Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $72$ | ||
| 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 | $1^{2}\cdot2\cdot3^{2}\cdot4\cdot6\cdot8^{2}\cdot12\cdot24^{2}$ | 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: | 24Y3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.6488 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}1&14\\0&5\end{bmatrix}$, $\begin{bmatrix}7&18\\36&29\end{bmatrix}$, $\begin{bmatrix}11&8\\0&7\end{bmatrix}$, $\begin{bmatrix}11&10\\36&17\end{bmatrix}$, $\begin{bmatrix}23&24\\0&11\end{bmatrix}$, $\begin{bmatrix}29&39\\36&29\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.96.3.gh.1 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: | $2^{9}\cdot3^{5}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 72.2.d.b |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ x^{3} y - 2 x^{3} z + 3 x^{2} y z - x y^{3} - 3 x y z^{2} + 2 x z^{3} + 3 y^{4} - 2 y^{3} z + \cdots - 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 |
|---|
| $(0:0:1)$, $(1:0:1)$, $(1:0:0)$, $(-1:0:1)$ |
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}\cdot\frac{x^{24}-24x^{23}z+384x^{22}z^{2}-5048x^{21}z^{3}+53178x^{20}z^{4}-457224x^{19}z^{5}+3023920x^{18}z^{6}-9749880x^{17}z^{7}-118656585x^{16}z^{8}+3171176080x^{15}z^{9}-48290330112x^{14}z^{10}+611997686736x^{13}z^{11}-7077514021652x^{12}z^{12}+77686202793840x^{11}z^{13}-826531107268128x^{10}z^{14}+8630628809798608x^{9}z^{15}-89142402234337425x^{8}z^{16}+915301884125272968x^{7}z^{17}-9373505793042871808x^{6}z^{18}+95946083949851000040x^{5}z^{19}-982989251487723773478x^{4}z^{20}+10089330052372293665944x^{3}z^{21}-6866222972x^{2}y^{22}-50769681656x^{2}y^{21}z-221161646541x^{2}y^{20}z^{2}-629504969018x^{2}y^{19}z^{3}-489862037531x^{2}y^{18}z^{4}+7422776001072x^{2}y^{17}z^{5}+61476613051116x^{2}y^{16}z^{6}+320281403298384x^{2}y^{15}z^{7}+1321283492178786x^{2}y^{14}z^{8}+4496983492007300x^{2}y^{13}z^{9}+12076027938003740x^{2}y^{12}z^{10}+19038325017783648x^{2}y^{11}z^{11}-42525872286188380x^{2}y^{10}z^{12}-581024002186601848x^{2}y^{9}z^{13}-3519823687618617504x^{2}y^{8}z^{14}-16889095548315495888x^{2}y^{7}z^{15}-69581802965796653820x^{2}y^{6}z^{16}-255968463777855289056x^{2}y^{5}z^{17}-886458689970584977808x^{2}y^{4}z^{18}-2361473676049215403808x^{2}y^{3}z^{19}-5769548225977671083856x^{2}y^{2}z^{20}-16379110146216007289792x^{2}yz^{21}+992452733340028204336x^{2}z^{22}+11478532247xy^{23}+78893666753xy^{22}z+323731493355xy^{21}z^{2}+841013444384xy^{20}z^{3}+162773070374xy^{19}z^{4}-13247994674916xy^{18}z^{5}-97274575164738xy^{17}z^{6}-481382392608120xy^{16}z^{7}-1909200984206922xy^{15}z^{8}-6225385099226030xy^{14}z^{9}-15583868566376270xy^{13}z^{10}-18556877191773612xy^{12}z^{11}+96174358257606664xy^{11}z^{12}+956223242725399480xy^{10}z^{13}+5419869869021512212xy^{9}z^{14}+24844179937156305756xy^{8}z^{15}+100901201669262301308xy^{7}z^{16}+362005173480032382744xy^{6}z^{17}+1157322077087427562232xy^{5}z^{18}+3501983107030428562256xy^{4}z^{19}+5970162276837159841920xy^{3}z^{20}+5377322543266404989024xy^{2}z^{21}+11286010072647786159296xyz^{22}-10186200147136441158744xz^{23}-12322285710y^{24}-91838245505y^{23}z-404245376955y^{22}z^{2}-1166793391615y^{21}z^{3}-994169817641y^{20}z^{4}+13182784386348y^{19}z^{5}+111374345119583y^{18}z^{6}+584584549118850y^{17}z^{7}+2423733194992941y^{16}z^{8}+8288639363680590y^{15}z^{9}+22416062477274068y^{14}z^{10}+36067641902919378y^{13}z^{11}-73440821112190862y^{12}z^{12}-1048145927010849424y^{11}z^{13}-6446060396355926460y^{10}z^{14}-30772529631917981900y^{9}z^{15}-127140586918004585949y^{8}z^{16}-481789911216126565620y^{7}z^{17}-1548431608612721055444y^{6}z^{18}-4556392170840182873816y^{5}z^{19}-13380568604833879564416y^{4}z^{20}+5533972057688957701280y^{3}z^{21}-13530768330011230942928y^{2}z^{22}+5093100073568220570624yz^{23}+729z^{24}}{3x^{20}z^{4}-96x^{19}z^{5}+1920x^{18}z^{6}-30744x^{17}z^{7}+434250x^{16}z^{8}-5681088x^{15}z^{9}+70765344x^{14}z^{10}-853362360x^{13}z^{11}+10067529195x^{12}z^{12}-116991656160x^{11}z^{13}+1345285896960x^{10}z^{14}-15355389376896x^{9}z^{15}+174357921282768x^{8}z^{16}-1972556708585184x^{7}z^{17}+22259111067144576x^{6}z^{18}-250742825837924544x^{5}z^{19}+2821305966837769008x^{4}z^{20}-31722278745305962080x^{3}z^{21}+1585576x^{2}y^{22}+18898988x^{2}y^{21}z+172901389x^{2}y^{20}z^{2}+1257638514x^{2}y^{19}z^{3}+7986673278x^{2}y^{18}z^{4}+45635705610x^{2}y^{17}z^{5}+240265841271x^{2}y^{16}z^{6}+1182883431810x^{2}y^{15}z^{7}+5504773762338x^{2}y^{14}z^{8}+24407436401066x^{2}y^{13}z^{9}+103718843198173x^{2}y^{12}z^{10}+424222112068982x^{2}y^{11}z^{11}+1675583158474563x^{2}y^{10}z^{12}+6400262296542840x^{2}y^{9}z^{13}+23635953693980583x^{2}y^{8}z^{14}+84524542145714382x^{2}y^{7}z^{15}+289710598338898752x^{2}y^{6}z^{16}+945599679499573482x^{2}y^{5}z^{17}+2987947789277677822x^{2}y^{4}z^{18}+7804699634472782612x^{2}y^{3}z^{19}+18666439099871660734x^{2}y^{2}z^{20}+51083601573974620752x^{2}yz^{21}-2843740791250824024x^{2}z^{22}-2650631xy^{23}-30213737xy^{22}z-272176135xy^{21}z^{2}-1945664584xy^{20}z^{3}-12194102820xy^{19}z^{4}-68842881072xy^{18}z^{5}-358584465636xy^{17}z^{6}-1748117560926xy^{16}z^{7}-8061618591996xy^{15}z^{8}-35440345748824xy^{14}z^{9}-149391214868194xy^{13}z^{10}-606372550262744xy^{12}z^{11}-2376359107624523xy^{11}z^{12}-9009780483341325xy^{10}z^{13}-33030847340572485xy^{9}z^{14}-116755657192550736xy^{8}z^{15}-398243133141066867xy^{7}z^{16}-1282823981125974213xy^{6}z^{17}-3843793668124512821xy^{5}z^{18}-11054760522502273892xy^{4}z^{19}-19246417158334255234xy^{3}z^{20}-16861592809009832368xy^{2}z^{21}-35096096773428331176xyz^{22}+31975009601092579152xz^{23}+2845455y^{24}+34084169y^{23}z+312751291y^{22}z^{2}+2280465155y^{21}z^{3}+14511422802y^{20}z^{4}+83057987706y^{19}z^{5}+437917008078y^{18}z^{6}+2158592349990y^{17}z^{7}+10056061539861y^{16}z^{8}+44627800710498y^{15}z^{9}+189783183172120y^{14}z^{10}+776868474118076y^{13}z^{11}+3070039367900263y^{12}z^{12}+11729330978437119y^{11}z^{13}+43402437736507752y^{10}z^{14}+154902554225310741y^{9}z^{15}+531231706863868521y^{8}z^{16}+1761523670264232147y^{7}z^{17}+5301233287663687047y^{6}z^{18}+14908609698776623007y^{5}z^{19}+41942357170518754939y^{4}z^{20}-16839068718925142962y^{3}z^{21}+42240240785346305958y^{2}z^{22}-15987504800546289576yz^{23}}$ |
Modular covers
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 48.48.0-24.bz.1.7 | $48$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 48.96.1-24.ir.1.6 | $48$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 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 |
|---|---|---|---|---|---|---|
| 48.384.5-24.gb.3.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gb.4.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gf.3.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gf.4.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gj.1.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gj.2.15 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gn.1.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.gn.2.16 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-24.do.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.dt.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.dz.1.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ee.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.ei.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-24.el.1.1 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-24.eo.1.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.er.1.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.er.2.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.et.1.1 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ev.1.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ev.2.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ew.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ew.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fa.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fa.2.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fe.1.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fe.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fi.3.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.fi.4.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fp.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fp.2.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ft.3.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ft.4.3 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gq.1.11 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gw.1.7 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gy.1.11 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.he.1.19 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hq.1.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hs.1.4 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hy.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ia.1.18 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.bau.1.18 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.baw.1.6 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbc.1.4 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bbe.1.10 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfi.1.19 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfo.1.11 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfq.1.7 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfw.1.11 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bhb.3.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhb.4.3 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhf.1.2 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhf.2.2 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhz.1.17 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhz.2.17 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bid.1.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bid.2.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.576.13-24.lm.1.4 | $48$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2^{3}$ |
| 240.384.5-120.bev.1.6 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bev.2.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bez.1.5 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bez.2.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfl.3.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfl.4.4 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfp.3.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.bfp.4.2 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-120.lh.1.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ln.2.21 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lt.2.27 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.lz.2.17 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ml.1.31 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.mr.1.27 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.mx.2.28 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nd.1.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nm.1.21 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nm.2.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nq.1.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.nq.2.10 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oc.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.oc.2.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.og.1.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.og.2.6 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uj.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uj.2.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.un.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.un.2.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vx.1.2 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.vx.2.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wb.3.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wb.4.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ye.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yk.1.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.yu.1.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.za.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bac.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bae.1.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bas.1.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.bau.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.ftg.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fti.1.5 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.ftw.1.5 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fty.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fva.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvg.1.5 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvq.1.5 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fvw.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcx.3.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcx.4.5 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdb.1.2 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gdb.2.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gel.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gel.2.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gep.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gep.2.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |