LMFDB - Modular curve search results

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Label	RSZB label	CP label	Level	Index	Genus	Rank	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Squarefree	Decomposition	$j$-points	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
60.144.3-12.a.1.1	60.144.3.1093	12G3	$60$	$144$	$3$	$0$	$2$	$8$	$0$	$2^{10}\cdot3^{6}$	✓	$1^{3}$	$0$	✓	$\begin{bmatrix}19&56\\22&31\end{bmatrix}$, $\begin{bmatrix}23&6\\12&53\end{bmatrix}$, $\begin{bmatrix}35&16\\8&59\end{bmatrix}$, $\begin{bmatrix}55&34\\32&25\end{bmatrix}$
60.144.3-12.a.1.2	60.144.3.1091	12G3	$60$	$144$	$3$	$0$	$2$	$8$	$0$	$2^{10}\cdot3^{6}$	✓	$1^{3}$	$0$	✓	$\begin{bmatrix}31&42\\48&37\end{bmatrix}$, $\begin{bmatrix}41&40\\20&17\end{bmatrix}$, $\begin{bmatrix}51&4\\14&15\end{bmatrix}$, $\begin{bmatrix}57&16\\50&21\end{bmatrix}$
60.144.3-12.a.1.3	60.144.3.1094	12G3	$60$	$144$	$3$	$0$	$2$	$8$	$0$	$2^{10}\cdot3^{6}$	✓	$1^{3}$	$0$	✓	$\begin{bmatrix}23&24\\6&47\end{bmatrix}$, $\begin{bmatrix}41&34\\26&35\end{bmatrix}$, $\begin{bmatrix}47&42\\24&41\end{bmatrix}$, $\begin{bmatrix}59&36\\24&23\end{bmatrix}$
60.144.3-12.a.1.4	60.144.3.1092	12G3	$60$	$144$	$3$	$0$	$2$	$8$	$0$	$2^{10}\cdot3^{6}$	✓	$1^{3}$	$0$	✓	$\begin{bmatrix}5&8\\46&41\end{bmatrix}$, $\begin{bmatrix}23&12\\42&11\end{bmatrix}$, $\begin{bmatrix}25&14\\4&55\end{bmatrix}$, $\begin{bmatrix}53&26\\10&11\end{bmatrix}$
60.144.3-15.a.1.1	60.144.3.46	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}17&43\\45&46\end{bmatrix}$, $\begin{bmatrix}19&11\\33&56\end{bmatrix}$, $\begin{bmatrix}34&3\\45&28\end{bmatrix}$, $\begin{bmatrix}37&45\\39&4\end{bmatrix}$, $\begin{bmatrix}52&45\\15&22\end{bmatrix}$
60.144.3-15.a.1.2	60.144.3.1286	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}17&3\\18&5\end{bmatrix}$, $\begin{bmatrix}20&21\\9&20\end{bmatrix}$, $\begin{bmatrix}26&19\\27&4\end{bmatrix}$, $\begin{bmatrix}43&27\\0&49\end{bmatrix}$, $\begin{bmatrix}47&58\\54&13\end{bmatrix}$
60.144.3-15.a.1.3	60.144.3.1290	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}14&49\\3&25\end{bmatrix}$, $\begin{bmatrix}16&51\\57&40\end{bmatrix}$, $\begin{bmatrix}16&57\\21&55\end{bmatrix}$, $\begin{bmatrix}25&39\\42&13\end{bmatrix}$, $\begin{bmatrix}53&6\\30&11\end{bmatrix}$
60.144.3-15.a.1.4	60.144.3.1289	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&42\\42&43\end{bmatrix}$, $\begin{bmatrix}4&11\\9&14\end{bmatrix}$, $\begin{bmatrix}5&6\\21&11\end{bmatrix}$, $\begin{bmatrix}19&15\\24&31\end{bmatrix}$, $\begin{bmatrix}56&15\\57&17\end{bmatrix}$
60.144.3-15.a.1.5	60.144.3.47	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}23&21\\21&44\end{bmatrix}$, $\begin{bmatrix}25&48\\27&55\end{bmatrix}$, $\begin{bmatrix}37&0\\33&31\end{bmatrix}$, $\begin{bmatrix}56&27\\9&44\end{bmatrix}$, $\begin{bmatrix}59&40\\48&13\end{bmatrix}$
60.144.3-15.a.1.6	60.144.3.1285	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&59\\15&8\end{bmatrix}$, $\begin{bmatrix}19&18\\39&25\end{bmatrix}$, $\begin{bmatrix}26&19\\51&31\end{bmatrix}$, $\begin{bmatrix}28&21\\33&55\end{bmatrix}$, $\begin{bmatrix}41&6\\51&47\end{bmatrix}$
60.144.3-15.a.1.7	60.144.3.1288	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}10&59\\9&44\end{bmatrix}$, $\begin{bmatrix}41&19\\36&31\end{bmatrix}$, $\begin{bmatrix}47&34\\42&25\end{bmatrix}$, $\begin{bmatrix}50&3\\21&32\end{bmatrix}$, $\begin{bmatrix}53&0\\0&53\end{bmatrix}$
60.144.3-15.a.1.8	60.144.3.1287	15E3	$60$	$144$	$3$	$0$	$3$	$8$	$4$	$3^{4}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}5&33\\48&53\end{bmatrix}$, $\begin{bmatrix}13&50\\12&29\end{bmatrix}$, $\begin{bmatrix}41&12\\42&53\end{bmatrix}$, $\begin{bmatrix}52&15\\15&37\end{bmatrix}$, $\begin{bmatrix}59&1\\6&55\end{bmatrix}$
60.144.3-20.a.1.1	60.144.3.59	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}3&20\\32&11\end{bmatrix}$, $\begin{bmatrix}7&30\\26&17\end{bmatrix}$, $\begin{bmatrix}23&0\\16&7\end{bmatrix}$, $\begin{bmatrix}23&0\\50&49\end{bmatrix}$, $\begin{bmatrix}51&20\\32&11\end{bmatrix}$
60.144.3-20.a.1.2	60.144.3.1736	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}29&0\\6&23\end{bmatrix}$, $\begin{bmatrix}41&20\\42&19\end{bmatrix}$, $\begin{bmatrix}51&10\\44&23\end{bmatrix}$, $\begin{bmatrix}53&50\\58&23\end{bmatrix}$, $\begin{bmatrix}57&20\\20&9\end{bmatrix}$
60.144.3-20.a.1.3	60.144.3.1740	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}1&0\\38&59\end{bmatrix}$, $\begin{bmatrix}7&10\\26&1\end{bmatrix}$, $\begin{bmatrix}7&20\\44&23\end{bmatrix}$, $\begin{bmatrix}41&30\\28&41\end{bmatrix}$, $\begin{bmatrix}57&40\\38&23\end{bmatrix}$
60.144.3-20.a.1.4	60.144.3.1738	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}13&20\\50&11\end{bmatrix}$, $\begin{bmatrix}19&50\\34&57\end{bmatrix}$, $\begin{bmatrix}31&50\\28&31\end{bmatrix}$, $\begin{bmatrix}37&30\\48&49\end{bmatrix}$, $\begin{bmatrix}53&50\\26&31\end{bmatrix}$
60.144.3-20.a.1.5	60.144.3.1739	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}11&30\\20&11\end{bmatrix}$, $\begin{bmatrix}19&40\\32&27\end{bmatrix}$, $\begin{bmatrix}21&10\\2&59\end{bmatrix}$, $\begin{bmatrix}27&20\\16&27\end{bmatrix}$, $\begin{bmatrix}53&30\\58&43\end{bmatrix}$
60.144.3-20.a.1.6	60.144.3.1741	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}29&20\\42&19\end{bmatrix}$, $\begin{bmatrix}33&10\\32&21\end{bmatrix}$, $\begin{bmatrix}33&20\\58&43\end{bmatrix}$, $\begin{bmatrix}39&40\\38&1\end{bmatrix}$, $\begin{bmatrix}43&50\\12&23\end{bmatrix}$
60.144.3-20.a.1.7	60.144.3.1737	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}19&10\\58&53\end{bmatrix}$, $\begin{bmatrix}23&20\\14&21\end{bmatrix}$, $\begin{bmatrix}23&40\\46&37\end{bmatrix}$, $\begin{bmatrix}31&40\\44&27\end{bmatrix}$, $\begin{bmatrix}41&20\\2&39\end{bmatrix}$
60.144.3-20.a.1.8	60.144.3.60	20J3	$60$	$144$	$3$	$0$	$2$	$8$	$4$	$2^{10}\cdot5^{3}$	✓	$1^{3}$	$1$		$\begin{bmatrix}13&10\\2&31\end{bmatrix}$, $\begin{bmatrix}23&0\\36&31\end{bmatrix}$, $\begin{bmatrix}37&0\\50&7\end{bmatrix}$, $\begin{bmatrix}43&20\\10&37\end{bmatrix}$, $\begin{bmatrix}51&40\\16&7\end{bmatrix}$
60.144.3-30.a.1.1	60.144.3.1995	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}17&45\\48&1\end{bmatrix}$, $\begin{bmatrix}31&15\\36&31\end{bmatrix}$, $\begin{bmatrix}37&0\\14&37\end{bmatrix}$, $\begin{bmatrix}47&30\\6&41\end{bmatrix}$, $\begin{bmatrix}47&45\\44&23\end{bmatrix}$, $\begin{bmatrix}59&0\\56&23\end{bmatrix}$
60.144.3-30.a.1.2	60.144.3.2030	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&0\\38&37\end{bmatrix}$, $\begin{bmatrix}11&45\\48&19\end{bmatrix}$, $\begin{bmatrix}17&45\\42&23\end{bmatrix}$, $\begin{bmatrix}29&30\\30&49\end{bmatrix}$, $\begin{bmatrix}37&45\\58&37\end{bmatrix}$, $\begin{bmatrix}47&45\\54&59\end{bmatrix}$
60.144.3-30.a.1.3	60.144.3.78	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&30\\14&43\end{bmatrix}$, $\begin{bmatrix}1&45\\12&53\end{bmatrix}$, $\begin{bmatrix}11&0\\6&47\end{bmatrix}$, $\begin{bmatrix}13&45\\8&41\end{bmatrix}$, $\begin{bmatrix}23&45\\40&13\end{bmatrix}$, $\begin{bmatrix}23&45\\48&47\end{bmatrix}$
60.144.3-30.a.1.4	60.144.3.1997	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}11&0\\38&23\end{bmatrix}$, $\begin{bmatrix}23&15\\46&19\end{bmatrix}$, $\begin{bmatrix}23&30\\6&19\end{bmatrix}$, $\begin{bmatrix}47&15\\52&41\end{bmatrix}$, $\begin{bmatrix}47&15\\54&37\end{bmatrix}$, $\begin{bmatrix}59&45\\46&17\end{bmatrix}$
60.144.3-30.a.1.5	60.144.3.2028	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}13&45\\52&43\end{bmatrix}$, $\begin{bmatrix}17&45\\2&13\end{bmatrix}$, $\begin{bmatrix}19&45\\24&41\end{bmatrix}$, $\begin{bmatrix}37&0\\36&7\end{bmatrix}$, $\begin{bmatrix}47&45\\56&1\end{bmatrix}$, $\begin{bmatrix}49&0\\20&23\end{bmatrix}$
60.144.3-30.a.1.6	60.144.3.2013	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&0\\36&17\end{bmatrix}$, $\begin{bmatrix}1&30\\2&41\end{bmatrix}$, $\begin{bmatrix}7&30\\42&41\end{bmatrix}$, $\begin{bmatrix}37&30\\42&49\end{bmatrix}$, $\begin{bmatrix}47&0\\26&37\end{bmatrix}$, $\begin{bmatrix}47&45\\52&23\end{bmatrix}$
60.144.3-30.a.1.7	60.144.3.1996	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}13&0\\44&41\end{bmatrix}$, $\begin{bmatrix}13&15\\12&41\end{bmatrix}$, $\begin{bmatrix}17&0\\54&59\end{bmatrix}$, $\begin{bmatrix}37&0\\28&1\end{bmatrix}$, $\begin{bmatrix}37&15\\38&37\end{bmatrix}$, $\begin{bmatrix}41&30\\10&1\end{bmatrix}$
60.144.3-30.a.1.8	60.144.3.2029	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&15\\52&43\end{bmatrix}$, $\begin{bmatrix}23&30\\6&23\end{bmatrix}$, $\begin{bmatrix}37&45\\18&17\end{bmatrix}$, $\begin{bmatrix}47&15\\48&23\end{bmatrix}$, $\begin{bmatrix}53&15\\24&11\end{bmatrix}$, $\begin{bmatrix}59&15\\4&47\end{bmatrix}$
60.144.3-30.a.1.9	60.144.3.79	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&15\\34&23\end{bmatrix}$, $\begin{bmatrix}1&30\\20&41\end{bmatrix}$, $\begin{bmatrix}7&45\\26&29\end{bmatrix}$, $\begin{bmatrix}37&45\\20&47\end{bmatrix}$, $\begin{bmatrix}53&45\\44&29\end{bmatrix}$, $\begin{bmatrix}59&0\\16&1\end{bmatrix}$
60.144.3-30.a.1.10	60.144.3.1998	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}19&30\\16&1\end{bmatrix}$, $\begin{bmatrix}23&15\\20&29\end{bmatrix}$, $\begin{bmatrix}31&45\\56&11\end{bmatrix}$, $\begin{bmatrix}49&45\\0&13\end{bmatrix}$, $\begin{bmatrix}49&45\\40&31\end{bmatrix}$, $\begin{bmatrix}59&30\\42&37\end{bmatrix}$
60.144.3-30.a.1.11	60.144.3.2027	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&0\\42&1\end{bmatrix}$, $\begin{bmatrix}7&15\\40&29\end{bmatrix}$, $\begin{bmatrix}29&15\\26&17\end{bmatrix}$, $\begin{bmatrix}31&0\\32&11\end{bmatrix}$, $\begin{bmatrix}37&0\\42&59\end{bmatrix}$, $\begin{bmatrix}49&45\\52&53\end{bmatrix}$
60.144.3-30.a.1.12	60.144.3.2014	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&45\\54&37\end{bmatrix}$, $\begin{bmatrix}11&15\\2&13\end{bmatrix}$, $\begin{bmatrix}23&15\\34&23\end{bmatrix}$, $\begin{bmatrix}49&15\\48&17\end{bmatrix}$, $\begin{bmatrix}53&45\\10&13\end{bmatrix}$, $\begin{bmatrix}59&30\\10&53\end{bmatrix}$
60.144.3-30.a.1.13	60.144.3.2021	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&15\\2&37\end{bmatrix}$, $\begin{bmatrix}7&30\\12&41\end{bmatrix}$, $\begin{bmatrix}17&30\\14&7\end{bmatrix}$, $\begin{bmatrix}37&45\\44&13\end{bmatrix}$, $\begin{bmatrix}41&15\\58&29\end{bmatrix}$, $\begin{bmatrix}47&30\\28&59\end{bmatrix}$
60.144.3-30.a.1.14	60.144.3.1999	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}11&45\\0&7\end{bmatrix}$, $\begin{bmatrix}29&30\\28&19\end{bmatrix}$, $\begin{bmatrix}31&30\\54&17\end{bmatrix}$, $\begin{bmatrix}41&30\\2&1\end{bmatrix}$, $\begin{bmatrix}41&45\\10&1\end{bmatrix}$, $\begin{bmatrix}47&45\\14&29\end{bmatrix}$
60.144.3-30.a.1.15	60.144.3.2012	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}11&15\\58&31\end{bmatrix}$, $\begin{bmatrix}11&30\\20&17\end{bmatrix}$, $\begin{bmatrix}17&0\\46&7\end{bmatrix}$, $\begin{bmatrix}19&15\\0&59\end{bmatrix}$, $\begin{bmatrix}19&15\\36&19\end{bmatrix}$, $\begin{bmatrix}19&45\\18&7\end{bmatrix}$
60.144.3-30.a.1.16	60.144.3.81	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&0\\20&17\end{bmatrix}$, $\begin{bmatrix}11&30\\10&29\end{bmatrix}$, $\begin{bmatrix}17&15\\32&59\end{bmatrix}$, $\begin{bmatrix}31&0\\54&7\end{bmatrix}$, $\begin{bmatrix}47&30\\54&29\end{bmatrix}$, $\begin{bmatrix}53&30\\8&11\end{bmatrix}$
60.144.3-30.a.1.17	60.144.3.2001	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}17&30\\52&31\end{bmatrix}$, $\begin{bmatrix}23&0\\32&47\end{bmatrix}$, $\begin{bmatrix}29&45\\40&7\end{bmatrix}$, $\begin{bmatrix}31&30\\34&43\end{bmatrix}$, $\begin{bmatrix}47&15\\42&53\end{bmatrix}$, $\begin{bmatrix}49&15\\38&13\end{bmatrix}$
60.144.3-30.a.1.18	60.144.3.73	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}17&0\\26&7\end{bmatrix}$, $\begin{bmatrix}17&0\\46&19\end{bmatrix}$, $\begin{bmatrix}17&15\\10&49\end{bmatrix}$, $\begin{bmatrix}19&15\\56&37\end{bmatrix}$, $\begin{bmatrix}29&30\\10&19\end{bmatrix}$, $\begin{bmatrix}41&0\\34&17\end{bmatrix}$
60.144.3-30.a.1.19	60.144.3.2022	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&15\\30&37\end{bmatrix}$, $\begin{bmatrix}17&30\\26&31\end{bmatrix}$, $\begin{bmatrix}31&30\\10&37\end{bmatrix}$, $\begin{bmatrix}43&15\\56&43\end{bmatrix}$, $\begin{bmatrix}53&45\\54&17\end{bmatrix}$, $\begin{bmatrix}59&15\\10&53\end{bmatrix}$
60.144.3-30.a.1.20	60.144.3.2000	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&15\\6&31\end{bmatrix}$, $\begin{bmatrix}13&30\\34&23\end{bmatrix}$, $\begin{bmatrix}41&45\\0&41\end{bmatrix}$, $\begin{bmatrix}47&0\\30&19\end{bmatrix}$, $\begin{bmatrix}47&45\\22&53\end{bmatrix}$, $\begin{bmatrix}49&45\\36&19\end{bmatrix}$
60.144.3-30.a.1.21	60.144.3.2011	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}29&0\\54&13\end{bmatrix}$, $\begin{bmatrix}41&45\\34&29\end{bmatrix}$, $\begin{bmatrix}43&0\\18&53\end{bmatrix}$, $\begin{bmatrix}43&0\\22&31\end{bmatrix}$, $\begin{bmatrix}43&0\\46&47\end{bmatrix}$, $\begin{bmatrix}53&45\\42&49\end{bmatrix}$
60.144.3-30.a.1.22	60.144.3.80	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&0\\36&41\end{bmatrix}$, $\begin{bmatrix}29&0\\18&11\end{bmatrix}$, $\begin{bmatrix}41&0\\48&11\end{bmatrix}$, $\begin{bmatrix}43&45\\34&1\end{bmatrix}$, $\begin{bmatrix}47&30\\6&17\end{bmatrix}$, $\begin{bmatrix}59&45\\36&7\end{bmatrix}$
