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 362 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
248.24.0-4.a.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&188\\166&237\end{bmatrix}$, $\begin{bmatrix}87&160\\156&23\end{bmatrix}$, $\begin{bmatrix}137&174\\90&239\end{bmatrix}$, $\begin{bmatrix}159&38\\126&181\end{bmatrix}$, $\begin{bmatrix}161&22\\122&83\end{bmatrix}$
248.24.0-4.a.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&54\\208&9\end{bmatrix}$, $\begin{bmatrix}97&244\\186&237\end{bmatrix}$, $\begin{bmatrix}101&132\\160&237\end{bmatrix}$, $\begin{bmatrix}191&118\\26&105\end{bmatrix}$, $\begin{bmatrix}193&38\\142&115\end{bmatrix}$
248.24.0-4.a.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}29&170\\110&87\end{bmatrix}$, $\begin{bmatrix}109&4\\98&93\end{bmatrix}$, $\begin{bmatrix}159&48\\20&195\end{bmatrix}$, $\begin{bmatrix}193&134\\38&47\end{bmatrix}$, $\begin{bmatrix}217&12\\74&13\end{bmatrix}$
248.24.0-4.a.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}27&86\\230&197\end{bmatrix}$, $\begin{bmatrix}47&42\\112&217\end{bmatrix}$, $\begin{bmatrix}59&72\\126&31\end{bmatrix}$, $\begin{bmatrix}79&138\\180&45\end{bmatrix}$, $\begin{bmatrix}229&192\\118&81\end{bmatrix}$
248.24.0-4.a.1.5	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}117&6\\158&163\end{bmatrix}$, $\begin{bmatrix}119&164\\182&95\end{bmatrix}$, $\begin{bmatrix}181&236\\42&69\end{bmatrix}$, $\begin{bmatrix}189&46\\224&227\end{bmatrix}$, $\begin{bmatrix}191&126\\190&177\end{bmatrix}$
248.24.0-4.a.1.6	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}47&48\\16&3\end{bmatrix}$, $\begin{bmatrix}53&166\\188&51\end{bmatrix}$, $\begin{bmatrix}117&12\\28&33\end{bmatrix}$, $\begin{bmatrix}165&70\\126&83\end{bmatrix}$, $\begin{bmatrix}235&84\\2&91\end{bmatrix}$
248.24.0-8.a.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}21&54\\64&113\end{bmatrix}$, $\begin{bmatrix}33&188\\30&1\end{bmatrix}$, $\begin{bmatrix}223&22\\26&175\end{bmatrix}$, $\begin{bmatrix}237&72\\118&219\end{bmatrix}$
248.24.0-8.a.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}15&44\\62&63\end{bmatrix}$, $\begin{bmatrix}41&64\\166&7\end{bmatrix}$, $\begin{bmatrix}165&190\\186&45\end{bmatrix}$, $\begin{bmatrix}219&140\\60&83\end{bmatrix}$
248.24.0-8.a.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}105&212\\26&209\end{bmatrix}$, $\begin{bmatrix}181&174\\62&45\end{bmatrix}$, $\begin{bmatrix}191&36\\120&71\end{bmatrix}$, $\begin{bmatrix}237&148\\6&91\end{bmatrix}$
248.24.0-8.a.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}51&22\\214&157\end{bmatrix}$, $\begin{bmatrix}53&186\\170&77\end{bmatrix}$, $\begin{bmatrix}65&54\\90&127\end{bmatrix}$, $\begin{bmatrix}163&104\\246&45\end{bmatrix}$
248.24.0-124.a.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&124\\198&1\end{bmatrix}$, $\begin{bmatrix}171&198\\54&67\end{bmatrix}$, $\begin{bmatrix}233&104\\100&135\end{bmatrix}$, $\begin{bmatrix}237&222\\102&175\end{bmatrix}$
248.24.0-124.a.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}55&124\\118&91\end{bmatrix}$, $\begin{bmatrix}75&240\\182&53\end{bmatrix}$, $\begin{bmatrix}163&72\\40&45\end{bmatrix}$, $\begin{bmatrix}237&178\\178&239\end{bmatrix}$
248.24.0-124.a.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}133&54\\208&139\end{bmatrix}$, $\begin{bmatrix}169&172\\84&247\end{bmatrix}$, $\begin{bmatrix}195&14\\192&193\end{bmatrix}$, $\begin{bmatrix}197&226\\130&115\end{bmatrix}$
248.24.0-124.a.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}81&238\\40&223\end{bmatrix}$, $\begin{bmatrix}113&142\\148&157\end{bmatrix}$, $\begin{bmatrix}115&146\\40&217\end{bmatrix}$, $\begin{bmatrix}175&156\\214&127\end{bmatrix}$
248.24.0.a.1	4G0	$248$	$24$	$0$	$2$	$6$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}7&204\\106&217\end{bmatrix}$, $\begin{bmatrix}77&92\\230&95\end{bmatrix}$, $\begin{bmatrix}113&118\\198&47\end{bmatrix}$, $\begin{bmatrix}177&190\\196&21\end{bmatrix}$, $\begin{bmatrix}199&234\\148&75\end{bmatrix}$
248.24.0-248.a.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}37&104\\70&5\end{bmatrix}$, $\begin{bmatrix}73&226\\28&59\end{bmatrix}$, $\begin{bmatrix}85&122\\226&175\end{bmatrix}$, $\begin{bmatrix}133&138\\98&49\end{bmatrix}$
248.24.0-248.a.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}5&174\\176&33\end{bmatrix}$, $\begin{bmatrix}69&102\\176&215\end{bmatrix}$, $\begin{bmatrix}93&168\\78&229\end{bmatrix}$, $\begin{bmatrix}143&210\\82&13\end{bmatrix}$
248.24.0-248.a.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}61&62\\114&37\end{bmatrix}$, $\begin{bmatrix}177&210\\72&167\end{bmatrix}$, $\begin{bmatrix}215&142\\94&121\end{bmatrix}$, $\begin{bmatrix}245&224\\132&199\end{bmatrix}$
248.24.0-248.a.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}107&144\\4&101\end{bmatrix}$, $\begin{bmatrix}133&36\\138&165\end{bmatrix}$, $\begin{bmatrix}137&134\\164&73\end{bmatrix}$, $\begin{bmatrix}185&150\\18&113\end{bmatrix}$
248.24.0-248.a.1.5	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}67&130\\162&25\end{bmatrix}$, $\begin{bmatrix}123&112\\112&167\end{bmatrix}$, $\begin{bmatrix}155&18\\68&217\end{bmatrix}$, $\begin{bmatrix}209&66\\188&245\end{bmatrix}$
248.24.0-248.a.1.6	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}85&16\\60&129\end{bmatrix}$, $\begin{bmatrix}137&96\\242&3\end{bmatrix}$, $\begin{bmatrix}143&54\\228&41\end{bmatrix}$, $\begin{bmatrix}181&166\\230&27\end{bmatrix}$
248.24.0-248.a.1.7	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&100\\30&11\end{bmatrix}$, $\begin{bmatrix}23&204\\110&189\end{bmatrix}$, $\begin{bmatrix}59&86\\20&23\end{bmatrix}$, $\begin{bmatrix}131&212\\146&229\end{bmatrix}$
248.24.0-248.a.1.8	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}11&108\\80&73\end{bmatrix}$, $\begin{bmatrix}103&208\\106&175\end{bmatrix}$, $\begin{bmatrix}155&128\\166&85\end{bmatrix}$, $\begin{bmatrix}245&26\\124&179\end{bmatrix}$
248.24.0-4.b.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}75&224\\134&19\end{bmatrix}$, $\begin{bmatrix}115&96\\198&53\end{bmatrix}$, $\begin{bmatrix}183&32\\190&31\end{bmatrix}$, $\begin{bmatrix}215&168\\128&133\end{bmatrix}$, $\begin{bmatrix}231&100\\74&95\end{bmatrix}$, $\begin{bmatrix}231&244\\240&143\end{bmatrix}$
248.24.0-4.b.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}45&180\\14&73\end{bmatrix}$, $\begin{bmatrix}85&32\\86&75\end{bmatrix}$, $\begin{bmatrix}113&196\\238&5\end{bmatrix}$, $\begin{bmatrix}147&136\\140&3\end{bmatrix}$, $\begin{bmatrix}157&92\\6&103\end{bmatrix}$, $\begin{bmatrix}227&232\\10&167\end{bmatrix}$
248.24.0-4.b.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}37&184\\68&39\end{bmatrix}$, $\begin{bmatrix}123&172\\90&61\end{bmatrix}$, $\begin{bmatrix}131&120\\158&235\end{bmatrix}$, $\begin{bmatrix}207&104\\76&125\end{bmatrix}$, $\begin{bmatrix}209&84\\90&61\end{bmatrix}$, $\begin{bmatrix}245&8\\78&3\end{bmatrix}$
