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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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
248.48.0-4.a.1.1	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}61&20\\64&1\end{bmatrix}$, $\begin{bmatrix}139&206\\110&45\end{bmatrix}$, $\begin{bmatrix}165&90\\78&207\end{bmatrix}$, $\begin{bmatrix}179&48\\64&127\end{bmatrix}$, $\begin{bmatrix}195&132\\180&55\end{bmatrix}$
248.48.0-4.a.1.2	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}115&90\\218&129\end{bmatrix}$, $\begin{bmatrix}167&68\\116&59\end{bmatrix}$, $\begin{bmatrix}175&146\\214&181\end{bmatrix}$, $\begin{bmatrix}181&2\\54&23\end{bmatrix}$, $\begin{bmatrix}207&22\\118&101\end{bmatrix}$
248.48.0-4.a.1.3	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}19&188\\60&243\end{bmatrix}$, $\begin{bmatrix}69&240\\188&201\end{bmatrix}$, $\begin{bmatrix}85&6\\150&227\end{bmatrix}$, $\begin{bmatrix}143&200\\188&51\end{bmatrix}$, $\begin{bmatrix}225&182\\138&39\end{bmatrix}$
248.48.0-8.a.1.1	4G0	$248$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}49&42\\234&39\end{bmatrix}$, $\begin{bmatrix}51&196\\164&235\end{bmatrix}$, $\begin{bmatrix}117&224\\74&1\end{bmatrix}$, $\begin{bmatrix}215&8\\126&211\end{bmatrix}$
248.48.0-8.a.1.2	4G0	$248$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}17&102\\60&151\end{bmatrix}$, $\begin{bmatrix}121&92\\6&93\end{bmatrix}$, $\begin{bmatrix}189&50\\192&179\end{bmatrix}$, $\begin{bmatrix}243&82\\14&229\end{bmatrix}$
248.48.0-8.a.1.3	4G0	$248$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}69&90\\80&171\end{bmatrix}$, $\begin{bmatrix}163&152\\24&163\end{bmatrix}$, $\begin{bmatrix}209&200\\30&205\end{bmatrix}$, $\begin{bmatrix}241&196\\216&49\end{bmatrix}$
248.48.0-8.a.1.4	4G0	$248$	$48$	$0$	$1$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}11&150\\108&149\end{bmatrix}$, $\begin{bmatrix}63&76\\34&147\end{bmatrix}$, $\begin{bmatrix}101&152\\82&65\end{bmatrix}$, $\begin{bmatrix}105&34\\42&215\end{bmatrix}$
248.48.0-124.a.1.1	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}23&158\\136&149\end{bmatrix}$, $\begin{bmatrix}49&64\\22&45\end{bmatrix}$, $\begin{bmatrix}53&114\\48&243\end{bmatrix}$, $\begin{bmatrix}57&28\\106&77\end{bmatrix}$
248.48.0-124.a.1.2	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}27&126\\166&209\end{bmatrix}$, $\begin{bmatrix}29&110\\68&39\end{bmatrix}$, $\begin{bmatrix}107&154\\226&237\end{bmatrix}$, $\begin{bmatrix}113&154\\174&239\end{bmatrix}$
248.48.0-124.a.1.3	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}21&98\\216&203\end{bmatrix}$, $\begin{bmatrix}39&234\\22&13\end{bmatrix}$, $\begin{bmatrix}89&138\\22&39\end{bmatrix}$, $\begin{bmatrix}123&162\\220&229\end{bmatrix}$
248.48.0-124.a.1.4	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}109&44\\232&77\end{bmatrix}$, $\begin{bmatrix}163&124\\154&239\end{bmatrix}$, $\begin{bmatrix}185&192\\10&113\end{bmatrix}$, $\begin{bmatrix}227&18\\104&81\end{bmatrix}$
248.48.0-124.a.1.5	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}53&38\\210&231\end{bmatrix}$, $\begin{bmatrix}59&136\\170&31\end{bmatrix}$, $\begin{bmatrix}105&72\\28&5\end{bmatrix}$, $\begin{bmatrix}131&164\\8&159\end{bmatrix}$
248.48.0-124.a.1.6	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}35&246\\234&85\end{bmatrix}$, $\begin{bmatrix}103&100\\84&143\end{bmatrix}$, $\begin{bmatrix}119&154\\192&33\end{bmatrix}$, $\begin{bmatrix}235&76\\58&27\end{bmatrix}$
248.48.0.a.1	8N0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$10$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}39&144\\196&21\end{bmatrix}$, $\begin{bmatrix}139&52\\20&199\end{bmatrix}$, $\begin{bmatrix}181&12\\64&213\end{bmatrix}$, $\begin{bmatrix}183&80\\104&157\end{bmatrix}$, $\begin{bmatrix}207&12\\148&97\end{bmatrix}$, $\begin{bmatrix}211&144\\244&129\end{bmatrix}$
248.48.0-248.a.1.1	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}61&8\\50&159\end{bmatrix}$, $\begin{bmatrix}85&174\\42&235\end{bmatrix}$, $\begin{bmatrix}125&186\\36&85\end{bmatrix}$, $\begin{bmatrix}161&80\\166&23\end{bmatrix}$
248.48.0-248.a.1.2	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}23&240\\122&45\end{bmatrix}$, $\begin{bmatrix}189&126\\140&193\end{bmatrix}$, $\begin{bmatrix}191&76\\8&219\end{bmatrix}$, $\begin{bmatrix}243&170\\242&1\end{bmatrix}$
248.48.0-248.a.1.3	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}87&228\\26&113\end{bmatrix}$, $\begin{bmatrix}117&22\\172&213\end{bmatrix}$, $\begin{bmatrix}195&98\\60&39\end{bmatrix}$, $\begin{bmatrix}245&148\\156&157\end{bmatrix}$
248.48.0-248.a.1.4	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}167&168\\166&73\end{bmatrix}$, $\begin{bmatrix}199&56\\230&13\end{bmatrix}$, $\begin{bmatrix}209&220\\124&161\end{bmatrix}$, $\begin{bmatrix}227&70\\56&151\end{bmatrix}$
248.48.0-248.a.1.5	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}19&202\\214&81\end{bmatrix}$, $\begin{bmatrix}63&92\\60&147\end{bmatrix}$, $\begin{bmatrix}187&200\\220&123\end{bmatrix}$, $\begin{bmatrix}227&78\\4&215\end{bmatrix}$
248.48.0-248.a.1.6	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}27&100\\166&69\end{bmatrix}$, $\begin{bmatrix}35&202\\182&221\end{bmatrix}$, $\begin{bmatrix}85&98\\186&111\end{bmatrix}$, $\begin{bmatrix}213&240\\238&3\end{bmatrix}$
248.48.0-248.a.1.7	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}91&140\\246&185\end{bmatrix}$, $\begin{bmatrix}131&2\\174&21\end{bmatrix}$, $\begin{bmatrix}159&182\\18&117\end{bmatrix}$, $\begin{bmatrix}227&84\\72&183\end{bmatrix}$
248.48.0-248.a.1.8	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}23&138\\214&125\end{bmatrix}$, $\begin{bmatrix}75&160\\188&159\end{bmatrix}$, $\begin{bmatrix}85&108\\50&15\end{bmatrix}$, $\begin{bmatrix}87&226\\120&23\end{bmatrix}$
248.48.0-4.b.1.1	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}15&56\\156&179\end{bmatrix}$, $\begin{bmatrix}23&208\\100&237\end{bmatrix}$, $\begin{bmatrix}31&180\\36&189\end{bmatrix}$, $\begin{bmatrix}81&164\\144&45\end{bmatrix}$, $\begin{bmatrix}131&180\\92&151\end{bmatrix}$, $\begin{bmatrix}193&0\\124&21\end{bmatrix}$
248.48.0-4.b.1.2	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}1&104\\160&13\end{bmatrix}$, $\begin{bmatrix}83&0\\76&161\end{bmatrix}$, $\begin{bmatrix}99&148\\8&233\end{bmatrix}$, $\begin{bmatrix}125&84\\64&205\end{bmatrix}$, $\begin{bmatrix}215&144\\196&95\end{bmatrix}$, $\begin{bmatrix}247&4\\8&221\end{bmatrix}$
248.48.0-4.b.1.3	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}25&48\\180&73\end{bmatrix}$, $\begin{bmatrix}69&72\\4&229\end{bmatrix}$, $\begin{bmatrix}87&216\\172&211\end{bmatrix}$, $\begin{bmatrix}115&156\\76&97\end{bmatrix}$, $\begin{bmatrix}155&108\\208&135\end{bmatrix}$, $\begin{bmatrix}229&100\\32&239\end{bmatrix}$
