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 240 matches)

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Label	CP label	Level	Index	Genus	$\Q$-gonality	Cusps	$\Q$-cusps	Conductor	Simple	Squarefree	Decomposition	$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators
228.96.0-12.a.1.1	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}29&112\\132&223\end{bmatrix}$, $\begin{bmatrix}47&154\\42&7\end{bmatrix}$, $\begin{bmatrix}111&100\\190&63\end{bmatrix}$, $\begin{bmatrix}121&182\\72&65\end{bmatrix}$, $\begin{bmatrix}189&80\\10&155\end{bmatrix}$
228.96.0-12.a.1.10	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}1&84\\82&113\end{bmatrix}$, $\begin{bmatrix}3&146\\154&197\end{bmatrix}$, $\begin{bmatrix}51&134\\122&141\end{bmatrix}$, $\begin{bmatrix}79&20\\204&89\end{bmatrix}$, $\begin{bmatrix}157&96\\132&31\end{bmatrix}$
228.96.0-12.a.1.11	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}5&186\\200&31\end{bmatrix}$, $\begin{bmatrix}35&118\\206&87\end{bmatrix}$, $\begin{bmatrix}71&24\\128&121\end{bmatrix}$, $\begin{bmatrix}161&76\\0&223\end{bmatrix}$, $\begin{bmatrix}207&220\\80&13\end{bmatrix}$
228.96.0-12.a.1.12	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}25&108\\138&157\end{bmatrix}$, $\begin{bmatrix}129&128\\194&39\end{bmatrix}$, $\begin{bmatrix}165&8\\14&117\end{bmatrix}$, $\begin{bmatrix}217&122\\172&15\end{bmatrix}$, $\begin{bmatrix}219&148\\70&75\end{bmatrix}$
228.96.0-12.a.1.13	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}5&198\\146&175\end{bmatrix}$, $\begin{bmatrix}85&194\\178&33\end{bmatrix}$, $\begin{bmatrix}87&98\\14&147\end{bmatrix}$, $\begin{bmatrix}221&160\\110&123\end{bmatrix}$, $\begin{bmatrix}225&116\\124&47\end{bmatrix}$
228.96.0-12.a.1.14	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}39&40\\98&121\end{bmatrix}$, $\begin{bmatrix}81&10\\28&87\end{bmatrix}$, $\begin{bmatrix}101&124\\108&31\end{bmatrix}$, $\begin{bmatrix}129&130\\46&153\end{bmatrix}$, $\begin{bmatrix}171&208\\146&223\end{bmatrix}$
228.96.0-12.a.1.15	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}15&194\\38&63\end{bmatrix}$, $\begin{bmatrix}95&130\\156&103\end{bmatrix}$, $\begin{bmatrix}97&98\\48&17\end{bmatrix}$, $\begin{bmatrix}137&114\\66&173\end{bmatrix}$, $\begin{bmatrix}169&182\\196&39\end{bmatrix}$
228.96.0-12.a.1.16	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}49&108\\94&5\end{bmatrix}$, $\begin{bmatrix}87&194\\212&3\end{bmatrix}$, $\begin{bmatrix}145&26\\178&117\end{bmatrix}$, $\begin{bmatrix}213&176\\130&209\end{bmatrix}$, $\begin{bmatrix}223&104\\132&101\end{bmatrix}$
228.96.0-12.a.1.2	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}103&200\\82&147\end{bmatrix}$, $\begin{bmatrix}113&66\\114&65\end{bmatrix}$, $\begin{bmatrix}113&90\\212&139\end{bmatrix}$, $\begin{bmatrix}211&138\\54&199\end{bmatrix}$, $\begin{bmatrix}225&34\\98&211\end{bmatrix}$
228.96.0-12.a.1.3	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}25&156\\46&143\end{bmatrix}$, $\begin{bmatrix}75&14\\98&105\end{bmatrix}$, $\begin{bmatrix}169&50\\168&53\end{bmatrix}$, $\begin{bmatrix}181&24\\150&49\end{bmatrix}$, $\begin{bmatrix}193&194\\94&21\end{bmatrix}$
228.96.0-12.a.1.4	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}27&208\\142&9\end{bmatrix}$, $\begin{bmatrix}87&16\\68&7\end{bmatrix}$, $\begin{bmatrix}135&122\\22&65\end{bmatrix}$, $\begin{bmatrix}211&18\\178&53\end{bmatrix}$, $\begin{bmatrix}221&172\\26&177\end{bmatrix}$
