Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
2760.a1 |
2760d3 |
2760.a |
2760d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.594230$ |
$63649751618/1164375$ |
$[0, -1, 0, -1056, 13356]$ |
\(y^2=x^3-x^2-1056x+13356\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
5520.v1 |
5520g3 |
5520.v |
5520g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$0.644536456$ |
$1$ |
|
$9$ |
$3072$ |
$0.594230$ |
$63649751618/1164375$ |
$[0, 1, 0, -1056, -13356]$ |
\(y^2=x^3+x^2-1056x-13356\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[(-18, 12)]$ |
8280.p1 |
8280l3 |
8280.p |
8280l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.143536$ |
$63649751618/1164375$ |
$[0, 0, 0, -9507, -351106]$ |
\(y^2=x^3-9507x-351106\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
13800.w1 |
13800m3 |
13800.w |
13800m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$2.311459114$ |
$1$ |
|
$3$ |
$36864$ |
$1.398949$ |
$63649751618/1164375$ |
$[0, 1, 0, -26408, 1616688]$ |
\(y^2=x^3+x^2-26408x+1616688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(43, 750)]$ |
16560.bs1 |
16560r3 |
16560.bs |
16560r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$0.865179961$ |
$1$ |
|
$7$ |
$24576$ |
$1.143536$ |
$63649751618/1164375$ |
$[0, 0, 0, -9507, 351106]$ |
\(y^2=x^3-9507x+351106\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(47, 90)]$ |
22080.bg1 |
22080ch4 |
22080.bg |
22080ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.940804$ |
$63649751618/1164375$ |
$[0, -1, 0, -4225, -102623]$ |
\(y^2=x^3-x^2-4225x-102623\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[]$ |
22080.co1 |
22080bj4 |
22080.co |
22080bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1.587889411$ |
$1$ |
|
$11$ |
$24576$ |
$0.940804$ |
$63649751618/1164375$ |
$[0, 1, 0, -4225, 102623]$ |
\(y^2=x^3+x^2-4225x+102623\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[(43, 48)]$ |
27600.s1 |
27600b4 |
27600.s |
27600b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$2.509927516$ |
$1$ |
|
$5$ |
$73728$ |
$1.398949$ |
$63649751618/1164375$ |
$[0, -1, 0, -26408, -1616688]$ |
\(y^2=x^3-x^2-26408x-1616688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-94, 162)]$ |
41400.ba1 |
41400bm4 |
41400.ba |
41400bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$6.058864689$ |
$1$ |
|
$1$ |
$294912$ |
$1.948256$ |
$63649751618/1164375$ |
$[0, 0, 0, -237675, -43888250]$ |
\(y^2=x^3-237675x-43888250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[(2729/2, 84483/2)]$ |
63480.j1 |
63480l4 |
63480.j |
63480l |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$2.161976$ |
$63649751618/1164375$ |
$[0, -1, 0, -558800, -158032500]$ |
\(y^2=x^3-x^2-558800x-158032500\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[]$ |
66240.bh1 |
66240ej4 |
66240.bh |
66240ej |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$0.967522397$ |
$1$ |
|
$9$ |
$196608$ |
$1.490110$ |
$63649751618/1164375$ |
$[0, 0, 0, -38028, 2808848]$ |
\(y^2=x^3-38028x+2808848\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(274, 3600)]$ |
66240.bx1 |
66240bt4 |
66240.bx |
66240bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$4.267567522$ |
$1$ |
|
$3$ |
$196608$ |
$1.490110$ |
$63649751618/1164375$ |
$[0, 0, 0, -38028, -2808848]$ |
\(y^2=x^3-38028x-2808848\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(1172, 39528)]$ |
82800.dk1 |
82800bg4 |
82800.dk |
82800bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$1.246699145$ |
$1$ |
|
$7$ |
$589824$ |
$1.948256$ |
$63649751618/1164375$ |
$[0, 0, 0, -237675, 43888250]$ |
\(y^2=x^3-237675x+43888250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 184.24.0.?, $\ldots$ |
$[(-95, 8100)]$ |
110400.ch1 |
110400z4 |
110400.ch |
110400z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.745523$ |
$63649751618/1164375$ |
$[0, -1, 0, -105633, 13039137]$ |
\(y^2=x^3-x^2-105633x+13039137\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[]$ |
110400.ho1 |
110400hq4 |
110400.ho |
110400hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$2.275295650$ |
$1$ |
|
$5$ |
$589824$ |
$1.745523$ |
$63649751618/1164375$ |
$[0, 1, 0, -105633, -13039137]$ |
\(y^2=x^3+x^2-105633x-13039137\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(-201, 336)]$ |
126960.cx1 |
126960r4 |
126960.cx |
126960r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1622016$ |
$2.161976$ |
$63649751618/1164375$ |
$[0, 1, 0, -558800, 158032500]$ |
\(y^2=x^3+x^2-558800x+158032500\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 184.24.0.?, 2760.48.0.? |
$[]$ |
135240.dp1 |
135240h4 |
135240.dp |
135240h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.029954527$ |
$1$ |
|
$3$ |
$589824$ |
$1.567184$ |
$63649751618/1164375$ |
$[0, 1, 0, -51760, -4477600]$ |
\(y^2=x^3+x^2-51760x-4477600\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(275, 1470)]$ |
190440.n1 |
190440bk3 |
190440.n |
190440bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{4} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$6.027655010$ |
$1$ |
|
$1$ |
$6488064$ |
$2.711285$ |
$63649751618/1164375$ |
$[0, 0, 0, -5029203, 4271906702]$ |
\(y^2=x^3-5029203x+4271906702\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(-2714/3, 2049346/3)]$ |
270480.cv1 |
270480cv3 |
270480.cv |
270480cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$0.714192270$ |
$1$ |
|
$27$ |
$1179648$ |
$1.567184$ |
$63649751618/1164375$ |
$[0, -1, 0, -51760, 4477600]$ |
\(y^2=x^3-x^2-51760x+4477600\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(180, 980), (82, 882)]$ |
317400.cb1 |
317400cb4 |
317400.cb |
317400cb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{10} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$6.704967239$ |
$1$ |
|
$1$ |
$19464192$ |
$2.966698$ |
$63649751618/1164375$ |
$[0, 1, 0, -13970008, -19782002512]$ |
\(y^2=x^3+x^2-13970008x-19782002512\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(434273/4, 283319175/4)]$ |
331200.hw1 |
331200hw3 |
331200.hw |
331200hw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{10} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$7.372715099$ |
$1$ |
|
$11$ |
$4718592$ |
$2.294830$ |
$63649751618/1164375$ |
$[0, 0, 0, -950700, 351106000]$ |
\(y^2=x^3-950700x+351106000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(485, 2025), (-340, 25200)]$ |
331200.jk1 |
331200jk4 |
331200.jk |
331200jk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.294830$ |
$63649751618/1164375$ |
$[0, 0, 0, -950700, -351106000]$ |
\(y^2=x^3-950700x-351106000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
333960.p1 |
333960p4 |
333960.p |
333960p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30360$ |
$48$ |
$0$ |
$24.05663307$ |
$1$ |
|
$3$ |
$1966080$ |
$1.793179$ |
$63649751618/1164375$ |
$[0, -1, 0, -127816, -17265620]$ |
\(y^2=x^3-x^2-127816x-17265620\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(-191, 378), (-3007/4, 18375/4)]$ |
380880.bl1 |
380880bl4 |
380880.bl |
380880bl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{4} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$9.331390791$ |
$1$ |
|
$1$ |
$12976128$ |
$2.711285$ |
$63649751618/1164375$ |
$[0, 0, 0, -5029203, -4271906702]$ |
\(y^2=x^3-5029203x-4271906702\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(69326/5, 6966324/5)]$ |
405720.m1 |
405720m3 |
405720.m |
405720m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.116489$ |
$63649751618/1164375$ |
$[0, 0, 0, -465843, 120429358]$ |
\(y^2=x^3-465843x+120429358\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
466440.u1 |
466440u3 |
466440.u |
466440u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$35880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$1.876705$ |
$63649751618/1164375$ |
$[0, -1, 0, -178520, 28629132]$ |
\(y^2=x^3-x^2-178520x+28629132\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |