LMFDB - Modular curve search results

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Level	Index	Genus	Rank	Genus-rank difference

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

Simple	Squarefree	CM points	Fiber product with	Minimally covers

Minimally covered by	Contains $-I$	Points	Obstructions	Family

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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
296.2.0.a.1	2A0	$296$	$2$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}150&33\\229&18\end{bmatrix}$, $\begin{bmatrix}185&98\\14&143\end{bmatrix}$, $\begin{bmatrix}226&177\\95&271\end{bmatrix}$
296.2.0.b.1	2A0	$296$	$2$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}84&171\\239&21\end{bmatrix}$, $\begin{bmatrix}208&171\\209&96\end{bmatrix}$, $\begin{bmatrix}235&134\\127&67\end{bmatrix}$
296.4.0-2.a.1.1	2A0	$296$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}68&43\\191&207\end{bmatrix}$, $\begin{bmatrix}77&77\\271&130\end{bmatrix}$, $\begin{bmatrix}146&189\\231&151\end{bmatrix}$
296.4.0-4.a.1.1	2A0	$296$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}6&253\\157&113\end{bmatrix}$, $\begin{bmatrix}33&73\\215&212\end{bmatrix}$, $\begin{bmatrix}62&263\\207&188\end{bmatrix}$
296.6.0.a.1	2C0	$296$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}58&133\\141&114\end{bmatrix}$, $\begin{bmatrix}119&184\\70&251\end{bmatrix}$, $\begin{bmatrix}188&131\\25&42\end{bmatrix}$, $\begin{bmatrix}232&89\\95&122\end{bmatrix}$
296.6.0.b.1	2C0	$296$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}10&295\\285&294\end{bmatrix}$, $\begin{bmatrix}123&170\\290&205\end{bmatrix}$, $\begin{bmatrix}131&248\\26&121\end{bmatrix}$, $\begin{bmatrix}142&261\\23&184\end{bmatrix}$
296.6.0.c.1	4B0	$296$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}9&276\\162&239\end{bmatrix}$, $\begin{bmatrix}48&179\\11&84\end{bmatrix}$, $\begin{bmatrix}97&200\\132&221\end{bmatrix}$, $\begin{bmatrix}279&80\\252&265\end{bmatrix}$
296.6.0.d.1	4B0	$296$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}43&176\\172&65\end{bmatrix}$, $\begin{bmatrix}52&65\\241&162\end{bmatrix}$, $\begin{bmatrix}77&216\\274&263\end{bmatrix}$, $\begin{bmatrix}215&10\\210&87\end{bmatrix}$
296.6.0.e.1	4C0	$296$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}161&244\\2&157\end{bmatrix}$, $\begin{bmatrix}192&275\\241&196\end{bmatrix}$, $\begin{bmatrix}202&287\\143&80\end{bmatrix}$, $\begin{bmatrix}287&48\\222&39\end{bmatrix}$
296.6.0.f.1	4C0	$296$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}67&6\\278&169\end{bmatrix}$, $\begin{bmatrix}270&85\\187&126\end{bmatrix}$, $\begin{bmatrix}285&174\\30&259\end{bmatrix}$, $\begin{bmatrix}289&166\\212&107\end{bmatrix}$
296.8.0.a.1	4D0	$296$	$8$	$0$	$1 \le \gamma \le 2$	$2$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}173&237\\39&82\end{bmatrix}$, $\begin{bmatrix}241&244\\205&275\end{bmatrix}$, $\begin{bmatrix}257&181\\231&78\end{bmatrix}$
296.8.0.b.1	4D0	$296$	$8$	$0$	$2$	$2$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}63&71\\101&218\end{bmatrix}$, $\begin{bmatrix}103&240\\168&19\end{bmatrix}$, $\begin{bmatrix}166&251\\105&90\end{bmatrix}$
296.12.0-2.a.1.1	2C0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}5&54\\84&213\end{bmatrix}$, $\begin{bmatrix}35&292\\130&45\end{bmatrix}$, $\begin{bmatrix}51&34\\176&189\end{bmatrix}$, $\begin{bmatrix}97&14\\80&141\end{bmatrix}$, $\begin{bmatrix}187&64\\244&135\end{bmatrix}$
296.12.0-2.a.1.2	2C0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}61&228\\102&73\end{bmatrix}$, $\begin{bmatrix}121&214\\276&245\end{bmatrix}$, $\begin{bmatrix}143&282\\118&9\end{bmatrix}$, $\begin{bmatrix}237&140\\54&239\end{bmatrix}$, $\begin{bmatrix}255&228\\202&13\end{bmatrix}$
296.12.0-4.a.1.1	2C0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}50&107\\99&88\end{bmatrix}$, $\begin{bmatrix}194&255\\31&78\end{bmatrix}$, $\begin{bmatrix}206&277\\213&64\end{bmatrix}$, $\begin{bmatrix}280&207\\139&190\end{bmatrix}$
296.12.0-4.a.1.2	2C0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}149&132\\70&113\end{bmatrix}$, $\begin{bmatrix}191&284\\136&211\end{bmatrix}$, $\begin{bmatrix}204&123\\219&204\end{bmatrix}$, $\begin{bmatrix}279&164\\234&235\end{bmatrix}$
296.12.0-74.a.1.1	2C0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$3$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}111&52\\44&9\end{bmatrix}$, $\begin{bmatrix}199&223\\231&252\end{bmatrix}$, $\begin{bmatrix}266&123\\209&155\end{bmatrix}$
296.12.0-74.a.1.2	2C0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$3$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}65&229\\289&246\end{bmatrix}$, $\begin{bmatrix}101&161\\83&136\end{bmatrix}$, $\begin{bmatrix}274&203\\117&289\end{bmatrix}$
296.12.0-74.a.1.3	2C0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$3$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}89&238\\144&195\end{bmatrix}$, $\begin{bmatrix}148&141\\283&275\end{bmatrix}$, $\begin{bmatrix}269&292\\140&167\end{bmatrix}$
296.12.0-74.a.1.4	2C0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$3$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}59&254\\78&229\end{bmatrix}$, $\begin{bmatrix}153&255\\285&202\end{bmatrix}$, $\begin{bmatrix}241&118\\208&183\end{bmatrix}$
296.12.0.a.1	4E0	$296$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}13&122\\230&285\end{bmatrix}$, $\begin{bmatrix}55&40\\26&89\end{bmatrix}$, $\begin{bmatrix}101&112\\130&55\end{bmatrix}$, $\begin{bmatrix}183&220\\8&215\end{bmatrix}$, $\begin{bmatrix}185&140\\38&165\end{bmatrix}$
296.12.0-4.b.1.1	4B0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}49&168\\68&119\end{bmatrix}$, $\begin{bmatrix}94&267\\205&12\end{bmatrix}$, $\begin{bmatrix}133&202\\122&165\end{bmatrix}$, $\begin{bmatrix}148&51\\93&170\end{bmatrix}$
296.12.0-4.b.1.2	4B0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}24&149\\293&154\end{bmatrix}$, $\begin{bmatrix}62&143\\9&72\end{bmatrix}$, $\begin{bmatrix}114&93\\271&104\end{bmatrix}$, $\begin{bmatrix}268&255\\283&246\end{bmatrix}$
296.12.0-4.b.1.3	4B0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}194&103\\115&192\end{bmatrix}$, $\begin{bmatrix}203&30\\190&79\end{bmatrix}$, $\begin{bmatrix}204&217\\215&158\end{bmatrix}$, $\begin{bmatrix}247&192\\176&267\end{bmatrix}$
296.12.0-4.b.1.4	4B0	$296$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}188&199\\155&86\end{bmatrix}$, $\begin{bmatrix}191&116\\76&7\end{bmatrix}$, $\begin{bmatrix}214&159\\173&116\end{bmatrix}$, $\begin{bmatrix}268&245\\107&258\end{bmatrix}$
296.12.0.b.1	4E0	$296$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}19&122\\236&225\end{bmatrix}$, $\begin{bmatrix}165&234\\96&37\end{bmatrix}$, $\begin{bmatrix}249&60\\216&71\end{bmatrix}$, $\begin{bmatrix}279&240\\10&257\end{bmatrix}$, $\begin{bmatrix}283&162\\4&69\end{bmatrix}$
296.12.0-4.c.1.1	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}82&89\\183&232\end{bmatrix}$, $\begin{bmatrix}113&274\\66&229\end{bmatrix}$, $\begin{bmatrix}120&185\\53&288\end{bmatrix}$, $\begin{bmatrix}191&194\\242&75\end{bmatrix}$, $\begin{bmatrix}203&180\\30&117\end{bmatrix}$
296.12.0-4.c.1.2	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}21&158\\220&167\end{bmatrix}$, $\begin{bmatrix}22&271\\295&30\end{bmatrix}$, $\begin{bmatrix}41&54\\266&45\end{bmatrix}$, $\begin{bmatrix}98&119\\93&108\end{bmatrix}$, $\begin{bmatrix}150&181\\155&108\end{bmatrix}$
296.12.0-4.c.1.3	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}11&142\\256&285\end{bmatrix}$, $\begin{bmatrix}20&277\\3&270\end{bmatrix}$, $\begin{bmatrix}70&221\\109&66\end{bmatrix}$, $\begin{bmatrix}99&212\\226&149\end{bmatrix}$, $\begin{bmatrix}144&259\\121&230\end{bmatrix}$
296.12.0-4.c.1.4	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}16&101\\27&126\end{bmatrix}$, $\begin{bmatrix}47&122\\52&189\end{bmatrix}$, $\begin{bmatrix}114&85\\73&106\end{bmatrix}$, $\begin{bmatrix}196&237\\227&94\end{bmatrix}$, $\begin{bmatrix}238&57\\271&164\end{bmatrix}$
296.12.0-4.c.1.5	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}25&16\\58&211\end{bmatrix}$, $\begin{bmatrix}57&240\\168&157\end{bmatrix}$, $\begin{bmatrix}72&31\\97&150\end{bmatrix}$, $\begin{bmatrix}277&150\\154&9\end{bmatrix}$, $\begin{bmatrix}288&289\\151&246\end{bmatrix}$
296.12.0-4.c.1.6	4B0	$296$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}73&58\\290&137\end{bmatrix}$, $\begin{bmatrix}84&115\\233&290\end{bmatrix}$, $\begin{bmatrix}188&141\\129&24\end{bmatrix}$, $\begin{bmatrix}273&282\\206&241\end{bmatrix}$, $\begin{bmatrix}278&155\\225&132\end{bmatrix}$
296.12.0.c.1	4E0	$296$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}117&22\\154&35\end{bmatrix}$, $\begin{bmatrix}151&202\\88&135\end{bmatrix}$, $\begin{bmatrix}257&24\\123&181\end{bmatrix}$
296.12.0.d.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}13&146\\244&279\end{bmatrix}$, $\begin{bmatrix}97&62\\47&79\end{bmatrix}$, $\begin{bmatrix}219&86\\159&283\end{bmatrix}$
296.12.0.e.1	4E0	$296$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}19&210\\63&287\end{bmatrix}$, $\begin{bmatrix}97&66\\32&209\end{bmatrix}$, $\begin{bmatrix}183&170\\188&29\end{bmatrix}$
296.12.0.f.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}11&178\\153&229\end{bmatrix}$, $\begin{bmatrix}155&150\\150&117\end{bmatrix}$, $\begin{bmatrix}289&112\\289&141\end{bmatrix}$
296.12.0.g.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}93&190\\90&253\end{bmatrix}$, $\begin{bmatrix}133&102\\29&225\end{bmatrix}$, $\begin{bmatrix}153&136\\149&71\end{bmatrix}$, $\begin{bmatrix}171&278\\178&131\end{bmatrix}$
296.12.0.h.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}9&170\\107&177\end{bmatrix}$, $\begin{bmatrix}71&164\\187&241\end{bmatrix}$, $\begin{bmatrix}177&0\\295&109\end{bmatrix}$
296.12.0.i.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}251&112\\203&65\end{bmatrix}$, $\begin{bmatrix}259&2\\165&87\end{bmatrix}$, $\begin{bmatrix}281&60\\178&191\end{bmatrix}$
296.12.0.j.1	4E0	$296$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}1&12\\236&125\end{bmatrix}$, $\begin{bmatrix}85&46\\201&289\end{bmatrix}$, $\begin{bmatrix}113&260\\110&21\end{bmatrix}$, $\begin{bmatrix}193&276\\173&287\end{bmatrix}$
296.12.0.k.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}7&176\\235&43\end{bmatrix}$, $\begin{bmatrix}37&262\\282&71\end{bmatrix}$, $\begin{bmatrix}109&118\\233&223\end{bmatrix}$
296.12.0.l.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}53&142\\220&213\end{bmatrix}$, $\begin{bmatrix}55&80\\62&169\end{bmatrix}$, $\begin{bmatrix}129&188\\157&169\end{bmatrix}$
296.12.0.m.1	4E0	$296$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}9&32\\131&253\end{bmatrix}$, $\begin{bmatrix}75&178\\212&253\end{bmatrix}$, $\begin{bmatrix}77&292\\93&153\end{bmatrix}$, $\begin{bmatrix}201&230\\14&227\end{bmatrix}$
296.12.0.n.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}1&216\\132&167\end{bmatrix}$, $\begin{bmatrix}187&100\\233&31\end{bmatrix}$, $\begin{bmatrix}219&102\\104&239\end{bmatrix}$
296.12.0.o.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}71&64\\173&151\end{bmatrix}$, $\begin{bmatrix}131&124\\90&253\end{bmatrix}$, $\begin{bmatrix}245&246\\52&23\end{bmatrix}$
296.12.0.p.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}21&38\\279&9\end{bmatrix}$, $\begin{bmatrix}89&134\\243&105\end{bmatrix}$, $\begin{bmatrix}129&204\\100&265\end{bmatrix}$, $\begin{bmatrix}243&238\\138&17\end{bmatrix}$
296.12.0.q.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}109&16\\62&195\end{bmatrix}$, $\begin{bmatrix}229&148\\227&257\end{bmatrix}$, $\begin{bmatrix}287&218\\166&183\end{bmatrix}$
296.12.0.r.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}101&286\\173&69\end{bmatrix}$, $\begin{bmatrix}227&34\\130&117\end{bmatrix}$, $\begin{bmatrix}249&16\\133&103\end{bmatrix}$
296.12.0.s.1	4E0	$296$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}43&0\\286&47\end{bmatrix}$, $\begin{bmatrix}113&264\\271&131\end{bmatrix}$, $\begin{bmatrix}145&172\\113&63\end{bmatrix}$, $\begin{bmatrix}203&100\\275&279\end{bmatrix}$, $\begin{bmatrix}209&60\\88&59\end{bmatrix}$
296.12.0.t.1	4E0	$296$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}217&82\\214&43\end{bmatrix}$, $\begin{bmatrix}223&198\\233&83\end{bmatrix}$, $\begin{bmatrix}275&20\\210&25\end{bmatrix}$

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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.