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 |
1.1.0.a.1 |
1.1.0.1 |
X1 |
1A0 |
|
|
$X(1)$ |
$1$ |
$1$ |
$0$ |
$0$ |
$1$ |
$1$ |
$1$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$0$ |
|
trivial subgroup |
2.6.0.a.1 |
2.6.0.1 |
X8 |
2C0 |
2C0-2a |
2Cs |
$X(2)$ |
$2$ |
$6$ |
$0$ |
$0$ |
$1$ |
$3$ |
$3$ |
✓ |
$?$ |
? |
? |
✓ |
not computed |
$1$ |
$31721$ |
|
trivial subgroup |
3.24.0-3.a.1.1 |
3.24.0.1 |
|
3D0 |
|
3Cs.1.1 |
$X_{\mathrm{arith}}(3)$ |
$3$ |
$24$ |
$0$ |
$0$ |
$1$ |
$4$ |
$2$ |
✓ |
$?$ |
? |
? |
|
not computed |
|
$1551$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$ |
4.48.0-4.b.1.1 |
4.48.0.3 |
X58i |
4G0 |
|
|
$X_{\mathrm{arith}}(4)$ |
$4$ |
$48$ |
$0$ |
$0$ |
$1$ |
$6$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$62$ |
|
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$ |
5.120.0-5.a.1.2 |
5.120.0.1 |
|
5H0 |
|
5Cs.1.1 |
$X_{\mathrm{arith}}(5)$ |
$5$ |
$120$ |
$0$ |
$0$ |
$1$ |
$12$ |
$2$ |
|
$?$ |
? |
? |
|
not computed |
|
$8$ |
|
$\begin{bmatrix}1&0\\0&3\end{bmatrix}$ |
6.144.1-6.a.1.1 |
6.144.1.1 |
|
6F1 |
|
|
$X_{\mathrm{arith}}(6)$ |
$6$ |
$144$ |
$1$ |
$0$ |
$2$ |
$12$ |
$6$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
|
$1$ |
|
$1$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
7.336.3-7.b.1.2 |
7.336.3.1 |
|
7A3 |
|
7Cs.1.1 |
$X_{\mathrm{arith}}(7)$ |
$7$ |
$336$ |
$3$ |
$0$ |
$3$ |
$24$ |
$3$ |
|
$7^{6}$ |
|
✓ |
|
$1\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}3&0\\0&1\end{bmatrix}$ |
8.384.5-8.d.1.1 |
8.384.5.9 |
|
8A5 |
|
|
$X_{\mathrm{arith}}(8)$ |
$8$ |
$384$ |
$5$ |
$0$ |
$4$ |
$24$ |
$4$ |
|
$2^{28}$ |
|
|
|
$1^{3}\cdot2$ |
|
$1$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&7\end{bmatrix}$ |
9.648.10-9.a.1.1 |
9.648.10.1 |
|
9A10 |
|
|
$X_{\mathrm{arith}}(9)$ |
$9$ |
$648$ |
$10$ |
$0$ |
$5 \le \gamma \le 6$ |
$36$ |
$3$ |
|
$3^{38}$ |
|
|
|
$1^{2}\cdot2^{2}\cdot4$ |
|
$1$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
10.720.13-10.a.1.2 |
10.720.13.1 |
|
10A13 |
|
|
$X_{\mathrm{arith}}(10)$ |
$10$ |
$720$ |
$13$ |
$0$ |
$4 \le \gamma \le 6$ |
$36$ |
$6$ |
|
$2^{18}\cdot5^{24}$ |
|
|
|
$1^{7}\cdot2^{3}$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$ |
11.1320.26-11.a.1.1 |
