13.b.1.1 |
13.2184.50.1 |
|
|
|
13Cs.1.1 |
$X_{\mathrm{arith}}(13)$ |
$13$ |
$2184$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$6$ |
|
$13^{96}$ |
|
|
|
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$ |
13.2184.50-13.b.1.2 |
13.2184.50.4 |
|
|
|
13Cs.1.11 |
|
$13$ |
$2184$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$6$ |
|
$13^{96}$ |
|
|
|
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&12\end{bmatrix}$ |
13.2184.50-13.c.1.1 |
13.2184.50.3 |
|
|
|
13Cs.1.6 |
|
$13$ |
$2184$ |
$50$ |
$9$ |
$19 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{100}$ |
|
|
|
$2^{7}\cdot3^{6}\cdot6^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}6&0\\0&9\end{bmatrix}$ |
13.2184.50-13.c.1.2 |
13.2184.50.6 |
|
|
|
13Cs.1.4 |
|
$13$ |
$2184$ |
$50$ |
$9$ |
$19 \le \gamma \le 26$ |
$84$ |
$0$ |
|
$13^{100}$ |
|
|
|
$2^{7}\cdot3^{6}\cdot6^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}6&0\\0&4\end{bmatrix}$ |
14.504.23.a.1 |
14.504.23.1 |
|
14A23 |
|
|
|
$14$ |
$504$ |
$23$ |
$2$ |
$9 \le \gamma \le 12$ |
$36$ |
$0$ |
|
$2^{25}\cdot7^{42}$ |
|
|
✓ |
$1^{15}\cdot2^{4}$ |
$1$ |
$0$ |
? |
$\begin{bmatrix}0&5\\1&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&3\end{bmatrix}$ |
14.504.25.a.1 |
14.504.25.1 |
|
|
|
|
|
$14$ |
$504$ |
$25$ |
$1$ |
$9 \le \gamma \le 12$ |
$36$ |
$0$ |
|
$2^{30}\cdot7^{46}$ |
|
|
✓ |
$1^{13}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&8\\12&7\end{bmatrix}$, $\begin{bmatrix}7&10\\6&7\end{bmatrix}$ |
14.504.25.b.1 |
14.504.25.2 |
|
|
|
|
|
$14$ |
$504$ |
$25$ |
$1$ |
$5 \le \gamma \le 12$ |
$36$ |
$0$ |
|
$2^{30}\cdot7^{50}$ |
|
|
✓ |
$1^{5}\cdot2^{6}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&1\\1&4\end{bmatrix}$, $\begin{bmatrix}3&1\\9&4\end{bmatrix}$ |
14.504.25.c.1 |
14.504.25.3 |
|
|
|
|
|
$14$ |
$504$ |
$25$ |
$3$ |
$9 \le \gamma \le 12$ |
$36$ |
$0$ |
|
$2^{30}\cdot7^{47}$ |
|
|
✓ |
$1^{13}\cdot2^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&1\\12&9\end{bmatrix}$, $\begin{bmatrix}5&10\\12&9\end{bmatrix}$ |
14.1008.49.a.1 |
14.1008.49.4 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
✓ |
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&0\\0&9\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$ |
14.1008.49.b.1 |
14.1008.49.3 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
✓ |
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&13\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$ |
14.1008.49.c.1 |
14.1008.49.1 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$3$ |
$10 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{98}$ |
|
|
✓ |
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}4&13\\7&3\end{bmatrix}$, $\begin{bmatrix}13&2\\0&1\end{bmatrix}$ |
14.1008.49.d.1 |
14.1008.49.2 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{92}$ |
|
|
✓ |
$1^{9}\cdot2^{14}\cdot4^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}10&7\\7&13\end{bmatrix}$, $\begin{bmatrix}13&0\\0&1\end{bmatrix}$ |
14.1008.49.e.1 |
14.1008.49.5 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$3$ |
|
$2^{54}\cdot7^{93}$ |
|
|
✓ |
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&5\\0&13\end{bmatrix}$, $\begin{bmatrix}3&5\\0&1\end{bmatrix}$ |
14.1008.49.f.1 |
14.1008.49.6 |
|
|
|
|
|
$14$ |
$1008$ |
$49$ |
$5$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{91}$ |
|
|
✓ |
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&5\\0&3\end{bmatrix}$, $\begin{bmatrix}13&0\\0&13\end{bmatrix}$ |
14.2016.49-14.a.1.1 |
14.2016.49.6 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$3$ |
$17 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&0\\0&11\end{bmatrix}$ |
14.2016.49-14.b.1.1 |
14.2016.49.5 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&13\end{bmatrix}$ |
14.2016.49-14.b.1.2 |
14.2016.49.3 |
|
|
|
|
$X_{\mathrm{arith}}(14)$ |
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&1\end{bmatrix}$ |
14.2016.49-14.c.1.1 |
14.2016.49.1 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$3$ |
$10 \le \gamma \le 21$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{98}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&3\\7&12\end{bmatrix}$ |
14.2016.49-14.d.1.1 |
14.2016.49.2 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{92}$ |
|
|
|
$1^{9}\cdot2^{14}\cdot4^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}9&7\\7&6\end{bmatrix}$ |
14.2016.49-14.d.1.2 |
14.2016.49.4 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{92}$ |
|
|
|
$1^{9}\cdot2^{14}\cdot4^{3}$ |
|
$0$ |
? |
$\begin{bmatrix}10&7\\7&1\end{bmatrix}$ |
14.2016.49-14.e.1.1 |
14.2016.49.8 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$3$ |
|
