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 166 matches)

Next Download displayed columns for results to

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
168.16.0-4.a.1.1	4D0	$168$	$16$	$0$	$2$	$2$	$0$	$?$	?	?		not computed	✓	$\begin{bmatrix}7&81\\11&40\end{bmatrix}$, $\begin{bmatrix}13&22\\6&151\end{bmatrix}$, $\begin{bmatrix}32&163\\29&35\end{bmatrix}$, $\begin{bmatrix}38&55\\9&157\end{bmatrix}$
168.16.0-6.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}33&49\\139&108\end{bmatrix}$, $\begin{bmatrix}45&62\\128&141\end{bmatrix}$, $\begin{bmatrix}64&75\\85&11\end{bmatrix}$, $\begin{bmatrix}117&5\\25&26\end{bmatrix}$, $\begin{bmatrix}144&139\\67&75\end{bmatrix}$
168.16.0-6.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}57&61\\47&64\end{bmatrix}$, $\begin{bmatrix}112&81\\81&145\end{bmatrix}$, $\begin{bmatrix}115&162\\4&65\end{bmatrix}$, $\begin{bmatrix}121&42\\156&43\end{bmatrix}$, $\begin{bmatrix}135&59\\109&116\end{bmatrix}$
168.16.0-6.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}11&96\\98&13\end{bmatrix}$, $\begin{bmatrix}60&79\\43&135\end{bmatrix}$, $\begin{bmatrix}81&94\\20&19\end{bmatrix}$, $\begin{bmatrix}83&13\\137&96\end{bmatrix}$, $\begin{bmatrix}86&115\\59&81\end{bmatrix}$
168.16.0-6.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}16&53\\79&69\end{bmatrix}$, $\begin{bmatrix}44&111\\71&43\end{bmatrix}$, $\begin{bmatrix}71&160\\14&69\end{bmatrix}$, $\begin{bmatrix}73&111\\141&28\end{bmatrix}$, $\begin{bmatrix}135&164\\4&11\end{bmatrix}$
168.16.0-6.a.1.5	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}29&148\\54&97\end{bmatrix}$, $\begin{bmatrix}65&30\\8&7\end{bmatrix}$, $\begin{bmatrix}106&41\\49&15\end{bmatrix}$, $\begin{bmatrix}157&35\\129&104\end{bmatrix}$, $\begin{bmatrix}158&127\\119&129\end{bmatrix}$
168.16.0-6.a.1.6	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}8&3\\77&139\end{bmatrix}$, $\begin{bmatrix}41&109\\131&132\end{bmatrix}$, $\begin{bmatrix}134&79\\57&139\end{bmatrix}$, $\begin{bmatrix}156&85\\49&69\end{bmatrix}$, $\begin{bmatrix}160&107\\109&159\end{bmatrix}$
168.16.0-7.a.1.1	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}23&27\\126&31\end{bmatrix}$, $\begin{bmatrix}74&85\\131&120\end{bmatrix}$, $\begin{bmatrix}79&3\\65&148\end{bmatrix}$, $\begin{bmatrix}89&108\\158&13\end{bmatrix}$, $\begin{bmatrix}117&133\\5&136\end{bmatrix}$
168.16.0-7.a.1.2	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}83&39\\31&82\end{bmatrix}$, $\begin{bmatrix}101&99\\159&28\end{bmatrix}$, $\begin{bmatrix}103&137\\159&146\end{bmatrix}$, $\begin{bmatrix}145&38\\83&29\end{bmatrix}$, $\begin{bmatrix}153&122\\19&141\end{bmatrix}$
168.16.0-7.a.1.3	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&55\\62&115\end{bmatrix}$, $\begin{bmatrix}69&122\\130&21\end{bmatrix}$, $\begin{bmatrix}71&114\\95&101\end{bmatrix}$, $\begin{bmatrix}72&91\\97&1\end{bmatrix}$, $\begin{bmatrix}78&7\\107&31\end{bmatrix}$
168.16.0-7.a.1.4	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&68\\98&129\end{bmatrix}$, $\begin{bmatrix}10&67\\77&76\end{bmatrix}$, $\begin{bmatrix}112&99\\153&19\end{bmatrix}$, $\begin{bmatrix}130&143\\161&155\end{bmatrix}$, $\begin{bmatrix}153&46\\139&15\end{bmatrix}$