11.1320.26.1 |
|
|
|
11Cs.1.1 |
$X_{\mathrm{arith}}(11)$ |
$11$ |
$1320$ |
$26$ |
$1$ |
$7 \le \gamma \le 20$ |
$60$ |
$5$ |
|
$11^{50}$ |
|
|
|
$1^{6}\cdot4^{5}$ |
|
$0$ |
|
$\begin{bmatrix}8&0\\0&1\end{bmatrix}$ |
12.1152.25-12.b.1.1 |
12.1152.25.17 |
|
|
|
|
$X_{\mathrm{arith}}(12)$ |
$12$ |
$1152$ |
$25$ |
$0$ |
$6 \le \gamma \le 12$ |
$48$ |
$4$ |
|
$2^{76}\cdot3^{40}$ |
|
|
|
$1^{13}\cdot2^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
13.2184.50-13.b.1.1 |
13.2184.50.1 |
|
|
|
13Cs.1.1 |
$X_{\mathrm{arith}}(13)$ |
$13$ |
$2184$ |
$50$ |
$3$ |
$11 \le \gamma \le 26$ |
$84$ |
$6$ |
|
$13^{96}$ |
|
|
|
$2^{5}\cdot3^{2}\cdot4\cdot6^{3}\cdot12$ |
|
$0$ |
|
$\begin{bmatrix}2&0\\0&1\end{bmatrix}$ |
14.2016.49-14.b.1.2 |
14.2016.49.3 |
|
|
|
|
$X_{\mathrm{arith}}(14)$ |
$14$ |
$2016$ |
$49$ |
$1$ |
$10 \le \gamma \le 18$ |
$72$ |
$9$ |
|
$2^{54}\cdot7^{90}$ |
|
|
|
$1^{11}\cdot2^{13}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&1\end{bmatrix}$ |
15.2880.73-15.a.1.4 |
15.2880.73.1 |
|
|
|
|
$X_{\mathrm{arith}}(15)$ |
$15$ |
$2880$ |
$73$ |
$2$ |
$15 \le \gamma \le 24$ |
$96$ |
$4$ |
|
$3^{112}\cdot5^{128}$ |
|
|
|
$1^{17}\cdot2^{10}\cdot4^{7}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}7&0\\0&1\end{bmatrix}$ |
16.3072.81-16.d.1.1 |
16.3072.81.17 |
|
|
|
|
$X_{\mathrm{arith}}(16)$ |
$16$ |
$3072$ |
$81$ |
$4$ |
$16 \le \gamma \le 32$ |
$96$ |
$8$ |
|
$2^{542}$ |
|
|
|
$1^{19}\cdot2^{23}\cdot8^{2}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&15\end{bmatrix}$ |
17.4896.133-17.e.1.1 |
17.4896.133.1 |
|
|
|
17Cs.1.1 |
$X_{\mathrm{arith}}(17)$ |
$17$ |
$4896$ |
$133$ |
$6$ |
$25 \le \gamma \le 68$ |
$144$ |
$8$ |
|
$17^{256}$ |
|
|
|
$1^{3}\cdot2^{3}\cdot3^{2}\cdot4^{9}\cdot6\cdot8^{3}\cdot12\cdot16\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&6\end{bmatrix}$ |
18.3888.109-18.a.1.1 |
18.3888.109.1 |
|
|
|
|
$X_{\mathrm{arith}}(18)$ |
$18$ |
$3888$ |
$109$ |
$3$ |
$20 \le \gamma \le 36$ |
$108$ |
$9$ |
|
$2^{106}\cdot3^{366}$ |
|
|
|
$1^{31}\cdot2^{33}\cdot4^{3}$ |
|
$0$ |
|
$\begin{bmatrix}5&0\\0&1\end{bmatrix}$ |
19.6840.196-19.d.1.1 |
19.6840.196.1 |
|
|
|
19Cs.1.1 |
$X_{\mathrm{arith}}(19)$ |
$19$ |
$6840$ |
$196$ |
$8$ |
$34 \le \gamma \le 95$ |
$180$ |
$9$ |
|
$19^{378}$ |
|
|
|
$1^{4}\cdot2^{7}\cdot3^{2}\cdot4^{5}\cdot6^{12}\cdot8\cdot12^{4}\cdot24$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&10\end{bmatrix}$ |
20.5760.169-20.c.1.3 |
20.5760.169.25 |
|
|
|
|
$X_{\mathrm{arith}}(20)$ |
$20$ |
$5760$ |
$169$ |
$5$ |
$29 \le \gamma \le 48$ |
$144$ |
$8$ |
|
$2^{460}\cdot5^{288}$ |
|
|
|
$1^{43}\cdot2^{39}\cdot4^{4}\cdot8^{4}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}1&0\\0&17\end{bmatrix}$ |
21.8064.241-21.b.1.1 |
21.8064.241.1 |
|
|
|
|
$X_{\mathrm{arith}}(21)$ |
$21$ |
$8064$ |
$241$ |
$8$ |
$40 \le \gamma \le 72$ |
$192$ |
$6$ |
|
$3^{346}\cdot7^{432}$ |
|
|
|
$1^{21}\cdot2^{40}\cdot4^{15}\cdot8^{4}\cdot16^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&0\\0&13\end{bmatrix}$ |
22.7920.241-22.a.1.1 |
22.7920.241.1 |
|
|
|
|
$X_{\mathrm{arith}}(22)$ |
$22$ |
$7920$ |
$241$ |
$12$ |
$40 \le \gamma \le 88$ |
$180$ |
$15$ |
|
$2^{218}\cdot11^{450}$ |
|
|
|
$1^{25}\cdot2^{12}\cdot4^{36}\cdot8^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$ |
23.12144.375-23.e.1.2 |
23.12144.375.1 |
|
|
|
23Cs.1.1 |
$X_{\mathrm{arith}}(23)$ |
$23$ |
$12144$ |
$375$ |
$13$ |
$61 \le \gamma \le 276$ |
$264$ |
$11$ |
|
$23^{726}$ |
|
|
|
$2^{7}\cdot3\cdot4^{2}\cdot5^{2}\cdot10^{11}\cdot20^{6}\cdot30\cdot40^{2}$ |
|
$0$ |
|
$\begin{bmatrix}19&0\\0&1\end{bmatrix}$ |
24.9216.289-24.eq.1.1 |
24.9216.289.2 |
|
|
|
|
$X_{\mathrm{arith}}(24)$ |
$24$ |
$9216$ |
$289$ |
$9$ |
$46 \le \gamma \le 96$ |
$192$ |
$8$ |
|
$2^{1306}\cdot3^{406}$ |
|
|
|
$1^{73}\cdot2^{58}\cdot4^{23}\cdot8$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&13\end{bmatrix}$, $\begin{bmatrix}1&0\\0&19\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$ |
25.15000.476-25.f.1.1 |
25.15000.476.1 |
|
|
|
|
$X_{\mathrm{arith}}(25)$ |
$25$ |
$15000$ |
$476$ |
$22$ |
$75 \le \gamma \le 125$ |
$300$ |
$10$ |
|
$5^{1728}$ |
|
|
|
$2^{8}\cdot4^{23}\cdot8^{22}\cdot16^{8}\cdot32^{2}$ |
|
$0$ |
|
$\begin{bmatrix}12&0\\0&1\end{bmatrix}$ |
26.13104.421-26.b.1.1 |
26.13104.421.3 |
|
|
|
|
$X_{\mathrm{arith}}(26)$ |
$26$ |
$13104$ |
$421$ |
$24$ |
$65 \le \gamma \le 156$ |
$252$ |
$18$ |
|
$2^{362}\cdot13^{792}$ |
|
|
|
