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 |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
1326.a4 |
1326b1 |
1326.a |
1326b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$1.411970131$ |
$1$ |
|
$5$ |
$128$ |
$-0.312699$ |
$67419143/169728$ |
$0.85450$ |
$2.67534$ |
$[1, 1, 0, 9, 21]$ |
\(y^2+xy=x^3+x^2+9x+21\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(-1, 4)]$ |
3978.j4 |
3978j1 |
3978.j |
3978j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.236607$ |
$67419143/169728$ |
$0.85450$ |
$3.11601$ |
$[1, -1, 1, 76, -489]$ |
\(y^2+xy+y=x^3-x^2+76x-489\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
10608.q4 |
10608z1 |
10608.q |
10608z |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{20} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$5.779604515$ |
$1$ |
|
$1$ |
$3072$ |
$0.380448$ |
$67419143/169728$ |
$0.85450$ |
$2.97251$ |
$[0, 1, 0, 136, -1068]$ |
\(y^2=x^3+x^2+136x-1068\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[(177/4, 2799/4)]$ |
17238.k4 |
17238l1 |
17238.k |
17238l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$5.977218523$ |
$1$ |
|
$3$ |
$21504$ |
$0.969776$ |
$67419143/169728$ |
$0.85450$ |
$3.54953$ |
$[1, 1, 1, 1433, 38813]$ |
\(y^2+xy+y=x^3+x^2+1433x+38813\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 408.24.0.?, 1326.6.0.?, $\ldots$ |
$[(499/5, 33122/5)]$ |
22542.o4 |
22542m1 |
22542.o |
22542m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$10.16694629$ |
$1$ |
|
$1$ |
$36864$ |
$1.103909$ |
$67419143/169728$ |
$0.85450$ |
$3.61511$ |
$[1, 0, 1, 2450, 85664]$ |
\(y^2+xy+y=x^3+2450x+85664\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(-31067/39, 10358347/39)]$ |
31824.be4 |
31824bj1 |
31824.be |
31824bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{20} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.929754$ |
$67419143/169728$ |
$0.85450$ |
$3.29331$ |
$[0, 0, 0, 1221, 30058]$ |
\(y^2=x^3+1221x+30058\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
33150.cd4 |
33150bw1 |
33150.cd |
33150bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.645496017$ |
$1$ |
|
$3$ |
$16384$ |
$0.492020$ |
$67419143/169728$ |
$0.85450$ |
$2.77574$ |
$[1, 0, 0, 212, 2192]$ |
\(y^2+xy=x^3+212x+2192\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(28, 160)]$ |
42432.ba4 |
42432bk1 |
42432.ba |
42432bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5304$ |
$48$ |
$0$ |
$9.489641174$ |
$1$ |
|
$1$ |
$24576$ |
$0.727022$ |
$67419143/169728$ |
$0.85450$ |
$2.97608$ |
$[0, -1, 0, 543, -9087]$ |
\(y^2=x^3-x^2+543x-9087\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, $\ldots$ |
$[(5729/20, 301783/20)]$ |
42432.cg4 |
42432r1 |
42432.cg |
42432r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5304$ |
$48$ |
$0$ |
$10.84462950$ |
$1$ |
|
$1$ |
$24576$ |
$0.727022$ |
$67419143/169728$ |
$0.85450$ |
$2.97608$ |
$[0, 1, 0, 543, 9087]$ |
\(y^2=x^3+x^2+543x+9087\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, $\ldots$ |
$[(-19711/40, 1668513/40)]$ |
51714.e4 |
51714d1 |
51714.e |
51714d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$6.307832690$ |
$1$ |
|
$11$ |
$172032$ |
$1.519083$ |
$67419143/169728$ |
$0.85450$ |
$3.79757$ |
$[1, -1, 0, 12897, -1035059]$ |
\(y^2+xy=x^3-x^2+12897x-1035059\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(75, 554), (78, 625)]$ |
64974.x4 |
64974r1 |
64974.x |
64974r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 7^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$5.320923374$ |
$1$ |
|
$1$ |
$49152$ |
$0.660256$ |
$67419143/169728$ |
$0.85450$ |
$2.78936$ |
$[1, 0, 1, 415, -5932]$ |
\(y^2+xy+y=x^3+415x-5932\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 104.12.0.?, 364.12.0.?, $\ldots$ |
$[(1324/3, 46633/3)]$ |
67626.x4 |
67626bd1 |
67626.x |
67626bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.653214$ |
$67419143/169728$ |
$0.85450$ |
$3.85069$ |
$[1, -1, 1, 22054, -2312935]$ |
\(y^2+xy+y=x^3-x^2+22054x-2312935\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 408.24.0.?, 1326.6.0.?, $\ldots$ |
$[]$ |
99450.v4 |
99450v1 |
99450.v |
99450v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$2.786782553$ |
$1$ |
|
$5$ |
$131072$ |
$1.041327$ |
$67419143/169728$ |
$0.85450$ |
$3.08356$ |
$[1, -1, 0, 1908, -59184]$ |
\(y^2+xy=x^3-x^2+1908x-59184\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 340.12.0.?, $\ldots$ |
$[(49, 363)]$ |
127296.x4 |
127296cd1 |
127296.x |
127296cd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{26} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$4.964203513$ |
$1$ |
|
$1$ |
$196608$ |
$1.276329$ |
$67419143/169728$ |
$0.85450$ |
$3.25871$ |
$[0, 0, 0, 4884, 240464]$ |
\(y^2=x^3+4884x+240464\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(73/2, 4635/2)]$ |
127296.y4 |
127296g1 |
127296.y |
127296g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{26} \cdot 3^{7} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.276329$ |
$67419143/169728$ |
$0.85450$ |
$3.25871$ |
$[0, 0, 0, 4884, -240464]$ |
\(y^2=x^3+4884x-240464\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
137904.cu4 |
137904o1 |
137904.cu |
137904o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3 \cdot 13^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$516096$ |
$1.662924$ |
$67419143/169728$ |
$0.85450$ |
$3.62868$ |
$[0, 1, 0, 22928, -2438188]$ |
\(y^2=x^3+x^2+22928x-2438188\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 408.24.0.?, 1326.6.0.?, $\ldots$ |
$[]$ |
160446.w4 |
160446r1 |
160446.w |
160446r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 11^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58344$ |
$48$ |
$0$ |
$3.882560992$ |
$1$ |
|
$3$ |
$184320$ |
$0.886249$ |
$67419143/169728$ |
$0.85450$ |
$2.80524$ |
$[1, 1, 1, 1026, -22725]$ |
\(y^2+xy+y=x^3+x^2+1026x-22725\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 408.12.0.?, $\ldots$ |
$[(117, 1251)]$ |
180336.bf4 |
180336bo1 |
180336.bf |
180336bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$18.96751066$ |
$1$ |
|
$1$ |
$884736$ |
$1.797054$ |
$67419143/169728$ |
$0.85450$ |
$3.68124$ |
$[0, -1, 0, 39208, -5482512]$ |
\(y^2=x^3-x^2+39208x-5482512\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(1729450369/2860, 81760096548697/2860)]$ |
194922.de4 |
194922j1 |
194922.de |
194922j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{6} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$0.589015013$ |
$1$ |
|
$11$ |
$393216$ |
$1.209562$ |
$67419143/169728$ |
$0.85450$ |
$3.07894$ |
$[1, -1, 1, 3739, 160157]$ |
\(y^2+xy+y=x^3-x^2+3739x+160157\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 168.12.0.?, 408.12.0.?, $\ldots$ |
$[(9, 436)]$ |
265200.br4 |
265200br1 |
265200.br |
265200br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{20} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$16.80697751$ |
$1$ |
|
$7$ |
$393216$ |
$1.185167$ |
$67419143/169728$ |
$0.85450$ |
$2.97959$ |
$[0, -1, 0, 3392, -140288]$ |
\(y^2=x^3-x^2+3392x-140288\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(257, 4200), (81, 812)]$ |
293046.cg4 |
293046cg1 |
293046.cg |
293046cg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13^{7} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$5.716491481$ |
$1$ |
|
$3$ |
$6193152$ |
$2.386383$ |
$67419143/169728$ |
$0.85450$ |
$4.10106$ |
$[1, 0, 0, 414131, 187790225]$ |
\(y^2+xy=x^3+414131x+187790225\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(29602, 5079535)]$ |
413712.be4 |
413712be1 |
413712.be |
413712be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$2.147869946$ |
$1$ |
|
$5$ |
$4128768$ |
$2.212231$ |
$67419143/169728$ |
$0.85450$ |
$3.83012$ |
$[0, 0, 0, 206349, 66037426]$ |
\(y^2=x^3+206349x+66037426\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(-130, 6084)]$ |
430950.dn4 |
430950dn1 |
430950.dn |
430950dn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 13^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2752512$ |
$1.774494$ |
$67419143/169728$ |
$0.85450$ |
$3.41318$ |
$[1, 0, 1, 35824, 4779998]$ |
\(y^2+xy+y=x^3+35824x+4779998\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |
478686.cq4 |
478686cq1 |
478686.cq |
478686cq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 17 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13 \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$100776$ |
$48$ |
$0$ |
$8.377699254$ |
$1$ |
|
$1$ |
$921600$ |
$1.159521$ |
$67419143/169728$ |
$0.85450$ |
$2.82152$ |
$[1, 0, 0, 3061, -119055]$ |
\(y^2+xy=x^3+3061x-119055\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 152.12.0.?, 408.12.0.?, $\ldots$ |
$[(12846/11, 1507203/11)]$ |
481338.bi4 |
481338bi1 |
481338.bi |
481338bi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 11^{6} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58344$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1474560$ |
$1.435555$ |
$67419143/169728$ |
$0.85450$ |
$3.07349$ |
$[1, -1, 0, 9234, 622804]$ |
\(y^2+xy=x^3-x^2+9234x+622804\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[]$ |