$2^{54}\cdot7^{93}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}11&9\\0&13\end{bmatrix}$ |
14.2016.49-14.e.1.2 |
14.2016.49.7 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$3$ |
|
$2^{54}\cdot7^{93}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&3\\0&1\end{bmatrix}$ |
14.2016.49-14.f.1.1 |
14.2016.49.9 |
|
|
|
|
|
$14$ |
$2016$ |
$49$ |
$5$ |
$17 \le \gamma \le 24$ |
$72$ |
$0$ |
|
$2^{54}\cdot7^{91}$ |
|
|
|
$1^{31}\cdot2^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&9\\0&11\end{bmatrix}$ |
15.720.37.a.1 |
15.720.37.1 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
✓ |
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}4&0\\0&4\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$ |
15.720.37.b.1 |
15.720.37.5 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$4$ |
$12 \le \gamma \le 18$ |
$48$ |
$0$ |
|
$3^{56}\cdot5^{68}$ |
|
|
✓ |
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&3\\9&10\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$ |
15.720.37.c.1 |
15.720.37.2 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$2$ |
$8 \le \gamma \le 20$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{64}$ |
|
|
✓ |
$1^{17}\cdot2^{10}$ |
|
$0$ |
✓ |
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}8&0\\0&13\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$ |
15.720.37.d.1 |
15.720.37.6 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$5$ |
$12$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{68}$ |
|
|
✓ |
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}2&7\\12&13\end{bmatrix}$, $\begin{bmatrix}11&12\\6&14\end{bmatrix}$, $\begin{bmatrix}14&0\\0&14\end{bmatrix}$ |
15.720.37.e.1 |
15.720.37.3 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$0$ |
|
$3^{56}\cdot5^{66}$ |
|
|
✓ |
$1^{17}\cdot2^{10}$ |
|
$0$ |
? |
$\begin{bmatrix}9&7\\7&9\end{bmatrix}$, $\begin{bmatrix}12&14\\4&12\end{bmatrix}$, $\begin{bmatrix}14&0\\0&4\end{bmatrix}$ |
15.720.37.f.1 |
15.720.37.4 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$2$ |
$8 \le \gamma \le 20$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{66}$ |
|
|
✓ |
$1^{17}\cdot2^{10}$ |
|
$0$ |
✓ |
$\begin{bmatrix}0&4\\2&12\end{bmatrix}$, $\begin{bmatrix}13&0\\0&8\end{bmatrix}$ |
15.720.37.g.1 |
15.720.37.7 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$6$ |
$12 \le \gamma \le 24$ |
$48$ |
$0$ |
|
$3^{56}\cdot5^{66}$ |
|
|
✓ |
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}0&11\\7&0\end{bmatrix}$, $\begin{bmatrix}8&0\\0&13\end{bmatrix}$ |
15.720.37.h.1 |
15.720.37.8 |
|
|
|
|
|
$15$ |
$720$ |
$37$ |
$7$ |
$12$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{66}$ |
|
|
✓ |
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}0&8\\1&0\end{bmatrix}$, $\begin{bmatrix}11&0\\0&4\end{bmatrix}$ |
15.1440.37-15.a.1.1 |
15.1440.37.7 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}2&0\\0&11\end{bmatrix}$, $\begin{bmatrix}4&0\\0&4\end{bmatrix}$ |
15.1440.37-15.a.1.2 |
15.1440.37.5 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}4&0\\0&4\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$ |
15.1440.37-15.a.1.3 |
15.1440.37.4 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}14&0\\0&4\end{bmatrix}$ |
15.1440.37-15.a.1.4 |
15.1440.37.2 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&4\end{bmatrix}$ |
15.1440.37-15.a.1.5 |
15.1440.37.1 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}11&0\\0&11\end{bmatrix}$ |
15.1440.37-15.a.1.6 |
15.1440.37.3 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$3^{56}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&11\end{bmatrix}$, $\begin{bmatrix}13&0\\0&4\end{bmatrix}$, $\begin{bmatrix}14&0\\0&4\end{bmatrix}$ |
15.1440.37-15.b.1.1 |
15.1440.37.13 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$4$ |
$12 \le \gamma \le 18$ |
$48$ |
$0$ |
|
$3^{56}\cdot5^{68}$ |
|
|
|
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&3\\9&10\end{bmatrix}$, $\begin{bmatrix}11&0\\0&1\end{bmatrix}$ |
15.1440.37-15.b.1.2 |
15.1440.37.14 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$4$ |
$12 \le \gamma \le 18$ |
$48$ |
$0$ |
|
$3^{56}\cdot5^{68}$ |
|
|
|
$1^{31}\cdot2^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}5&3\\9&10\end{bmatrix}$ |
15.1440.37-15.c.1.1 |
15.1440.37.6 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 20$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
✓ |
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}8&0\\0&13\end{bmatrix}$ |
15.1440.37-15.c.1.2 |
15.1440.37.8 |
|
|
|
|
|
$15$ |
$1440$ |
$37$ |
$2$ |
$8 \le \gamma \le 20$ |
$48$ |
$0$ |
|
$3^{60}\cdot5^{64}$ |
|
|
|
$1^{17}\cdot2^{10}$ |
|
$0$ |
✓ |
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$, $\begin{bmatrix}13&0\\0&8\end{bmatrix}$ |