$1^{27}\cdot2^{59}\cdot3^{12}\cdot4^{15}\cdot6^{18}\cdot12^{6}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$ |
27.17496.568-27.d.1.1 |
27.17496.568.1 |
|
|
|
|
$X_{\mathrm{arith}}(27)$ |
$27$ |
$17496$ |
$568$ |
$26$ |
$87 \le \gamma \le 162$ |
$324$ |
$9$ |
|
$3^{2964}$ |
|
|
|
$1^{8}\cdot2^{14}\cdot3^{4}\cdot4^{7}\cdot6^{18}\cdot12^{32}$ |
|
$0$ |
|
$\begin{bmatrix}14&0\\0&1\end{bmatrix}$ |
28.16128.529-28.e.1.1 |
28.16128.529.73 |
|
|
|
|
$X_{\mathrm{arith}}(28)$ |
$28$ |
$16128$ |
$529$ |
$22$ |
$80 \le \gamma \le 144$ |
$288$ |
$12$ |
|
$2^{1372}\cdot7^{936}$ |
|
|
|
$1^{59}\cdot2^{95}\cdot4^{38}\cdot8^{10}\cdot16^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&15\end{bmatrix}$, $\begin{bmatrix}17&0\\0&1\end{bmatrix}$ |
29.24360.806-29.e.1.1 |
29.24360.806.1 |
|
|
|
29Cs.1.1 |
$X_{\mathrm{arith}}(29)$ |
$29$ |
$24360$ |
$806$ |
$30$ |
$121 \le \gamma \le 348$ |
$420$ |
$14$ |
|
$29^{1568}$ |
|
|
|
$2^{8}\cdot3^{2}\cdot4^{2}\cdot6^{10}\cdot8^{2}\cdot12^{19}\cdot16\cdot24^{5}\cdot36^{2}\cdot48^{2}\cdot72\cdot96$ |
|
$0$ |
|
$\begin{bmatrix}21&0\\0&1\end{bmatrix}$ |
30.17280.577-30.a.1.4 |
30.17280.577.1 |
|
|
|
|
$X_{\mathrm{arith}}(30)$ |
$30$ |
$17280$ |
$577$ |
$15$ |
$86 \le \gamma \le 144$ |
$288$ |
$12$ |
|
$2^{478}\cdot3^{790}\cdot5^{958}$ |
|
|
|
$1^{139}\cdot2^{75}\cdot4^{56}\cdot8^{8}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&7\end{bmatrix}$, $\begin{bmatrix}1&0\\0&11\end{bmatrix}$ |
31.29760.1001-31.h.1.1 |
31.29760.1001.1 |
|
|
|
31Cs.1.1 |
$X_{\mathrm{arith}}(31)$ |
$31$ |
$29760$ |
$1001$ |
$28$ |
$148 \le \gamma \le 465$ |
$480$ |
$15$ |
|
$31^{1950}$ |
|
|
|
$2^{8}\cdot3\cdot4^{18}\cdot6\cdot8^{16}\cdot12^{2}\cdot16^{21}\cdot24^{2}\cdot32\cdot48\cdot64\cdot96\cdot128$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&17\end{bmatrix}$ |
32.24576.833-32.h.1.1 |
32.24576.833.33 |
|
|
|
|
$X_{\mathrm{arith}}(32)$ |
$32$ |
$24576$ |
$833$ |
$56$ |
$122 \le \gamma \le 256$ |
$384$ |
$16$ |
|
$2^{6932}$ |
|
|
|
$1^{39}\cdot2^{95}\cdot4^{45}\cdot8^{37}\cdot16^{8}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&1\end{bmatrix}$, $\begin{bmatrix}15&0\\0&1\end{bmatrix}$ |
33.31680.1081-33.b.1.2 |
33.31680.1081.1 |
|
|
|
|
$X_{\mathrm{arith}}(33)$ |
$33$ |
$31680$ |
$1081$ |
$41$ |
$158 \le \gamma \le 396$ |
$480$ |
$10$ |
|
$3^{1468}\cdot11^{2000}$ |
|
|
|
$1^{47}\cdot2^{31}\cdot4^{89}\cdot8^{33}\cdot16^{18}\cdot32^{2}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&2\end{bmatrix}$, $\begin{bmatrix}1&0\\0&23\end{bmatrix}$ |
34.29376.1009-34.e.1.1 |
34.29376.1009.1 |
|
|
|
|
$X_{\mathrm{arith}}(34)$ |
$34$ |
$29376$ |
$1009$ |
$47$ |
$146 \le \gamma \le 408$ |
$432$ |
$24$ |
|
$2^{814}\cdot17^{1920}$ |
|
|
|
$1^{15}\cdot2^{51}\cdot3^{16}\cdot4^{57}\cdot6^{8}\cdot8^{23}\cdot12^{8}\cdot16^{6}\cdot24^{8}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$ |
35.40320.1393-35.d.1.4 |
35.40320.1393.1 |
|
|
|
|
$X_{\mathrm{arith}}(35)$ |
$35$ |
$40320$ |
$1393$ |
$38$ |
$200 \le \gamma \le 336$ |
$576$ |
$12$ |
|
$5^{2298}\cdot7^{2448}$ |
|
|
|
$1^{29}\cdot2^{76}\cdot3^{4}\cdot4^{103}\cdot6^{8}\cdot8^{27}\cdot12^{3}\cdot16^{3}\cdot24^{7}\cdot32^{4}\cdot48^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&17\end{bmatrix}$, $\begin{bmatrix}1&0\\0&34\end{bmatrix}$ |
36.31104.1081-36.e.1.1 |
36.31104.1081.73 |
|
|
|
|
$X_{\mathrm{arith}}(36)$ |
$36$ |
$31104$ |
$1081$ |
$54$ |
$155 \le \gamma \le 288$ |
$432$ |
$12$ |
|
$2^{2732}\cdot3^{3470}$ |
|
|
|
$1^{145}\cdot2^{194}\cdot4^{63}\cdot8^{31}\cdot16^{3}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&29\end{bmatrix}$, $\begin{bmatrix}19&0\\0&1\end{bmatrix}$ |
37.50616.1768-37.g.1.1 |
37.50616.1768.1 |
|
|
|
37Cs.1.1 |
$X_{\mathrm{arith}}(37)$ |
$37$ |
$50616$ |
$1768$ |
$53$ |
$252 \le \gamma \le 666$ |
$684$ |
$18$ |
|
$37^{3456}$ |
|
|
|
$1^{10}\cdot2^{16}\cdot3^{4}\cdot4^{10}\cdot6^{28}\cdot12^{16}\cdot18^{11}\cdot27^{2}\cdot36^{4}\cdot54^{3}\cdot108\cdot162^{2}\cdot324$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$ |
38.41040.1441-38.d.1.1 |
38.41040.1441.3 |
|
|
|
|
$X_{\mathrm{arith}}(38)$ |
$38$ |
$41040$ |
$1441$ |
$64$ |
$204 \le \gamma \le 570$ |
$540$ |
$27$ |
|
$2^{1138}\cdot19^{2754}$ |
|
|
|
$1^{37}\cdot2^{55}\cdot3^{10}\cdot4^{32}\cdot6^{76}\cdot8^{8}\cdot12^{32}\cdot16\cdot24^{7}\cdot48$ |
|
$0$ |
|
$\begin{bmatrix}33&0\\0&1\end{bmatrix}$ |
39.52416.1849-39.d.1.1 |
39.52416.1849.1 |
|
|
|
|
$X_{\mathrm{arith}}(39)$ |
$39$ |
$52416$ |
$1849$ |
$54$ |
$260 \le \gamma \le 624$ |
$672$ |
$12$ |
|
$3^{2476}\cdot13^{3456}$ |
|
|
|
$1^{17}\cdot2^{98}\cdot3^{20}\cdot4^{74}\cdot6^{32}\cdot8^{49}\cdot12^{16}\cdot24^{3}\cdot48^{3}\cdot96^{3}$ |
|
$0$ |
|
$\begin{bmatrix}14&0\\0&19\end{bmatrix}$, $\begin{bmatrix}14&0\\0&25\end{bmatrix}$ |
40.46080.1633-40.en.1.1 |
40.46080.1633.2 |
|
|
|
|
$X_{\mathrm{arith}}(40)$ |
$40$ |
$46080$ |
$1633$ |
$95$ |
$229 \le \gamma \le 384$ |
$576$ |
$16$ |
|
$2^{7130}\cdot5^{2678}$ |
|
|
|
$1^{163}\cdot2^{285}\cdot4^{127}\cdot8^{49}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&11\end{bmatrix}$, $\begin{bmatrix}1&0\\0&21\end{bmatrix}$, $\begin{bmatrix}17&0\\0&31\end{bmatrix}$ |
41.68880.2451-41.i.1.1 |
41.68880.2451.1 |
|
|
|
41Cs.1.1 |
$X_{\mathrm{arith}}(41)$ |
$41$ |
$68880$ |
$2451$ |
$62$ |
$342 \le \gamma \le 1230$ |
$840$ |
$20$ |
|
$41^{4800}$ |
|
|
|
$2^{5}\cdot3^{5}\cdot4^{2}\cdot6^{7}\cdot8^{17}\cdot12^{8}\cdot16^{6}\cdot18^{2}\cdot24^{20}\cdot32^{4}\cdot36\cdot48^{9}\cdot72^{3}\cdot96\cdot144\cdot192\cdot288$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&19\end{bmatrix}$ |
42.48384.1729-42.b.1.1 |
42.48384.1729.3 |
|
|
|
|
$X_{\mathrm{arith}}(42)$ |
$42$ |
$48384$ |
$1729$ |
$61$ |
$240 \le \gamma \le 432$ |
$576$ |
$18$ |
|
$2^{1342}\cdot3^{2302}\cdot7^{3022}$ |
|
|
|
$1^{193}\cdot2^{300}\cdot4^{92}\cdot8^{35}\cdot16^{18}$ |
|
$0$ |
|
$\begin{bmatrix}1&0\\0&5\end{bmatrix}$, $\begin{bmatrix}1&0\\0&29\end{bmatrix}$ |
43.79464.2850-43.i.1.1 |
43.79464.2850.1 |
|
|
|
43Cs.1.1 |
$X_{\mathrm{arith}}(43)$ |
$43$ |
$79464$ |
$2850$ |
$62$ |
$395 \le \gamma \le 1935$ |
$924$ |
$21$ |
|
$43^{5586}$ |
|
|
|
$1^{6}\cdot2^{12}\cdot3^{4}\cdot4^{6}\cdot6^{23}\cdot10\cdot12^{22}\cdot18^{2}\cdot20^{4}\cdot24^{5}\cdot36^{21}\cdot40^{3}\cdot60\cdot120^{4}\cdot240^{3}$ |
|
$0$ |
|
$\begin{bmatrix}34&0\\0&1\end{bmatrix}$ |
44.63360.2281-44.g.1.1 |
44.63360.2281.81 |
|
|
|
|
$X_{\mathrm{arith}}(44)$ |
$44$ |
$63360$ |
$2281$ |
$88$ |
$315 \le \gamma \le 704$ |
$720$ |
$20$ |
|
$2^{5676}\cdot11^{4200}$ |
|
|
|
$1^{79}\cdot2^{69}\cdot4^{158}\cdot8^{71}\cdot16^{38}\cdot64^{4}$ |
|
$0$ |
|
$\begin{bmatrix}17&0\\0&1\end{bmatrix}$, $\begin{bmatrix}23&0\\0&1\end{bmatrix}$ |
45.77760.2809-45.b.1.2 |
45.77760.2809.2 |
|
|
|
|