248.24.0-4.b.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}73&108\\224&51\end{bmatrix}$, $\begin{bmatrix}115&212\\168&247\end{bmatrix}$, $\begin{bmatrix}151&136\\240&7\end{bmatrix}$, $\begin{bmatrix}161&204\\226&175\end{bmatrix}$, $\begin{bmatrix}195&200\\200&83\end{bmatrix}$, $\begin{bmatrix}231&64\\22&57\end{bmatrix}$
248.24.0-4.b.1.5	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}53&148\\114&31\end{bmatrix}$, $\begin{bmatrix}91&44\\90&233\end{bmatrix}$, $\begin{bmatrix}117&20\\140&5\end{bmatrix}$, $\begin{bmatrix}157&128\\206&103\end{bmatrix}$, $\begin{bmatrix}163&148\\6&59\end{bmatrix}$, $\begin{bmatrix}203&48\\218&71\end{bmatrix}$
248.24.0-4.b.1.6	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}35&100\\86&103\end{bmatrix}$, $\begin{bmatrix}47&228\\224&193\end{bmatrix}$, $\begin{bmatrix}103&144\\92&123\end{bmatrix}$, $\begin{bmatrix}109&92\\52&189\end{bmatrix}$, $\begin{bmatrix}119&144\\62&129\end{bmatrix}$, $\begin{bmatrix}137&60\\10&159\end{bmatrix}$
248.24.0-4.b.1.7	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}71&56\\112&123\end{bmatrix}$, $\begin{bmatrix}157&68\\114&27\end{bmatrix}$, $\begin{bmatrix}159&156\\196&193\end{bmatrix}$, $\begin{bmatrix}215&64\\192&45\end{bmatrix}$, $\begin{bmatrix}229&212\\38&15\end{bmatrix}$, $\begin{bmatrix}231&112\\138&175\end{bmatrix}$
248.24.0-4.b.1.8	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}39&60\\206&207\end{bmatrix}$, $\begin{bmatrix}51&92\\168&23\end{bmatrix}$, $\begin{bmatrix}67&144\\44&99\end{bmatrix}$, $\begin{bmatrix}71&228\\68&225\end{bmatrix}$, $\begin{bmatrix}177&116\\16&139\end{bmatrix}$, $\begin{bmatrix}203&52\\222&107\end{bmatrix}$
248.24.0-4.b.1.9	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}9&112\\140&83\end{bmatrix}$, $\begin{bmatrix}23&64\\152&107\end{bmatrix}$, $\begin{bmatrix}51&100\\106&69\end{bmatrix}$, $\begin{bmatrix}61&16\\188&103\end{bmatrix}$, $\begin{bmatrix}173&244\\174&129\end{bmatrix}$, $\begin{bmatrix}197&104\\82&217\end{bmatrix}$
248.24.0-4.b.1.10	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}9&140\\72&171\end{bmatrix}$, $\begin{bmatrix}39&192\\166&67\end{bmatrix}$, $\begin{bmatrix}45&168\\174&161\end{bmatrix}$, $\begin{bmatrix}77&228\\218&239\end{bmatrix}$, $\begin{bmatrix}107&56\\158&243\end{bmatrix}$, $\begin{bmatrix}197&196\\150&45\end{bmatrix}$
248.24.0-4.b.1.11	4E0	$248$	$24$	$0$	$1$	$4$	$4$	$?$	?	?		not computed		$\begin{bmatrix}21&44\\8&177\end{bmatrix}$, $\begin{bmatrix}87&32\\90&181\end{bmatrix}$, $\begin{bmatrix}153&236\\176&201\end{bmatrix}$, $\begin{bmatrix}173&144\\136&71\end{bmatrix}$, $\begin{bmatrix}183&52\\124&65\end{bmatrix}$, $\begin{bmatrix}239&164\\96&19\end{bmatrix}$
248.24.0-8.b.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}53&130\\204&195\end{bmatrix}$, $\begin{bmatrix}71&208\\108&143\end{bmatrix}$, $\begin{bmatrix}107&60\\112&129\end{bmatrix}$, $\begin{bmatrix}227&124\\234&153\end{bmatrix}$
248.24.0-8.b.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}77&40\\238&167\end{bmatrix}$, $\begin{bmatrix}163&36\\76&107\end{bmatrix}$, $\begin{bmatrix}173&54\\234&159\end{bmatrix}$, $\begin{bmatrix}211&198\\126&147\end{bmatrix}$
