Invariants
| Level: | $48$ | $\SL_2$-level: | $48$ | Newform level: | $192$ | ||
| 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 | $2^{4}\cdot6^{4}\cdot8^{2}\cdot24^{2}$ | Cusp orbits | $1^{4}\cdot2^{4}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $4$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 24V3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 48.192.3.689 |
Level structure
| $\GL_2(\Z/48\Z)$-generators: | $\begin{bmatrix}1&20\\0&17\end{bmatrix}$, $\begin{bmatrix}23&24\\24&17\end{bmatrix}$, $\begin{bmatrix}23&39\\24&37\end{bmatrix}$, $\begin{bmatrix}29&31\\0&23\end{bmatrix}$, $\begin{bmatrix}35&23\\24&1\end{bmatrix}$, $\begin{bmatrix}41&7\\0&13\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 24.96.3.dg.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: | $2^{15}\cdot3^{3}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1^{3}$ |
| Newforms: | 24.2.a.a, 192.2.a.b, 192.2.a.d |
Models
Embedded model Embedded model in $\mathbb{P}^{4}$
| $ 0 $ | $=$ | $ - x y t + y^{2} w - y^{2} t + y z w $ |
| $=$ | $ - x z t + y z w - y z t + z^{2} w$ | |
| $=$ | $ - x t^{2} + y w t - y t^{2} + z w t$ | |
| $=$ | $ - x w t + y w^{2} - y w t + z w^{2}$ | |
| $=$ | $\cdots$ |
Singular plane model Singular plane model
| $ 0 $ | $=$ | $ 4 x^{6} - 10 x^{4} y^{2} - 28 x^{4} z^{2} + 4 x^{2} y^{4} + 52 x^{2} y^{2} z^{2} + 57 x^{2} z^{4} + \cdots - 36 z^{6} $ |
Weierstrass model Weierstrass model
| $ y^{2} + x^{4} y $ | $=$ | $ 14x^{4} + 4 $ |
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.
| Embedded model |
|---|
| $(0:0:0:-2:1)$, $(1:-1:1:0:0)$, $(0:-2:1:0:0)$, $(1:1:0:0:0)$ |
Maps to other modular curves
$j$-invariant map of degree 96 from the embedded model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle \frac{1}{3^2}\cdot\frac{89487567957632xzt^{12}-93312y^{14}-30979584y^{12}t^{2}-3436960896y^{10}t^{4}-128549597184y^{8}t^{6}-147858276096y^{6}t^{8}-2692270996416y^{4}t^{10}-24384044726496y^{2}t^{12}-1415356416yz^{13}-102263233536yz^{11}t^{2}-1642521867264yz^{9}t^{4}+4806383920128yz^{7}t^{6}+232964599001472yz^{5}t^{8}+120076262735616yz^{3}t^{10}+34255067611328yzt^{12}-1422821376z^{14}-101260689408z^{12}t^{2}-1589332161024z^{10}t^{4}+5924452409856z^{8}t^{6}+233788035411072z^{6}t^{8}+25191688756608z^{4}t^{10}+684746298z^{2}w^{12}-59843698452z^{2}w^{11}t-163558153098z^{2}w^{10}t^{2}-1933255896588z^{2}w^{9}t^{3}-4652927330220z^{2}w^{8}t^{4}-12840117763536z^{2}w^{7}t^{5}-32117235997626z^{2}w^{6}t^{6}+10469862032148z^{2}w^{5}t^{7}+40592763053616z^{2}w^{4}t^{8}+219642046535760z^{2}w^{3}t^{9}+561671100123872z^{2}w^{2}t^{10}-626502125397632z^{2}wt^{11}-1649352181030560z^{2}t^{12}-402780276w^{14}+29185207848w^{13}t+78797816712w^{12}t^{2}+895155928560w^{11}t^{3}+2139056507619w^{10}t^{4}+4247604922842w^{9}t^{5}+10724738134383w^{8}t^{6}-23036059841598w^{7}t^{7}-64180746897261w^{6}t^{8}-119163207710514w^{5}t^{9}-277031226659440w^{4}t^{10}+390523437710104w^{3}t^{11}+1033440205581408w^{2}t^{12}-282939716723856wt^{13}-802168879115232t^{14}}{t^{2}(5956758600xzt^{10}-5184y^{12}+181440y^{10}t^{2}-2404080y^{8}t^{4}+14793840y^{6}t^{6}-40959756y^{4}t^{8}+38787012y^{2}t^{10}-21228480yz^{11}+514716768yz^{9}t^{2}-4011053904yz^{7}t^{4}+12389771016yz^{5}t^{6}-12531171096yz^{3}t^{8}-22748973676yzt^{10}-21223296z^{12}+525118464z^{10}t^{2}-4233371040z^{8}t^{4}+13818602592z^{6}t^{6}-15988431888z^{4}t^{8}-451326654z^{2}w^{9}t-1124560422z^{2}w^{8}t^{2}+6758473896z^{2}w^{7}t^{3}+16852846986z^{2}w^{6}t^{4}-42779753028z^{2}w^{5}t^{5}-106416320760z^{2}w^{4}t^{6}+132106142460z^{2}w^{3}t^{7}+327489876300z^{2}w^{2}t^{8}-170232181012z^{2}wt^{9}-443896502808z^{2}t^{10}+225332604w^{11}t+561293388w^{10}t^{2}-3811519692w^{9}t^{3}-9495741024w^{8}t^{4}+26655079203w^{7}t^{5}+66224748627w^{6}t^{6}-92361679890w^{5}t^{7}-228453260199w^{4}t^{8}+148303512449w^{3}t^{9}+366990979897w^{2}t^{10}-86839833468wt^{11}-215942490852t^{12})}$ |
Map of degree 1 from the embedded model of this modular curve to the plane model of the modular curve 24.96.3.dg.1 :
| $\displaystyle X$ | $=$ | $\displaystyle w$ |
| $\displaystyle Y$ | $=$ | $\displaystyle z$ |
| $\displaystyle Z$ | $=$ | $\displaystyle t$ |
Equation of the image curve:
| $0$ | $=$ | $ 4X^{6}-10X^{4}Y^{2}+4X^{2}Y^{4}-28X^{4}Z^{2}+52X^{2}Y^{2}Z^{2}-16Y^{4}Z^{2}+57X^{2}Z^{4}-80Y^{2}Z^{4}-36Z^{6} $ |
Map of degree 1 from the embedded model of this modular curve to the Weierstrass model of the modular curve 24.96.3.dg.1 :
| $\displaystyle X$ | $=$ | $\displaystyle -\frac{2}{3}z^{3}w^{2}+\frac{8}{3}z^{3}t^{2}+\frac{7}{3}zw^{4}-\frac{37}{3}zw^{2}t^{2}+\frac{52}{3}zt^{4}+2w^{5}+4w^{4}t-\frac{25}{3}w^{3}t^{2}-\frac{50}{3}w^{2}t^{3}+8wt^{4}+16t^{5}$ |