$X_{\mathrm{arith}}(45)$ |
$45$ |
$77760$ |
$2809$ |
$96$ |
$386 \le \gamma \le 648$ |
$864$ |
$12$ |
|
$3^{8942}\cdot5^{4588}$ |
|
|
|
$1^{91}\cdot2^{137}\cdot3^{6}\cdot4^{132}\cdot6^{17}\cdot8^{76}\cdot12^{5}\cdot16^{45}\cdot24^{9}\cdot32^{6}$ |
|
$0$ |
|
$\begin{bmatrix}7&0\\0&1\end{bmatrix}$, $\begin{bmatrix}44&0\\0&1\end{bmatrix}$ |
46.72864.2641-46.e.1.2 |
46.72864.2641.1 |
|
|
|
|
$X_{\mathrm{arith}}(46)$ |
$46$ |
$72864$ |
$2641$ |
$95$ |
$362 \le \gamma \le 1012$ |
$792$ |
$33$ |
|
$2^{2022}\cdot23^{5082}$ |
|
|
|
$1^{22}\cdot2^{29}\cdot3^{3}\cdot4^{8}\cdot5^{14}\cdot6\cdot8^{3}\cdot10^{97}\cdot20^{37}\cdot30^{3}\cdot40^{8}\cdot60\cdot80^{3}$ |
|
$0$ |
|
$\begin{bmatrix}11&0\\0&1\end{bmatrix}$ |
47.103776.3773-47.l.1.2 |
47.103776.3773.1 |
|
|
|
47Cs.1.1 |
$X_{\mathrm{arith}}(47)$ |
$47$ |
$103776$ |
$3773$ |
$73$ |
$515 \le \gamma \le 3290$ |
$1104$ |
$23$ |
|
$47^{7406}$ |
|
|
|
$1^{2}\cdot3^{2}\cdot4^{3}\cdot5\cdot8\cdot10\cdot16^{2}\cdot22^{2}\cdot24\cdot33^{2}\cdot66^{25}\cdot88^{2}\cdot110\cdot176\cdot220\cdot352^{2}\cdot528$ |
|
$0$ |
|
$\begin{bmatrix}23&0\\0&1\end{bmatrix}$ |
48.73728.2689-48.dq.1.1 |
48.73728.2689.1 |
|
|
|
|
$X_{\mathrm{arith}}(48)$ |
$48$ |
$73728$ |
$2689$ |
$121$ |
$366 \le \gamma \le 512$ |
$768$ |
$16$ |
|
$2^{16824}\cdot3^{3550}$ |
|
|
|
$1^{293}\cdot2^{270}\cdot4^{162}\cdot8^{83}\cdot12^{24}\cdot16^{16}$ |
|
$0$ |
|
$\begin{bmatrix}17&0\\0&1\end{bmatrix}$, $\begin{bmatrix}23&0\\0&1\end{bmatrix}$, $\begin{bmatrix}35&0\\0&1\end{bmatrix}$ |
49.115248.4215-49.k.1.2 |
49.115248.4215.1 |
|
|
|
|
$X_{\mathrm{arith}}(49)$ |
$49$ |
$115248$ |
$4215$ |
$105$ |
$572 \le \gamma \le 1029$ |
$1176$ |
$21$ |
|
$7^{15642}$ |
|
|
|
$1^{3}\cdot2^{3}\cdot3^{6}\cdot6^{30}\cdot9^{2}\cdot12^{57}\cdot18^{9}\cdot24^{11}\cdot36^{10}\cdot48^{28}\cdot72^{3}\cdot96^{4}\cdot192^{3}$ |
|
$0$ |
|
$\begin{bmatrix}47&0\\0&1\end{bmatrix}$ |
50.90000.3301-50.f.1.1 |
50.90000.3301.1 |
|
|
|
|
$X_{\mathrm{arith}}(50)$ |
$50$ |
$90000$ |
$3301$ |
$124$ |
$447 \le \gamma \le 750$ |
$900$ |
$30$ |
|
$2^{2498}\cdot5^{11782}$ |
|
|
|
$1^{19}\cdot2^{63}\cdot4^{156}\cdot6^{2}\cdot8^{170}\cdot12^{8}\cdot16^{46}\cdot24^{3}\cdot32^{8}$ |
|
$0$ |
|
$\begin{bmatrix}3&0\\0&1\end{bmatrix}$ |