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 at least 1000)

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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
328.2.0.a.1	2A0	$328$	$2$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}127&146\\327&173\end{bmatrix}$, $\begin{bmatrix}176&185\\269&20\end{bmatrix}$, $\begin{bmatrix}316&257\\159&294\end{bmatrix}$
328.2.0.b.1	2A0	$328$	$2$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}117&66\\295&205\end{bmatrix}$, $\begin{bmatrix}284&307\\203&309\end{bmatrix}$, $\begin{bmatrix}289&157\\224&55\end{bmatrix}$
328.4.0-2.a.1.1	2A0	$328$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}27&221\\31&126\end{bmatrix}$, $\begin{bmatrix}71&301\\263&56\end{bmatrix}$, $\begin{bmatrix}249&60\\166&21\end{bmatrix}$
328.4.0-4.a.1.1	2A0	$328$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}32&283\\143&284\end{bmatrix}$, $\begin{bmatrix}249&218\\282&97\end{bmatrix}$, $\begin{bmatrix}255&135\\83&294\end{bmatrix}$
328.6.0.a.1	2C0	$328$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}63&12\\256&61\end{bmatrix}$, $\begin{bmatrix}115&44\\284&295\end{bmatrix}$, $\begin{bmatrix}301&14\\44&37\end{bmatrix}$, $\begin{bmatrix}322&191\\243&156\end{bmatrix}$
328.6.0.b.1	2C0	$328$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}173&214\\294&135\end{bmatrix}$, $\begin{bmatrix}195&56\\220&9\end{bmatrix}$, $\begin{bmatrix}226&185\\183&276\end{bmatrix}$, $\begin{bmatrix}269&316\\250&127\end{bmatrix}$
328.6.0.c.1	4B0	$328$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}66&33\\201&148\end{bmatrix}$, $\begin{bmatrix}98&5\\245&294\end{bmatrix}$, $\begin{bmatrix}113&150\\256&3\end{bmatrix}$, $\begin{bmatrix}224&291\\231&74\end{bmatrix}$
328.6.0.d.1	4B0	$328$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}125&154\\104&97\end{bmatrix}$, $\begin{bmatrix}128&159\\277&8\end{bmatrix}$, $\begin{bmatrix}179&136\\28&9\end{bmatrix}$, $\begin{bmatrix}286&157\\31&220\end{bmatrix}$
328.6.0.e.1	4C0	$328$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}150&281\\327&56\end{bmatrix}$, $\begin{bmatrix}172&91\\313&234\end{bmatrix}$, $\begin{bmatrix}178&187\\169&134\end{bmatrix}$, $\begin{bmatrix}201&60\\188&315\end{bmatrix}$
328.6.0.f.1	4C0	$328$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}55&112\\324&171\end{bmatrix}$, $\begin{bmatrix}76&153\\179&80\end{bmatrix}$, $\begin{bmatrix}204&325\\29&78\end{bmatrix}$, $\begin{bmatrix}271&150\\74&253\end{bmatrix}$
328.8.0.a.1	4D0	$328$	$8$	$0$	$1 \le \gamma \le 2$	$2$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}229&99\\125&284\end{bmatrix}$, $\begin{bmatrix}305&46\\131&3\end{bmatrix}$, $\begin{bmatrix}316&199\\99&252\end{bmatrix}$
328.8.0.b.1	4D0	$328$	$8$	$0$	$2$	$2$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}49&286\\75&79\end{bmatrix}$, $\begin{bmatrix}316&85\\267&249\end{bmatrix}$, $\begin{bmatrix}325&309\\131&254\end{bmatrix}$
328.12.0-2.a.1.1	2C0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}21&90\\50&247\end{bmatrix}$, $\begin{bmatrix}99&214\\188&103\end{bmatrix}$, $\begin{bmatrix}187&68\\248&45\end{bmatrix}$, $\begin{bmatrix}221&320\\318&91\end{bmatrix}$, $\begin{bmatrix}325&92\\208&273\end{bmatrix}$
328.12.0-2.a.1.2	2C0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}79&196\\270&267\end{bmatrix}$, $\begin{bmatrix}117&316\\160&227\end{bmatrix}$, $\begin{bmatrix}173&58\\36&259\end{bmatrix}$, $\begin{bmatrix}221&0\\240&89\end{bmatrix}$, $\begin{bmatrix}321&28\\2&151\end{bmatrix}$
328.12.0-4.a.1.1	2C0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}59&96\\246&27\end{bmatrix}$, $\begin{bmatrix}169&214\\314&121\end{bmatrix}$, $\begin{bmatrix}261&78\\132&109\end{bmatrix}$, $\begin{bmatrix}324&181\\241&20\end{bmatrix}$
328.12.0-4.a.1.2	2C0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}113&22\\128&177\end{bmatrix}$, $\begin{bmatrix}162&181\\289&142\end{bmatrix}$, $\begin{bmatrix}197&60\\116&97\end{bmatrix}$, $\begin{bmatrix}295&314\\176&195\end{bmatrix}$
328.12.0.a.1	4E0	$328$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}135&132\\244&301\end{bmatrix}$, $\begin{bmatrix}179&34\\4&73\end{bmatrix}$, $\begin{bmatrix}215&82\\64&199\end{bmatrix}$, $\begin{bmatrix}305&256\\234&75\end{bmatrix}$, $\begin{bmatrix}307&172\\88&279\end{bmatrix}$
328.12.0-4.b.1.1	4B0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}145&244\\244&195\end{bmatrix}$, $\begin{bmatrix}184&139\\277&190\end{bmatrix}$, $\begin{bmatrix}221&192\\316&289\end{bmatrix}$, $\begin{bmatrix}295&32\\216&55\end{bmatrix}$
328.12.0-4.b.1.2	4B0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}158&35\\171&40\end{bmatrix}$, $\begin{bmatrix}217&178\\66&49\end{bmatrix}$, $\begin{bmatrix}228&179\\207&266\end{bmatrix}$, $\begin{bmatrix}258&25\\219&172\end{bmatrix}$
328.12.0-4.b.1.3	4B0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}103&236\\180&163\end{bmatrix}$, $\begin{bmatrix}173&98\\122&261\end{bmatrix}$, $\begin{bmatrix}251&194\\90&93\end{bmatrix}$, $\begin{bmatrix}306&61\\175&252\end{bmatrix}$
328.12.0-4.b.1.4	4B0	$328$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}39&288\\244&309\end{bmatrix}$, $\begin{bmatrix}227&208\\256&217\end{bmatrix}$, $\begin{bmatrix}290&95\\13&56\end{bmatrix}$, $\begin{bmatrix}294&287\\107&116\end{bmatrix}$
328.12.0.b.1	4E0	$328$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}1&132\\274&275\end{bmatrix}$, $\begin{bmatrix}189&236\\308&231\end{bmatrix}$, $\begin{bmatrix}221&306\\294&223\end{bmatrix}$, $\begin{bmatrix}229&154\\134&281\end{bmatrix}$, $\begin{bmatrix}307&92\\68&43\end{bmatrix}$
328.12.0-4.c.1.1	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}25&68\\198&263\end{bmatrix}$, $\begin{bmatrix}29&156\\210&235\end{bmatrix}$, $\begin{bmatrix}34&285\\1&50\end{bmatrix}$, $\begin{bmatrix}179&188\\236&55\end{bmatrix}$, $\begin{bmatrix}315&46\\248&161\end{bmatrix}$
328.12.0-4.c.1.2	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}114&61\\39&184\end{bmatrix}$, $\begin{bmatrix}131&36\\174&105\end{bmatrix}$, $\begin{bmatrix}214&299\\267&58\end{bmatrix}$, $\begin{bmatrix}226&41\\265&118\end{bmatrix}$, $\begin{bmatrix}311&236\\0&127\end{bmatrix}$
328.12.0-4.c.1.3	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}84&145\\237&28\end{bmatrix}$, $\begin{bmatrix}215&70\\260&261\end{bmatrix}$, $\begin{bmatrix}256&15\\29&110\end{bmatrix}$, $\begin{bmatrix}294&319\\27&282\end{bmatrix}$, $\begin{bmatrix}323&304\\10&37\end{bmatrix}$
328.12.0-4.c.1.4	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}3&78\\10&163\end{bmatrix}$, $\begin{bmatrix}121&230\\206&233\end{bmatrix}$, $\begin{bmatrix}187&176\\280&3\end{bmatrix}$, $\begin{bmatrix}203&258\\260&45\end{bmatrix}$, $\begin{bmatrix}220&289\\137&108\end{bmatrix}$
328.12.0-4.c.1.5	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}10&113\\267&0\end{bmatrix}$, $\begin{bmatrix}140&101\\147&290\end{bmatrix}$, $\begin{bmatrix}167&136\\158&45\end{bmatrix}$, $\begin{bmatrix}239&248\\218&201\end{bmatrix}$, $\begin{bmatrix}252&159\\305&262\end{bmatrix}$
328.12.0-4.c.1.6	4B0	$328$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}66&203\\153&316\end{bmatrix}$, $\begin{bmatrix}72&3\\189&174\end{bmatrix}$, $\begin{bmatrix}122&273\\13&14\end{bmatrix}$, $\begin{bmatrix}246&201\\53&286\end{bmatrix}$, $\begin{bmatrix}256&185\\311&222\end{bmatrix}$
328.12.0.c.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}187&54\\165&111\end{bmatrix}$, $\begin{bmatrix}217&274\\260&299\end{bmatrix}$, $\begin{bmatrix}305&266\\256&177\end{bmatrix}$
328.12.0.d.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}199&48\\291&307\end{bmatrix}$, $\begin{bmatrix}249&290\\26&63\end{bmatrix}$, $\begin{bmatrix}255&198\\112&319\end{bmatrix}$
328.12.0.e.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}75&168\\158&273\end{bmatrix}$, $\begin{bmatrix}81&250\\23&187\end{bmatrix}$, $\begin{bmatrix}111&44\\199&229\end{bmatrix}$
328.12.0.f.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}75&294\\200&113\end{bmatrix}$, $\begin{bmatrix}179&282\\315&81\end{bmatrix}$, $\begin{bmatrix}239&26\\61&79\end{bmatrix}$
328.12.0.g.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}5&264\\220&225\end{bmatrix}$, $\begin{bmatrix}31&320\\256&107\end{bmatrix}$, $\begin{bmatrix}81&254\\137&1\end{bmatrix}$, $\begin{bmatrix}237&224\\179&119\end{bmatrix}$
328.12.0.h.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}83&258\\108&131\end{bmatrix}$, $\begin{bmatrix}113&146\\285&189\end{bmatrix}$, $\begin{bmatrix}235&74\\201&37\end{bmatrix}$
328.12.0.i.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}55&256\\162&297\end{bmatrix}$, $\begin{bmatrix}145&254\\149&233\end{bmatrix}$, $\begin{bmatrix}169&274\\186&163\end{bmatrix}$
328.12.0.j.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}19&4\\132&79\end{bmatrix}$, $\begin{bmatrix}203&214\\288&163\end{bmatrix}$, $\begin{bmatrix}221&220\\8&81\end{bmatrix}$, $\begin{bmatrix}305&82\\13&73\end{bmatrix}$
328.12.0.k.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}107&296\\322&213\end{bmatrix}$, $\begin{bmatrix}157&92\\265&219\end{bmatrix}$, $\begin{bmatrix}307&186\\203&75\end{bmatrix}$
328.12.0.l.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}187&320\\267&215\end{bmatrix}$, $\begin{bmatrix}227&256\\58&125\end{bmatrix}$, $\begin{bmatrix}311&322\\253&291\end{bmatrix}$
328.12.0.m.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}13&74\\162&295\end{bmatrix}$, $\begin{bmatrix}225&26\\109&97\end{bmatrix}$, $\begin{bmatrix}257&120\\42&293\end{bmatrix}$, $\begin{bmatrix}303&270\\95&159\end{bmatrix}$
328.12.0.n.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}205&58\\222&45\end{bmatrix}$, $\begin{bmatrix}215&304\\10&177\end{bmatrix}$, $\begin{bmatrix}303&24\\209&305\end{bmatrix}$
328.12.0.o.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}283&166\\250&85\end{bmatrix}$, $\begin{bmatrix}323&128\\257&173\end{bmatrix}$, $\begin{bmatrix}323&274\\218&107\end{bmatrix}$
328.12.0.p.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}57&270\\136&159\end{bmatrix}$, $\begin{bmatrix}93&120\\42&129\end{bmatrix}$, $\begin{bmatrix}143&26\\68&97\end{bmatrix}$, $\begin{bmatrix}259&74\\203&295\end{bmatrix}$
328.12.0.q.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}199&120\\317&41\end{bmatrix}$, $\begin{bmatrix}243&68\\79&231\end{bmatrix}$, $\begin{bmatrix}263&126\\61&127\end{bmatrix}$
328.12.0.r.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}43&26\\290&91\end{bmatrix}$, $\begin{bmatrix}193&28\\63&139\end{bmatrix}$, $\begin{bmatrix}217&236\\236&255\end{bmatrix}$
328.12.0.s.1	4E0	$328$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}3&292\\30&127\end{bmatrix}$, $\begin{bmatrix}55&44\\99&203\end{bmatrix}$, $\begin{bmatrix}55&140\\142&13\end{bmatrix}$, $\begin{bmatrix}159&84\\116&313\end{bmatrix}$, $\begin{bmatrix}277&228\\302&31\end{bmatrix}$
328.12.0.t.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}15&78\\273&243\end{bmatrix}$, $\begin{bmatrix}149&8\\216&215\end{bmatrix}$, $\begin{bmatrix}271&48\\1&109\end{bmatrix}$
328.12.0.u.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}127&70\\1&245\end{bmatrix}$, $\begin{bmatrix}257&262\\302&43\end{bmatrix}$, $\begin{bmatrix}261&58\\283&161\end{bmatrix}$
328.12.0.v.1	4E0	$328$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}3&36\\297&221\end{bmatrix}$, $\begin{bmatrix}103&240\\290&185\end{bmatrix}$, $\begin{bmatrix}171&180\\47&79\end{bmatrix}$, $\begin{bmatrix}267&212\\157&137\end{bmatrix}$, $\begin{bmatrix}297&44\\200&305\end{bmatrix}$
328.12.0.w.1	4E0	$328$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}3&258\\246&209\end{bmatrix}$, $\begin{bmatrix}75&58\\93&275\end{bmatrix}$, $\begin{bmatrix}209&316\\61&95\end{bmatrix}$
328.12.0.x.1	4E0	$328$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}113&314\\319&35\end{bmatrix}$, $\begin{bmatrix}199&36\\217&201\end{bmatrix}$, $\begin{bmatrix}309&140\\223&209\end{bmatrix}$

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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.