| $\displaystyle Y$ | $=$ | $\displaystyle 208z^{3}w^{17}+\frac{608}{3}z^{3}w^{16}t-\frac{11512}{3}z^{3}w^{15}t^{2}-\frac{10928}{3}z^{3}w^{14}t^{3}+\frac{91252}{3}z^{3}w^{13}t^{4}+\frac{252440}{9}z^{3}w^{12}t^{5}-\frac{3655946}{27}z^{3}w^{11}t^{6}-\frac{9796972}{81}z^{3}w^{10}t^{7}+\frac{30007040}{81}z^{3}w^{9}t^{8}+\frac{25894784}{81}z^{3}w^{8}t^{9}-\frac{51693152}{81}z^{3}w^{7}t^{10}-\frac{42993088}{81}z^{3}w^{6}t^{11}+\frac{6087424}{9}z^{3}w^{5}t^{12}+\frac{4869632}{9}z^{3}w^{4}t^{13}-403456z^{3}w^{3}t^{14}-\frac{929792}{3}z^{3}w^{2}t^{15}+\frac{311296}{3}z^{3}wt^{16}+\frac{229376}{3}z^{3}t^{17}+\frac{544}{3}z^{2}w^{18}+128z^{2}w^{17}t-\frac{10688}{3}z^{2}w^{16}t^{2}-2304z^{2}w^{15}t^{3}+\frac{274960}{9}z^{2}w^{14}t^{4}+\frac{53312}{3}z^{2}w^{13}t^{5}-\frac{12168464}{81}z^{2}w^{12}t^{6}-\frac{2072896}{27}z^{2}w^{11}t^{7}+467222z^{2}w^{10}t^{8}+\frac{5490520}{27}z^{2}w^{9}t^{9}-\frac{77266672}{81}z^{2}w^{8}t^{10}-\frac{3045728}{9}z^{2}w^{7}t^{11}+\frac{34549088}{27}z^{2}w^{6}t^{12}+345856z^{2}w^{5}t^{13}-\frac{3265280}{3}z^{2}w^{4}t^{14}-198656z^{2}w^{3}t^{15}+\frac{1599488}{3}z^{2}w^{2}t^{16}+49152z^{2}wt^{17}-114688z^{2}t^{18}-344zw^{19}-\frac{1360}{3}zw^{18}t+\frac{19292}{3}zw^{17}t^{2}+\frac{25112}{3}zw^{16}t^{3}-\frac{160946}{3}zw^{15}t^{4}-\frac{615196}{9}zw^{14}t^{5}+\frac{7083517}{27}zw^{13}t^{6}+\frac{26234054}{81}zw^{12}t^{7}-\frac{67136335}{81}zw^{11}t^{8}-\frac{26481266}{27}zw^{10}t^{9}+\frac{142010848}{81}zw^{9}t^{10}+\frac{53122048}{27}zw^{8}t^{11}-\frac{200852848}{81}zw^{7}t^{12}-\frac{211656032}{81}zw^{6}t^{13}+\frac{20312960}{9}zw^{5}t^{14}+\frac{19929856}{9}zw^{4}t^{15}-1197056zw^{3}t^{16}-\frac{3258368}{3}zw^{2}t^{17}+\frac{843776}{3}zwt^{18}+\frac{704512}{3}zt^{19}-\frac{782}{3}w^{20}-320w^{19}t+5116w^{18}t^{2}+\frac{17600}{3}w^{17}t^{3}-\frac{406679}{9}w^{16}t^{4}-\frac{142624}{3}w^{15}t^{5}+\frac{19174015}{81}w^{14}t^{6}+\frac{6033664}{27}w^{13}t^{7}-\frac{528106061}{648}w^{12}t^{8}-\frac{54376756}{81}w^{11}t^{9}+\frac{156105614}{81}w^{10}t^{10}+\frac{108233804}{81}w^{9}t^{11}-\frac{256745258}{81}w^{8}t^{12}-\frac{47566288}{27}w^{7}t^{13}+\frac{96615856}{27}w^{6}t^{14}+1483136w^{5}t^{15}-\frac{7955072}{3}w^{4}t^{16}-\frac{2169856}{3}w^{3}t^{17}+\frac{3490816}{3}w^{2}t^{18}+155648wt^{19}-229376t^{20}$ |
| $\displaystyle Z$ | $=$ | $\displaystyle \frac{2}{3}z^{3}w^{2}-\frac{8}{3}z^{3}t^{2}-\frac{7}{3}zw^{4}+\frac{37}{3}zw^{2}t^{2}-\frac{52}{3}zt^{4}-w^{5}+2w^{4}t+\frac{25}{6}w^{3}t^{2}-\frac{25}{3}w^{2}t^{3}-4wt^{4}+8t^{5}$ |
Modular covers
The following modular covers realize this modular curve as a fiber product over $X(1)$.
