LMFDB - Modular curve search results

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Label	CP label	Level	Index	Genus	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Simple	Squarefree	Decomposition	Local obstruction	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
228.192.1-12.a.1.1	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}67&198\\52&133\end{bmatrix}$, $\begin{bmatrix}173&6\\124&71\end{bmatrix}$, $\begin{bmatrix}173&132\\8&37\end{bmatrix}$, $\begin{bmatrix}215&72\\26&155\end{bmatrix}$
228.192.1-12.a.1.2	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}101&168\\210&133\end{bmatrix}$, $\begin{bmatrix}127&168\\4&167\end{bmatrix}$, $\begin{bmatrix}187&168\\50&35\end{bmatrix}$, $\begin{bmatrix}211&66\\2&49\end{bmatrix}$
228.192.1-12.a.1.3	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}11&186\\122&1\end{bmatrix}$, $\begin{bmatrix}65&54\\44&155\end{bmatrix}$, $\begin{bmatrix}127&150\\116&73\end{bmatrix}$, $\begin{bmatrix}167&162\\104&157\end{bmatrix}$
228.192.1-12.a.1.4	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}91&6\\78&181\end{bmatrix}$, $\begin{bmatrix}103&0\\28&47\end{bmatrix}$, $\begin{bmatrix}155&60\\218&71\end{bmatrix}$, $\begin{bmatrix}181&60\\174&97\end{bmatrix}$
228.192.1-12.a.1.5	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}53&6\\194&71\end{bmatrix}$, $\begin{bmatrix}53&120\\152&97\end{bmatrix}$, $\begin{bmatrix}79&6\\116&85\end{bmatrix}$, $\begin{bmatrix}197&0\\106&205\end{bmatrix}$
228.192.1-12.a.1.6	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}53&108\\150&157\end{bmatrix}$, $\begin{bmatrix}121&6\\24&227\end{bmatrix}$, $\begin{bmatrix}187&192\\170&59\end{bmatrix}$, $\begin{bmatrix}197&162\\36&227\end{bmatrix}$
228.192.1-12.a.1.7	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}1&210\\70&11\end{bmatrix}$, $\begin{bmatrix}53&12\\50&157\end{bmatrix}$, $\begin{bmatrix}95&48\\128&107\end{bmatrix}$, $\begin{bmatrix}127&156\\80&227\end{bmatrix}$
228.192.1-12.a.1.8	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}71&6\\180&121\end{bmatrix}$, $\begin{bmatrix}163&18\\44&1\end{bmatrix}$, $\begin{bmatrix}163&24\\140&35\end{bmatrix}$, $\begin{bmatrix}217&6\\118&119\end{bmatrix}$
228.192.1-12.a.2.1	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}85&12\\2&181\end{bmatrix}$, $\begin{bmatrix}91&186\\82&169\end{bmatrix}$, $\begin{bmatrix}131&72\\2&215\end{bmatrix}$, $\begin{bmatrix}217&216\\44&137\end{bmatrix}$
228.192.1-12.a.2.2	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}83&216\\72&11\end{bmatrix}$, $\begin{bmatrix}97&180\\212&161\end{bmatrix}$, $\begin{bmatrix}143&0\\170&127\end{bmatrix}$, $\begin{bmatrix}151&138\\216&97\end{bmatrix}$
228.192.1-12.a.2.3	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}25&12\\186&217\end{bmatrix}$, $\begin{bmatrix}83&48\\26&155\end{bmatrix}$, $\begin{bmatrix}161&30\\130&103\end{bmatrix}$, $\begin{bmatrix}193&132\\84&149\end{bmatrix}$
228.192.1-12.a.2.4	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}7&174\\18&97\end{bmatrix}$, $\begin{bmatrix}31&114\\134&41\end{bmatrix}$, $\begin{bmatrix}193&60\\6&185\end{bmatrix}$, $\begin{bmatrix}197&138\\98&35\end{bmatrix}$
228.192.1-12.a.2.5	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}65&54\\114&43\end{bmatrix}$, $\begin{bmatrix}73&192\\114&89\end{bmatrix}$, $\begin{bmatrix}97&0\\26&73\end{bmatrix}$, $\begin{bmatrix}139&66\\216&41\end{bmatrix}$
228.192.1-12.a.2.6	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}17&102\\50&163\end{bmatrix}$, $\begin{bmatrix}61&84\\70&65\end{bmatrix}$, $\begin{bmatrix}139&90\\216&217\end{bmatrix}$, $\begin{bmatrix}179&12\\214&215\end{bmatrix}$
228.192.1-12.a.2.7	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}43&54\\136&161\end{bmatrix}$, $\begin{bmatrix}113&174\\182&19\end{bmatrix}$, $\begin{bmatrix}131&60\\172&139\end{bmatrix}$, $\begin{bmatrix}217&48\\112&113\end{bmatrix}$
228.192.1-12.a.2.8	12V1	$228$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}13&96\\22&101\end{bmatrix}$, $\begin{bmatrix}43&54\\216&145\end{bmatrix}$, $\begin{bmatrix}83&168\\72&31\end{bmatrix}$, $\begin{bmatrix}151&90\\74&13\end{bmatrix}$
228.192.1-228.a.1.1	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}137&84\\10&137\end{bmatrix}$, $\begin{bmatrix}157&102\\2&175\end{bmatrix}$, $\begin{bmatrix}217&54\\182&143\end{bmatrix}$, $\begin{bmatrix}217&150\\4&143\end{bmatrix}$
228.192.1-228.a.1.2	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}97&180\\24&29\end{bmatrix}$, $\begin{bmatrix}103&90\\4&53\end{bmatrix}$, $\begin{bmatrix}133&120\\118&209\end{bmatrix}$, $\begin{bmatrix}157&210\\174&215\end{bmatrix}$
228.192.1-228.a.1.3	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}49&114\\194&203\end{bmatrix}$, $\begin{bmatrix}97&96\\90&169\end{bmatrix}$, $\begin{bmatrix}149&186\\150&203\end{bmatrix}$, $\begin{bmatrix}163&66\\36&89\end{bmatrix}$
228.192.1-228.a.1.4	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}23&192\\142&79\end{bmatrix}$, $\begin{bmatrix}49&186\\12&71\end{bmatrix}$, $\begin{bmatrix}127&42\\114&157\end{bmatrix}$, $\begin{bmatrix}143&66\\20&77\end{bmatrix}$
228.192.1-228.a.1.5	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}17&90\\164&151\end{bmatrix}$, $\begin{bmatrix}43&108\\98&187\end{bmatrix}$, $\begin{bmatrix}107&114\\88&1\end{bmatrix}$, $\begin{bmatrix}167&30\\218&197\end{bmatrix}$
228.192.1-228.a.1.6	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}13&12\\210&49\end{bmatrix}$, $\begin{bmatrix}95&90\\96&149\end{bmatrix}$, $\begin{bmatrix}125&96\\168&121\end{bmatrix}$, $\begin{bmatrix}167&138\\74&97\end{bmatrix}$
228.192.1-228.a.1.7	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}65&18\\30&131\end{bmatrix}$, $\begin{bmatrix}155&66\\150&169\end{bmatrix}$, $\begin{bmatrix}181&36\\198&97\end{bmatrix}$, $\begin{bmatrix}203&216\\74&211\end{bmatrix}$
228.192.1-228.a.1.8	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}25&174\\114&7\end{bmatrix}$, $\begin{bmatrix}83&18\\180&25\end{bmatrix}$, $\begin{bmatrix}91&108\\138&199\end{bmatrix}$, $\begin{bmatrix}227&156\\32&199\end{bmatrix}$
228.192.1-228.a.1.9	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}35&156\\104&91\end{bmatrix}$, $\begin{bmatrix}137&216\\178&221\end{bmatrix}$, $\begin{bmatrix}161&162\\112&143\end{bmatrix}$, $\begin{bmatrix}211&0\\56&187\end{bmatrix}$
