Invariants
| Level: | $40$ | $\SL_2$-level: | $40$ | Newform level: | $100$ | ||
| Index: | $120$ | $\PSL_2$-index: | $60$ | ||||
| Genus: | $3 = 1 + \frac{ 60 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$ | ||||||
| Cusps: | $6$ (none of which are rational) | Cusp widths | $5^{4}\cdot20^{2}$ | Cusp orbits | $2^{3}$ | ||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $3 \le \gamma \le 4$ | ||||||
| $\overline{\Q}$-gonality: | $3$ | ||||||
| Rational cusps: | $0$ | ||||||
| Rational CM points: | none |
Other labels
| Cummins and Pauli (CP) label: | 20E3 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 40.120.3.3 |
Level structure
| $\GL_2(\Z/40\Z)$-generators: | $\begin{bmatrix}11&37\\36&39\end{bmatrix}$, $\begin{bmatrix}17&25\\28&23\end{bmatrix}$, $\begin{bmatrix}19&30\\16&1\end{bmatrix}$, $\begin{bmatrix}33&15\\20&3\end{bmatrix}$, $\begin{bmatrix}33&23\\12&15\end{bmatrix}$, $\begin{bmatrix}37&27\\0&13\end{bmatrix}$ |
| Contains $-I$: | no $\quad$ (see 20.60.3.c.1 for the level structure with $-I$) |
| Cyclic 40-isogeny field degree: | $12$ |
| Cyclic 40-torsion field degree: | $96$ |
| Full 40-torsion field degree: | $6144$ |
Jacobian
| Conductor: | $2^{4}\cdot5^{6}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{3}$ |
| Newforms: | 50.2.a.b$^{2}$, 100.2.a.a |
Models
Canonical model in $\mathbb{P}^{ 2 }$
| $ 0 $ | $=$ | $ 2 x^{4} - 4 x^{3} y + 4 x^{3} z + 6 x^{2} y^{2} + 17 x^{2} y z + 5 x^{2} z^{2} - 4 x y^{3} - 17 x y^{2} z + \cdots - 2 z^{4} $ |
Rational points
This modular curve has real points and $\Q_p$ points for $p$ not dividing the level, but no known rational points.
Maps to other modular curves
$j$-invariant map of degree 60 from the canonical model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle 2\cdot5^2\,\frac{2808x^{2}y^{13}+51880x^{2}y^{12}z+435274x^{2}y^{11}z^{2}+2365338x^{2}y^{10}z^{3}+9110190x^{2}y^{9}z^{4}+26111038x^{2}y^{8}z^{5}+56462820x^{2}y^{7}z^{6}+91565124x^{2}y^{6}z^{7}+109022548x^{2}y^{5}z^{8}+90187620x^{2}y^{4}z^{9}+48965042x^{2}y^{3}z^{10}+16482690x^{2}y^{2}z^{11}+3136806x^{2}yz^{12}+265302x^{2}z^{13}-2808xy^{14}-49072xy^{13}z-383394xy^{12}z^{2}-1930064xy^{11}z^{3}-6744852xy^{10}z^{4}-17000848xy^{9}z^{5}-30351782xy^{8}z^{6}-35102304xy^{7}z^{7}-17457424xy^{6}z^{8}+18834928xy^{5}z^{9}+41222578xy^{4}z^{10}+32482352xy^{3}z^{11}+13345884xy^{2}z^{12}+2871504xyz^{13}+265302xz^{14}+1728y^{15}+15952y^{14}z+90460y^{13}z^{2}+336519y^{12}z^{3}+884310y^{11}z^{4}+1667224y^{10}z^{5}+2104542y^{9}z^{6}+1573455y^{8}z^{7}-543716y^{7}z^{8}-3474120y^{6}z^{9}-7892872y^{5}z^{10}-11484267y^{4}z^{11}-9655250y^{3}z^{12}-4597344y^{2}z^{13}-1170450yz^{14}-132651z^{15}}{7x^{2}y^{13}+593x^{2}y^{12}z+11914x^{2}y^{11}z^{2}+92914x^{2}y^{10}z^{3}+353505x^{2}y^{9}z^{4}+731187x^{2}y^{8}z^{5}+850168x^{2}y^{7}z^{6}+549044x^{2}y^{6}z^{7}+196209x^{2}y^{5}z^{8}+45715x^{2}y^{4}z^{9}+6598x^{2}y^{3}z^{10}+642x^{2}y^{2}z^{11}+31x^{2}yz^{12}+x^{2}z^{13}-7xy^{14}-586xy^{13}z-11321xy^{12}z^{2}-81000xy^{11}z^{3}-260591xy^{10}z^{4}-377682xy^{9}z^{5}-118981xy^{8}z^{6}+301124xy^{7}z^{7}+352835xy^{6}z^{8}+150494xy^{5}z^{9}+39117xy^{4}z^{10}+5956xy^{3}z^{11}+611xy^{2}z^{12}+30xyz^{13}+xz^{14}+6y^{15}+341y^{14}z+3925y^{13}z^{2}+14416y^{12}z^{3}+19374y^{11}z^{4}+7451y^{10}z^{5}+4921y^{9}z^{6}-8160y^{8}z^{7}-73144y^{7}z^{8}-100901y^{6}z^{9}-52451y^{5}z^{10}-14656y^{4}z^{11}-2580y^{3}z^{12}-251y^{2}z^{13}-19yz^{14}}$ |
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 |
|---|---|---|---|---|---|---|
| $X_{\mathrm{ns}}^+(5)$ | $5$ | $12$ | $6$ | $0$ | $0$ | full Jacobian |
| 8.12.0-4.c.1.5 | $8$ | $10$ | $10$ | $0$ | $0$ | full Jacobian |
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 8.12.0-4.c.1.5 | $8$ | $10$ | $10$ | $0$ | $0$ | full Jacobian |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 40.240.5-20.i.1.1 | $40$ | $2$ | $2$ | $5$ | $0$ | $1^{2}$ |
| 40.240.5-20.j.1.1 | $40$ | $2$ | $2$ | $5$ | $2$ | $1^{2}$ |
| 40.240.5-20.m.1.3 | $40$ | $2$ | $2$ | $5$ | $0$ | $1^{2}$ |
| 40.240.5-20.n.1.3 | $40$ | $2$ | $2$ | $5$ | $0$ | $1^{2}$ |
| 40.240.5-40.be.1.14 | $40$ | $2$ | $2$ | $5$ | $2$ | $1^{2}$ |
| 40.240.5-40.bh.1.14 | $40$ | $2$ | $2$ | $5$ | $0$ | $1^{2}$ |
| 40.240.5-40.bq.1.14 | $40$ | $2$ | $2$ | $5$ | $0$ | $1^{2}$ |
| 40.240.5-40.bt.1.14 | $40$ | $2$ | $2$ | $5$ | $2$ | $1^{2}$ |
| 40.240.7-20.b.1.44 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.j.1.16 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-20.p.1.24 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-20.s.1.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-20.t.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-20.w.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-20.x.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-20.ba.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-20.bb.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.bu.1.16 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.240.7-40.cc.1.16 | $40$ | $2$ | $2$ | $7$ | $3$ | $1^{4}$ |
| 40.240.7-40.cf.1.16 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.ci.1.17 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.ci.1.19 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cj.1.25 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cj.1.27 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.ck.1.18 | $40$ | $2$ | $2$ | $7$ | $3$ | $1^{4}$ |
| 40.240.7-40.ck.1.20 | $40$ | $2$ | $2$ | $7$ | $3$ | $1^{4}$ |
| 40.240.7-40.cl.1.10 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cl.1.12 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cm.1.17 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cm.1.19 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.cn.1.5 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cn.1.7 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.co.1.18 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.co.1.20 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.cp.1.6 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cp.1.8 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cq.1.6 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cq.1.8 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cr.1.18 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.cr.1.20 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.cs.1.5 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cs.1.7 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.ct.1.17 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.240.7-40.ct.1.19 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.240.7-40.cu.1.10 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cu.1.12 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cv.1.18 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cv.1.20 | $40$ | $2$ | $2$ | $7$ | $1$ | $1^{4}$ |
| 40.240.7-40.cw.1.9 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.cw.1.11 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.cx.1.17 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.240.7-40.cx.1.19 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.240.7-40.de.1.15 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.dh.1.15 | $40$ | $2$ | $2$ | $7$ | $2$ | $1^{4}$ |
| 40.240.7-40.dq.1.15 | $40$ | $2$ | $2$ | $7$ | $0$ | $1^{4}$ |
| 40.240.7-40.dt.1.15 | $40$ | $2$ | $2$ | $7$ | $4$ | $1^{4}$ |
| 40.360.7-20.m.1.15 | $40$ | $3$ | $3$ | $7$ | $0$ | $1^{4}$ |
| 120.240.5-60.i.1.10 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-60.j.1.13 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-60.m.1.22 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-60.n.1.20 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-120.be.1.32 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-120.bh.1.32 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-120.bq.1.32 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.5-120.bt.1.32 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.240.7-60.s.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.t.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.w.1.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.x.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.ba.1.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.bb.1.24 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.be.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-60.bf.1.22 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cc.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cf.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.co.1.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cr.1.23 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cu.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cu.1.13 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cv.1.17 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cv.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cw.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cw.1.11 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cx.1.17 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cx.1.19 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cy.1.33 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cy.1.37 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cz.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.cz.1.13 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.da.1.33 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.da.1.35 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.db.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.db.1.11 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dc.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dc.1.11 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dd.1.33 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dd.1.35 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.de.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.de.1.13 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.df.1.33 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.df.1.37 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dg.1.17 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dg.1.19 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dh.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dh.1.11 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.di.1.17 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.di.1.21 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dj.1.9 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dj.1.13 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dq.1.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.dt.1.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.ec.1.18 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.240.7-120.ef.1.19 | $120$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 120.360.13-60.be.1.49 | $120$ | $3$ | $3$ | $13$ | $?$ | not computed |
| 120.480.15-60.bq.1.105 | $120$ | $4$ | $4$ | $15$ | $?$ | not computed |
| 280.240.5-140.i.1.14 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-140.j.1.14 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-140.m.1.12 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-140.n.1.12 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-280.be.1.26 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-280.bh.1.26 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-280.bq.1.26 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.5-280.bt.1.26 | $280$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 280.240.7-140.s.1.20 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.t.1.12 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.w.1.20 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.x.1.20 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.ba.1.10 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.bb.1.18 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.be.1.18 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-140.bf.1.20 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cc.1.30 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cf.1.30 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.co.1.22 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cr.1.22 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cu.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cu.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cv.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cv.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cw.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cw.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cx.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cx.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cy.1.17 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cy.1.21 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cz.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.cz.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.da.1.17 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.da.1.19 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.db.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.db.1.11 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dc.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dc.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dd.1.17 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dd.1.21 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.de.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.de.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.df.1.17 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.df.1.21 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dg.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dg.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dh.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dh.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.di.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.di.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dj.1.9 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dj.1.13 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dq.1.23 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.dt.1.23 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.ec.1.19 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |
| 280.240.7-280.ef.1.20 | $280$ | $2$ | $2$ | $7$ | $?$ | not computed |