228.96.0-12.a.1.5	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}93&70\\218&199\end{bmatrix}$, $\begin{bmatrix}115&20\\34&141\end{bmatrix}$, $\begin{bmatrix}173&126\\50&115\end{bmatrix}$, $\begin{bmatrix}177&164\\160&95\end{bmatrix}$, $\begin{bmatrix}191&58\\26&27\end{bmatrix}$
228.96.0-12.a.1.6	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}13&216\\40&227\end{bmatrix}$, $\begin{bmatrix}45&34\\70&153\end{bmatrix}$, $\begin{bmatrix}51&136\\164&25\end{bmatrix}$, $\begin{bmatrix}169&2\\52&69\end{bmatrix}$, $\begin{bmatrix}193&98\\160&183\end{bmatrix}$
228.96.0-12.a.1.7	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}11&96\\164&67\end{bmatrix}$, $\begin{bmatrix}55&138\\160&101\end{bmatrix}$, $\begin{bmatrix}87&98\\58&197\end{bmatrix}$, $\begin{bmatrix}121&120\\220&77\end{bmatrix}$, $\begin{bmatrix}221&150\\176&73\end{bmatrix}$
228.96.0-12.a.1.8	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}1&204\\4&119\end{bmatrix}$, $\begin{bmatrix}9&92\\22&107\end{bmatrix}$, $\begin{bmatrix}63&184\\110&13\end{bmatrix}$, $\begin{bmatrix}73&48\\208&185\end{bmatrix}$, $\begin{bmatrix}73&86\\160&93\end{bmatrix}$
228.96.0-12.a.1.9	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}3&218\\188&69\end{bmatrix}$, $\begin{bmatrix}81&104\\152&15\end{bmatrix}$, $\begin{bmatrix}163&140\\156&221\end{bmatrix}$, $\begin{bmatrix}165&142\\118&99\end{bmatrix}$, $\begin{bmatrix}221&196\\104&27\end{bmatrix}$
228.96.0-12.a.2.1	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}25&44\\156&5\end{bmatrix}$, $\begin{bmatrix}63&196\\188&1\end{bmatrix}$, $\begin{bmatrix}85&206\\154&27\end{bmatrix}$, $\begin{bmatrix}91&36\\196&83\end{bmatrix}$, $\begin{bmatrix}217&68\\210&95\end{bmatrix}$
228.96.0-12.a.2.10	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}55&156\\154&185\end{bmatrix}$, $\begin{bmatrix}71&226\\122&183\end{bmatrix}$, $\begin{bmatrix}103&156\\100&167\end{bmatrix}$, $\begin{bmatrix}165&50\\26&159\end{bmatrix}$, $\begin{bmatrix}211&122\\42&11\end{bmatrix}$
228.96.0-12.a.2.11	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}1&192\\126&205\end{bmatrix}$, $\begin{bmatrix}113&12\\188&13\end{bmatrix}$, $\begin{bmatrix}163&122\\102&23\end{bmatrix}$, $\begin{bmatrix}193&32\\42&119\end{bmatrix}$, $\begin{bmatrix}213&58\\200&133\end{bmatrix}$
228.96.0-12.a.2.12	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}71&60\\72&161\end{bmatrix}$, $\begin{bmatrix}95&6\\50&25\end{bmatrix}$, $\begin{bmatrix}139&140\\106&153\end{bmatrix}$, $\begin{bmatrix}169&158\\52&153\end{bmatrix}$, $\begin{bmatrix}215&22\\74&87\end{bmatrix}$
228.96.0-12.a.2.13	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}17&120\\212&157\end{bmatrix}$, $\begin{bmatrix}67&204\\70&119\end{bmatrix}$, $\begin{bmatrix}113&202\\54&73\end{bmatrix}$, $\begin{bmatrix}143&58\\50&57\end{bmatrix}$, $\begin{bmatrix}201&50\\98&147\end{bmatrix}$
228.96.0-12.a.2.14	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}65&66\\114&53\end{bmatrix}$, $\begin{bmatrix}95&46\\86&183\end{bmatrix}$, $\begin{bmatrix}103&146\\84&77\end{bmatrix}$, $\begin{bmatrix}151&122\\156&83\end{bmatrix}$, $\begin{bmatrix}203&166\\116&153\end{bmatrix}$
228.96.0-12.a.2.15	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}27&58\\226&195\end{bmatrix}$, $\begin{bmatrix}59&30\\50&217\end{bmatrix}$, $\begin{bmatrix}65&66\\156&221\end{bmatrix}$, $\begin{bmatrix}91&20\\202&177\end{bmatrix}$, $\begin{bmatrix}175&98\\84&131\end{bmatrix}$
