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
304.192.1-16.a.1.1	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}51&200\\148&263\end{bmatrix}$, $\begin{bmatrix}81&240\\72&235\end{bmatrix}$, $\begin{bmatrix}101&56\\16&107\end{bmatrix}$, $\begin{bmatrix}281&256\\226&51\end{bmatrix}$
304.192.1-16.a.1.2	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}133&136\\130&161\end{bmatrix}$, $\begin{bmatrix}239&80\\210&207\end{bmatrix}$, $\begin{bmatrix}253&40\\170&251\end{bmatrix}$, $\begin{bmatrix}295&96\\176&111\end{bmatrix}$
304.192.1-16.a.1.3	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}111&112\\80&5\end{bmatrix}$, $\begin{bmatrix}157&248\\288&75\end{bmatrix}$, $\begin{bmatrix}167&240\\106&55\end{bmatrix}$, $\begin{bmatrix}293&232\\242&203\end{bmatrix}$
304.192.1-16.a.1.4	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}23&96\\268&231\end{bmatrix}$, $\begin{bmatrix}37&152\\70&67\end{bmatrix}$, $\begin{bmatrix}61&296\\284&233\end{bmatrix}$, $\begin{bmatrix}139&152\\300&253\end{bmatrix}$
304.192.1-16.a.1.5	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}119&272\\272&221\end{bmatrix}$, $\begin{bmatrix}217&96\\120&267\end{bmatrix}$, $\begin{bmatrix}259&56\\152&77\end{bmatrix}$, $\begin{bmatrix}259&216\\178&223\end{bmatrix}$
304.192.1-16.a.1.6	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}13&56\\32&153\end{bmatrix}$, $\begin{bmatrix}99&264\\170&119\end{bmatrix}$, $\begin{bmatrix}137&48\\134&195\end{bmatrix}$, $\begin{bmatrix}157&72\\66&33\end{bmatrix}$
304.192.1-16.a.2.1	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}65&88\\62&173\end{bmatrix}$, $\begin{bmatrix}175&200\\206&75\end{bmatrix}$, $\begin{bmatrix}197&120\\242&123\end{bmatrix}$, $\begin{bmatrix}243&72\\272&205\end{bmatrix}$
304.192.1-16.a.2.2	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}135&192\\280&167\end{bmatrix}$, $\begin{bmatrix}187&128\\134&41\end{bmatrix}$, $\begin{bmatrix}219&40\\126&85\end{bmatrix}$, $\begin{bmatrix}223&248\\218&43\end{bmatrix}$
304.192.1-16.a.2.3	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}15&280\\6&155\end{bmatrix}$, $\begin{bmatrix}27&264\\160&69\end{bmatrix}$, $\begin{bmatrix}87&272\\188&71\end{bmatrix}$, $\begin{bmatrix}209&288\\26&209\end{bmatrix}$
304.192.1-16.a.2.4	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}95&168\\130&299\end{bmatrix}$, $\begin{bmatrix}95&256\\30&279\end{bmatrix}$, $\begin{bmatrix}127&80\\204&135\end{bmatrix}$, $\begin{bmatrix}157&296\\92&131\end{bmatrix}$
304.192.1-16.a.2.5	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}89&136\\106&141\end{bmatrix}$, $\begin{bmatrix}141&240\\56&55\end{bmatrix}$, $\begin{bmatrix}155&200\\8&269\end{bmatrix}$, $\begin{bmatrix}255&152\\282&203\end{bmatrix}$
304.192.1-16.a.2.6	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}13&256\\212&79\end{bmatrix}$, $\begin{bmatrix}139&224\\170&169\end{bmatrix}$, $\begin{bmatrix}165&248\\208&83\end{bmatrix}$, $\begin{bmatrix}229&208\\82&239\end{bmatrix}$
304.192.1-304.a.1.1	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}95&32\\236&225\end{bmatrix}$, $\begin{bmatrix}135&280\\200&59\end{bmatrix}$, $\begin{bmatrix}157&248\\58&145\end{bmatrix}$, $\begin{bmatrix}171&176\\176&235\end{bmatrix}$
304.192.1-304.a.1.2	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}97&192\\6&233\end{bmatrix}$, $\begin{bmatrix}105&280\\108&99\end{bmatrix}$, $\begin{bmatrix}171&64\\86&213\end{bmatrix}$, $\begin{bmatrix}193&208\\78&279\end{bmatrix}$
304.192.1-304.a.1.3	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}19&248\\182&127\end{bmatrix}$, $\begin{bmatrix}203&288\\206&261\end{bmatrix}$, $\begin{bmatrix}259&168\\204&79\end{bmatrix}$, $\begin{bmatrix}303&72\\46&99\end{bmatrix}$
304.192.1-304.a.1.4	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}61&120\\88&175\end{bmatrix}$, $\begin{bmatrix}213&40\\210&247\end{bmatrix}$, $\begin{bmatrix}245&136\\54&73\end{bmatrix}$, $\begin{bmatrix}257&8\\78&197\end{bmatrix}$
304.192.1-304.a.1.5	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}179&104\\258&241\end{bmatrix}$, $\begin{bmatrix}205&224\\238&51\end{bmatrix}$, $\begin{bmatrix}263&40\\126&29\end{bmatrix}$, $\begin{bmatrix}301&32\\106&301\end{bmatrix}$
304.192.1-304.a.1.6	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}179&280\\302&209\end{bmatrix}$, $\begin{bmatrix}205&152\\162&169\end{bmatrix}$, $\begin{bmatrix}233&224\\178&265\end{bmatrix}$, $\begin{bmatrix}299&240\\214&181\end{bmatrix}$
304.192.1-304.a.1.7	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}109&168\\36&79\end{bmatrix}$, $\begin{bmatrix}175&8\\172&179\end{bmatrix}$, $\begin{bmatrix}243&96\\24&131\end{bmatrix}$, $\begin{bmatrix}297&224\\242&41\end{bmatrix}$
304.192.1-304.a.1.8	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}33&40\\248&197\end{bmatrix}$, $\begin{bmatrix}119&8\\160&221\end{bmatrix}$, $\begin{bmatrix}131&16\\202&267\end{bmatrix}$, $\begin{bmatrix}245&176\\84&187\end{bmatrix}$
304.192.1-304.a.1.9	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}51&144\\60&91\end{bmatrix}$, $\begin{bmatrix}159&192\\138&31\end{bmatrix}$, $\begin{bmatrix}213&8\\158&25\end{bmatrix}$, $\begin{bmatrix}265&128\\200&143\end{bmatrix}$
304.192.1-304.a.1.10	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}103&24\\208&275\end{bmatrix}$, $\begin{bmatrix}247&136\\14&85\end{bmatrix}$, $\begin{bmatrix}269&0\\146&45\end{bmatrix}$, $\begin{bmatrix}283&16\\202&141\end{bmatrix}$
304.192.1-304.a.1.11	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}17&104\\216&107\end{bmatrix}$, $\begin{bmatrix}17&112\\100&159\end{bmatrix}$, $\begin{bmatrix}221&24\\232&159\end{bmatrix}$, $\begin{bmatrix}251&256\\70&67\end{bmatrix}$
304.192.1-304.a.1.12	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}47&208\\166&159\end{bmatrix}$, $\begin{bmatrix}181&56\\174&57\end{bmatrix}$, $\begin{bmatrix}231&264\\76&211\end{bmatrix}$, $\begin{bmatrix}241&32\\178&127\end{bmatrix}$
304.192.1-304.a.2.1	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}73&200\\220&19\end{bmatrix}$, $\begin{bmatrix}121&104\\220&157\end{bmatrix}$, $\begin{bmatrix}211&224\\88&269\end{bmatrix}$, $\begin{bmatrix}241&40\\202&149\end{bmatrix}$
304.192.1-304.a.2.2	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}125&168\\282&151\end{bmatrix}$, $\begin{bmatrix}255&120\\216&147\end{bmatrix}$, $\begin{bmatrix}259&64\\116&133\end{bmatrix}$, $\begin{bmatrix}275&280\\268&271\end{bmatrix}$
304.192.1-304.a.2.3	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}11&264\\206&25\end{bmatrix}$, $\begin{bmatrix}119&40\\134&75\end{bmatrix}$, $\begin{bmatrix}253&232\\38&25\end{bmatrix}$, $\begin{bmatrix}267&80\\150&235\end{bmatrix}$
304.192.1-304.a.2.4	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}45&296\\214&159\end{bmatrix}$, $\begin{bmatrix}149&184\\34&297\end{bmatrix}$, $\begin{bmatrix}229&232\\136&113\end{bmatrix}$, $\begin{bmatrix}241&168\\102&77\end{bmatrix}$
304.192.1-304.a.2.5	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}45&208\\60&53\end{bmatrix}$, $\begin{bmatrix}215&72\\182&5\end{bmatrix}$, $\begin{bmatrix}229&256\\260&27\end{bmatrix}$, $\begin{bmatrix}249&224\\282&143\end{bmatrix}$
304.192.1-304.a.2.6	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}111&96\\10&49\end{bmatrix}$, $\begin{bmatrix}197&232\\238&15\end{bmatrix}$, $\begin{bmatrix}263&16\\92&161\end{bmatrix}$, $\begin{bmatrix}293&272\\44&179\end{bmatrix}$
304.192.1-304.a.2.7	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}31&160\\164&161\end{bmatrix}$, $\begin{bmatrix}143&104\\210&45\end{bmatrix}$, $\begin{bmatrix}243&64\\180&125\end{bmatrix}$, $\begin{bmatrix}283&208\\270&293\end{bmatrix}$
304.192.1-304.a.2.8	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}71&200\\192&101\end{bmatrix}$, $\begin{bmatrix}173&120\\202&231\end{bmatrix}$, $\begin{bmatrix}211&208\\126&237\end{bmatrix}$, $\begin{bmatrix}223&232\\274&93\end{bmatrix}$
304.192.1-304.a.2.9	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}11&24\\116&225\end{bmatrix}$, $\begin{bmatrix}211&128\\104&243\end{bmatrix}$, $\begin{bmatrix}271&176\\250&143\end{bmatrix}$, $\begin{bmatrix}297&256\\198&207\end{bmatrix}$
304.192.1-304.a.2.10	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}11&168\\170&47\end{bmatrix}$, $\begin{bmatrix}103&80\\226&199\end{bmatrix}$, $\begin{bmatrix}105&88\\72&123\end{bmatrix}$, $\begin{bmatrix}195&40\\50&193\end{bmatrix}$
304.192.1-304.a.2.11	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}59&144\\12&203\end{bmatrix}$, $\begin{bmatrix}103&160\\254&137\end{bmatrix}$, $\begin{bmatrix}171&128\\220&301\end{bmatrix}$, $\begin{bmatrix}283&88\\92&9\end{bmatrix}$
304.192.1-304.a.2.12	16M1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	?	$\begin{bmatrix}119&120\\138&213\end{bmatrix}$, $\begin{bmatrix}155&200\\130&33\end{bmatrix}$, $\begin{bmatrix}239&120\\268&75\end{bmatrix}$, $\begin{bmatrix}287&208\\64&289\end{bmatrix}$
304.192.1-8.b.1.1	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}29&176\\228&139\end{bmatrix}$, $\begin{bmatrix}153&144\\300&17\end{bmatrix}$, $\begin{bmatrix}157&160\\288&161\end{bmatrix}$, $\begin{bmatrix}179&32\\292&125\end{bmatrix}$, $\begin{bmatrix}251&184\\184&5\end{bmatrix}$
304.192.1-8.b.1.2	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}45&8\\212&163\end{bmatrix}$, $\begin{bmatrix}87&264\\216&103\end{bmatrix}$, $\begin{bmatrix}89&32\\236&193\end{bmatrix}$, $\begin{bmatrix}107&152\\184&189\end{bmatrix}$, $\begin{bmatrix}207&40\\12&61\end{bmatrix}$
