LMFDB - Modular curve search results

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Label	RSZB label	CP label	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
60.48.0-4.a.1.1	60.48.0.1	4G0	$60$	$48$	$0$	$0$	$2$	$6$	$0$		$?$	?	?		not computed		$0$	✓	$\begin{bmatrix}35&12\\4&11\end{bmatrix}$, $\begin{bmatrix}37&44\\44&57\end{bmatrix}$, $\begin{bmatrix}43&2\\54&29\end{bmatrix}$
60.48.0-6.a.1.1	60.48.0.21	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}5&34\\42&13\end{bmatrix}$, $\begin{bmatrix}11&32\\6&13\end{bmatrix}$, $\begin{bmatrix}25&32\\36&11\end{bmatrix}$, $\begin{bmatrix}41&0\\18&19\end{bmatrix}$, $\begin{bmatrix}53&12\\12&37\end{bmatrix}$, $\begin{bmatrix}53&24\\12&43\end{bmatrix}$
60.48.0-6.a.1.2	60.48.0.16	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}11&48\\12&49\end{bmatrix}$, $\begin{bmatrix}13&38\\48&29\end{bmatrix}$, $\begin{bmatrix}19&26\\42&59\end{bmatrix}$, $\begin{bmatrix}29&38\\24&1\end{bmatrix}$, $\begin{bmatrix}29&56\\0&1\end{bmatrix}$, $\begin{bmatrix}31&26\\36&47\end{bmatrix}$
60.48.0-6.a.1.3	60.48.0.22	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}7&34\\0&43\end{bmatrix}$, $\begin{bmatrix}7&44\\36&49\end{bmatrix}$, $\begin{bmatrix}17&4\\24&29\end{bmatrix}$, $\begin{bmatrix}19&0\\48&19\end{bmatrix}$, $\begin{bmatrix}35&28\\18&17\end{bmatrix}$, $\begin{bmatrix}47&12\\0&1\end{bmatrix}$
60.48.0-6.a.1.4	60.48.0.24	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}25&56\\54&35\end{bmatrix}$, $\begin{bmatrix}29&10\\48&31\end{bmatrix}$, $\begin{bmatrix}47&8\\54&59\end{bmatrix}$, $\begin{bmatrix}49&50\\24&43\end{bmatrix}$, $\begin{bmatrix}53&58\\30&19\end{bmatrix}$, $\begin{bmatrix}59&56\\24&43\end{bmatrix}$
60.48.0-6.a.1.5	60.48.0.20	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}1&2\\42&35\end{bmatrix}$, $\begin{bmatrix}17&56\\6&29\end{bmatrix}$, $\begin{bmatrix}19&38\\6&31\end{bmatrix}$, $\begin{bmatrix}31&42\\30&29\end{bmatrix}$, $\begin{bmatrix}53&54\\36&11\end{bmatrix}$, $\begin{bmatrix}55&14\\24&53\end{bmatrix}$
60.48.0-6.a.1.6	60.48.0.18	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}1&34\\30&29\end{bmatrix}$, $\begin{bmatrix}7&12\\48&41\end{bmatrix}$, $\begin{bmatrix}11&18\\6&59\end{bmatrix}$, $\begin{bmatrix}13&58\\42&43\end{bmatrix}$, $\begin{bmatrix}17&40\\24&31\end{bmatrix}$, $\begin{bmatrix}53&38\\48&17\end{bmatrix}$
60.48.0-6.a.1.7	60.48.0.23	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}5&28\\6&31\end{bmatrix}$, $\begin{bmatrix}11&38\\24&29\end{bmatrix}$, $\begin{bmatrix}17&10\\18&31\end{bmatrix}$, $\begin{bmatrix}19&28\\24&49\end{bmatrix}$, $\begin{bmatrix}19&34\\48&19\end{bmatrix}$, $\begin{bmatrix}37&42\\24&23\end{bmatrix}$
60.48.0-6.a.1.8	60.48.0.25	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}23&34\\18&1\end{bmatrix}$, $\begin{bmatrix}23&50\\36&49\end{bmatrix}$, $\begin{bmatrix}23&58\\18&29\end{bmatrix}$, $\begin{bmatrix}25&26\\24&23\end{bmatrix}$, $\begin{bmatrix}29&12\\30&29\end{bmatrix}$, $\begin{bmatrix}47&26\\0&59\end{bmatrix}$
60.48.0-6.a.1.9	60.48.0.17	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}17&34\\48&17\end{bmatrix}$, $\begin{bmatrix}19&4\\6&7\end{bmatrix}$, $\begin{bmatrix}29&30\\6&11\end{bmatrix}$, $\begin{bmatrix}35&28\\24&5\end{bmatrix}$, $\begin{bmatrix}37&22\\12&41\end{bmatrix}$, $\begin{bmatrix}47&56\\6&25\end{bmatrix}$
60.48.0-6.a.1.10	60.48.0.19	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$6$		$?$	?	?		not computed		$111$		$\begin{bmatrix}7&42\\12&49\end{bmatrix}$, $\begin{bmatrix}17&28\\42&47\end{bmatrix}$, $\begin{bmatrix}37&14\\30&11\end{bmatrix}$, $\begin{bmatrix}41&8\\0&13\end{bmatrix}$, $\begin{bmatrix}55&16\\48&7\end{bmatrix}$, $\begin{bmatrix}59&36\\18&49\end{bmatrix}$
60.48.0-12.a.1.1	60.48.0.148	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}1&42\\38&43\end{bmatrix}$, $\begin{bmatrix}17&28\\46&21\end{bmatrix}$, $\begin{bmatrix}35&44\\8&43\end{bmatrix}$
60.48.0-12.a.1.2	60.48.0.149	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}5&2\\48&19\end{bmatrix}$, $\begin{bmatrix}17&28\\10&21\end{bmatrix}$, $\begin{bmatrix}19&30\\8&17\end{bmatrix}$
60.48.0-20.a.1.1	60.48.0.142	4G0	$60$	$48$	$0$	$0$	$2$	$6$	$0$		$?$	?	?		not computed		$0$	✓	$\begin{bmatrix}11&2\\20&3\end{bmatrix}$, $\begin{bmatrix}35&2\\22&21\end{bmatrix}$, $\begin{bmatrix}47&0\\16&7\end{bmatrix}$
60.48.0-20.a.1.2	60.48.0.146	4G0	$60$	$48$	$0$	$0$	$2$	$6$	$0$		$?$	?	?		not computed		$0$	✓	$\begin{bmatrix}1&20\\18&7\end{bmatrix}$, $\begin{bmatrix}15&38\\58&49\end{bmatrix}$, $\begin{bmatrix}21&38\\44&45\end{bmatrix}$
60.48.0-30.a.1.1	60.48.0.262	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}13&52\\48&35\end{bmatrix}$, $\begin{bmatrix}49&8\\21&5\end{bmatrix}$, $\begin{bmatrix}53&44\\15&19\end{bmatrix}$, $\begin{bmatrix}59&30\\54&19\end{bmatrix}$
60.48.0-30.a.1.2	60.48.0.206	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}11&6\\12&11\end{bmatrix}$, $\begin{bmatrix}19&38\\48&25\end{bmatrix}$, $\begin{bmatrix}35&22\\18&31\end{bmatrix}$, $\begin{bmatrix}55&4\\27&37\end{bmatrix}$
60.48.0-30.a.1.3	60.48.0.190	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}7&58\\21&43\end{bmatrix}$, $\begin{bmatrix}11&22\\57&37\end{bmatrix}$, $\begin{bmatrix}19&16\\6&13\end{bmatrix}$, $\begin{bmatrix}55&58\\48&35\end{bmatrix}$
60.48.0-30.a.1.4	60.48.0.246	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}5&28\\48&35\end{bmatrix}$, $\begin{bmatrix}29&28\\15&7\end{bmatrix}$, $\begin{bmatrix}35&6\\3&19\end{bmatrix}$, $\begin{bmatrix}53&12\\3&23\end{bmatrix}$
60.48.0-30.a.1.5	60.48.0.174	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}31&10\\33&43\end{bmatrix}$, $\begin{bmatrix}35&22\\39&7\end{bmatrix}$, $\begin{bmatrix}37&28\\54&23\end{bmatrix}$, $\begin{bmatrix}59&16\\15&17\end{bmatrix}$
60.48.0-30.a.1.6	60.48.0.158	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}11&30\\45&53\end{bmatrix}$, $\begin{bmatrix}19&52\\54&13\end{bmatrix}$, $\begin{bmatrix}31&56\\24&23\end{bmatrix}$, $\begin{bmatrix}59&42\\18&43\end{bmatrix}$
60.48.0-30.a.1.7	60.48.0.270	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}13&42\\36&37\end{bmatrix}$, $\begin{bmatrix}13&48\\33&47\end{bmatrix}$, $\begin{bmatrix}19&32\\9&25\end{bmatrix}$, $\begin{bmatrix}59&32\\15&23\end{bmatrix}$
60.48.0-30.a.1.8	60.48.0.214	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}1&16\\54&23\end{bmatrix}$, $\begin{bmatrix}11&56\\51&13\end{bmatrix}$, $\begin{bmatrix}43&2\\9&37\end{bmatrix}$, $\begin{bmatrix}43&20\\51&1\end{bmatrix}$
60.48.0-30.a.1.9	60.48.0.198	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}29&32\\45&17\end{bmatrix}$, $\begin{bmatrix}31&58\\27&53\end{bmatrix}$, $\begin{bmatrix}59&54\\12&23\end{bmatrix}$, $\begin{bmatrix}59&58\\6&1\end{bmatrix}$
60.48.0-30.a.1.10	60.48.0.254	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}5&26\\57&5\end{bmatrix}$, $\begin{bmatrix}13&8\\57&1\end{bmatrix}$, $\begin{bmatrix}37&22\\3&19\end{bmatrix}$, $\begin{bmatrix}59&6\\15&37\end{bmatrix}$
60.48.0-30.a.1.11	60.48.0.182	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}25&26\\27&17\end{bmatrix}$, $\begin{bmatrix}29&8\\30&19\end{bmatrix}$, $\begin{bmatrix}31&2\\48&17\end{bmatrix}$, $\begin{bmatrix}41&20\\30&11\end{bmatrix}$
60.48.0-30.a.1.12	60.48.0.166	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$89$		$\begin{bmatrix}11&26\\27&59\end{bmatrix}$, $\begin{bmatrix}13&32\\27&49\end{bmatrix}$, $\begin{bmatrix}41&30\\15&47\end{bmatrix}$, $\begin{bmatrix}49&34\\51&59\end{bmatrix}$
60.48.0.a.1	60.48.0.15	12I0	$60$	$48$	$0$	$0$	$1$	$10$	$2$		$?$	?	?	✓	not computed	$1$	$13$		$\begin{bmatrix}1&26\\54&31\end{bmatrix}$, $\begin{bmatrix}11&10\\48&13\end{bmatrix}$, $\begin{bmatrix}35&18\\12&5\end{bmatrix}$, $\begin{bmatrix}41&28\\30&7\end{bmatrix}$, $\begin{bmatrix}53&46\\36&11\end{bmatrix}$, $\begin{bmatrix}53&54\\6&5\end{bmatrix}$
60.48.0-60.a.1.1	60.48.0.10	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}21&2\\52&41\end{bmatrix}$, $\begin{bmatrix}37&44\\4&37\end{bmatrix}$, $\begin{bmatrix}59&46\\30&41\end{bmatrix}$
60.48.0-60.a.1.2	60.48.0.141	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}7&58\\20&43\end{bmatrix}$, $\begin{bmatrix}27&22\\46&45\end{bmatrix}$, $\begin{bmatrix}31&36\\50&29\end{bmatrix}$
60.48.0-60.a.1.3	60.48.0.6	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}5&26\\42&43\end{bmatrix}$, $\begin{bmatrix}31&54\\16&7\end{bmatrix}$, $\begin{bmatrix}37&32\\52&1\end{bmatrix}$
60.48.0-60.a.1.4	60.48.0.145	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$0$	?	$\begin{bmatrix}1&58\\48&5\end{bmatrix}$, $\begin{bmatrix}21&10\\22&23\end{bmatrix}$, $\begin{bmatrix}35&38\\42&17\end{bmatrix}$
60.48.0.a.2	60.48.0.14	12I0	$60$	$48$	$0$	$0$	$1$	$10$	$2$		$?$	?	?	✓	not computed	$1$	$13$		$\begin{bmatrix}1&6\\6&53\end{bmatrix}$, $\begin{bmatrix}7&50\\30&17\end{bmatrix}$, $\begin{bmatrix}13&52\\54&17\end{bmatrix}$, $\begin{bmatrix}17&28\\0&49\end{bmatrix}$, $\begin{bmatrix}17&38\\30&23\end{bmatrix}$, $\begin{bmatrix}37&2\\48&5\end{bmatrix}$
60.48.0-4.b.1.1	60.48.0.11	4G0	$60$	$48$	$0$	$0$	$1$	$6$	$4$		$?$	?	?		not computed		$62$		$\begin{bmatrix}3&38\\52&45\end{bmatrix}$, $\begin{bmatrix}15&28\\56&43\end{bmatrix}$, $\begin{bmatrix}49&0\\28&17\end{bmatrix}$
60.48.0-6.b.1.1	60.48.0.39	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}16&17\\15&32\end{bmatrix}$, $\begin{bmatrix}19&2\\12&55\end{bmatrix}$, $\begin{bmatrix}19&6\\6&1\end{bmatrix}$, $\begin{bmatrix}41&2\\0&11\end{bmatrix}$
60.48.0-6.b.1.2	60.48.0.38	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}29&22\\54&11\end{bmatrix}$, $\begin{bmatrix}37&4\\42&1\end{bmatrix}$, $\begin{bmatrix}43&24\\48&13\end{bmatrix}$, $\begin{bmatrix}44&57\\21&34\end{bmatrix}$
60.48.0-6.b.1.3	60.48.0.42	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}26&45\\45&22\end{bmatrix}$, $\begin{bmatrix}28&15\\15&32\end{bmatrix}$, $\begin{bmatrix}50&51\\57&22\end{bmatrix}$, $\begin{bmatrix}59&4\\42&53\end{bmatrix}$
60.48.0-6.b.1.4	60.48.0.43	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}16&19\\33&20\end{bmatrix}$, $\begin{bmatrix}37&22\\36&55\end{bmatrix}$, $\begin{bmatrix}44&39\\45&22\end{bmatrix}$, $\begin{bmatrix}47&56\\12&47\end{bmatrix}$
60.48.0-6.b.1.5	60.48.0.40	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}16&55\\3&56\end{bmatrix}$, $\begin{bmatrix}44&1\\15&16\end{bmatrix}$, $\begin{bmatrix}47&48\\6&53\end{bmatrix}$, $\begin{bmatrix}59&4\\24&47\end{bmatrix}$
60.48.0-6.b.1.6	60.48.0.41	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$	✓	$?$	?	?		not computed		$70$		$\begin{bmatrix}22&29\\3&20\end{bmatrix}$, $\begin{bmatrix}32&33\\27&52\end{bmatrix}$, $\begin{bmatrix}34&43\\27&20\end{bmatrix}$, $\begin{bmatrix}34&45\\45&38\end{bmatrix}$
60.48.0-12.b.1.1	60.48.0.150	4G0	$60$	$48$	$0$	$0$	$2$	$6$	$0$		$?$	?	?		not computed		$0$	✓	$\begin{bmatrix}27&52\\56&47\end{bmatrix}$, $\begin{bmatrix}41&10\\14&11\end{bmatrix}$, $\begin{bmatrix}41&44\\42&47\end{bmatrix}$
60.48.0-12.b.1.2	60.48.0.151	4G0	$60$	$48$	$0$	$0$	$2$	$6$	$0$		$?$	?	?		not computed		$0$	✓	$\begin{bmatrix}7&34\\14&1\end{bmatrix}$, $\begin{bmatrix}13&36\\18&19\end{bmatrix}$, $\begin{bmatrix}43&8\\6&25\end{bmatrix}$
60.48.0-20.b.1.1	60.48.0.143	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$9$	?	$\begin{bmatrix}31&42\\46&25\end{bmatrix}$, $\begin{bmatrix}43&42\\54&55\end{bmatrix}$, $\begin{bmatrix}53&14\\2&57\end{bmatrix}$
60.48.0-20.b.1.2	60.48.0.147	4G0	$60$	$48$	$0$	$0$	$1 \le \gamma \le 2$	$6$	$0$		$?$	?	?		not computed		$9$	?	$\begin{bmatrix}3&28\\16&59\end{bmatrix}$, $\begin{bmatrix}15&22\\34&13\end{bmatrix}$, $\begin{bmatrix}59&20\\48&49\end{bmatrix}$
60.48.0-30.b.1.1	60.48.0.265	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}14&13\\33&52\end{bmatrix}$, $\begin{bmatrix}17&40\\54&1\end{bmatrix}$, $\begin{bmatrix}46&7\\57&50\end{bmatrix}$, $\begin{bmatrix}55&22\\24&53\end{bmatrix}$
60.48.0-30.b.1.2	60.48.0.273	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}2&11\\33&50\end{bmatrix}$, $\begin{bmatrix}4&53\\33&50\end{bmatrix}$, $\begin{bmatrix}28&29\\21&52\end{bmatrix}$, $\begin{bmatrix}56&57\\15&38\end{bmatrix}$
60.48.0-30.b.1.3	60.48.0.207	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}4&57\\3&8\end{bmatrix}$, $\begin{bmatrix}17&34\\24&7\end{bmatrix}$, $\begin{bmatrix}23&36\\18&7\end{bmatrix}$, $\begin{bmatrix}26&15\\51&16\end{bmatrix}$
60.48.0-30.b.1.4	60.48.0.199	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}19&26\\54&23\end{bmatrix}$, $\begin{bmatrix}25&48\\18&31\end{bmatrix}$, $\begin{bmatrix}46&19\\57&46\end{bmatrix}$, $\begin{bmatrix}53&58\\0&1\end{bmatrix}$
60.48.0-30.b.1.5	60.48.0.215	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}17&48\\42&11\end{bmatrix}$, $\begin{bmatrix}28&33\\3&52\end{bmatrix}$, $\begin{bmatrix}46&49\\9&20\end{bmatrix}$, $\begin{bmatrix}47&46\\24&59\end{bmatrix}$
60.48.0-30.b.1.6	60.48.0.191	6I0	$60$	$48$	$0$	$0$	$1$	$6$	$2$		$?$	?	?		not computed		$81$		$\begin{bmatrix}23&24\\0&17\end{bmatrix}$, $\begin{bmatrix}41&28\\42&5\end{bmatrix}$, $\begin{bmatrix}52&31\\51&34\end{bmatrix}$, $\begin{bmatrix}59&56\\6&1\end{bmatrix}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.