248.24.0-8.b.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}35&48\\10&209\end{bmatrix}$, $\begin{bmatrix}109&220\\94&239\end{bmatrix}$, $\begin{bmatrix}153&90\\124&143\end{bmatrix}$, $\begin{bmatrix}197&86\\208&137\end{bmatrix}$
248.24.0-8.b.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}35&20\\28&115\end{bmatrix}$, $\begin{bmatrix}143&86\\76&43\end{bmatrix}$, $\begin{bmatrix}177&42\\158&131\end{bmatrix}$, $\begin{bmatrix}223&186\\240&105\end{bmatrix}$
248.24.0-124.b.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}29&52\\48&159\end{bmatrix}$, $\begin{bmatrix}53&78\\20&165\end{bmatrix}$, $\begin{bmatrix}143&138\\128&153\end{bmatrix}$, $\begin{bmatrix}225&78\\106&63\end{bmatrix}$
248.24.0-124.b.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}155&120\\144&15\end{bmatrix}$, $\begin{bmatrix}165&110\\142&11\end{bmatrix}$, $\begin{bmatrix}237&234\\138&69\end{bmatrix}$, $\begin{bmatrix}245&220\\114&237\end{bmatrix}$
248.24.0-124.b.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}7&180\\114&209\end{bmatrix}$, $\begin{bmatrix}23&230\\236&75\end{bmatrix}$, $\begin{bmatrix}83&166\\134&239\end{bmatrix}$, $\begin{bmatrix}97&188\\78&171\end{bmatrix}$
248.24.0-124.b.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}71&40\\140&235\end{bmatrix}$, $\begin{bmatrix}87&198\\128&47\end{bmatrix}$, $\begin{bmatrix}123&126\\236&33\end{bmatrix}$, $\begin{bmatrix}179&242\\86&177\end{bmatrix}$
248.24.0.b.1	4G0	$248$	$24$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}17&234\\80&157\end{bmatrix}$, $\begin{bmatrix}27&74\\242&61\end{bmatrix}$, $\begin{bmatrix}29&152\\148&75\end{bmatrix}$, $\begin{bmatrix}197&6\\10&195\end{bmatrix}$
248.24.0-248.b.1.1	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}37&128\\62&79\end{bmatrix}$, $\begin{bmatrix}57&196\\230&153\end{bmatrix}$, $\begin{bmatrix}145&60\\224&191\end{bmatrix}$, $\begin{bmatrix}189&110\\170&207\end{bmatrix}$
248.24.0-248.b.1.2	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}111&124\\132&139\end{bmatrix}$, $\begin{bmatrix}165&210\\214&205\end{bmatrix}$, $\begin{bmatrix}191&20\\94&131\end{bmatrix}$, $\begin{bmatrix}235&16\\22&13\end{bmatrix}$
248.24.0-248.b.1.3	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}13&4\\148&19\end{bmatrix}$, $\begin{bmatrix}35&44\\236&113\end{bmatrix}$, $\begin{bmatrix}69&22\\134&163\end{bmatrix}$, $\begin{bmatrix}175&138\\200&17\end{bmatrix}$
248.24.0-248.b.1.4	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}55&172\\22&113\end{bmatrix}$, $\begin{bmatrix}65&186\\154&133\end{bmatrix}$, $\begin{bmatrix}79&158\\72&117\end{bmatrix}$, $\begin{bmatrix}143&114\\178&105\end{bmatrix}$
248.24.0-248.b.1.5	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}9&76\\64&47\end{bmatrix}$, $\begin{bmatrix}41&146\\104&227\end{bmatrix}$, $\begin{bmatrix}55&190\\6&113\end{bmatrix}$, $\begin{bmatrix}103&0\\244&125\end{bmatrix}$
248.24.0-248.b.1.6	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&152\\194&35\end{bmatrix}$, $\begin{bmatrix}115&68\\164&229\end{bmatrix}$, $\begin{bmatrix}149&234\\34&15\end{bmatrix}$, $\begin{bmatrix}233&186\\200&57\end{bmatrix}$
248.24.0-248.b.1.7	4E0	$248$	$24$	$0$	$1$	$4$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&104\\236&245\end{bmatrix}$, $\begin{bmatrix}83&62\\178&95\end{bmatrix}$, $\begin{bmatrix}125&202\\60&229\end{bmatrix}$, $\begin{bmatrix}203&88\\68&215\end{bmatrix}$

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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.