| 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 |
| 57.2052.153.d.1 |
57.2052.153.13 |
|
|
|
|
|
$57$ |
$2052$ |
$153$ |
$101$ |
$36 \le \gamma \le 96$ |
$36$ |
$0$ |
|
$3^{241}\cdot19^{306}$ |
|
|
✓ |
$1^{9}\cdot2^{15}\cdot3^{10}\cdot4^{7}\cdot6^{4}\cdot8^{4}$ |
|
$0$ |
? |
$\begin{bmatrix}32&21\\10&25\end{bmatrix}$, $\begin{bmatrix}34&47\\20&44\end{bmatrix}$, $\begin{bmatrix}53&3\\51&50\end{bmatrix}$ |
| 57.2280.161.b.1 |
57.2280.161.1 |
|
|
|
|
$X_{\mathrm{sp}}^+(57)$ |
$57$ |
$2280$ |
$161$ |
$101$ |
$41 \le \gamma \le 108$ |
$40$ |
$2$ |
✓ |
$3^{197}\cdot19^{305}$ |
|
|
✓ |
$1^{26}\cdot2^{19}\cdot3^{11}\cdot4^{6}\cdot6^{4}\cdot8^{2}$ |
|
$0$ |
|
$\begin{bmatrix}0&5\\7&0\end{bmatrix}$, $\begin{bmatrix}0&37\\46&0\end{bmatrix}$, $\begin{bmatrix}26&0\\0&52\end{bmatrix}$ |
| 68.2176.165.j.1 |
68.2176.165.16 |
|
|
|
|
|
$68$ |
$2176$ |
$165$ |
$101$ |
$37 \le \gamma \le 96$ |
$32$ |
$0$ |
|
$2^{490}\cdot17^{324}$ |
|
|
✓ |
$1^{7}\cdot2^{25}\cdot3^{16}\cdot4^{9}\cdot6^{2}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}17&61\\2&55\end{bmatrix}$, $\begin{bmatrix}35&8\\43&33\end{bmatrix}$ |
| 68.2176.165.m.1 |
68.2176.165.15 |
|
|
|
|
|
$68$ |
$2176$ |
$165$ |
$101$ |
$37 \le \gamma \le 96$ |
$32$ |
$0$ |
|
$2^{490}\cdot17^{324}$ |
|
|
✓ |
$1^{7}\cdot2^{25}\cdot3^{16}\cdot4^{9}\cdot6^{2}\cdot12$ |
|
$0$ |
✓ |
$\begin{bmatrix}35&25\\56&45\end{bmatrix}$, $\begin{bmatrix}38&37\\35&47\end{bmatrix}$ |
| 70.2240.169.bf.1 |
70.2240.169.21 |
|
|
|
|
|
$70$ |
$2240$ |
$169$ |
$101$ |
$38 \le \gamma \le 80$ |
$32$ |
$0$ |
|
$2^{184}\cdot5^{308}\cdot7^{294}$ |
|
|
✓ |
$1^{65}\cdot2^{22}\cdot3^{8}\cdot4^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&16\\8&63\end{bmatrix}$, $\begin{bmatrix}14&55\\45&59\end{bmatrix}$, $\begin{bmatrix}28&17\\9&42\end{bmatrix}$, $\begin{bmatrix}51&43\\39&6\end{bmatrix}$ |
| 51.2448.177.c.1 |
51.2448.177.4 |
|
|
|
|
|
$51$ |
$2448$ |
$177$ |
$101$ |
$42 \le \gamma \le 108$ |
$48$ |
$0$ |
|
$3^{314}\cdot17^{343}$ |
|
|
✓ |
$1^{27}\cdot2^{15}\cdot3^{12}\cdot4^{10}\cdot6^{6}\cdot8$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&9\\47&38\end{bmatrix}$, $\begin{bmatrix}21&43\\19&17\end{bmatrix}$, $\begin{bmatrix}50&49\\9&49\end{bmatrix}$ |
| 56.2688.201.hq.1 |
56.2688.201.115 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$45 \le \gamma \le 64$ |
$48$ |
$0$ |
|
$2^{1044}\cdot7^{366}$ |
|
|
✓ |
$1^{87}\cdot2^{53}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&39\\46&45\end{bmatrix}$, $\begin{bmatrix}45&50\\49&11\end{bmatrix}$, $\begin{bmatrix}47&5\\12&9\end{bmatrix}$, $\begin{bmatrix}50&29\\29&13\end{bmatrix}$ |
| 56.2688.201.hu.1 |
56.2688.201.112 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$45 \le \gamma \le 64$ |
$48$ |
$0$ |
|
$2^{984}\cdot7^{366}$ |
|
|
✓ |
$1^{93}\cdot2^{54}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&37\\2&47\end{bmatrix}$, $\begin{bmatrix}12&41\\33&51\end{bmatrix}$, $\begin{bmatrix}19&53\\21&30\end{bmatrix}$, $\begin{bmatrix}48&21\\21&27\end{bmatrix}$ |