228.96.0-12.a.2.16	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}15&14\\142&131\end{bmatrix}$, $\begin{bmatrix}131&36\\186&59\end{bmatrix}$, $\begin{bmatrix}133&102\\70&197\end{bmatrix}$, $\begin{bmatrix}143&54\\80&193\end{bmatrix}$, $\begin{bmatrix}217&50\\94&213\end{bmatrix}$
228.96.0-12.a.2.2	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}23&124\\0&205\end{bmatrix}$, $\begin{bmatrix}73&126\\220&29\end{bmatrix}$, $\begin{bmatrix}107&24\\24&185\end{bmatrix}$, $\begin{bmatrix}117&172\\166&21\end{bmatrix}$, $\begin{bmatrix}117&212\\196&59\end{bmatrix}$
228.96.0-12.a.2.3	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}83&0\\180&89\end{bmatrix}$, $\begin{bmatrix}95&112\\48&145\end{bmatrix}$, $\begin{bmatrix}103&78\\12&1\end{bmatrix}$, $\begin{bmatrix}103&176\\202&39\end{bmatrix}$, $\begin{bmatrix}129&50\\38&129\end{bmatrix}$
228.96.0-12.a.2.4	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}39&116\\116&195\end{bmatrix}$, $\begin{bmatrix}129&58\\170&19\end{bmatrix}$, $\begin{bmatrix}163&68\\94&153\end{bmatrix}$, $\begin{bmatrix}207&164\\2&69\end{bmatrix}$, $\begin{bmatrix}217&176\\156&143\end{bmatrix}$
228.96.0-12.a.2.5	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}7&224\\160&27\end{bmatrix}$, $\begin{bmatrix}93&64\\214&9\end{bmatrix}$, $\begin{bmatrix}133&210\\214&185\end{bmatrix}$, $\begin{bmatrix}167&226\\98&147\end{bmatrix}$, $\begin{bmatrix}183&100\\56&49\end{bmatrix}$
228.96.0-12.a.2.6	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}13&92\\162&191\end{bmatrix}$, $\begin{bmatrix}159&110\\106&173\end{bmatrix}$, $\begin{bmatrix}171&148\\74&7\end{bmatrix}$, $\begin{bmatrix}197&84\\218&25\end{bmatrix}$, $\begin{bmatrix}205&180\\66&109\end{bmatrix}$
228.96.0-12.a.2.7	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}39&182\\16&59\end{bmatrix}$, $\begin{bmatrix}55&216\\184&137\end{bmatrix}$, $\begin{bmatrix}63&56\\182&93\end{bmatrix}$, $\begin{bmatrix}83&70\\80&33\end{bmatrix}$, $\begin{bmatrix}105&40\\148&153\end{bmatrix}$
228.96.0-12.a.2.8	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}13&182\\64&75\end{bmatrix}$, $\begin{bmatrix}23&222\\134&127\end{bmatrix}$, $\begin{bmatrix}79&200\\10&87\end{bmatrix}$, $\begin{bmatrix}97&92\\174&17\end{bmatrix}$, $\begin{bmatrix}193&50\\166&27\end{bmatrix}$
228.96.0-12.a.2.9	12I0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}33&142\\200&151\end{bmatrix}$, $\begin{bmatrix}83&142\\8&27\end{bmatrix}$, $\begin{bmatrix}137&126\\162&89\end{bmatrix}$, $\begin{bmatrix}185&190\\30&193\end{bmatrix}$, $\begin{bmatrix}191&40\\30&109\end{bmatrix}$
228.96.0-12.b.1.1	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}91&222\\226&179\end{bmatrix}$, $\begin{bmatrix}121&123\\48&91\end{bmatrix}$, $\begin{bmatrix}175&8\\52&99\end{bmatrix}$, $\begin{bmatrix}179&144\\198&167\end{bmatrix}$
228.96.0-12.b.1.2	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}9&94\\154&225\end{bmatrix}$, $\begin{bmatrix}27&95\\40&89\end{bmatrix}$, $\begin{bmatrix}159&40\\20&163\end{bmatrix}$, $\begin{bmatrix}207&83\\20&153\end{bmatrix}$
228.96.0-12.b.1.3	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}63&110\\206&171\end{bmatrix}$, $\begin{bmatrix}79&224\\214&207\end{bmatrix}$, $\begin{bmatrix}85&135\\138&157\end{bmatrix}$, $\begin{bmatrix}225&23\\110&57\end{bmatrix}$
228.96.0-12.b.1.4	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}35&178\\108&91\end{bmatrix}$, $\begin{bmatrix}139&44\\90&215\end{bmatrix}$, $\begin{bmatrix}145&113\\172&171\end{bmatrix}$, $\begin{bmatrix}225&212\\22&197\end{bmatrix}$
