Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $24$ | ||
| 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 $6$ are rational) | Cusp widths | $1^{2}\cdot2^{3}\cdot3^{2}\cdot6^{3}\cdot16\cdot48$ | Cusp orbits | $1^{6}\cdot2^{3}$ | ||
| 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: | $6$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 48K3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.5690 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}1&46\\24&41\end{bmatrix}$, $\begin{bmatrix}7&23\\24&25\end{bmatrix}$, $\begin{bmatrix}17&28\\24&29\end{bmatrix}$, $\begin{bmatrix}25&25\\12&41\end{bmatrix}$, $\begin{bmatrix}43&26\\24&47\end{bmatrix}$, $\begin{bmatrix}47&13\\0&17\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 48.96.3.pz.4 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: | $2^{9}\cdot3^{3}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1\cdot2$ |
| Newforms: | 24.2.a.a, 24.2.f.a |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ x^{3} y - 2 x^{2} y^{2} + 2 x^{2} y z + x y^{3} + 2 x y^{2} z + 2 x y z^{2} - x z^{3} - y z^{3} $ |
Rational points
This modular curve has 6 rational cusps but no known non-cuspidal rational points. The following are the coordinates of the rational cusps on this modular curve.
| Canonical model |
|---|
| $(1/2:1/2:1)$, $(1:1:0)$, $(-1:-1:1)$, $(0:0:1)$, $(1:0:0)$, $(0:1:0)$ |
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{x^{24}+732x^{23}z+187260x^{22}z^{2}+18782800x^{21}z^{3}+556638012x^{20}z^{4}+8330662368x^{19}z^{5}+76354337116x^{18}z^{6}+473707018296x^{17}z^{7}+2118541440324x^{16}z^{8}+7149030230280x^{15}z^{9}+18939429864420x^{14}z^{10}+40861455116352x^{13}z^{11}+74081449530934x^{12}z^{12}+115423832973360x^{11}z^{13}+157194388477968x^{10}z^{14}+189405333158208x^{9}z^{15}+203291104403592x^{8}z^{16}+197682808729584x^{7}z^{17}+171063212960976x^{6}z^{18}+133658641126704x^{5}z^{19}+117489711824940x^{4}z^{20}+9647485237768x^{3}z^{21}+48378511622122x^{2}y^{22}-3663572743757416x^{2}y^{21}z+75259371898428684x^{2}y^{20}z^{2}-646484249482236906x^{2}y^{19}z^{3}+2697975051812552468x^{2}y^{18}z^{4}-5425323031061256556x^{2}y^{17}z^{5}+3202919087410469144x^{2}y^{16}z^{6}+6263477586941303064x^{2}y^{15}z^{7}-10934191937104962596x^{2}y^{14}z^{8}+1620551770634924836x^{2}y^{13}z^{9}+8109014434412815564x^{2}y^{12}z^{10}-5108451246421624812x^{2}y^{11}z^{11}-1935624961436689246x^{2}y^{10}z^{12}+2729591927420633532x^{2}y^{9}z^{13}-310906895766605212x^{2}y^{8}z^{14}-539506004327507754x^{2}y^{7}z^{15}+229016362647407964x^{2}y^{6}z^{16}-8671068147126688x^{2}y^{5}z^{17}-29632325499481700x^{2}y^{4}z^{18}+16453049897062498x^{2}y^{3}z^{19}-1124882741010050x^{2}y^{2}z^{20}-1145384548510999x^{2}yz^{21}+118456843123788x^{2}z^{22}-43980465111020xy^{23}+2669614232247464xy^{22}z-41398811809289560xy^{21}z^{2}+241182273286178474xy^{20}z^{3}-532695810230923340xy^{19}z^{4}+127292797331251748xy^{18}z^{5}+466447733129830592xy^{17}z^{6}+1987891690522751448xy^{16}z^{7}-4964794401226022712xy^{15}z^{8}-73952399604878580xy^{14}z^{9}+7729000954351503128xy^{13}z^{10}-4442090208491183156xy^{12}z^{11}-4008200209216825260xy^{11}z^{12}+4346124226303465460xy^{10}z^{13}+278048303921909136xy^{9}z^{14}-1639394218741884926xy^{8}z^{15}+435367762945264948xy^{7}z^{16}+197055538056719376xy^{6}z^{17}-139214089190147236xy^{5}z^{18}+32438486684812066xy^{4}z^{19}+7975466755056652xy^{3}z^{20}-9206094496446079xy^{2}z^{21}+1523413497064582xyz^{22}+145455917299872xz^{23}+y^{24}+732y^{23}z+187260y^{22}z^{2}+43980483893820y^{21}z^{3}-2757574605831492y^{20}z^{4}+46826009534668896y^{19}z^{5}-329235486131204468y^{18}z^{6}+1092739127989938776y^{17}z^{7}-1579604838486032208y^{16}z^{8}+20801709105937600y^{15}z^{9}+2623801464560205424y^{14}z^{10}-2267800256590349448y^{13}z^{11}-920862233621511388y^{12}z^{12}+2081251911038336760y^{11}z^{13}-415792489592545656y^{10}z^{14}-715196194715343324y^{9}z^{15}+372997942742173532y^{8}z^{16}+57074730952774320y^{7}z^{17}-84740819218987652y^{6}z^{18}+23505404909183288y^{5}z^{19}+1045913796528504y^{4}z^{20}-4896239177663748y^{3}z^{21}+1695868485640570y^{2}z^{22}+145455917299872yz^{23}+4096z^{24}}{z(x^{23}-13x^{22}z+61x^{21}z^{2}-28x^{20}z^{3}-1014x^{19}z^{4}+4935x^{18}z^{5}-7408x^{17}z^{6}-26111x^{16}z^{7}+174993x^{15}z^{8}-421569x^{14}z^{9}+77200x^{13}z^{10}+3175732x^{12}z^{11}-12724128x^{11}z^{12}+24314760x^{10}z^{13}+3494292x^{9}z^{14}-203052395x^{8}z^{15}+792788654x^{7}z^{16}-1637545057x^{6}z^{17}+434900282x^{5}z^{18}+11421466167x^{4}z^{19}-51612705749x^{3}z^{20}-21x^{2}y^{21}+6880x^{2}y^{20}z-617215x^{2}y^{19}z^{2}+24731235x^{2}y^{18}z^{3}-535034047x^{2}y^{17}z^{4}+6884822184x^{2}y^{16}z^{5}-55371914824x^{2}y^{15}z^{6}+402515706165x^{2}y^{14}z^{7}-4679796131924x^{2}y^{13}z^{8}+34123593423641x^{2}y^{12}z^{9}-111897566046781x^{2}y^{11}z^{10}+147897162816523x^{2}y^{10}z^{11}+2988166098267x^{2}y^{9}z^{12}-186632350459018x^{2}y^{8}z^{13}+123959212003076x^{2}y^{7}z^{14}+51098829765411x^{2}y^{6}z^{15}-75266839953210x^{2}y^{5}z^{16}+7734413088421x^{2}y^{4}z^{17}+14805256565363x^{2}y^{3}z^{18}-3978352863645x^{2}y^{2}z^{19}-612696032196x^{2}yz^{20}+124427469585x^{2}z^{21}+19xy^{22}-5926xy^{21}z+477217xy^{20}z^{2}-16852750xy^{19}z^{3}+314222195xy^{18}z^{4}-3372765485xy^{17}z^{5}+21478490352xy^{16}z^{6}-181883549074xy^{15}z^{7}+2390919654103xy^{14}z^{8}-11383467931058xy^{13}z^{9}+13176664520927xy^{12}z^{10}+11334094606457xy^{11}z^{11}+15854564972983xy^{10}z^{12}-115036181083304xy^{9}z^{13}+75259938361182xy^{8}z^{14}+95770537025996xy^{7}z^{15}-111625680938052xy^{6}z^{16}-7329794580044xy^{5}z^{17}+46366615459459xy^{4}z^{18}-11004679609556xy^{3}z^{19}-6079310960459xy^{2}z^{20}+2258264102771xyz^{21}-100629980952xz^{22}+y^{23}-13y^{22}z+61y^{21}z^{2}-47y^{20}z^{3}+4950y^{19}z^{4}-484172y^{18}z^{5}+17811592y^{17}z^{6}-348897008y^{16}z^{7}+4034172032y^{15}z^{8}-28818704232y^{14}z^{9}+230880474658y^{13}z^{10}-2788706054428y^{12}z^{11}+16455827789612y^{11}z^{12}-40139170426762y^{10}z^{13}+31635328502370y^{9}z^{14}+24888336715984y^{8}z^{15}-50552566565208y^{7}z^{16}+11116754455674y^{6}z^{17}+19645231401058y^{5}z^{18}-10320375470002y^{4}z^{19}-1901929238810y^{3}z^{20}+1932576667186y^{2}z^{21}-100629980952yz^{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.1.14 | $24$ | $2$ | $2$ | $1$ | $0$ | $2$ |
| 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 |
|---|---|---|---|---|---|---|