228.192.1-228.a.1.10	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}11&186\\44&185\end{bmatrix}$, $\begin{bmatrix}25&102\\184&119\end{bmatrix}$, $\begin{bmatrix}163&198\\160&13\end{bmatrix}$, $\begin{bmatrix}205&162\\10&31\end{bmatrix}$
228.192.1-228.a.1.11	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}1&150\\176&155\end{bmatrix}$, $\begin{bmatrix}19&138\\210&61\end{bmatrix}$, $\begin{bmatrix}185&12\\216&37\end{bmatrix}$, $\begin{bmatrix}221&90\\120&79\end{bmatrix}$
228.192.1-228.a.1.12	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}59&48\\154&211\end{bmatrix}$, $\begin{bmatrix}61&126\\64&107\end{bmatrix}$, $\begin{bmatrix}65&138\\46&155\end{bmatrix}$, $\begin{bmatrix}203&90\\54&49\end{bmatrix}$
228.192.1-228.a.1.13	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}41&168\\202&181\end{bmatrix}$, $\begin{bmatrix}205&102\\200&139\end{bmatrix}$, $\begin{bmatrix}211&6\\8&77\end{bmatrix}$, $\begin{bmatrix}227&216\\100&7\end{bmatrix}$
228.192.1-228.a.1.14	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}11&36\\154&35\end{bmatrix}$, $\begin{bmatrix}55&168\\58&35\end{bmatrix}$, $\begin{bmatrix}161&48\\18&89\end{bmatrix}$, $\begin{bmatrix}223&150\\36&85\end{bmatrix}$
228.192.1-228.a.1.15	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}7&198\\46&65\end{bmatrix}$, $\begin{bmatrix}41&126\\156&163\end{bmatrix}$, $\begin{bmatrix}47&30\\72&17\end{bmatrix}$, $\begin{bmatrix}95&36\\134&151\end{bmatrix}$
228.192.1-228.a.1.16	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}17&198\\22&175\end{bmatrix}$, $\begin{bmatrix}73&180\\76&29\end{bmatrix}$, $\begin{bmatrix}205&102\\6&223\end{bmatrix}$, $\begin{bmatrix}215&30\\28&125\end{bmatrix}$
228.192.1-228.a.2.1	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}101&54\\222&7\end{bmatrix}$, $\begin{bmatrix}161&126\\140&47\end{bmatrix}$, $\begin{bmatrix}169&66\\124&179\end{bmatrix}$, $\begin{bmatrix}197&186\\152&139\end{bmatrix}$
228.192.1-228.a.2.2	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}37&0\\82&37\end{bmatrix}$, $\begin{bmatrix}127&114\\224&97\end{bmatrix}$, $\begin{bmatrix}179&144\\184&19\end{bmatrix}$, $\begin{bmatrix}185&144\\36&113\end{bmatrix}$
228.192.1-228.a.2.3	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}89&108\\38&25\end{bmatrix}$, $\begin{bmatrix}97&198\\80&155\end{bmatrix}$, $\begin{bmatrix}115&144\\214&67\end{bmatrix}$, $\begin{bmatrix}167&210\\134&209\end{bmatrix}$
228.192.1-228.a.2.4	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}19&210\\222&85\end{bmatrix}$, $\begin{bmatrix}61&72\\6&109\end{bmatrix}$, $\begin{bmatrix}67&42\\184&17\end{bmatrix}$, $\begin{bmatrix}73&114\\188&79\end{bmatrix}$
228.192.1-228.a.2.5	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}23&6\\198&157\end{bmatrix}$, $\begin{bmatrix}77&96\\150&133\end{bmatrix}$, $\begin{bmatrix}131&114\\72&145\end{bmatrix}$, $\begin{bmatrix}221&12\\32&29\end{bmatrix}$
228.192.1-228.a.2.6	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}23&186\\0&145\end{bmatrix}$, $\begin{bmatrix}29&42\\68&191\end{bmatrix}$, $\begin{bmatrix}127&24\\134&59\end{bmatrix}$, $\begin{bmatrix}181&66\\144&91\end{bmatrix}$
228.192.1-228.a.2.7	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}5&144\\222&1\end{bmatrix}$, $\begin{bmatrix}89&198\\70&151\end{bmatrix}$, $\begin{bmatrix}181&60\\198&85\end{bmatrix}$, $\begin{bmatrix}187&216\\44&7\end{bmatrix}$
228.192.1-228.a.2.8	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}79&156\\226&103\end{bmatrix}$, $\begin{bmatrix}91&0\\74&119\end{bmatrix}$, $\begin{bmatrix}133&72\\82&173\end{bmatrix}$, $\begin{bmatrix}203&198\\82&113\end{bmatrix}$
228.192.1-228.a.2.9	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}73&126\\84&19\end{bmatrix}$, $\begin{bmatrix}127&18\\64&65\end{bmatrix}$, $\begin{bmatrix}137&222\\122&35\end{bmatrix}$, $\begin{bmatrix}211&6\\68&73\end{bmatrix}$
228.192.1-228.a.2.10	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}41&12\\220&169\end{bmatrix}$, $\begin{bmatrix}59&114\\28&161\end{bmatrix}$, $\begin{bmatrix}131&96\\194&119\end{bmatrix}$, $\begin{bmatrix}217&108\\222&65\end{bmatrix}$
228.192.1-228.a.2.11	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}59&216\\150&11\end{bmatrix}$, $\begin{bmatrix}133&18\\116&143\end{bmatrix}$, $\begin{bmatrix}173&0\\86&169\end{bmatrix}$, $\begin{bmatrix}215&60\\112&19\end{bmatrix}$
228.192.1-228.a.2.12	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}7&156\\126&131\end{bmatrix}$, $\begin{bmatrix}47&222\\142&53\end{bmatrix}$, $\begin{bmatrix}199&198\\118&85\end{bmatrix}$, $\begin{bmatrix}215&168\\186&11\end{bmatrix}$
228.192.1-228.a.2.13	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}55&102\\62&37\end{bmatrix}$, $\begin{bmatrix}89&96\\170&97\end{bmatrix}$, $\begin{bmatrix}175&36\\56&43\end{bmatrix}$, $\begin{bmatrix}203&216\\50&83\end{bmatrix}$
228.192.1-228.a.2.14	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}197&96\\12&97\end{bmatrix}$, $\begin{bmatrix}197&174\\28&175\end{bmatrix}$, $\begin{bmatrix}217&6\\50&227\end{bmatrix}$, $\begin{bmatrix}223&210\\188&181\end{bmatrix}$
228.192.1-228.a.2.15	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}1&0\\198&17\end{bmatrix}$, $\begin{bmatrix}179&180\\68&127\end{bmatrix}$, $\begin{bmatrix}197&156\\174&97\end{bmatrix}$, $\begin{bmatrix}199&66\\112&53\end{bmatrix}$
228.192.1-228.a.2.16	12V1	$228$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}91&78\\200&169\end{bmatrix}$, $\begin{bmatrix}197&108\\140&73\end{bmatrix}$, $\begin{bmatrix}211&198\\44&113\end{bmatrix}$, $\begin{bmatrix}215&204\\10&23\end{bmatrix}$
228.192.1-12.b.1.1	12V1	$228$	$192$	$1$	$2$	$16$	$4$	$?$	✓	✓	$1$		$\begin{bmatrix}35&96\\208&47\end{bmatrix}$, $\begin{bmatrix}85&0\\182&101\end{bmatrix}$, $\begin{bmatrix}133&60\\36&119\end{bmatrix}$, $\begin{bmatrix}133&60\\214&217\end{bmatrix}$
228.192.1-12.b.1.2	12V1	$228$	$192$	$1$	$2$	$16$	$4$	$?$	✓	✓	$1$		$\begin{bmatrix}11&12\\170&31\end{bmatrix}$, $\begin{bmatrix}13&12\\168&35\end{bmatrix}$, $\begin{bmatrix}59&204\\198&119\end{bmatrix}$, $\begin{bmatrix}203&168\\48&107\end{bmatrix}$

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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.