| Factor curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| $X_0(3)$ | $3$ | $48$ | $24$ | $0$ | $0$ | full Jacobian |
| 16.48.0-8.r.1.3 | $16$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 16.48.0-8.r.1.3 | $16$ | $4$ | $4$ | $0$ | $0$ | full Jacobian |
| 48.96.1-24.ir.1.13 | $48$ | $2$ | $2$ | $1$ | $0$ | $1^{2}$ |
| 48.96.1-24.ir.1.17 | $48$ | $2$ | $2$ | $1$ | $0$ | $1^{2}$ |
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.dt.1.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.dt.2.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.dt.3.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.dt.4.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.du.1.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.du.2.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.du.3.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.5-24.du.4.5 | $48$ | $2$ | $2$ | $5$ | $0$ | $2$ |
| 48.384.7-48.cx.1.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.cx.1.26 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.cx.2.10 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.cx.2.26 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dd.1.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dd.1.21 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dd.2.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dd.2.19 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.de.1.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.de.1.21 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.de.2.17 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.de.2.19 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dg.1.19 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dg.1.20 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dg.2.19 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-48.dg.2.20 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.eb.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.eb.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ec.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ec.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.1.11 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.1.12 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.2.11 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.2.12 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.3.14 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.3.16 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.4.15 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ed.4.16 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ee.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ee.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ef.1.2 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.7-24.ef.1.6 | $48$ | $2$ | $2$ | $7$ | $0$ | $2^{2}$ |
| 48.384.9-48.mm.1.1 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{6}$ |
| 48.384.9-48.mm.1.5 | $48$ | $2$ | $2$ | $9$ | $1$ | $1^{6}$ |
| 48.384.9-48.mn.1.1 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{6}$ |
| 48.384.9-48.mn.1.9 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{6}$ |
| 48.384.9-48.mo.1.18 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mo.1.22 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mo.2.18 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mo.2.22 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mp.1.17 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mp.1.21 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mp.2.17 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mp.2.21 | $48$ | $2$ | $2$ | $9$ | $0$ | $2\cdot4$ |
| 48.384.9-48.mq.1.1 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{6}$ |
| 48.384.9-48.mq.1.5 | $48$ | $2$ | $2$ | $9$ | $2$ | $1^{6}$ |
| 48.384.9-48.mr.1.1 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{6}$ |
| 48.384.9-48.mr.1.9 | $48$ | $2$ | $2$ | $9$ | $0$ | $1^{6}$ |
| 48.576.13-24.gq.1.10 | $48$ | $3$ | $3$ | $13$ | $2$ | $1^{10}$ |
| 240.384.5-120.sb.1.10 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sb.2.9 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sb.3.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sb.4.12 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sc.1.11 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sc.2.12 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sc.3.16 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.5-120.sc.4.15 | $240$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 240.384.7-120.kl.1.14 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kl.1.29 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.km.1.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.km.1.29 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.1.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.1.21 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.2.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.2.27 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.3.9 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.3.15 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.4.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kn.4.31 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ko.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.ko.1.25 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kp.1.13 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-120.kp.1.31 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.on.1.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.on.1.50 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.on.2.18 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.on.2.50 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ot.1.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ot.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ot.2.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ot.2.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ou.1.3 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ou.1.19 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ou.2.5 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ou.2.7 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ow.1.34 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ow.1.38 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ow.2.34 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.7-240.ow.2.38 | $240$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 240.384.9-240.cfs.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfs.1.9 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cft.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cft.1.17 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfu.1.6 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfu.1.22 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfu.2.6 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfu.2.22 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfv.1.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfv.1.19 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfv.2.3 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfv.2.19 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfw.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfw.1.17 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfx.1.1 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |
| 240.384.9-240.cfx.1.33 | $240$ | $2$ | $2$ | $9$ | $?$ | not computed |