| 56.2688.201.hy.1 |
56.2688.201.320 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$46 \le \gamma \le 96$ |
$48$ |
$0$ |
|
$2^{1092}\cdot7^{361}$ |
|
|
✓ |
$1^{101}\cdot2^{48}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&34\\26&19\end{bmatrix}$, $\begin{bmatrix}33&41\\52&23\end{bmatrix}$, $\begin{bmatrix}49&4\\40&49\end{bmatrix}$, $\begin{bmatrix}53&35\\2&3\end{bmatrix}$ |
| 56.2688.201.jq.1 |
56.2688.201.116 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$45 \le \gamma \le 64$ |
$48$ |
$0$ |
|
$2^{1044}\cdot7^{376}$ |
|
|
✓ |
$1^{87}\cdot2^{53}\cdot4^{2}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&4\\28&9\end{bmatrix}$, $\begin{bmatrix}9&16\\23&47\end{bmatrix}$, $\begin{bmatrix}9&50\\37&47\end{bmatrix}$, $\begin{bmatrix}26&35\\35&54\end{bmatrix}$ |
| 56.2688.201.kk.1 |
56.2688.201.332 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$46 \le \gamma \le 96$ |
$48$ |
$0$ |
|
$2^{1079}\cdot7^{362}$ |
|
|
✓ |
$1^{99}\cdot2^{49}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}31&40\\12&35\end{bmatrix}$, $\begin{bmatrix}37&12\\12&41\end{bmatrix}$, $\begin{bmatrix}39&6\\14&17\end{bmatrix}$, $\begin{bmatrix}49&1\\50&47\end{bmatrix}$ |
| 56.2688.201.lq.1 |
56.2688.201.334 |
|
|
|
|
|
$56$ |
$2688$ |
$201$ |
$101$ |
$46 \le \gamma \le 96$ |
$48$ |
$0$ |
|
$2^{1079}\cdot7^{362}$ |
|
|
✓ |
$1^{99}\cdot2^{49}\cdot4$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&32\\28&31\end{bmatrix}$, $\begin{bmatrix}21&18\\26&7\end{bmatrix}$, $\begin{bmatrix}25&11\\2&55\end{bmatrix}$, $\begin{bmatrix}35&18\\26&21\end{bmatrix}$ |
| 66.2640.201.cx.1 |
66.2640.201.6 |
|
|
|
|
|
$66$ |
$2640$ |
$201$ |
$101$ |
$36 \le \gamma \le 96$ |
$40$ |
$0$ |
|
$2^{224}\cdot3^{300}\cdot11^{386}$ |
|
|
✓ |
$1^{69}\cdot2^{50}\cdot4^{8}$ |
|
$0$ |
✓ |
$\begin{bmatrix}23&13\\43&10\end{bmatrix}$, $\begin{bmatrix}35&56\\38&45\end{bmatrix}$, $\begin{bmatrix}50&35\\17&16\end{bmatrix}$ |
| 65.2730.206.b.1 |
65.2730.206.4 |
|
|
|
|
|
$65$ |
$2730$ |
$206$ |
$101$ |
$46 \le \gamma \le 65$ |
$42$ |
$0$ |
|
$5^{364}\cdot13^{396}$ |
|
|
✓ |
$1^{26}\cdot2^{10}\cdot3^{6}\cdot5^{8}\cdot10^{3}\cdot12^{6}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&34\\52&50\end{bmatrix}$, $\begin{bmatrix}20&29\\13&35\end{bmatrix}$, $\begin{bmatrix}37&26\\26&37\end{bmatrix}$ |
| 64.3072.225.d.1 |
64.3072.225.568 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
✓ |
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}37&42\\24&17\end{bmatrix}$, $\begin{bmatrix}63&14\\8&35\end{bmatrix}$, $\begin{bmatrix}63&28\\34&1\end{bmatrix}$ |
| 64.3072.225.em.1 |
64.3072.225.559 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
✓ |
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&6\\58&49\end{bmatrix}$, $\begin{bmatrix}33&58\\38&31\end{bmatrix}$, $\begin{bmatrix}45&20\\30&51\end{bmatrix}$ |
| 64.3072.225.h.1 |
64.3072.225.596 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
✓ |
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&62\\44&9\end{bmatrix}$, $\begin{bmatrix}39&40\\16&23\end{bmatrix}$, $\begin{bmatrix}55&22\\6&41\end{bmatrix}$ |
| 64.3072.225.hw.1 |
64.3072.225.488 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2440}$ |
|
|
✓ |
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&61\\32&61\end{bmatrix}$, $\begin{bmatrix}41&5\\42&55\end{bmatrix}$, $\begin{bmatrix}43&48\\48&59\end{bmatrix}$, $\begin{bmatrix}61&59\\8&3\end{bmatrix}$ |
| 64.3072.225.jh.1 |
64.3072.225.544 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
✓ |
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&36\\58&51\end{bmatrix}$, $\begin{bmatrix}21&33\\16&11\end{bmatrix}$, $\begin{bmatrix}41&17\\34&23\end{bmatrix}$ |
| 64.3072.225.kd.1 |
64.3072.225.480 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
✓ |
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&44\\60&41\end{bmatrix}$, $\begin{bmatrix}15&61\\4&17\end{bmatrix}$, $\begin{bmatrix}19&24\\24&59\end{bmatrix}$, $\begin{bmatrix}21&20\\36&17\end{bmatrix}$ |
| 64.3072.225.kf.1 |
64.3072.225.648 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
✓ |
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&12\\56&43\end{bmatrix}$, $\begin{bmatrix}5&3\\40&59\end{bmatrix}$, $\begin{bmatrix}63&54\\60&51\end{bmatrix}$ |
| 64.3072.225.nd.1 |
64.3072.225.690 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
✓ |
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}25&63\\40&3\end{bmatrix}$, $\begin{bmatrix}29&47\\40&39\end{bmatrix}$, $\begin{bmatrix}57&11\\62&7\end{bmatrix}$ |
| 64.3072.225.nr.1 |
64.3072.225.686 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2440}$ |
|
|
✓ |
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&29\\50&19\end{bmatrix}$, $\begin{bmatrix}27&20\\16&51\end{bmatrix}$, $\begin{bmatrix}45&45\\4&3\end{bmatrix}$ |
| 64.3072.225.oy.1 |
64.3072.225.507 |
|
|
|
|
|
$64$ |
$3072$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
✓ |
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&32\\0&7\end{bmatrix}$, $\begin{bmatrix}13&32\\12&17\end{bmatrix}$, $\begin{bmatrix}21&31\\24&11\end{bmatrix}$ |
| 64.6144.225-64.d.1.1 |
64.6144.225.4000 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}41&28\\46&23\end{bmatrix}$, $\begin{bmatrix}51&50\\56&15\end{bmatrix}$ |
| 64.6144.225-64.d.1.2 |
64.6144.225.4059 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}47&62\\10&49\end{bmatrix}$, $\begin{bmatrix}57&62\\8&61\end{bmatrix}$ |
| 64.6144.225-64.em.1.1 |
64.6144.225.4006 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}7&60\\26&25\end{bmatrix}$, $\begin{bmatrix}33&30\\6&31\end{bmatrix}$ |
| 64.6144.225-64.em.1.2 |
64.6144.225.4049 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&54\\48&17\end{bmatrix}$, $\begin{bmatrix}19&20\\34&13\end{bmatrix}$ |
| 64.6144.225-64.h.1.1 |
64.6144.225.3968 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
|
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}41&52\\22&23\end{bmatrix}$, $\begin{bmatrix}47&10\\36&27\end{bmatrix}$ |
| 64.6144.225-64.h.1.2 |
64.6144.225.4083 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
|
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}35&4\\34&29\end{bmatrix}$, $\begin{bmatrix}39&46\\54&57\end{bmatrix}$ |
| 64.6144.225-64.hw.1.1 |
64.6144.225.4307 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2440}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}43&24\\24&19\end{bmatrix}$, $\begin{bmatrix}43&29\\24&21\end{bmatrix}$, $\begin{bmatrix}59&55\\22&37\end{bmatrix}$ |
| 64.6144.225-64.hw.1.2 |
64.6144.225.4316 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2440}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}29&51\\48&35\end{bmatrix}$, $\begin{bmatrix}29&56\\56&37\end{bmatrix}$, $\begin{bmatrix}49&61\\10&47\end{bmatrix}$ |
| 64.6144.225-64.jh.1.1 |
64.6144.225.3426 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&36\\58&55\end{bmatrix}$, $\begin{bmatrix}19&59\\62&45\end{bmatrix}$ |
| 64.6144.225-64.jh.1.2 |
64.6144.225.3437 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}43&19\\62&21\end{bmatrix}$, $\begin{bmatrix}43&31\\48&53\end{bmatrix}$ |
| 64.6144.225-64.kd.1.1 |
64.6144.225.4315 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&21\\40&61\end{bmatrix}$, $\begin{bmatrix}21&39\\52&11\end{bmatrix}$, $\begin{bmatrix}31&32\\0&31\end{bmatrix}$ |
| 64.6144.225-64.kd.1.2 |
64.6144.225.3161 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&57\\24&49\end{bmatrix}$, $\begin{bmatrix}47&53\\44&49\end{bmatrix}$, $\begin{bmatrix}49&56\\56&57\end{bmatrix}$ |
| 64.6144.225-64.kd.1.3 |
64.6144.225.3168 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2442}$ |
|
|
|
$1^{15}\cdot2^{21}\cdot4^{20}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&12\\60&47\end{bmatrix}$, $\begin{bmatrix}17&23\\24&47\end{bmatrix}$, $\begin{bmatrix}27&60\\12&47\end{bmatrix}$ |
| 64.6144.225-64.kf.1.1 |
64.6144.225.4133 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
|
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}3&26\\36&47\end{bmatrix}$, $\begin{bmatrix}45&15\\32&19\end{bmatrix}$ |
| 64.6144.225-64.kf.1.2 |
64.6144.225.4174 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$52 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2497}$ |
|
|
|
$1^{9}\cdot2^{8}\cdot4^{14}\cdot8^{18}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&18\\20&61\end{bmatrix}$, $\begin{bmatrix}43&35\\28&53\end{bmatrix}$ |
| 64.6144.225-64.nd.1.1 |
64.6144.225.4265 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&23\\14&63\end{bmatrix}$, $\begin{bmatrix}37&24\\14&59\end{bmatrix}$ |
| 64.6144.225-64.nd.1.2 |
64.6144.225.4270 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}1&19\\8&35\end{bmatrix}$, $\begin{bmatrix}51&49\\42&13\end{bmatrix}$ |
| 64.6144.225-64.oy.1.1 |
64.6144.225.3202 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}15&13\\52&49\end{bmatrix}$, $\begin{bmatrix}19&57\\16&13\end{bmatrix}$ |
| 64.6144.225-64.oy.1.2 |
64.6144.225.3277 |
|
|
|
|
|
$64$ |
$6144$ |
$225$ |
$101$ |
$53 \le \gamma \le 64$ |
$64$ |
$0$ |
|
$2^{2324}$ |
|
|
|
$1^{39}\cdot2^{21}\cdot4^{14}\cdot8^{11}$ |
|
$0$ |
✓ |
$\begin{bmatrix}13&39\\44&51\end{bmatrix}$, $\begin{bmatrix}43&0\\12&47\end{bmatrix}$ |
| 66.2970.226.d.1 |
66.2970.226.4 |
|
|
|
|
|
$66$ |
$2970$ |
$226$ |
$101$ |
$39 \le \gamma \le 90$ |
$45$ |
$0$ |
|
$2^{190}\cdot3^{402}\cdot11^{436}$ |
|
|
✓ |
$1^{46}\cdot2^{62}\cdot4^{14}$ |
|
$0$ |
✓ |
$\begin{bmatrix}37&16\\37&29\end{bmatrix}$, $\begin{bmatrix}49&26\\59&47\end{bmatrix}$, $\begin{bmatrix}51&28\\29&15\end{bmatrix}$, $\begin{bmatrix}63&44\\11&63\end{bmatrix}$ |
| 52.3276.232.cc.1 |
52.3276.232.20 |
|
|
|
|
|
$52$ |
$3276$ |
$232$ |
$101$ |
$55 \le \gamma \le 108$ |
$84$ |
$0$ |
|
$2^{602}\cdot13^{442}$ |
|
|
✓ |
$1^{82}\cdot2^{17}\cdot3^{30}\cdot4^{2}\cdot6^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}5&12\\0&21\end{bmatrix}$, $\begin{bmatrix}31&9\\40&49\end{bmatrix}$, $\begin{bmatrix}37&9\\34&15\end{bmatrix}$, $\begin{bmatrix}43&41\\6&21\end{bmatrix}$ |
| 52.3276.232.cd.1 |
52.3276.232.38 |
|
|
|
|
|
$52$ |
$3276$ |
$232$ |
$101$ |
$55 \le \gamma \le 108$ |
$84$ |
$0$ |
|
$2^{602}\cdot13^{442}$ |
|
|
✓ |
$1^{82}\cdot2^{17}\cdot3^{30}\cdot4^{2}\cdot6^{3}$ |
|
$0$ |
✓ |
$\begin{bmatrix}11&26\\0&11\end{bmatrix}$, $\begin{bmatrix}11&40\\32&15\end{bmatrix}$, $\begin{bmatrix}29&46\\50&23\end{bmatrix}$, $\begin{bmatrix}35&41\\12&17\end{bmatrix}$ |
| 35.3360.233.bc.1 |
35.3360.233.13 |
|
|
|
|
|
$35$ |
$3360$ |
$233$ |
$101$ |
$56 \le \gamma \le 80$ |
$96$ |
$0$ |
|
$5^{460}\cdot7^{434}$ |
|
|
✓ |
$1^{49}\cdot2^{50}\cdot3^{16}\cdot4^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}9&14\\4&12\end{bmatrix}$, $\begin{bmatrix}31&7\\20&4\end{bmatrix}$, $\begin{bmatrix}32&14\\15&3\end{bmatrix}$ |
| 35.6720.233-35.bc.1.1 |
35.6720.233.20 |
|
|
|
|
|
$35$ |
$6720$ |
$233$ |
$101$ |
$56 \le \gamma \le 80$ |
$96$ |
$0$ |
|
$5^{460}\cdot7^{434}$ |
|
|
|
$1^{49}\cdot2^{50}\cdot3^{16}\cdot4^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&14\\6&25\end{bmatrix}$, $\begin{bmatrix}11&14\\28&4\end{bmatrix}$ |
| 35.6720.233-35.bc.1.2 |
35.6720.233.38 |
|
|
|
|
|
$35$ |
$6720$ |
$233$ |
$101$ |
$56 \le \gamma \le 80$ |
$96$ |
$0$ |
|
$5^{460}\cdot7^{434}$ |
|
|
|
$1^{49}\cdot2^{50}\cdot3^{16}\cdot4^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}10&7\\13&25\end{bmatrix}$, $\begin{bmatrix}16&28\\18&12\end{bmatrix}$ |
| 70.6720.233-35.bc.1.1 |
70.6720.233.38 |
|
|
|
|
|
$70$ |
$6720$ |
$233$ |
$101$ |
$56 \le \gamma \le 80$ |
$96$ |
$0$ |
|
$5^{460}\cdot7^{434}$ |
|
|
|
$1^{49}\cdot2^{50}\cdot3^{16}\cdot4^{9}$ |
|
$0$ |
✓ |
$\begin{bmatrix}24&17\\7&53\end{bmatrix}$, $\begin{bmatrix}27&20\\49&43\end{bmatrix}$, $\begin{bmatrix}47&35\\0&47\end{bmatrix}$ |
