Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $288$ | ||
| Index: | $192$ | $\PSL_2$-index: | $96$ | ||||
| Genus: | $3 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$ | ||||||
| Cusps: | $12$ (of which $4$ are rational) | Cusp widths | $1^{2}\cdot2^{3}\cdot3^{2}\cdot6^{3}\cdot16\cdot48$ | Cusp orbits | $1^{4}\cdot2^{4}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2 \le \gamma \le 3$ | ||||||
| $\overline{\Q}$-gonality: | $2 \le \gamma \le 3$ | ||||||
| Rational cusps: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 48L3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.5102 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}11&6\\12&29\end{bmatrix}$, $\begin{bmatrix}17&30\\36&35\end{bmatrix}$, $\begin{bmatrix}17&40\\36&7\end{bmatrix}$, $\begin{bmatrix}17&47\\0&35\end{bmatrix}$, $\begin{bmatrix}19&21\\36&11\end{bmatrix}$, $\begin{bmatrix}43&13\\24&1\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 48.96.3.qc.2 for the level structure with $-I$) |
| Cyclic 48-isogeny field degree: | $2$ |
| Cyclic 48-torsion field degree: | $16$ |
| Full 48-torsion field degree: | $6144$ |
Jacobian
| Conductor: | $2^{13}\cdot3^{5}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 288.2.d.b |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ 6 x^{4} - 8 x^{3} y - 4 x^{3} z - 3 x^{2} y^{2} - 6 x^{2} y z + 6 x^{2} z^{2} + 2 x y^{3} + \cdots + 2 y z^{3} $ |
Rational points
This modular curve has 4 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Canonical model |
|---|
| $(0:1:1)$, $(0:0:1)$, $(0:1:0)$, $(0:2:1)$ |
Maps to other modular curves
$j$-invariant map of degree 96 from the canonical model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -\frac{1}{3^{16}}\cdot\frac{15763811790185028087080x^{3}y^{21}+40289954875314375800316x^{3}y^{20}z-1087092957571988055668112x^{3}y^{19}z^{2}-3975672898282527482257664x^{3}y^{18}z^{3}+23241633866774462509797888x^{3}y^{17}z^{4}+124456616746389249935113872x^{3}y^{16}z^{5}-78533525664538029402258432x^{3}y^{15}z^{6}-1363432056106434895922376960x^{3}y^{14}z^{7}-1985937738561751458380933376x^{3}y^{13}z^{8}+2466730725555780445599842432x^{3}y^{12}z^{9}+7585421120036092299250592256x^{3}y^{11}z^{10}+781724876495162659444405248x^{3}y^{10}z^{11}-10417453965300679575412858880x^{3}y^{9}z^{12}-5285482328513827377131438592x^{3}y^{8}z^{13}+6465536076583732471255203840x^{3}y^{7}z^{14}+4601647265090005319776112640x^{3}y^{6}z^{15}-1779965551217686001877891072x^{3}y^{5}z^{16}-1485140962596740402802177024x^{3}y^{4}z^{17}+194362573440043505140674560x^{3}y^{3}z^{18}+166864461985649230781104128x^{3}y^{2}z^{19}-5511404020652140085575680x^{3}yz^{20}-3242690663525526183194624x^{3}z^{21}+2911949249982925343883x^{2}y^{22}+23222094498932119563642x^{2}y^{21}z-193687050977388405757878x^{2}y^{20}z^{2}-1838978450094253374630192x^{2}y^{19}z^{3}+2572396453548090278907540x^{2}y^{18}z^{4}+50075136706446330746993496x^{2}y^{17}z^{5}+57317748481960178210108856x^{2}y^{16}z^{6}-484419049086583405121109120x^{2}y^{15}z^{7}-1344166939439674102093017312x^{2}y^{14}z^{8}+424972050877856587307939520x^{2}y^{13}z^{9}+4872838521463105385028981696x^{2}y^{12}z^{10}+2560333003844771710743195648x^{2}y^{11}z^{11}-7466530432761395614434783360x^{2}y^{10}z^{12}-6550694962059893635756026624x^{2}y^{9}z^{13}+5792859085677295089025873152x^{2}y^{8}z^{14}+6342914446827272402515052544x^{2}y^{7}z^{15}-2359624460167151942465657088x^{2}y^{6}z^{16}-2863823412821622869134683648x^{2}y^{5}z^{17}+485130137512334610161988096x^{2}y^{4}z^{18}+557405044818808028868096000x^{2}y^{3}z^{19}-42831509028593270494092288x^{2}y^{2}z^{20}-32930361778404710422382592x^{2}yz^{21}+672658560812577517541376x^{2}z^{22}-3461400920331491787458xy^{23}+4199836600196268545686xy^{22}z+257585237000338154369056xy^{21}z^{2}-35728076458062581638468xy^{20}z^{3}-7423214377393147536314008xy^{19}z^{4}-6281813218045002714007912xy^{18}z^{5}+98255817957620517731798880xy^{17}z^{6}+164186016887192632247026416xy^{16}z^{7}-550260277136522625058104768xy^{15}z^{8}-1330846980954895325174966720xy^{14}z^{9}+1086688194746379475821412864xy^{13}z^{10}+4282021108298507190592617088xy^{12}z^{11}-352906516382351585939623168xy^{11}z^{12}-6914750130754165096700960512xy^{10}z^{13}-1450921772849135668409979904xy^{9}z^{14}+6078873953091592534779382272xy^{8}z^{15}+2009523559167894299304629760xy^{7}z^{16}-2882808389151355068627534336xy^{6}z^{17}-1034961158317268734623580160xy^{5}z^{18}+669628168988890203101891584xy^{4}z^{19}+214953929387477653280032768xy^{3}z^{20}-60691293486451583869437952xy^{2}z^{21}-13445751597182017083449344xyz^{22}+943954168800060450811904xz^{23}+1880739938304y^{24}-1730700505303504413025y^{23}z+2669956834884275884337y^{22}z^{2}+123825597511475879217678y^{21}z^{3}-57786172481810280954302y^{20}z^{4}-3409691341552082562117092y^{19}z^{5}-1751534900122013254885068y^{18}z^{6}+42676001806004040713004600y^{17}z^{7}+53824252616736966335198040y^{16}z^{8}-227151665810916668769444192y^{15}z^{9}-380046261903856711277563552y^{14}z^{10}+579591587751966105985325888y