168.16.0-7.a.1.5	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}26&59\\7&23\end{bmatrix}$, $\begin{bmatrix}31&159\\166&59\end{bmatrix}$, $\begin{bmatrix}57&82\\164&153\end{bmatrix}$, $\begin{bmatrix}84&103\\121&11\end{bmatrix}$, $\begin{bmatrix}101&76\\147&137\end{bmatrix}$
168.16.0-7.a.1.6	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}15&104\\98&9\end{bmatrix}$, $\begin{bmatrix}35&47\\62&85\end{bmatrix}$, $\begin{bmatrix}89&122\\133&9\end{bmatrix}$, $\begin{bmatrix}101&63\\73&160\end{bmatrix}$, $\begin{bmatrix}162&25\\131&163\end{bmatrix}$
168.16.0-7.a.1.7	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}7&148\\101&79\end{bmatrix}$, $\begin{bmatrix}15&76\\140&9\end{bmatrix}$, $\begin{bmatrix}46&77\\93&97\end{bmatrix}$, $\begin{bmatrix}81&146\\106&55\end{bmatrix}$, $\begin{bmatrix}113&73\\8&69\end{bmatrix}$
168.16.0-7.a.1.8	7B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}40&11\\17&158\end{bmatrix}$, $\begin{bmatrix}57&125\\140&37\end{bmatrix}$, $\begin{bmatrix}73&67\\110&123\end{bmatrix}$, $\begin{bmatrix}92&23\\65&22\end{bmatrix}$, $\begin{bmatrix}122&91\\97&79\end{bmatrix}$
168.16.0-12.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}33&76\\134&157\end{bmatrix}$, $\begin{bmatrix}85&141\\42&109\end{bmatrix}$, $\begin{bmatrix}94&131\\67&141\end{bmatrix}$, $\begin{bmatrix}107&136\\126&67\end{bmatrix}$, $\begin{bmatrix}160&105\\133&86\end{bmatrix}$
168.16.0-12.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}123&64\\16&135\end{bmatrix}$, $\begin{bmatrix}134&3\\143&34\end{bmatrix}$, $\begin{bmatrix}135&119\\22&59\end{bmatrix}$, $\begin{bmatrix}141&121\\35&124\end{bmatrix}$, $\begin{bmatrix}151&86\\39&155\end{bmatrix}$
168.16.0-12.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&106\\5&55\end{bmatrix}$, $\begin{bmatrix}50&153\\149&70\end{bmatrix}$, $\begin{bmatrix}92&3\\167&100\end{bmatrix}$, $\begin{bmatrix}136&51\\45&1\end{bmatrix}$, $\begin{bmatrix}158&51\\111&65\end{bmatrix}$
168.16.0-12.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&156\\108&109\end{bmatrix}$, $\begin{bmatrix}142&77\\145&15\end{bmatrix}$, $\begin{bmatrix}143&165\\156&29\end{bmatrix}$, $\begin{bmatrix}154&3\\43&128\end{bmatrix}$, $\begin{bmatrix}158&115\\155&126\end{bmatrix}$
168.16.0-12.a.1.5	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}17&157\\8&51\end{bmatrix}$, $\begin{bmatrix}28&65\\25&12\end{bmatrix}$, $\begin{bmatrix}50&133\\89&33\end{bmatrix}$, $\begin{bmatrix}55&126\\19&107\end{bmatrix}$, $\begin{bmatrix}107&130\\150&43\end{bmatrix}$
168.16.0-12.a.1.6	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}80&27\\95&58\end{bmatrix}$, $\begin{bmatrix}101&91\\113&36\end{bmatrix}$, $\begin{bmatrix}116&165\\149&106\end{bmatrix}$, $\begin{bmatrix}124&65\\103&141\end{bmatrix}$, $\begin{bmatrix}143&37\\129&154\end{bmatrix}$
168.16.0-24.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}40&107\\49&96\end{bmatrix}$, $\begin{bmatrix}59&22\\90&85\end{bmatrix}$, $\begin{bmatrix}97&48\\87&79\end{bmatrix}$, $\begin{bmatrix}114&37\\103&87\end{bmatrix}$
168.16.0-24.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&110\\111&161\end{bmatrix}$, $\begin{bmatrix}57&145\\133&120\end{bmatrix}$, $\begin{bmatrix}69&89\\134&33\end{bmatrix}$, $\begin{bmatrix}87&79\\77&34\end{bmatrix}$
168.16.0-24.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}19&129\\130&101\end{bmatrix}$, $\begin{bmatrix}75&46\\17&97\end{bmatrix}$, $\begin{bmatrix}114&161\\131&15\end{bmatrix}$, $\begin{bmatrix}165&4\\121&69\end{bmatrix}$
168.16.0-24.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}37&8\\118&111\end{bmatrix}$, $\begin{bmatrix}107&166\\35&45\end{bmatrix}$, $\begin{bmatrix}153&77\\98&159\end{bmatrix}$, $\begin{bmatrix}167&129\\29&154\end{bmatrix}$
168.16.0-24.a.1.5	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}40&143\\97&111\end{bmatrix}$, $\begin{bmatrix}51&38\\139&101\end{bmatrix}$, $\begin{bmatrix}132&17\\59&129\end{bmatrix}$, $\begin{bmatrix}157&98\\28&15\end{bmatrix}$
168.16.0-24.a.1.6	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}13&54\\37&71\end{bmatrix}$, $\begin{bmatrix}39&155\\148&101\end{bmatrix}$, $\begin{bmatrix}116&19\\113&0\end{bmatrix}$, $\begin{bmatrix}123&28\\19&51\end{bmatrix}$
168.16.0-24.a.1.7	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}109&38\\4&159\end{bmatrix}$, $\begin{bmatrix}113&135\\111&122\end{bmatrix}$, $\begin{bmatrix}143&64\\23&33\end{bmatrix}$, $\begin{bmatrix}150&31\\49&150\end{bmatrix}$
168.16.0-24.a.1.8	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}33&154\\133&153\end{bmatrix}$, $\begin{bmatrix}67&53\\54&137\end{bmatrix}$, $\begin{bmatrix}114&13\\73&147\end{bmatrix}$, $\begin{bmatrix}167&15\\12&5\end{bmatrix}$
168.16.0-42.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}4&125\\75&122\end{bmatrix}$, $\begin{bmatrix}31&38\\88&51\end{bmatrix}$, $\begin{bmatrix}111&44\\121&161\end{bmatrix}$, $\begin{bmatrix}124&41\\45&14\end{bmatrix}$
168.16.0-42.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}36&73\\131&112\end{bmatrix}$, $\begin{bmatrix}64&95\\27&77\end{bmatrix}$, $\begin{bmatrix}123&92\\136&101\end{bmatrix}$, $\begin{bmatrix}134&21\\87&65\end{bmatrix}$
168.16.0-42.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}3&101\\133&164\end{bmatrix}$, $\begin{bmatrix}21&16\\82&51\end{bmatrix}$, $\begin{bmatrix}120&145\\161&166\end{bmatrix}$, $\begin{bmatrix}133&51\\78&55\end{bmatrix}$
168.16.0-42.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}4&3\\51&52\end{bmatrix}$, $\begin{bmatrix}31&116\\31&153\end{bmatrix}$, $\begin{bmatrix}78&107\\49&146\end{bmatrix}$, $\begin{bmatrix}117&52\\133&9\end{bmatrix}$
168.16.0-42.a.1.5	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}13&96\\57&97\end{bmatrix}$, $\begin{bmatrix}27&4\\125&61\end{bmatrix}$, $\begin{bmatrix}51&46\\107&121\end{bmatrix}$, $\begin{bmatrix}139&75\\49&110\end{bmatrix}$
168.16.0-42.a.1.6	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}32&81\\125&1\end{bmatrix}$, $\begin{bmatrix}78&41\\35&135\end{bmatrix}$, $\begin{bmatrix}107&162\\128&31\end{bmatrix}$, $\begin{bmatrix}121&29\\100&147\end{bmatrix}$
168.16.0-42.a.1.7	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}113&42\\66&113\end{bmatrix}$, $\begin{bmatrix}141&98\\146&51\end{bmatrix}$, $\begin{bmatrix}151&69\\115&152\end{bmatrix}$, $\begin{bmatrix}166&71\\15&158\end{bmatrix}$
168.16.0-42.a.1.8	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}61&72\\30&115\end{bmatrix}$, $\begin{bmatrix}91&86\\51&125\end{bmatrix}$, $\begin{bmatrix}135&8\\128&93\end{bmatrix}$, $\begin{bmatrix}140&31\\59&120\end{bmatrix}$
168.16.0-84.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}91&36\\82&47\end{bmatrix}$, $\begin{bmatrix}94&35\\55&111\end{bmatrix}$, $\begin{bmatrix}106&39\\129&130\end{bmatrix}$, $\begin{bmatrix}109&98\\69&65\end{bmatrix}$
168.16.0-84.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}125&75\\146&139\end{bmatrix}$, $\begin{bmatrix}139&135\\54&79\end{bmatrix}$, $\begin{bmatrix}146&93\\51&26\end{bmatrix}$, $\begin{bmatrix}161&1\\141&76\end{bmatrix}$
168.16.0-84.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&131\\108&59\end{bmatrix}$, $\begin{bmatrix}53&133\\14&27\end{bmatrix}$, $\begin{bmatrix}113&115\\38&165\end{bmatrix}$, $\begin{bmatrix}142&143\\7&57\end{bmatrix}$
168.16.0-84.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}19&2\\85&51\end{bmatrix}$, $\begin{bmatrix}56&135\\11&163\end{bmatrix}$, $\begin{bmatrix}94&141\\99&142\end{bmatrix}$, $\begin{bmatrix}127&149\\1&6\end{bmatrix}$
168.16.0-84.a.1.5	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}36&71\\155&27\end{bmatrix}$, $\begin{bmatrix}121&161\\165&2\end{bmatrix}$, $\begin{bmatrix}127&153\\96&103\end{bmatrix}$, $\begin{bmatrix}167&133\\120&79\end{bmatrix}$
168.16.0-84.a.1.6	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}14&19\\153&13\end{bmatrix}$, $\begin{bmatrix}31&131\\147&8\end{bmatrix}$, $\begin{bmatrix}75&167\\82&113\end{bmatrix}$, $\begin{bmatrix}157&56\\52&51\end{bmatrix}$
168.16.0-84.a.1.7	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}31&152\\112&57\end{bmatrix}$, $\begin{bmatrix}33&53\\140&93\end{bmatrix}$, $\begin{bmatrix}91&11\\58&93\end{bmatrix}$, $\begin{bmatrix}104&141\\47&10\end{bmatrix}$
168.16.0-84.a.1.8	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}16&161\\105&44\end{bmatrix}$, $\begin{bmatrix}17&31\\45&16\end{bmatrix}$, $\begin{bmatrix}65&15\\101&130\end{bmatrix}$, $\begin{bmatrix}96&149\\41&87\end{bmatrix}$
168.16.0.a.1	12B0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?	✓	not computed		$\begin{bmatrix}0&163\\115&99\end{bmatrix}$, $\begin{bmatrix}45&35\\167&18\end{bmatrix}$, $\begin{bmatrix}64&113\\49&117\end{bmatrix}$, $\begin{bmatrix}119&16\\138&97\end{bmatrix}$, $\begin{bmatrix}161&118\\122&81\end{bmatrix}$
168.16.0-168.a.1.1	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&120\\46&125\end{bmatrix}$, $\begin{bmatrix}37&20\\63&71\end{bmatrix}$, $\begin{bmatrix}39&88\\29&115\end{bmatrix}$, $\begin{bmatrix}127&95\\40&135\end{bmatrix}$
168.16.0-168.a.1.2	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}25&77\\84&137\end{bmatrix}$, $\begin{bmatrix}45&29\\26&57\end{bmatrix}$, $\begin{bmatrix}79&137\\129&2\end{bmatrix}$, $\begin{bmatrix}115&141\\60&133\end{bmatrix}$
168.16.0-168.a.1.3	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}1&135\\109&56\end{bmatrix}$, $\begin{bmatrix}40&81\\27&55\end{bmatrix}$, $\begin{bmatrix}69&118\\19&135\end{bmatrix}$, $\begin{bmatrix}157&36\\115&131\end{bmatrix}$
168.16.0-168.a.1.4	6C0	$168$	$16$	$0$	$1$	$2$	$2$	$?$	?	?		not computed		$\begin{bmatrix}83&157\\45&94\end{bmatrix}$, $\begin{bmatrix}88&123\\75&58\end{bmatrix}$, $\begin{bmatrix}141&139\\101&52\end{bmatrix}$, $\begin{bmatrix}155&55\\81&34\end{bmatrix}$

Next Download displayed columns for results to

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 166 matches)

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