60.144.3-30.a.1.23	60.144.3.2002	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&15\\30&43\end{bmatrix}$, $\begin{bmatrix}31&0\\58&59\end{bmatrix}$, $\begin{bmatrix}31&30\\50&49\end{bmatrix}$, $\begin{bmatrix}41&45\\14&41\end{bmatrix}$, $\begin{bmatrix}49&45\\46&23\end{bmatrix}$, $\begin{bmatrix}59&45\\56&43\end{bmatrix}$
60.144.3-30.a.1.24	60.144.3.72	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&30\\58&17\end{bmatrix}$, $\begin{bmatrix}11&45\\58&11\end{bmatrix}$, $\begin{bmatrix}17&45\\58&59\end{bmatrix}$, $\begin{bmatrix}31&45\\50&41\end{bmatrix}$, $\begin{bmatrix}47&15\\36&19\end{bmatrix}$, $\begin{bmatrix}53&15\\16&19\end{bmatrix}$
60.144.3-30.a.1.25	60.144.3.77	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&45\\4&59\end{bmatrix}$, $\begin{bmatrix}11&15\\28&53\end{bmatrix}$, $\begin{bmatrix}29&15\\12&59\end{bmatrix}$, $\begin{bmatrix}31&30\\18&23\end{bmatrix}$, $\begin{bmatrix}53&0\\56&13\end{bmatrix}$, $\begin{bmatrix}53&30\\48&43\end{bmatrix}$
60.144.3-30.a.1.26	60.144.3.2005	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}11&30\\38&59\end{bmatrix}$, $\begin{bmatrix}19&30\\22&1\end{bmatrix}$, $\begin{bmatrix}41&45\\42&43\end{bmatrix}$, $\begin{bmatrix}43&15\\40&23\end{bmatrix}$, $\begin{bmatrix}43&45\\52&29\end{bmatrix}$, $\begin{bmatrix}53&30\\48&1\end{bmatrix}$
60.144.3-30.a.1.27	60.144.3.83	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&30\\16&43\end{bmatrix}$, $\begin{bmatrix}31&30\\10&31\end{bmatrix}$, $\begin{bmatrix}41&45\\18&47\end{bmatrix}$, $\begin{bmatrix}43&0\\12&53\end{bmatrix}$, $\begin{bmatrix}49&15\\0&17\end{bmatrix}$, $\begin{bmatrix}59&45\\30&19\end{bmatrix}$
60.144.3-30.a.1.28	60.144.3.2018	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}7&0\\40&43\end{bmatrix}$, $\begin{bmatrix}31&0\\44&1\end{bmatrix}$, $\begin{bmatrix}47&0\\24&29\end{bmatrix}$, $\begin{bmatrix}47&30\\10&19\end{bmatrix}$, $\begin{bmatrix}53&15\\24&49\end{bmatrix}$, $\begin{bmatrix}53&30\\58&17\end{bmatrix}$
60.144.3-30.a.1.29	60.144.3.2003	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}1&15\\20&11\end{bmatrix}$, $\begin{bmatrix}19&0\\22&11\end{bmatrix}$, $\begin{bmatrix}23&15\\14&59\end{bmatrix}$, $\begin{bmatrix}31&0\\6&13\end{bmatrix}$, $\begin{bmatrix}37&15\\32&19\end{bmatrix}$, $\begin{bmatrix}59&0\\36&41\end{bmatrix}$
60.144.3-30.a.1.30	60.144.3.2020	30K3	$60$	$144$	$3$	$0$	$2$	$8$	$8$	$2\cdot3^{3}\cdot5^{3}$		$1^{3}$	$1$		$\begin{bmatrix}13&0\\6&19\end{bmatrix}$, $\begin{bmatrix}13&0\\48&29\end{bmatrix}$, $\begin{bmatrix}23&30\\38&49\end{bmatrix}$, $\begin{bmatrix}23&30\\46&7\end{bmatrix}$, $\begin{bmatrix}43&45\\24&23\end{bmatrix}$, $\begin{bmatrix}43&45\\30&11\end{bmatrix}$

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