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

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Results (1-50 of 464 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
112.96.2-16.a.1.1	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	?	$\begin{bmatrix}47&32\\96&15\end{bmatrix}$, $\begin{bmatrix}73&86\\86&103\end{bmatrix}$, $\begin{bmatrix}103&68\\34&59\end{bmatrix}$, $\begin{bmatrix}109&22\\72&27\end{bmatrix}$
112.96.2-16.a.1.2	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	?	$\begin{bmatrix}5&26\\32&91\end{bmatrix}$, $\begin{bmatrix}31&50\\0&89\end{bmatrix}$, $\begin{bmatrix}45&62\\30&99\end{bmatrix}$, $\begin{bmatrix}89&92\\4&41\end{bmatrix}$
112.96.2-16.a.1.3	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	?	$\begin{bmatrix}9&76\\80&97\end{bmatrix}$, $\begin{bmatrix}17&42\\24&79\end{bmatrix}$, $\begin{bmatrix}25&76\\62&5\end{bmatrix}$, $\begin{bmatrix}31&86\\64&97\end{bmatrix}$
112.96.2-16.a.1.4	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	?	$\begin{bmatrix}71&102\\98&41\end{bmatrix}$, $\begin{bmatrix}95&44\\18&35\end{bmatrix}$, $\begin{bmatrix}99&56\\12&75\end{bmatrix}$, $\begin{bmatrix}111&24\\34&51\end{bmatrix}$
112.96.2.a.1	16I2	$112$	$96$	$2$	$2$	$14$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}15&40\\12&37\end{bmatrix}$, $\begin{bmatrix}17&88\\72&27\end{bmatrix}$, $\begin{bmatrix}23&20\\24&7\end{bmatrix}$, $\begin{bmatrix}57&40\\100&57\end{bmatrix}$, $\begin{bmatrix}63&92\\32&101\end{bmatrix}$, $\begin{bmatrix}103&76\\100&75\end{bmatrix}$
112.96.2-112.a.1.1	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}25&94\\14&47\end{bmatrix}$, $\begin{bmatrix}57&70\\80&37\end{bmatrix}$, $\begin{bmatrix}81&74\\58&31\end{bmatrix}$, $\begin{bmatrix}105&44\\8&105\end{bmatrix}$
112.96.2-112.a.1.2	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}81&104\\34&71\end{bmatrix}$, $\begin{bmatrix}91&80\\80&35\end{bmatrix}$, $\begin{bmatrix}101&14\\72&33\end{bmatrix}$, $\begin{bmatrix}103&30\\42&81\end{bmatrix}$
112.96.2-112.a.1.3	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}13&12\\60&77\end{bmatrix}$, $\begin{bmatrix}21&74\\10&75\end{bmatrix}$, $\begin{bmatrix}57&28\\78&79\end{bmatrix}$, $\begin{bmatrix}59&26\\102&13\end{bmatrix}$
112.96.2-112.a.1.4	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}3&80\\52&67\end{bmatrix}$, $\begin{bmatrix}17&48\\110&63\end{bmatrix}$, $\begin{bmatrix}73&42\\48&13\end{bmatrix}$, $\begin{bmatrix}111&18\\6&57\end{bmatrix}$
112.96.2-112.a.1.5	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}53&26\\96&49\end{bmatrix}$, $\begin{bmatrix}57&26\\66&103\end{bmatrix}$, $\begin{bmatrix}75&4\\56&107\end{bmatrix}$, $\begin{bmatrix}85&108\\108&101\end{bmatrix}$
112.96.2-112.a.1.6	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}51&34\\78&61\end{bmatrix}$, $\begin{bmatrix}79&40\\20&103\end{bmatrix}$, $\begin{bmatrix}81&96\\90&87\end{bmatrix}$, $\begin{bmatrix}107&62\\46&29\end{bmatrix}$
112.96.2-112.a.1.7	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}19&86\\48&23\end{bmatrix}$, $\begin{bmatrix}23&94\\24&51\end{bmatrix}$, $\begin{bmatrix}25&34\\110&103\end{bmatrix}$, $\begin{bmatrix}37&16\\12&53\end{bmatrix}$
112.96.2-112.a.1.8	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}61&22\\56&1\end{bmatrix}$, $\begin{bmatrix}85&50\\42&83\end{bmatrix}$, $\begin{bmatrix}95&108\\44&79\end{bmatrix}$, $\begin{bmatrix}97&2\\62&47\end{bmatrix}$
112.96.2-16.b.1.1	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}21&60\\24&109\end{bmatrix}$, $\begin{bmatrix}65&108\\70&93\end{bmatrix}$, $\begin{bmatrix}79&34\\50&57\end{bmatrix}$, $\begin{bmatrix}95&20\\104&7\end{bmatrix}$
112.96.2-16.b.1.2	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}11&32\\84&83\end{bmatrix}$, $\begin{bmatrix}107&74\\4&101\end{bmatrix}$, $\begin{bmatrix}109&84\\50&33\end{bmatrix}$, $\begin{bmatrix}111&32\\82&51\end{bmatrix}$
112.96.2-16.b.1.3	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}19&18\\68&93\end{bmatrix}$, $\begin{bmatrix}27&100\\40&19\end{bmatrix}$, $\begin{bmatrix}49&108\\66&37\end{bmatrix}$, $\begin{bmatrix}81&36\\56&25\end{bmatrix}$
112.96.2-16.b.1.4	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}3&84\\28&3\end{bmatrix}$, $\begin{bmatrix}27&2\\2&13\end{bmatrix}$, $\begin{bmatrix}43&28\\22&103\end{bmatrix}$, $\begin{bmatrix}65&52\\28&17\end{bmatrix}$
112.96.2.b.1	16I2	$112$	$96$	$2$	$2$	$14$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}1&8\\84&1\end{bmatrix}$, $\begin{bmatrix}15&72\\0&15\end{bmatrix}$, $\begin{bmatrix}39&60\\76&43\end{bmatrix}$, $\begin{bmatrix}49&32\\8&45\end{bmatrix}$, $\begin{bmatrix}79&100\\100&17\end{bmatrix}$, $\begin{bmatrix}111&60\\12&63\end{bmatrix}$
112.96.2-112.b.1.1	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}5&100\\38&91\end{bmatrix}$, $\begin{bmatrix}37&34\\72&57\end{bmatrix}$, $\begin{bmatrix}65&14\\12&69\end{bmatrix}$, $\begin{bmatrix}81&14\\38&31\end{bmatrix}$
112.96.2-112.b.1.2	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}59&24\\110&37\end{bmatrix}$, $\begin{bmatrix}71&96\\84&15\end{bmatrix}$, $\begin{bmatrix}75&10\\28&111\end{bmatrix}$, $\begin{bmatrix}75&30\\108&111\end{bmatrix}$
112.96.2-112.b.1.3	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}23&92\\76&79\end{bmatrix}$, $\begin{bmatrix}47&8\\8&7\end{bmatrix}$, $\begin{bmatrix}55&38\\102&41\end{bmatrix}$, $\begin{bmatrix}83&8\\42&85\end{bmatrix}$
112.96.2-112.b.1.4	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}7&4\\88&71\end{bmatrix}$, $\begin{bmatrix}43&28\\86&109\end{bmatrix}$, $\begin{bmatrix}71&0\\28&95\end{bmatrix}$, $\begin{bmatrix}79&106\\60&83\end{bmatrix}$
112.96.2-112.b.1.5	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}51&54\\94&45\end{bmatrix}$, $\begin{bmatrix}73&18\\86&95\end{bmatrix}$, $\begin{bmatrix}83&98\\36&103\end{bmatrix}$, $\begin{bmatrix}111&36\\64&15\end{bmatrix}$
112.96.2-112.b.1.6	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}5&32\\70&51\end{bmatrix}$, $\begin{bmatrix}29&94\\0&17\end{bmatrix}$, $\begin{bmatrix}39&22\\82&57\end{bmatrix}$, $\begin{bmatrix}49&34\\82&31\end{bmatrix}$
112.96.2-112.b.1.7	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}29&40\\108&101\end{bmatrix}$, $\begin{bmatrix}39&22\\96&27\end{bmatrix}$, $\begin{bmatrix}65&106\\10&95\end{bmatrix}$, $\begin{bmatrix}111&44\\34&41\end{bmatrix}$
112.96.2-112.b.1.8	8A2	$112$	$96$	$2$	$2$	$6$	$0$	$?$		?		not computed	✓	$\begin{bmatrix}51&74\\104&55\end{bmatrix}$, $\begin{bmatrix}63&72\\12&87\end{bmatrix}$, $\begin{bmatrix}71&50\\94&81\end{bmatrix}$, $\begin{bmatrix}77&2\\44&89\end{bmatrix}$
112.96.2-16.c.1.1	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}15&10\\4&67\end{bmatrix}$, $\begin{bmatrix}103&0\\74&65\end{bmatrix}$, $\begin{bmatrix}107&4\\6&25\end{bmatrix}$, $\begin{bmatrix}107&94\\34&57\end{bmatrix}$
112.96.2-16.c.1.2	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}5&66\\20&105\end{bmatrix}$, $\begin{bmatrix}75&54\\92&55\end{bmatrix}$, $\begin{bmatrix}103&48\\46&21\end{bmatrix}$, $\begin{bmatrix}111&50\\40&95\end{bmatrix}$
112.96.2-16.c.1.3	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}41&104\\12&37\end{bmatrix}$, $\begin{bmatrix}51&60\\92&31\end{bmatrix}$, $\begin{bmatrix}79&70\\82&61\end{bmatrix}$, $\begin{bmatrix}81&30\\80&25\end{bmatrix}$
112.96.2-16.c.1.4	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}51&50\\50&9\end{bmatrix}$, $\begin{bmatrix}55&30\\62&25\end{bmatrix}$, $\begin{bmatrix}55&40\\32&23\end{bmatrix}$, $\begin{bmatrix}111&4\\102&45\end{bmatrix}$
112.96.2-16.c.2.1	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}25&6\\80&65\end{bmatrix}$, $\begin{bmatrix}33&4\\20&85\end{bmatrix}$, $\begin{bmatrix}63&44\\88&7\end{bmatrix}$, $\begin{bmatrix}105&50\\94&15\end{bmatrix}$
112.96.2-16.c.2.2	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}1&48\\90&31\end{bmatrix}$, $\begin{bmatrix}53&34\\34&55\end{bmatrix}$, $\begin{bmatrix}65&4\\108&93\end{bmatrix}$, $\begin{bmatrix}91&50\\52&31\end{bmatrix}$
112.96.2-16.c.2.3	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}13&92\\68&97\end{bmatrix}$, $\begin{bmatrix}25&4\\90&47\end{bmatrix}$, $\begin{bmatrix}31&68\\96&63\end{bmatrix}$, $\begin{bmatrix}87&6\\24&103\end{bmatrix}$
112.96.2-16.c.2.4	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}3&78\\64&11\end{bmatrix}$, $\begin{bmatrix}15&26\\84&67\end{bmatrix}$, $\begin{bmatrix}57&8\\38&83\end{bmatrix}$, $\begin{bmatrix}101&90\\4&89\end{bmatrix}$
112.96.2.c.1	16I2	$112$	$96$	$2$	$2$	$14$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}1&36\\28&61\end{bmatrix}$, $\begin{bmatrix}41&16\\108&63\end{bmatrix}$, $\begin{bmatrix}47&64\\92&85\end{bmatrix}$, $\begin{bmatrix}71&32\\60&25\end{bmatrix}$, $\begin{bmatrix}95&88\\4&51\end{bmatrix}$, $\begin{bmatrix}111&96\\12&105\end{bmatrix}$
112.96.2-112.c.1.1	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}39&96\\92&35\end{bmatrix}$, $\begin{bmatrix}43&14\\26&89\end{bmatrix}$, $\begin{bmatrix}91&10\\104&67\end{bmatrix}$, $\begin{bmatrix}109&90\\96&5\end{bmatrix}$
112.96.2-112.c.1.2	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}17&86\\2&39\end{bmatrix}$, $\begin{bmatrix}37&30\\94&23\end{bmatrix}$, $\begin{bmatrix}49&16\\90&75\end{bmatrix}$, $\begin{bmatrix}97&106\\80&33\end{bmatrix}$
112.96.2-112.c.1.3	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}61&54\\72&101\end{bmatrix}$, $\begin{bmatrix}65&10\\110&19\end{bmatrix}$, $\begin{bmatrix}69&110\\78&55\end{bmatrix}$, $\begin{bmatrix}95&90\\44&11\end{bmatrix}$
112.96.2-112.c.1.4	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}25&74\\6&35\end{bmatrix}$, $\begin{bmatrix}79&4\\8&47\end{bmatrix}$, $\begin{bmatrix}95&76\\4&11\end{bmatrix}$, $\begin{bmatrix}101&56\\6&59\end{bmatrix}$
112.96.2-112.c.1.5	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}13&32\\90&47\end{bmatrix}$, $\begin{bmatrix}13&58\\110&63\end{bmatrix}$, $\begin{bmatrix}39&38\\78&81\end{bmatrix}$, $\begin{bmatrix}101&22\\34&91\end{bmatrix}$
112.96.2-112.c.1.6	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}45&64\\82&63\end{bmatrix}$, $\begin{bmatrix}83&30\\70&37\end{bmatrix}$, $\begin{bmatrix}85&4\\2&39\end{bmatrix}$, $\begin{bmatrix}93&106\\62&95\end{bmatrix}$
112.96.2-112.c.1.7	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}11&106\\12&111\end{bmatrix}$, $\begin{bmatrix}55&8\\110&45\end{bmatrix}$, $\begin{bmatrix}57&26\\90&71\end{bmatrix}$, $\begin{bmatrix}65&30\\46&51\end{bmatrix}$
112.96.2-112.c.1.8	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}29&72\\110&51\end{bmatrix}$, $\begin{bmatrix}51&96\\92&63\end{bmatrix}$, $\begin{bmatrix}87&64\\106&1\end{bmatrix}$, $\begin{bmatrix}89&70\\88&81\end{bmatrix}$
112.96.2-112.c.2.1	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}13&92\\4&89\end{bmatrix}$, $\begin{bmatrix}25&54\\70&87\end{bmatrix}$, $\begin{bmatrix}57&28\\18&39\end{bmatrix}$, $\begin{bmatrix}111&72\\66&13\end{bmatrix}$
112.96.2-112.c.2.2	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}25&48\\84&109\end{bmatrix}$, $\begin{bmatrix}37&96\\110&87\end{bmatrix}$, $\begin{bmatrix}73&14\\8&1\end{bmatrix}$, $\begin{bmatrix}109&96\\88&109\end{bmatrix}$
112.96.2-112.c.2.3	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}49&72\\72&49\end{bmatrix}$, $\begin{bmatrix}57&8\\10&79\end{bmatrix}$, $\begin{bmatrix}101&58\\56&69\end{bmatrix}$, $\begin{bmatrix}103&78\\90&9\end{bmatrix}$
112.96.2-112.c.2.4	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}23&54\\60&27\end{bmatrix}$, $\begin{bmatrix}25&0\\90&71\end{bmatrix}$, $\begin{bmatrix}49&30\\38&71\end{bmatrix}$, $\begin{bmatrix}75&32\\108&79\end{bmatrix}$
112.96.2-112.c.2.5	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}33&66\\64&17\end{bmatrix}$, $\begin{bmatrix}73&78\\6&47\end{bmatrix}$, $\begin{bmatrix}99&100\\74&65\end{bmatrix}$, $\begin{bmatrix}101&12\\106&99\end{bmatrix}$
112.96.2-112.c.2.6	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}21&78\\66&15\end{bmatrix}$, $\begin{bmatrix}23&32\\12&107\end{bmatrix}$, $\begin{bmatrix}39&94\\90&73\end{bmatrix}$, $\begin{bmatrix}63&32\\110&105\end{bmatrix}$
112.96.2-112.c.2.7	16C2	$112$	$96$	$2$	$2$	$6$	$2$	$?$		?		not computed		$\begin{bmatrix}27&80\\62&109\end{bmatrix}$, $\begin{bmatrix}97&60\\52&21\end{bmatrix}$, $\begin{bmatrix}99&38\\76&15\end{bmatrix}$, $\begin{bmatrix}107&12\\70&53\end{bmatrix}$

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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.