228.96.0-12.b.1.5	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}83&9\\216&149\end{bmatrix}$, $\begin{bmatrix}111&47\\214&71\end{bmatrix}$, $\begin{bmatrix}119&96\\108&203\end{bmatrix}$, $\begin{bmatrix}151&68\\36&179\end{bmatrix}$
228.96.0-12.b.1.6	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}63&124\\184&3\end{bmatrix}$, $\begin{bmatrix}83&21\\144&5\end{bmatrix}$, $\begin{bmatrix}145&180\\222&85\end{bmatrix}$, $\begin{bmatrix}157&5\\60&203\end{bmatrix}$
228.96.0-12.b.1.7	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}29&141\\182&169\end{bmatrix}$, $\begin{bmatrix}31&18\\130&11\end{bmatrix}$, $\begin{bmatrix}153&203\\74&141\end{bmatrix}$, $\begin{bmatrix}211&209\\178&123\end{bmatrix}$
228.96.0-12.b.1.8	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}37&62\\72&161\end{bmatrix}$, $\begin{bmatrix}51&181\\218&211\end{bmatrix}$, $\begin{bmatrix}153&202\\146&1\end{bmatrix}$, $\begin{bmatrix}169&185\\124&3\end{bmatrix}$
228.96.0-12.b.2.1	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}13&23\\72&71\end{bmatrix}$, $\begin{bmatrix}121&53\\148&111\end{bmatrix}$, $\begin{bmatrix}159&112\\224&43\end{bmatrix}$, $\begin{bmatrix}205&74\\46&105\end{bmatrix}$
228.96.0-12.b.2.2	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}13&221\\190&189\end{bmatrix}$, $\begin{bmatrix}125&55\\134&189\end{bmatrix}$, $\begin{bmatrix}137&85\\72&151\end{bmatrix}$, $\begin{bmatrix}207&74\\130&143\end{bmatrix}$
228.96.0-12.b.2.3	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}129&91\\160&195\end{bmatrix}$, $\begin{bmatrix}155&184\\216&175\end{bmatrix}$, $\begin{bmatrix}161&25\\0&163\end{bmatrix}$, $\begin{bmatrix}193&191\\66&29\end{bmatrix}$
228.96.0-12.b.2.4	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}69&212\\142&125\end{bmatrix}$, $\begin{bmatrix}117&76\\172&177\end{bmatrix}$, $\begin{bmatrix}151&83\\24&125\end{bmatrix}$, $\begin{bmatrix}161&73\\114&73\end{bmatrix}$
228.96.0-12.b.2.5	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}45&202\\8&25\end{bmatrix}$, $\begin{bmatrix}109&143\\168&95\end{bmatrix}$, $\begin{bmatrix}157&174\\64&89\end{bmatrix}$, $\begin{bmatrix}223&3\\78&19\end{bmatrix}$
228.96.0-12.b.2.6	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}83&129\\132&185\end{bmatrix}$, $\begin{bmatrix}87&178\\22&63\end{bmatrix}$, $\begin{bmatrix}103&86\\12&203\end{bmatrix}$, $\begin{bmatrix}163&140\\58&183\end{bmatrix}$
228.96.0-12.b.2.7	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}97&68\\156&53\end{bmatrix}$, $\begin{bmatrix}105&29\\68&39\end{bmatrix}$, $\begin{bmatrix}109&207\\102&121\end{bmatrix}$, $\begin{bmatrix}205&173\\34&57\end{bmatrix}$
228.96.0-12.b.2.8	12I0	$228$	$96$	$0$	$1$	$10$	$2$	$?$	?	?	not computed	$\begin{bmatrix}1&54\\214&53\end{bmatrix}$, $\begin{bmatrix}135&191\\100&173\end{bmatrix}$, $\begin{bmatrix}145&53\\22&81\end{bmatrix}$, $\begin{bmatrix}209&4\\218&69\end{bmatrix}$
228.96.0-12.c.1.1	12J0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}165&166\\200&7\end{bmatrix}$, $\begin{bmatrix}166&167\\181&120\end{bmatrix}$, $\begin{bmatrix}188&105\\113&40\end{bmatrix}$, $\begin{bmatrix}201&224\\142&59\end{bmatrix}$
228.96.0-12.c.1.2	12J0	$228$	$96$	$0$	$1$	$10$	$4$	$?$	?	?	not computed	$\begin{bmatrix}106&45\\91&128\end{bmatrix}$, $\begin{bmatrix}121&62\\64&27\end{bmatrix}$, $\begin{bmatrix}192&1\\113&16\end{bmatrix}$, $\begin{bmatrix}223&198\\12&25\end{bmatrix}$

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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.