304.192.1-8.b.1.3	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}51&184\\196&37\end{bmatrix}$, $\begin{bmatrix}153&168\\224&153\end{bmatrix}$, $\begin{bmatrix}253&128\\44&25\end{bmatrix}$, $\begin{bmatrix}257&72\\116&169\end{bmatrix}$, $\begin{bmatrix}275&264\\108&191\end{bmatrix}$
304.192.1-8.b.1.4	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}59&32\\84&141\end{bmatrix}$, $\begin{bmatrix}101&32\\236&89\end{bmatrix}$, $\begin{bmatrix}239&112\\112&287\end{bmatrix}$, $\begin{bmatrix}239&184\\148&199\end{bmatrix}$, $\begin{bmatrix}257&48\\108&17\end{bmatrix}$
304.192.1-8.b.2.1	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}27&200\\172&297\end{bmatrix}$, $\begin{bmatrix}93&112\\236&35\end{bmatrix}$, $\begin{bmatrix}125&160\\148&79\end{bmatrix}$, $\begin{bmatrix}205&168\\8&43\end{bmatrix}$, $\begin{bmatrix}207&224\\192&3\end{bmatrix}$
304.192.1-8.b.2.2	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}33&56\\8&153\end{bmatrix}$, $\begin{bmatrix}117&64\\12&99\end{bmatrix}$, $\begin{bmatrix}159&168\\68&71\end{bmatrix}$, $\begin{bmatrix}173&160\\128&131\end{bmatrix}$, $\begin{bmatrix}273&248\\280&45\end{bmatrix}$
304.192.1-8.b.2.3	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}37&176\\100&211\end{bmatrix}$, $\begin{bmatrix}37&296\\32&175\end{bmatrix}$, $\begin{bmatrix}45&264\\144&107\end{bmatrix}$, $\begin{bmatrix}63&200\\4&179\end{bmatrix}$, $\begin{bmatrix}93&256\\8&251\end{bmatrix}$
304.192.1-8.b.2.4	8K1	$304$	$192$	$1$	$2 \le \gamma \le 96$	$16$	$0$	$?$	✓	✓	$1$	✓	$\begin{bmatrix}5&248\\84&43\end{bmatrix}$, $\begin{bmatrix}23&264\\192&211\end{bmatrix}$, $\begin{bmatrix}159&192\\248&263\end{bmatrix}$, $\begin{bmatrix}223&128\\268&75\end{bmatrix}$, $\begin{bmatrix}299&64\\236&221\end{bmatrix}$
304.192.1-16.b.1.1	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}11&280\\288&167\end{bmatrix}$, $\begin{bmatrix}193&4\\138&123\end{bmatrix}$, $\begin{bmatrix}219&216\\182&143\end{bmatrix}$, $\begin{bmatrix}293&264\\188&49\end{bmatrix}$
304.192.1-16.b.1.2	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}23&124\\96&125\end{bmatrix}$, $\begin{bmatrix}111&12\\282&5\end{bmatrix}$, $\begin{bmatrix}207&192\\212&271\end{bmatrix}$, $\begin{bmatrix}227&24\\24&271\end{bmatrix}$
304.192.1-16.b.1.3	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}159&240\\114&279\end{bmatrix}$, $\begin{bmatrix}211&280\\128&287\end{bmatrix}$, $\begin{bmatrix}275&164\\188&213\end{bmatrix}$, $\begin{bmatrix}285&284\\100&51\end{bmatrix}$
304.192.1-16.b.1.4	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}5&88\\224&233\end{bmatrix}$, $\begin{bmatrix}125&92\\248&51\end{bmatrix}$, $\begin{bmatrix}127&176\\152&111\end{bmatrix}$, $\begin{bmatrix}181&8\\138&177\end{bmatrix}$
304.192.1-16.b.1.5	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}35&292\\224&13\end{bmatrix}$, $\begin{bmatrix}159&76\\166&253\end{bmatrix}$, $\begin{bmatrix}173&56\\280&233\end{bmatrix}$, $\begin{bmatrix}299&104\\294&239\end{bmatrix}$
304.192.1-16.b.1.6	16M1	$304$	$192$	$1$	$2$	$16$	$2$	$?$	✓	✓	$1$		$\begin{bmatrix}65&132\\276&259\end{bmatrix}$, $\begin{bmatrix}165&188\\220&131\end{bmatrix}$, $\begin{bmatrix}203&72\\268&295\end{bmatrix}$, $\begin{bmatrix}251&180\\222&189\end{bmatrix}$

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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.