| 48.384.5-48.ka.2.17 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kb.2.17 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kc.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kd.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.ke.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kf.4.9 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kg.4.17 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-48.kh.4.17 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-48.cg.2.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.cn.2.20 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.cw.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.cx.1.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ec.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ef.4.22 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.eh.1.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.ei.2.11 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.ep.4.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.eq.4.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.er.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.es.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.et.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.eu.4.1 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ev.2.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ew.2.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fv.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fw.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fx.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fy.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.fz.3.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.ga.2.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gb.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gc.4.9 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.gl.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gm.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.gn.4.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.go.4.5 | $48$ | $2$ | $2$ | $7$ | $1$ | $1^{2}\cdot2$ |
| 48.384.7-48.hj.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hk.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hl.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.7-48.hm.4.5 | $48$ | $2$ | $2$ | $7$ | $0$ | $1^{2}\cdot2$ |
| 48.384.9-48.ban.4.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bao.4.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bap.4.5 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.baq.4.5 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfd.4.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfe.4.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{4}\cdot2$ |
| 48.384.9-48.bff.4.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bfg.4.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{4}\cdot2$ |
| 48.384.9-48.bgz.3.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bha.2.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhb.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhc.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhd.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhe.4.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhf.4.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.bhg.4.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.576.13-48.cf.1.1 | $48$ | $3$ | $3$ | $13$ | $0$ | $1^{4}\cdot2\cdot4$ |
| 240.384.5-240.clg.2.33 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clh.1.33 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cli.3.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clj.4.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clk.4.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cll.3.17 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.clm.1.33 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-240.cln.2.33 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-240.rx.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ry.2.38 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.rz.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.sa.2.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tb.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tc.4.38 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.td.1.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.te.4.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.tz.2.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ua.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ub.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uc.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ud.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ue.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.uf.1.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ug.2.33 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wl.4.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wm.3.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wn.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wo.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wp.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wq.3.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.wr.3.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ws.4.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xr.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xs.4.17 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xt.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.xu.4.17 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zn.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zo.4.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zp.4.1 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.zq.4.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.fsr.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fss.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fst.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fsu.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fun.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fuo.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fup.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.fuq.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcn.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gco.3.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcp.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcq.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcr.4.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcs.3.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gct.3.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.gcu.4.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |