LMFDB - Modular curve search results

Refine search

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

		Sort order	Select

Results (1-50 of at least 1000)

Next To download results, determine the number of results.

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
220.2.0.a.1	2A0	$220$	$2$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}49&104\\203&87\end{bmatrix}$, $\begin{bmatrix}85&16\\186&47\end{bmatrix}$, $\begin{bmatrix}194&181\\51&62\end{bmatrix}$
220.4.0-2.a.1.1	2A0	$220$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}6&213\\29&169\end{bmatrix}$, $\begin{bmatrix}9&149\\215&142\end{bmatrix}$, $\begin{bmatrix}58&121\\97&163\end{bmatrix}$
220.4.0-4.a.1.1	2A0	$220$	$4$	$0$	$1$	$1$	$1$	$?$	?	?		not computed		$\begin{bmatrix}137&58\\105&73\end{bmatrix}$, $\begin{bmatrix}193&182\\28&101\end{bmatrix}$, $\begin{bmatrix}204&119\\35&104\end{bmatrix}$
220.6.0.a.1	2C0	$220$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}80&77\\163&2\end{bmatrix}$, $\begin{bmatrix}87&110\\34&137\end{bmatrix}$, $\begin{bmatrix}110&111\\153&198\end{bmatrix}$, $\begin{bmatrix}122&135\\163&144\end{bmatrix}$
220.6.0.b.1	4B0	$220$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}25&126\\102&199\end{bmatrix}$, $\begin{bmatrix}70&219\\89&10\end{bmatrix}$, $\begin{bmatrix}148&189\\159&170\end{bmatrix}$, $\begin{bmatrix}194&151\\103&118\end{bmatrix}$
220.6.0.c.1	4B0	$220$	$6$	$0$	$1$	$3$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}36&97\\115&102\end{bmatrix}$, $\begin{bmatrix}59&46\\210&63\end{bmatrix}$, $\begin{bmatrix}165&56\\78&95\end{bmatrix}$, $\begin{bmatrix}194&97\\161&172\end{bmatrix}$
220.6.0.d.1	4C0	$220$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}13&166\\92&17\end{bmatrix}$, $\begin{bmatrix}71&182\\120&181\end{bmatrix}$, $\begin{bmatrix}129&52\\26&75\end{bmatrix}$, $\begin{bmatrix}170&139\\33&80\end{bmatrix}$
220.6.0.e.1	4C0	$220$	$6$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}74&201\\165&78\end{bmatrix}$, $\begin{bmatrix}90&109\\141&92\end{bmatrix}$, $\begin{bmatrix}92&13\\183&46\end{bmatrix}$, $\begin{bmatrix}122&153\\37&126\end{bmatrix}$
220.8.0.a.1	4D0	$220$	$8$	$0$	$1 \le \gamma \le 2$	$2$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}162&211\\205&69\end{bmatrix}$, $\begin{bmatrix}208&207\\85&131\end{bmatrix}$, $\begin{bmatrix}209&162\\211&99\end{bmatrix}$
220.8.0.b.1	4D0	$220$	$8$	$0$	$2$	$2$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}101&33\\122&19\end{bmatrix}$, $\begin{bmatrix}118&23\\85&38\end{bmatrix}$, $\begin{bmatrix}194&15\\97&209\end{bmatrix}$
220.10.0.a.1	10A0	$220$	$10$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}37&156\\24&143\end{bmatrix}$, $\begin{bmatrix}111&188\\27&79\end{bmatrix}$, $\begin{bmatrix}176&31\\97&18\end{bmatrix}$
220.10.0.b.1	10A0	$220$	$10$	$0$	$1$	$1$	$1$	$?$	?	?	✓	not computed		$\begin{bmatrix}18&167\\193&158\end{bmatrix}$, $\begin{bmatrix}40&179\\183&75\end{bmatrix}$, $\begin{bmatrix}199&91\\88&123\end{bmatrix}$
220.12.0-2.a.1.1	2C0	$220$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}29&60\\162&41\end{bmatrix}$, $\begin{bmatrix}109&192\\62&195\end{bmatrix}$, $\begin{bmatrix}125&42\\4&105\end{bmatrix}$, $\begin{bmatrix}139&100\\170&21\end{bmatrix}$, $\begin{bmatrix}191&42\\120&211\end{bmatrix}$
220.12.0-2.a.1.2	2C0	$220$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}25&46\\202&45\end{bmatrix}$, $\begin{bmatrix}57&180\\82&167\end{bmatrix}$, $\begin{bmatrix}83&174\\122&109\end{bmatrix}$, $\begin{bmatrix}169&210\\80&57\end{bmatrix}$, $\begin{bmatrix}171&32\\142&15\end{bmatrix}$
220.12.0-4.a.1.1	2C0	$220$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}10&103\\187&192\end{bmatrix}$, $\begin{bmatrix}29&218\\104&1\end{bmatrix}$, $\begin{bmatrix}92&91\\75&194\end{bmatrix}$, $\begin{bmatrix}134&85\\217&178\end{bmatrix}$
220.12.0-4.a.1.2	2C0	$220$	$12$	$0$	$1$	$3$	$1$	$?$	?	?		not computed		$\begin{bmatrix}70&123\\43&186\end{bmatrix}$, $\begin{bmatrix}125&84\\6&117\end{bmatrix}$, $\begin{bmatrix}134&209\\141&202\end{bmatrix}$, $\begin{bmatrix}178&181\\113&30\end{bmatrix}$
220.12.0.a.1	4E0	$220$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}7&86\\196&105\end{bmatrix}$, $\begin{bmatrix}29&154\\40&73\end{bmatrix}$, $\begin{bmatrix}67&52\\6&205\end{bmatrix}$, $\begin{bmatrix}91&92\\164&139\end{bmatrix}$, $\begin{bmatrix}93&122\\10&197\end{bmatrix}$
220.12.0.b.1	4E0	$220$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}3&176\\142&65\end{bmatrix}$, $\begin{bmatrix}49&206\\8&133\end{bmatrix}$, $\begin{bmatrix}63&40\\92&217\end{bmatrix}$, $\begin{bmatrix}111&98\\172&187\end{bmatrix}$, $\begin{bmatrix}139&50\\68&137\end{bmatrix}$
220.12.0-4.c.1.1	4B0	$220$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}28&133\\21&184\end{bmatrix}$, $\begin{bmatrix}84&151\\145&6\end{bmatrix}$, $\begin{bmatrix}97&8\\124&137\end{bmatrix}$, $\begin{bmatrix}150&53\\89&30\end{bmatrix}$
220.12.0-4.c.1.2	4B0	$220$	$12$	$0$	$1$	$3$	$3$	$?$	?	?		not computed		$\begin{bmatrix}122&153\\215&32\end{bmatrix}$, $\begin{bmatrix}145&186\\114&113\end{bmatrix}$, $\begin{bmatrix}173&160\\130&143\end{bmatrix}$, $\begin{bmatrix}190&59\\53&92\end{bmatrix}$
220.12.0.c.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}13&176\\27&175\end{bmatrix}$, $\begin{bmatrix}69&118\\113&93\end{bmatrix}$, $\begin{bmatrix}139&170\\137&31\end{bmatrix}$, $\begin{bmatrix}173&66\\39&157\end{bmatrix}$
220.12.0.d.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}93&4\\120&21\end{bmatrix}$, $\begin{bmatrix}93&60\\5&3\end{bmatrix}$, $\begin{bmatrix}155&78\\41&155\end{bmatrix}$, $\begin{bmatrix}185&186\\198&213\end{bmatrix}$
220.12.0.e.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}17&112\\211&89\end{bmatrix}$, $\begin{bmatrix}21&82\\204&187\end{bmatrix}$, $\begin{bmatrix}63&174\\212&77\end{bmatrix}$
220.12.0.f.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}9&8\\65&13\end{bmatrix}$, $\begin{bmatrix}73&156\\116&101\end{bmatrix}$, $\begin{bmatrix}137&18\\19&69\end{bmatrix}$
220.12.0.g.1	4E0	$220$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}27&156\\54&3\end{bmatrix}$, $\begin{bmatrix}59&156\\22&37\end{bmatrix}$, $\begin{bmatrix}121&216\\168&59\end{bmatrix}$, $\begin{bmatrix}127&52\\59&213\end{bmatrix}$
220.12.0.h.1	4E0	$220$	$12$	$0$	$1$	$4$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}47&124\\45&129\end{bmatrix}$, $\begin{bmatrix}123&96\\74&99\end{bmatrix}$, $\begin{bmatrix}133&16\\79&127\end{bmatrix}$, $\begin{bmatrix}147&204\\38&137\end{bmatrix}$
220.12.0.i.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}71&78\\162&35\end{bmatrix}$, $\begin{bmatrix}137&206\\91&207\end{bmatrix}$, $\begin{bmatrix}153&136\\67&55\end{bmatrix}$
220.12.0.j.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}75&28\\121&133\end{bmatrix}$, $\begin{bmatrix}167&74\\171&171\end{bmatrix}$, $\begin{bmatrix}203&140\\32&173\end{bmatrix}$
220.12.0.k.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}155&206\\188&89\end{bmatrix}$, $\begin{bmatrix}173&156\\65&81\end{bmatrix}$, $\begin{bmatrix}213&16\\93&99\end{bmatrix}$
220.12.0.l.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}41&2\\43&77\end{bmatrix}$, $\begin{bmatrix}101&40\\3&111\end{bmatrix}$, $\begin{bmatrix}141&88\\116&15\end{bmatrix}$
220.12.0.m.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}33&204\\85&99\end{bmatrix}$, $\begin{bmatrix}79&186\\67&185\end{bmatrix}$, $\begin{bmatrix}211&96\\203&47\end{bmatrix}$
220.12.0.n.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}127&156\\191&169\end{bmatrix}$, $\begin{bmatrix}181&58\\137&163\end{bmatrix}$, $\begin{bmatrix}185&112\\86&151\end{bmatrix}$
220.12.0.o.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}9&136\\103&53\end{bmatrix}$, $\begin{bmatrix}87&126\\39&193\end{bmatrix}$, $\begin{bmatrix}207&118\\106&173\end{bmatrix}$
220.12.0.p.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}31&0\\210&101\end{bmatrix}$, $\begin{bmatrix}119&18\\80&13\end{bmatrix}$, $\begin{bmatrix}173&60\\89&73\end{bmatrix}$
220.12.0.q.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}19&178\\200&131\end{bmatrix}$, $\begin{bmatrix}141&12\\163&179\end{bmatrix}$, $\begin{bmatrix}147&96\\154&125\end{bmatrix}$
220.12.0.r.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}51&46\\0&161\end{bmatrix}$, $\begin{bmatrix}105&214\\197&107\end{bmatrix}$, $\begin{bmatrix}145&56\\56&95\end{bmatrix}$
220.12.0.s.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}9&26\\147&15\end{bmatrix}$, $\begin{bmatrix}23&28\\129&21\end{bmatrix}$, $\begin{bmatrix}185&36\\12&119\end{bmatrix}$
220.12.0.t.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}75&158\\213&75\end{bmatrix}$, $\begin{bmatrix}117&46\\3&23\end{bmatrix}$, $\begin{bmatrix}193&132\\133&81\end{bmatrix}$
220.12.0.u.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}85&108\\136&67\end{bmatrix}$, $\begin{bmatrix}101&210\\183&107\end{bmatrix}$, $\begin{bmatrix}193&196\\73&113\end{bmatrix}$
220.12.0.v.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}65&42\\32&115\end{bmatrix}$, $\begin{bmatrix}139&140\\159&171\end{bmatrix}$, $\begin{bmatrix}143&190\\149&21\end{bmatrix}$
220.12.0.w.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}19&8\\101&161\end{bmatrix}$, $\begin{bmatrix}25&58\\69&195\end{bmatrix}$, $\begin{bmatrix}55&214\\48&159\end{bmatrix}$
220.12.0.x.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}1&88\\183&155\end{bmatrix}$, $\begin{bmatrix}119&170\\209&213\end{bmatrix}$, $\begin{bmatrix}173&202\\163&81\end{bmatrix}$
220.12.0.y.1	5D0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}55&48\\113&175\end{bmatrix}$, $\begin{bmatrix}69&136\\118&111\end{bmatrix}$, $\begin{bmatrix}97&33\\120&19\end{bmatrix}$, $\begin{bmatrix}217&75\\196&3\end{bmatrix}$
220.12.0.y.2	5D0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}50&197\\51&164\end{bmatrix}$, $\begin{bmatrix}152&179\\147&205\end{bmatrix}$, $\begin{bmatrix}179&102\\18&65\end{bmatrix}$, $\begin{bmatrix}197&104\\206&189\end{bmatrix}$
220.12.0.z.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}9&74\\109&43\end{bmatrix}$, $\begin{bmatrix}99&150\\34&187\end{bmatrix}$, $\begin{bmatrix}137&170\\0&119\end{bmatrix}$
220.12.0.ba.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}119&122\\97&87\end{bmatrix}$, $\begin{bmatrix}157&58\\38&111\end{bmatrix}$, $\begin{bmatrix}189&68\\164&19\end{bmatrix}$
220.12.0.bb.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}73&62\\150&147\end{bmatrix}$, $\begin{bmatrix}135&214\\162&139\end{bmatrix}$, $\begin{bmatrix}163&94\\187&35\end{bmatrix}$
220.12.0.bc.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}79&102\\184&99\end{bmatrix}$, $\begin{bmatrix}81&20\\4&127\end{bmatrix}$, $\begin{bmatrix}151&70\\87&143\end{bmatrix}$
220.12.0.bd.1	4E0	$220$	$12$	$0$	$1 \le \gamma \le 2$	$4$	$0$	$?$	?	?	✓	not computed	?	$\begin{bmatrix}7&70\\145&127\end{bmatrix}$, $\begin{bmatrix}63&44\\217&157\end{bmatrix}$, $\begin{bmatrix}167&140\\131&31\end{bmatrix}$
220.12.0.be.1	4E0	$220$	$12$	$0$	$2$	$4$	$0$	$?$	?	?	✓	not computed	✓	$\begin{bmatrix}39&162\\153&15\end{bmatrix}$, $\begin{bmatrix}81&152\\2&195\end{bmatrix}$, $\begin{bmatrix}161&36\\83&95\end{bmatrix}$

Next To download results, determine the number of results.

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi
Siegel

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Modular curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Galois groups
Sato-Tate groups
Abstract groups
Lattices

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Motives

Groups

Database

Refine search

Results (1-50 of at least 1000)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.