248.48.0-4.b.1.4	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}15&244\\128&99\end{bmatrix}$, $\begin{bmatrix}23&92\\244&63\end{bmatrix}$, $\begin{bmatrix}109&124\\144&173\end{bmatrix}$, $\begin{bmatrix}159&240\\72&25\end{bmatrix}$, $\begin{bmatrix}183&204\\36&59\end{bmatrix}$, $\begin{bmatrix}241&152\\204&27\end{bmatrix}$
248.48.0-4.b.1.5	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}17&140\\104&171\end{bmatrix}$, $\begin{bmatrix}17&160\\192&117\end{bmatrix}$, $\begin{bmatrix}167&64\\136&179\end{bmatrix}$, $\begin{bmatrix}213&36\\88&27\end{bmatrix}$, $\begin{bmatrix}227&188\\160&231\end{bmatrix}$, $\begin{bmatrix}229&136\\124&19\end{bmatrix}$
248.48.0-4.b.1.6	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}99&156\\0&105\end{bmatrix}$, $\begin{bmatrix}187&140\\140&47\end{bmatrix}$, $\begin{bmatrix}207&216\\112&209\end{bmatrix}$, $\begin{bmatrix}229&0\\184&243\end{bmatrix}$, $\begin{bmatrix}231&224\\128&149\end{bmatrix}$, $\begin{bmatrix}245&124\\64&91\end{bmatrix}$
248.48.0-4.b.1.7	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}15&152\\160&91\end{bmatrix}$, $\begin{bmatrix}53&84\\192&91\end{bmatrix}$, $\begin{bmatrix}153&244\\60&223\end{bmatrix}$, $\begin{bmatrix}163&4\\160&135\end{bmatrix}$, $\begin{bmatrix}201&48\\80&213\end{bmatrix}$, $\begin{bmatrix}201&84\\40&187\end{bmatrix}$
248.48.0-4.b.1.8	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}45&92\\196&207\end{bmatrix}$, $\begin{bmatrix}87&220\\184&157\end{bmatrix}$, $\begin{bmatrix}157&224\\244&59\end{bmatrix}$, $\begin{bmatrix}213&48\\40&223\end{bmatrix}$, $\begin{bmatrix}219&40\\236&13\end{bmatrix}$, $\begin{bmatrix}237&112\\4&161\end{bmatrix}$
248.48.0-4.b.1.9	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}93&176\\216&215\end{bmatrix}$, $\begin{bmatrix}111&48\\168&27\end{bmatrix}$, $\begin{bmatrix}111&128\\200&199\end{bmatrix}$, $\begin{bmatrix}229&176\\76&1\end{bmatrix}$, $\begin{bmatrix}231&124\\236&151\end{bmatrix}$, $\begin{bmatrix}241&132\\104&33\end{bmatrix}$
248.48.0-4.b.1.10	4G0	$248$	$48$	$0$	$1$	$6$	$4$	$?$	?	?		not computed		$\begin{bmatrix}55&216\\28&239\end{bmatrix}$, $\begin{bmatrix}137&128\\36&133\end{bmatrix}$, $\begin{bmatrix}153&8\\208&189\end{bmatrix}$, $\begin{bmatrix}185&100\\16&31\end{bmatrix}$, $\begin{bmatrix}205&32\\180&55\end{bmatrix}$, $\begin{bmatrix}211&196\\100&237\end{bmatrix}$
248.48.0-8.b.1.1	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}73&54\\142&131\end{bmatrix}$, $\begin{bmatrix}171&92\\42&167\end{bmatrix}$, $\begin{bmatrix}215&234\\220&181\end{bmatrix}$, $\begin{bmatrix}243&72\\36&115\end{bmatrix}$
248.48.0-8.b.1.2	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}25&212\\138&221\end{bmatrix}$, $\begin{bmatrix}157&56\\126&1\end{bmatrix}$, $\begin{bmatrix}171&18\\98&65\end{bmatrix}$, $\begin{bmatrix}233&122\\156&155\end{bmatrix}$
248.48.0-8.b.1.3	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}3&48\\190&199\end{bmatrix}$, $\begin{bmatrix}181&10\\210&199\end{bmatrix}$, $\begin{bmatrix}221&212\\130&25\end{bmatrix}$, $\begin{bmatrix}243&76\\186&55\end{bmatrix}$
248.48.0-8.b.1.4	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}9&206\\202&11\end{bmatrix}$, $\begin{bmatrix}75&222\\88&137\end{bmatrix}$, $\begin{bmatrix}91&42\\232&169\end{bmatrix}$, $\begin{bmatrix}167&70\\130&133\end{bmatrix}$
248.48.0-124.b.1.1	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}43&152\\148&15\end{bmatrix}$, $\begin{bmatrix}153&216\\150&43\end{bmatrix}$, $\begin{bmatrix}165&46\\186&99\end{bmatrix}$, $\begin{bmatrix}187&44\\122&149\end{bmatrix}$
248.48.0-124.b.1.2	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}47&50\\186&213\end{bmatrix}$, $\begin{bmatrix}57&240\\74&159\end{bmatrix}$, $\begin{bmatrix}137&226\\20&245\end{bmatrix}$, $\begin{bmatrix}239&10\\214&229\end{bmatrix}$
248.48.0-124.b.1.3	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}45&14\\140&193\end{bmatrix}$, $\begin{bmatrix}135&188\\220&51\end{bmatrix}$, $\begin{bmatrix}155&44\\10&101\end{bmatrix}$, $\begin{bmatrix}155&82\\224&7\end{bmatrix}$
248.48.0-124.b.1.4	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}43&52\\16&31\end{bmatrix}$, $\begin{bmatrix}57&120\\12&37\end{bmatrix}$, $\begin{bmatrix}59&154\\206&229\end{bmatrix}$, $\begin{bmatrix}221&240\\226&79\end{bmatrix}$
248.48.0-124.b.1.5	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}103&182\\198&221\end{bmatrix}$, $\begin{bmatrix}209&162\\72&125\end{bmatrix}$, $\begin{bmatrix}237&198\\216&221\end{bmatrix}$, $\begin{bmatrix}245&40\\134&99\end{bmatrix}$
248.48.0-124.b.1.6	4G0	$248$	$48$	$0$	$2$	$6$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}81&116\\238&219\end{bmatrix}$, $\begin{bmatrix}117&142\\140&121\end{bmatrix}$, $\begin{bmatrix}151&16\\172&135\end{bmatrix}$, $\begin{bmatrix}211&16\\72&151\end{bmatrix}$
248.48.0.b.1	8N0	$248$	$48$	$0$	$1$	$10$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}35&176\\132&35\end{bmatrix}$, $\begin{bmatrix}37&34\\164&31\end{bmatrix}$, $\begin{bmatrix}109&208\\60&57\end{bmatrix}$, $\begin{bmatrix}139&46\\112&125\end{bmatrix}$, $\begin{bmatrix}209&204\\212&1\end{bmatrix}$, $\begin{bmatrix}211&146\\16&121\end{bmatrix}$
248.48.0-248.b.1.1	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}101&236\\232&171\end{bmatrix}$, $\begin{bmatrix}149&114\\102&211\end{bmatrix}$, $\begin{bmatrix}177&198\\112&243\end{bmatrix}$
248.48.0-248.b.1.2	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}9&140\\66&247\end{bmatrix}$, $\begin{bmatrix}67&140\\104&197\end{bmatrix}$, $\begin{bmatrix}129&238\\170&223\end{bmatrix}$
248.48.0-248.b.1.3	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}175&148\\70&79\end{bmatrix}$, $\begin{bmatrix}233&30\\172&51\end{bmatrix}$, $\begin{bmatrix}247&194\\186&143\end{bmatrix}$
248.48.0-248.b.1.4	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}3&88\\234&61\end{bmatrix}$, $\begin{bmatrix}7&142\\112&181\end{bmatrix}$, $\begin{bmatrix}11&192\\244&77\end{bmatrix}$
248.48.0-248.b.1.5	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}31&46\\42&87\end{bmatrix}$, $\begin{bmatrix}97&26\\216&43\end{bmatrix}$, $\begin{bmatrix}167&14\\144&243\end{bmatrix}$
248.48.0-248.b.1.6	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}79&148\\98&175\end{bmatrix}$, $\begin{bmatrix}99&28\\206&157\end{bmatrix}$, $\begin{bmatrix}219&150\\12&175\end{bmatrix}$
248.48.0-248.b.1.7	4G0	$248$	$48$	$0$	$1 \le \gamma \le 2$	$6$	$0$	$?$	?	?		not computed	?	$\begin{bmatrix}103&90\\74&97\end{bmatrix}$, $\begin{bmatrix}141&82\\52&103\end{bmatrix}$, $\begin{bmatrix}247&116\\120&97\end{bmatrix}$

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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.