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 482 matches)

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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
136.24.0-4.a.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}45&80\\70&49\end{bmatrix}$, $\begin{bmatrix}61&4\\74&5\end{bmatrix}$, $\begin{bmatrix}93&106\\66&55\end{bmatrix}$, $\begin{bmatrix}119&60\\62&79\end{bmatrix}$, $\begin{bmatrix}133&42\\126&27\end{bmatrix}$
136.24.0-4.a.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}15&16\\0&7\end{bmatrix}$, $\begin{bmatrix}27&94\\84&21\end{bmatrix}$, $\begin{bmatrix}37&74\\84&103\end{bmatrix}$, $\begin{bmatrix}75&38\\70&105\end{bmatrix}$, $\begin{bmatrix}127&82\\82&1\end{bmatrix}$
136.24.0-4.a.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}21&106\\26&127\end{bmatrix}$, $\begin{bmatrix}39&108\\122&99\end{bmatrix}$, $\begin{bmatrix}39&132\\80&7\end{bmatrix}$, $\begin{bmatrix}57&86\\44&119\end{bmatrix}$, $\begin{bmatrix}99&106\\4&29\end{bmatrix}$
136.24.0-4.a.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}37&30\\122&11\end{bmatrix}$, $\begin{bmatrix}57&96\\42&25\end{bmatrix}$, $\begin{bmatrix}75&82\\18&109\end{bmatrix}$, $\begin{bmatrix}85&70\\106&63\end{bmatrix}$, $\begin{bmatrix}107&38\\80&65\end{bmatrix}$
136.24.0-4.a.1.5	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}55&124\\124&131\end{bmatrix}$, $\begin{bmatrix}63&70\\26&89\end{bmatrix}$, $\begin{bmatrix}91&122\\86&89\end{bmatrix}$, $\begin{bmatrix}115&6\\26&41\end{bmatrix}$, $\begin{bmatrix}119&72\\62&27\end{bmatrix}$
136.24.0-4.a.1.6	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}7&82\\84&97\end{bmatrix}$, $\begin{bmatrix}51&86\\42&61\end{bmatrix}$, $\begin{bmatrix}63&6\\60&113\end{bmatrix}$, $\begin{bmatrix}129&60\\2&57\end{bmatrix}$, $\begin{bmatrix}131&124\\108&127\end{bmatrix}$
136.24.0-8.a.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&36\\134&129\end{bmatrix}$, $\begin{bmatrix}97&24\\130&15\end{bmatrix}$, $\begin{bmatrix}107&114\\26&131\end{bmatrix}$, $\begin{bmatrix}127&40\\118&9\end{bmatrix}$
136.24.0-8.a.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&56\\34&1\end{bmatrix}$, $\begin{bmatrix}19&58\\24&25\end{bmatrix}$, $\begin{bmatrix}95&134\\78&7\end{bmatrix}$, $\begin{bmatrix}135&64\\120&103\end{bmatrix}$
136.24.0-8.a.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}27&106\\126&3\end{bmatrix}$, $\begin{bmatrix}83&74\\34&29\end{bmatrix}$, $\begin{bmatrix}123&120\\52&29\end{bmatrix}$, $\begin{bmatrix}125&38\\16&111\end{bmatrix}$
136.24.0-8.a.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}71&72\\128&55\end{bmatrix}$, $\begin{bmatrix}81&92\\34&97\end{bmatrix}$, $\begin{bmatrix}95&42\\124&35\end{bmatrix}$, $\begin{bmatrix}111&78\\6&81\end{bmatrix}$
136.24.0-68.a.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}5&122\\0&21\end{bmatrix}$, $\begin{bmatrix}7&18\\2&73\end{bmatrix}$, $\begin{bmatrix}55&122\\4&29\end{bmatrix}$, $\begin{bmatrix}77&108\\28&59\end{bmatrix}$
136.24.0-68.a.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&26\\50&105\end{bmatrix}$, $\begin{bmatrix}17&78\\10&55\end{bmatrix}$, $\begin{bmatrix}113&2\\92&25\end{bmatrix}$, $\begin{bmatrix}121&38\\36&107\end{bmatrix}$
136.24.0-68.a.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}73&78\\74&89\end{bmatrix}$, $\begin{bmatrix}81&8\\128&95\end{bmatrix}$, $\begin{bmatrix}107&0\\88&9\end{bmatrix}$, $\begin{bmatrix}125&20\\130&63\end{bmatrix}$
136.24.0-68.a.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}55&44\\94&15\end{bmatrix}$, $\begin{bmatrix}83&36\\20&135\end{bmatrix}$, $\begin{bmatrix}87&20\\108&33\end{bmatrix}$, $\begin{bmatrix}93&38\\82&3\end{bmatrix}$
136.24.0.a.1	4G0	$136$	$24$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}1&66\\48&35\end{bmatrix}$, $\begin{bmatrix}97&128\\94&93\end{bmatrix}$, $\begin{bmatrix}109&22\\122&115\end{bmatrix}$, $\begin{bmatrix}115&52\\4&47\end{bmatrix}$, $\begin{bmatrix}125&90\\34&27\end{bmatrix}$
136.24.0-136.a.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}49&108\\76&103\end{bmatrix}$, $\begin{bmatrix}49&126\\90&23\end{bmatrix}$, $\begin{bmatrix}69&102\\88&3\end{bmatrix}$, $\begin{bmatrix}117&0\\86&59\end{bmatrix}$
136.24.0-136.a.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}15&98\\70&63\end{bmatrix}$, $\begin{bmatrix}69&8\\98&11\end{bmatrix}$, $\begin{bmatrix}77&60\\114&101\end{bmatrix}$, $\begin{bmatrix}89&34\\10&45\end{bmatrix}$
136.24.0-136.a.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}13&34\\112&87\end{bmatrix}$, $\begin{bmatrix}23&42\\128&89\end{bmatrix}$, $\begin{bmatrix}39&8\\54&1\end{bmatrix}$, $\begin{bmatrix}123&18\\16&87\end{bmatrix}$
136.24.0-136.a.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}17&56\\82&9\end{bmatrix}$, $\begin{bmatrix}97&98\\112&37\end{bmatrix}$, $\begin{bmatrix}113&10\\132&105\end{bmatrix}$, $\begin{bmatrix}119&70\\78&5\end{bmatrix}$
136.24.0-136.a.1.5	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}33&74\\44&47\end{bmatrix}$, $\begin{bmatrix}43&86\\26&37\end{bmatrix}$, $\begin{bmatrix}81&122\\4&89\end{bmatrix}$, $\begin{bmatrix}95&126\\6&37\end{bmatrix}$
136.24.0-136.a.1.6	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}7&84\\114&71\end{bmatrix}$, $\begin{bmatrix}113&92\\10&115\end{bmatrix}$, $\begin{bmatrix}127&92\\32&99\end{bmatrix}$, $\begin{bmatrix}131&106\\134&105\end{bmatrix}$
136.24.0-136.a.1.7	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&74\\126&75\end{bmatrix}$, $\begin{bmatrix}61&102\\104&129\end{bmatrix}$, $\begin{bmatrix}109&126\\66&3\end{bmatrix}$, $\begin{bmatrix}121&22\\126&53\end{bmatrix}$
136.24.0-136.a.1.8	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}103&10\\42&5\end{bmatrix}$, $\begin{bmatrix}113&80\\106&23\end{bmatrix}$, $\begin{bmatrix}125&46\\124&99\end{bmatrix}$, $\begin{bmatrix}127&62\\8&27\end{bmatrix}$
136.24.0-4.b.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}3&56\\46&127\end{bmatrix}$, $\begin{bmatrix}17&4\\10&111\end{bmatrix}$, $\begin{bmatrix}23&16\\18&101\end{bmatrix}$, $\begin{bmatrix}59&120\\74&133\end{bmatrix}$, $\begin{bmatrix}123&100\\24&69\end{bmatrix}$, $\begin{bmatrix}135&112\\12&87\end{bmatrix}$
136.24.0-4.b.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}3&8\\80&55\end{bmatrix}$, $\begin{bmatrix}9&40\\130&49\end{bmatrix}$, $\begin{bmatrix}15&20\\10&101\end{bmatrix}$, $\begin{bmatrix}73&96\\42&135\end{bmatrix}$, $\begin{bmatrix}103&16\\28&51\end{bmatrix}$, $\begin{bmatrix}115&60\\8&93\end{bmatrix}$
136.24.0-4.b.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}5&40\\74&43\end{bmatrix}$, $\begin{bmatrix}11&52\\80&43\end{bmatrix}$, $\begin{bmatrix}51&96\\80&81\end{bmatrix}$, $\begin{bmatrix}81&84\\70&55\end{bmatrix}$, $\begin{bmatrix}103&92\\30&75\end{bmatrix}$, $\begin{bmatrix}133&88\\130&55\end{bmatrix}$
136.24.0-4.b.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}13&76\\54&85\end{bmatrix}$, $\begin{bmatrix}35&36\\126&33\end{bmatrix}$, $\begin{bmatrix}77&112\\42&39\end{bmatrix}$, $\begin{bmatrix}91&96\\130&41\end{bmatrix}$, $\begin{bmatrix}111&24\\36&27\end{bmatrix}$, $\begin{bmatrix}123&84\\36&47\end{bmatrix}$
136.24.0-4.b.1.5	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}89&96\\56&3\end{bmatrix}$, $\begin{bmatrix}91&24\\58&115\end{bmatrix}$, $\begin{bmatrix}113&128\\0&7\end{bmatrix}$, $\begin{bmatrix}117&112\\46&23\end{bmatrix}$, $\begin{bmatrix}119&32\\62&61\end{bmatrix}$, $\begin{bmatrix}125&4\\62&63\end{bmatrix}$
136.24.0-4.b.1.6	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}27&108\\134&99\end{bmatrix}$, $\begin{bmatrix}31&60\\124&115\end{bmatrix}$, $\begin{bmatrix}63&44\\36&1\end{bmatrix}$, $\begin{bmatrix}79&28\\108&39\end{bmatrix}$, $\begin{bmatrix}85&84\\88&49\end{bmatrix}$, $\begin{bmatrix}127&120\\56&13\end{bmatrix}$
136.24.0-4.b.1.7	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}41&96\\102&77\end{bmatrix}$, $\begin{bmatrix}51&116\\84&69\end{bmatrix}$, $\begin{bmatrix}57&132\\14&127\end{bmatrix}$, $\begin{bmatrix}77&80\\76&119\end{bmatrix}$, $\begin{bmatrix}119&92\\70&13\end{bmatrix}$, $\begin{bmatrix}135&24\\132&93\end{bmatrix}$
136.24.0-4.b.1.8	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}11&44\\60&133\end{bmatrix}$, $\begin{bmatrix}35&4\\46&21\end{bmatrix}$, $\begin{bmatrix}51&40\\116&131\end{bmatrix}$, $\begin{bmatrix}81&8\\122&107\end{bmatrix}$, $\begin{bmatrix}81&108\\26&3\end{bmatrix}$, $\begin{bmatrix}125&100\\124&105\end{bmatrix}$
136.24.0-4.b.1.9	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}11&44\\120&129\end{bmatrix}$, $\begin{bmatrix}23&76\\64&101\end{bmatrix}$, $\begin{bmatrix}23&128\\32&121\end{bmatrix}$, $\begin{bmatrix}59&24\\28&43\end{bmatrix}$, $\begin{bmatrix}119&48\\2&57\end{bmatrix}$, $\begin{bmatrix}131&84\\110&75\end{bmatrix}$
136.24.0-4.b.1.10	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}3&48\\36&85\end{bmatrix}$, $\begin{bmatrix}9&100\\86&21\end{bmatrix}$, $\begin{bmatrix}61&16\\114&13\end{bmatrix}$, $\begin{bmatrix}85&52\\56&85\end{bmatrix}$, $\begin{bmatrix}87&116\\14&75\end{bmatrix}$, $\begin{bmatrix}123&60\\2&27\end{bmatrix}$
136.24.0-4.b.1.11	4E0	$136$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}5&24\\88&121\end{bmatrix}$, $\begin{bmatrix}47&108\\88&49\end{bmatrix}$, $\begin{bmatrix}59&104\\118&11\end{bmatrix}$, $\begin{bmatrix}65&56\\74&55\end{bmatrix}$, $\begin{bmatrix}89&76\\54&89\end{bmatrix}$, $\begin{bmatrix}93&80\\40&61\end{bmatrix}$
136.24.0-8.b.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}7&18\\14&71\end{bmatrix}$, $\begin{bmatrix}7&72\\50&101\end{bmatrix}$, $\begin{bmatrix}37&40\\126&93\end{bmatrix}$, $\begin{bmatrix}111&14\\108&73\end{bmatrix}$
136.24.0-8.b.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}23&60\\128&7\end{bmatrix}$, $\begin{bmatrix}101&122\\86&125\end{bmatrix}$, $\begin{bmatrix}113&82\\64&37\end{bmatrix}$, $\begin{bmatrix}135&16\\82&117\end{bmatrix}$
136.24.0-8.b.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}35&114\\20&135\end{bmatrix}$, $\begin{bmatrix}77&28\\96&95\end{bmatrix}$, $\begin{bmatrix}109&20\\26&87\end{bmatrix}$, $\begin{bmatrix}119&128\\64&45\end{bmatrix}$
136.24.0-8.b.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}35&22\\28&13\end{bmatrix}$, $\begin{bmatrix}35&110\\42&59\end{bmatrix}$, $\begin{bmatrix}85&84\\100&47\end{bmatrix}$, $\begin{bmatrix}129&46\\28&109\end{bmatrix}$
136.24.0-68.b.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}11&16\\20&55\end{bmatrix}$, $\begin{bmatrix}51&28\\74&127\end{bmatrix}$, $\begin{bmatrix}71&82\\26&77\end{bmatrix}$, $\begin{bmatrix}133&58\\124&77\end{bmatrix}$
136.24.0-68.b.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}39&104\\52&11\end{bmatrix}$, $\begin{bmatrix}87&32\\4&21\end{bmatrix}$, $\begin{bmatrix}87&98\\42&23\end{bmatrix}$, $\begin{bmatrix}91&28\\134&135\end{bmatrix}$
136.24.0-68.b.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}33&96\\62&109\end{bmatrix}$, $\begin{bmatrix}45&12\\18&59\end{bmatrix}$, $\begin{bmatrix}57&34\\8&9\end{bmatrix}$, $\begin{bmatrix}111&100\\64&1\end{bmatrix}$
136.24.0-68.b.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}5&4\\90&111\end{bmatrix}$, $\begin{bmatrix}41&108\\58&29\end{bmatrix}$, $\begin{bmatrix}103&4\\108&11\end{bmatrix}$, $\begin{bmatrix}111&42\\98&1\end{bmatrix}$
136.24.0.b.1	4G0	$136$	$24$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}19&30\\36&129\end{bmatrix}$, $\begin{bmatrix}37&44\\128&11\end{bmatrix}$, $\begin{bmatrix}99&72\\90&83\end{bmatrix}$, $\begin{bmatrix}121&80\\122&119\end{bmatrix}$
136.24.0-136.b.1.1	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}37&94\\100&37\end{bmatrix}$, $\begin{bmatrix}65&66\\46&49\end{bmatrix}$, $\begin{bmatrix}65&130\\88&111\end{bmatrix}$, $\begin{bmatrix}133&84\\120&63\end{bmatrix}$
136.24.0-136.b.1.2	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}29&114\\30&49\end{bmatrix}$, $\begin{bmatrix}47&110\\14&55\end{bmatrix}$, $\begin{bmatrix}103&64\\94&73\end{bmatrix}$, $\begin{bmatrix}131&56\\134&55\end{bmatrix}$
136.24.0-136.b.1.3	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}5&70\\104&59\end{bmatrix}$, $\begin{bmatrix}23&74\\22&95\end{bmatrix}$, $\begin{bmatrix}29&12\\66&21\end{bmatrix}$, $\begin{bmatrix}45&102\\118&81\end{bmatrix}$
136.24.0-136.b.1.4	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}51&44\\64&133\end{bmatrix}$, $\begin{bmatrix}79&130\\54&77\end{bmatrix}$, $\begin{bmatrix}127&124\\48&21\end{bmatrix}$, $\begin{bmatrix}135&82\\88&25\end{bmatrix}$
136.24.0-136.b.1.5	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}13&54\\72&91\end{bmatrix}$, $\begin{bmatrix}63&52\\82&95\end{bmatrix}$, $\begin{bmatrix}89&130\\116&77\end{bmatrix}$, $\begin{bmatrix}93&110\\108&77\end{bmatrix}$
136.24.0-136.b.1.6	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}5&106\\80&133\end{bmatrix}$, $\begin{bmatrix}29&18\\62&133\end{bmatrix}$, $\begin{bmatrix}75&12\\38&33\end{bmatrix}$, $\begin{bmatrix}93&80\\2&51\end{bmatrix}$
136.24.0-136.b.1.7	4E0	$136$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}15&132\\84&13\end{bmatrix}$, $\begin{bmatrix}63&34\\28&15\end{bmatrix}$, $\begin{bmatrix}73&132\\66&83\end{bmatrix}$, $\begin{bmatrix}121&126\\66&131\end{bmatrix}$

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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.