^{13}z^{11}+1143881376176075223485733312y^{12}z^{12}-812588060871925879101950336y^{11}z^{13}-1778569870126299011829015680y^{10}z^{14}+686954552843128394114014464y^{9}z^{15}+1498906314797255764435750656y^{8}z^{16}-368240010599711890808413440y^{7}z^{17}-654183761632493885337588480y^{6}z^{18}+117672738183618602182604288y^{5}z^{19}+126187097955573287741860352y^{4}z^{20}-17046997461292536247538688y^{3}z^{21}-7245023246085079247756288y^{2}z^{22}+471977083885882944772096yz^{23}+21422803359744z^{24}}{(y-z)(1227142173252x^{3}y^{20}+28539193105392x^{3}y^{19}z+273341770618206x^{3}y^{18}z^{2}+1362068781703668x^{3}y^{17}z^{3}+3549698050755780x^{3}y^{16}z^{4}+3435490342650096x^{3}y^{15}z^{5}-4348496476216080x^{3}y^{14}z^{6}-11785788004899600x^{3}y^{13}z^{7}-993458556570960x^{3}y^{12}z^{8}+13917306244008576x^{3}y^{11}z^{9}+3653406746511360x^{3}y^{10}z^{10}-9564179928039744x^{3}y^{9}z^{11}-1510825738957632x^{3}y^{8}z^{12}+3890066451174144x^{3}y^{7}z^{13}-148932144403200x^{3}y^{6}z^{14}-747060725005056x^{3}y^{5}z^{15}+146497871132928x^{3}y^{4}z^{16}+40065280266240x^{3}y^{3}z^{17}-12527678068224x^{3}y^{2}z^{18}+341768896512x^{3}yz^{19}+72805638144x^{3}z^{20}+226682213624x^{2}y^{21}+6500234728718x^{2}y^{20}z+76475547452896x^{2}y^{19}z^{2}+470435757167425x^{2}y^{18}z^{3}+1551283407397500x^{2}y^{17}z^{4}+2186905559779254x^{2}y^{16}z^{5}-1438656374831196x^{2}y^{15}z^{6}-7934214247640700x^{2}y^{14}z^{7}-3588081566558016x^{2}y^{13}z^{8}+11033733652142264x^{2}y^{12}z^{9}+7360254447408272x^{2}y^{11}z^{10}-9795364626662672x^{2}y^{10}z^{11}-5013698468351168x^{2}y^{9}z^{12}+5867204064711456x^{2}y^{8}z^{13}+1046025372700608x^{2}y^{7}z^{14}-1906176953716800x^{2}y^{6}z^{15}+172895900706816x^{2}y^{5}z^{16}+228531321952896x^{2}y^{4}z^{17}-56192851808512x^{2}y^{3}z^{18}-2936134282240x^{2}y^{2}z^{19}+1667842699264x^{2}yz^{20}-79398207488x^{2}z^{21}-269454565472xy^{22}-5250981243568xy^{21}z-37525959931680xy^{20}z^{2}-96860623445600xy^{19}z^{3}+140069989567808xy^{18}z^{4}+1267718617234404xy^{17}z^{5}+1777293319636836xy^{16}z^{6}-2319463535253696xy^{15}z^{7}-6590956560337656xy^{14}z^{8}+1165934128631632xy^{13}z^{9}+9969909583221200xy^{12}z^{10}-96438039680448xy^{11}z^{11}-8375325421166240xy^{10}z^{12}+657118166199488xy^{9}z^{13}+3921759193666752xy^{8}z^{14}-833989630846464xy^{7}z^{15}-878198493073536xy^{6}z^{16}+306251330464512xy^{5}z^{17}+60543350137600xy^{4}z^{18}-34550639991808xy^{3}z^{19}+1624612170240xy^{2}z^{20}+656898899968xyz^{21}-49850294272xz^{22}-134727282736y^{22}z-2581115713138y^{21}z^{2}-18231044810942y^{20}z^{3}-48945518026103y^{19}z^{4}+33579734582589y^{18}z^{5}+421931075931120y^{17}z^{6}+456316795193838y^{16}z^{7}-1014972515602584y^{15}z^{8}-1665358810915188y^{14}z^{9}+1446501353289536y^{13}z^{10}+2387748340084664y^{12}z^{11}-1673038181910272y^{11}z^{12}-1576051236504080y^{10}z^{13}+1310690995474944y^{9}z^{14}+331548469690272y^{8}z^{15}-482839110646656y^{7}z^{16}+55349142195264y^{6}z^{17}+54384750686208y^{5}z^{18}-16359451201408y^{4}z^{19}+118987769600y^{3}z^{20}+366992862208y^{2}z^{21}-24925147136yz^{22})}$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 24.96.1-24.ir.1.9 | $24$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 48.48.0-48.f.2.1 | $48$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 48.96.1-24.ir.1.17 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 48.384.5-48.kc.3.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kc.4.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kg.1.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kg.2.1 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kk.3.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kk.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.ko.1.2 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.ko.2.3 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-48.ci.1.33 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.co.1.19 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.db.1.25 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.dd.1.21 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.eb.1.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.eg.1.21 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ek.2.25 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.el.1.25 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.fb.1.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fb.2.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fc.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fc.2.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fj.3.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fj.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fk.3.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fk.4.11 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fx.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fx.2.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gb.3.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gb.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gf.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gf.2.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gj.3.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gj.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gt.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gu.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hb.1.3 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hc.2.6 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hr.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hs.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hz.1.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ia.2.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bav.1.19 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.baw.2.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbd.1.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbe.1.10 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfl.1.19 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfm.2.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bft.1.3 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfu.1.10 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bhl.3.10 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhl.4.10 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhm.3.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhm.4.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bht.1.6 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bht.2.6 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhu.1.5 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhu.2.5 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.576.13-48.by.2.9 | $48$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2^{3}$ |
| 240.384.5-240.clq.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clq.4.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clu.3.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clu.4.1 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cly.3.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cly.4.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cmc.1.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cmc.2.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-240.sd.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.sh.2.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.sn.2.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.sr.1.21 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.th.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tl.1.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tr.2.41 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tv.1.41 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vb.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vb.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vc.3.17 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vc.4.17 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vr.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vr.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vs.1.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vs.2.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wv.1.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wv.2.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wz.3.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wz.4.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xd.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xd.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xh.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xh.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yl.2.2 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ym.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zb.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zc.2.2 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bah.2.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bai.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bax.2.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bay.2.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.ftl.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftm.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fub.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fuc.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvh.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvi.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvx.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvy.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdp.3.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdp.4.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdq.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdq.2.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gef.3.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gef.4.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.geg.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.geg.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |