LMFDB - Modular curve search results

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$\Q$-gonality	Cusps	$\Q$-cusps	Elliptic points of order 2	Elliptic points of order 3

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Results (1-50 of at least 1000)

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Label	CP label	Level	Index	Genus	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Simple	Squarefree	Contains -1	Decomposition	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
272.48.0-8.a.1.1	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}11&176\\176&139\end{bmatrix}$, $\begin{bmatrix}51&186\\88&197\end{bmatrix}$, $\begin{bmatrix}151&186\\196&201\end{bmatrix}$, $\begin{bmatrix}169&92\\208&89\end{bmatrix}$, $\begin{bmatrix}197&228\\26&41\end{bmatrix}$
272.48.0-8.a.1.2	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}37&152\\222&193\end{bmatrix}$, $\begin{bmatrix}103&78\\190&233\end{bmatrix}$, $\begin{bmatrix}175&10\\226&233\end{bmatrix}$, $\begin{bmatrix}197&54\\260&203\end{bmatrix}$, $\begin{bmatrix}201&226\\108&63\end{bmatrix}$
272.48.0-16.a.1.1	8G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}43&26\\97&271\end{bmatrix}$, $\begin{bmatrix}87&60\\45&133\end{bmatrix}$, $\begin{bmatrix}91&112\\215&29\end{bmatrix}$
272.48.0-16.a.1.2	8G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}75&82\\72&271\end{bmatrix}$, $\begin{bmatrix}147&184\\25&77\end{bmatrix}$, $\begin{bmatrix}213&206\\249&261\end{bmatrix}$
272.48.0-16.a.1.3	8G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}19&178\\168&151\end{bmatrix}$, $\begin{bmatrix}115&96\\139&21\end{bmatrix}$, $\begin{bmatrix}187&196\\56&155\end{bmatrix}$
272.48.0-16.a.1.4	8G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}117&40\\23&27\end{bmatrix}$, $\begin{bmatrix}157&166\\96&249\end{bmatrix}$, $\begin{bmatrix}247&238\\209&39\end{bmatrix}$
272.48.0-136.a.1.1	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}67&58\\154&181\end{bmatrix}$, $\begin{bmatrix}71&148\\130&123\end{bmatrix}$, $\begin{bmatrix}175&246\\212&249\end{bmatrix}$, $\begin{bmatrix}229&134\\58&127\end{bmatrix}$, $\begin{bmatrix}253&60\\148&25\end{bmatrix}$
272.48.0-136.a.1.2	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}41&180\\2&5\end{bmatrix}$, $\begin{bmatrix}67&68\\170&267\end{bmatrix}$, $\begin{bmatrix}135&168\\100&199\end{bmatrix}$, $\begin{bmatrix}237&254\\214&39\end{bmatrix}$, $\begin{bmatrix}247&118\\186&49\end{bmatrix}$
272.48.0-136.a.1.3	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}41&118\\46&227\end{bmatrix}$, $\begin{bmatrix}79&82\\206&61\end{bmatrix}$, $\begin{bmatrix}157&78\\112&47\end{bmatrix}$, $\begin{bmatrix}225&154\\88&219\end{bmatrix}$, $\begin{bmatrix}269&98\\36&259\end{bmatrix}$
272.48.0-136.a.1.4	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}11&54\\142&169\end{bmatrix}$, $\begin{bmatrix}125&102\\160&147\end{bmatrix}$, $\begin{bmatrix}129&254\\34&155\end{bmatrix}$, $\begin{bmatrix}153&100\\146&169\end{bmatrix}$, $\begin{bmatrix}269&114\\62&115\end{bmatrix}$
272.48.0.a.1	8N0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$10$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}5&38\\34&123\end{bmatrix}$, $\begin{bmatrix}63&170\\242&185\end{bmatrix}$, $\begin{bmatrix}75&30\\178&139\end{bmatrix}$, $\begin{bmatrix}129&184\\236&65\end{bmatrix}$, $\begin{bmatrix}265&62\\206&151\end{bmatrix}$
272.48.0-272.a.1.1	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}163&244\\174&131\end{bmatrix}$, $\begin{bmatrix}233&202\\167&129\end{bmatrix}$, $\begin{bmatrix}249&98\\160&61\end{bmatrix}$
272.48.0-272.a.1.2	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}21&260\\165&263\end{bmatrix}$, $\begin{bmatrix}35&66\\181&31\end{bmatrix}$, $\begin{bmatrix}121&216\\66&49\end{bmatrix}$
272.48.0-272.a.1.3	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}45&58\\231&109\end{bmatrix}$, $\begin{bmatrix}125&12\\87&255\end{bmatrix}$, $\begin{bmatrix}251&248\\257&149\end{bmatrix}$
272.48.0-272.a.1.4	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}39&210\\87&231\end{bmatrix}$, $\begin{bmatrix}65&54\\126&57\end{bmatrix}$, $\begin{bmatrix}153&114\\251&17\end{bmatrix}$
272.48.0-272.a.1.5	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}79&60\\63&205\end{bmatrix}$, $\begin{bmatrix}179&202\\260&23\end{bmatrix}$, $\begin{bmatrix}195&128\\96&3\end{bmatrix}$
272.48.0-272.a.1.6	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}65&80\\37&183\end{bmatrix}$, $\begin{bmatrix}105&138\\100&21\end{bmatrix}$, $\begin{bmatrix}107&60\\134&59\end{bmatrix}$
272.48.0-272.a.1.7	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}27&144\\139&37\end{bmatrix}$, $\begin{bmatrix}113&212\\164&193\end{bmatrix}$, $\begin{bmatrix}243&186\\264&71\end{bmatrix}$
272.48.0-272.a.1.8	8G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}147&22\\247&215\end{bmatrix}$, $\begin{bmatrix}209&118\\5&233\end{bmatrix}$, $\begin{bmatrix}237&100\\59&127\end{bmatrix}$
272.48.0-16.b.1.1	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}41&10\\201&85\end{bmatrix}$, $\begin{bmatrix}233&80\\35&255\end{bmatrix}$, $\begin{bmatrix}259&270\\215&119\end{bmatrix}$
272.48.0-16.b.1.2	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}37&142\\55&169\end{bmatrix}$, $\begin{bmatrix}93&114\\156&177\end{bmatrix}$, $\begin{bmatrix}179&98\\125&7\end{bmatrix}$
272.48.0-16.b.1.3	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}139&150\\245&179\end{bmatrix}$, $\begin{bmatrix}217&270\\154&1\end{bmatrix}$, $\begin{bmatrix}231&116\\93&181\end{bmatrix}$
272.48.0-16.b.1.4	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}67&174\\188&127\end{bmatrix}$, $\begin{bmatrix}103&256\\224&231\end{bmatrix}$, $\begin{bmatrix}155&60\\179&169\end{bmatrix}$
272.48.0.b.1	8N0	$272$	$48$	$0$	$2$	$10$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}57&70\\238&175\end{bmatrix}$, $\begin{bmatrix}107&188\\32&181\end{bmatrix}$, $\begin{bmatrix}169&76\\196&87\end{bmatrix}$, $\begin{bmatrix}177&128\\76&175\end{bmatrix}$, $\begin{bmatrix}261&30\\194&181\end{bmatrix}$
272.48.0-272.b.1.1	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}21&34\\203&245\end{bmatrix}$, $\begin{bmatrix}161&124\\27&259\end{bmatrix}$, $\begin{bmatrix}173&50\\92&89\end{bmatrix}$
272.48.0-272.b.1.2	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}151&46\\267&59\end{bmatrix}$, $\begin{bmatrix}157&100\\209&215\end{bmatrix}$, $\begin{bmatrix}197&228\\51&31\end{bmatrix}$
272.48.0-272.b.1.3	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}41&232\\257&215\end{bmatrix}$, $\begin{bmatrix}55&100\\260&135\end{bmatrix}$, $\begin{bmatrix}237&246\\246&117\end{bmatrix}$
272.48.0-272.b.1.4	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}11&268\\49&49\end{bmatrix}$, $\begin{bmatrix}29&144\\28&141\end{bmatrix}$, $\begin{bmatrix}173&202\\226&181\end{bmatrix}$
272.48.0-272.b.1.5	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}93&162\\244&193\end{bmatrix}$, $\begin{bmatrix}103&58\\184&99\end{bmatrix}$, $\begin{bmatrix}233&212\\173&43\end{bmatrix}$
272.48.0-272.b.1.6	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}41&58\\81&165\end{bmatrix}$, $\begin{bmatrix}213&110\\49&205\end{bmatrix}$, $\begin{bmatrix}221&144\\197&75\end{bmatrix}$
272.48.0-272.b.1.7	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}13&30\\130&269\end{bmatrix}$, $\begin{bmatrix}51&74\\180&207\end{bmatrix}$, $\begin{bmatrix}105&40\\39&159\end{bmatrix}$
272.48.0-272.b.1.8	8G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}3&4\\216&235\end{bmatrix}$, $\begin{bmatrix}71&250\\188&227\end{bmatrix}$, $\begin{bmatrix}99&32\\29&213\end{bmatrix}$
272.48.0-16.c.1.1	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}93&196\\0&165\end{bmatrix}$, $\begin{bmatrix}252&225\\133&78\end{bmatrix}$, $\begin{bmatrix}252&233\\115&42\end{bmatrix}$
272.48.0-16.c.1.2	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}93&234\\150&31\end{bmatrix}$, $\begin{bmatrix}227&0\\56&171\end{bmatrix}$, $\begin{bmatrix}242&249\\195&232\end{bmatrix}$
272.48.0-16.c.1.3	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}19&38\\90&209\end{bmatrix}$, $\begin{bmatrix}86&157\\121&104\end{bmatrix}$, $\begin{bmatrix}92&99\\119&82\end{bmatrix}$
272.48.0-16.c.1.4	4G0	$272$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}32&159\\99&126\end{bmatrix}$, $\begin{bmatrix}140&15\\171&14\end{bmatrix}$, $\begin{bmatrix}216&97\\227&42\end{bmatrix}$
272.48.0.c.1	8N0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$10$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}57&0\\36&157\end{bmatrix}$, $\begin{bmatrix}77&68\\208&231\end{bmatrix}$, $\begin{bmatrix}181&154\\2&87\end{bmatrix}$, $\begin{bmatrix}207&182\\210&93\end{bmatrix}$, $\begin{bmatrix}237&110\\206&163\end{bmatrix}$
272.48.0-272.c.1.1	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}68&39\\253&214\end{bmatrix}$, $\begin{bmatrix}176&51\\9&210\end{bmatrix}$, $\begin{bmatrix}195&208\\104&85\end{bmatrix}$
272.48.0-272.c.1.2	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}130&47\\237&188\end{bmatrix}$, $\begin{bmatrix}268&79\\91&14\end{bmatrix}$, $\begin{bmatrix}269&66\\10&223\end{bmatrix}$
272.48.0-272.c.1.3	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}148&33\\165&14\end{bmatrix}$, $\begin{bmatrix}245&136\\36&149\end{bmatrix}$, $\begin{bmatrix}267&152\\208&93\end{bmatrix}$
272.48.0-272.c.1.4	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}9&148\\156&263\end{bmatrix}$, $\begin{bmatrix}104&241\\59&14\end{bmatrix}$, $\begin{bmatrix}199&228\\240&127\end{bmatrix}$
272.48.0-272.c.1.5	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}122&171\\159&76\end{bmatrix}$, $\begin{bmatrix}132&33\\155&70\end{bmatrix}$, $\begin{bmatrix}191&120\\92&161\end{bmatrix}$
272.48.0-272.c.1.6	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}39&210\\62&11\end{bmatrix}$, $\begin{bmatrix}48&195\\47&262\end{bmatrix}$, $\begin{bmatrix}258&67\\81&28\end{bmatrix}$
272.48.0-272.c.1.7	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}118&241\\43&84\end{bmatrix}$, $\begin{bmatrix}150&105\\141&236\end{bmatrix}$, $\begin{bmatrix}194&75\\17&72\end{bmatrix}$
272.48.0-272.c.1.8	4G0	$272$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}26&251\\95&104\end{bmatrix}$, $\begin{bmatrix}132&197\\119&86\end{bmatrix}$, $\begin{bmatrix}216&109\\57&34\end{bmatrix}$
272.48.0-16.d.1.1	4G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}120&197\\207&62\end{bmatrix}$, $\begin{bmatrix}204&127\\45&70\end{bmatrix}$, $\begin{bmatrix}214&101\\57&116\end{bmatrix}$
272.48.0-16.d.1.2	4G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}1&214\\210&139\end{bmatrix}$, $\begin{bmatrix}110&221\\207&248\end{bmatrix}$, $\begin{bmatrix}258&117\\215&248\end{bmatrix}$
272.48.0-16.d.1.3	4G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}46&57\\245&60\end{bmatrix}$, $\begin{bmatrix}48&1\\123&118\end{bmatrix}$, $\begin{bmatrix}92&263\\213&22\end{bmatrix}$
272.48.0-16.d.1.4	4G0	$272$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}0&229\\175&102\end{bmatrix}$, $\begin{bmatrix}160&15\\37&218\end{bmatrix}$, $\begin{bmatrix}163&90\\142&121\end{bmatrix}$
272.48.0.d.1	8N0	$272$	$48$	$0$	$2$	$10$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}53&102\\190&69\end{bmatrix}$, $\begin{bmatrix}59&142\\238&193\end{bmatrix}$, $\begin{bmatrix}135&28\\192&17\end{bmatrix}$, $\begin{bmatrix}185&264\\32&131\end{bmatrix}$, $\begin{bmatrix}247&92\\148&229\end{bmatrix}$

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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.