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 |
210.c6 |
210c1 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.32 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.302963$ |
$109902239/188160$ |
$0.92835$ |
$3.58834$ |
$[1, 1, 1, 10, -13]$ |
\(y^2+xy+y=x^3+x^2+10x-13\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 30.6.0.a.1, $\ldots$ |
$[]$ |
630.b6 |
630d1 |
630.b |
630d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$0.623656542$ |
$1$ |
|
$9$ |
$256$ |
$0.246343$ |
$109902239/188160$ |
$0.92835$ |
$3.99939$ |
$[1, -1, 0, 90, 436]$ |
\(y^2+xy=x^3-x^2+90x+436\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$ |
$[(5, 29)]$ |
1050.h6 |
1050g1 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.501756$ |
$109902239/188160$ |
$0.92835$ |
$4.14629$ |
$[1, 0, 1, 249, -2102]$ |
\(y^2+xy+y=x^3+249x-2102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$ |
$[]$ |
1470.q6 |
1470p1 |
1470.q |
1470p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.94 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.669991$ |
$109902239/188160$ |
$0.92835$ |
$4.23182$ |
$[1, 0, 0, 489, 5865]$ |
\(y^2+xy=x^3+489x+5865\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.e.2.2, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
1680.q6 |
1680t1 |
1680.q |
1680t |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.48 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.390184$ |
$109902239/188160$ |
$0.92835$ |
$3.70361$ |
$[0, 1, 0, 160, 1140]$ |
\(y^2=x^3+x^2+160x+1140\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.2.5, 30.6.0.a.1, $\ldots$ |
$[]$ |
3150.w6 |
3150bi1 |
3150.w |
3150bi |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.38 |
2B |
$1680$ |
$192$ |
$1$ |
$0.525646346$ |
$1$ |
|
$19$ |
$6144$ |
$1.051062$ |
$109902239/188160$ |
$0.92835$ |
$4.39911$ |
$[1, -1, 1, 2245, 56747]$ |
\(y^2+xy+y=x^3-x^2+2245x+56747\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.e.2.10, 30.6.0.a.1, $\ldots$ |
$[(3, 250)]$ |
4410.l6 |
4410t1 |
4410.l |
4410t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.219297$ |
$109902239/188160$ |
$0.92835$ |
$4.46330$ |
$[1, -1, 0, 4401, -158355]$ |
\(y^2+xy=x^3-x^2+4401x-158355\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
5040.i6 |
5040bg1 |
5040.i |
5040bg |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$0.924810007$ |
$1$ |
|
$7$ |
$6144$ |
$0.939490$ |
$109902239/188160$ |
$0.92835$ |
$3.99954$ |
$[0, 0, 0, 1437, -29342]$ |
\(y^2=x^3+1437x-29342\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$ |
$[(23, 126)]$ |
6720.k6 |
6720bg1 |
6720.k |
6720bg |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.185 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.736757$ |
$109902239/188160$ |
$0.92835$ |
$3.59293$ |
$[0, -1, 0, 639, 8481]$ |
\(y^2=x^3-x^2+639x+8481\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.e.2.8, 30.6.0.a.1, $\ldots$ |
$[]$ |
6720.bp6 |
6720u1 |
6720.bp |
6720u |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.194 |
2B |
$1680$ |
$192$ |
$1$ |
$3.931825418$ |
$1$ |
|
$1$ |
$6144$ |
$0.736757$ |
$109902239/188160$ |
$0.92835$ |
$3.59293$ |
$[0, 1, 0, 639, -8481]$ |
\(y^2=x^3+x^2+639x-8481\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.2.6, 30.6.0.a.1, $\ldots$ |
$[(53/2, 399/2)]$ |
7350.p6 |
7350g1 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.474710$ |
$109902239/188160$ |
$0.92835$ |
$4.55148$ |
$[1, 1, 0, 12225, 733125]$ |
\(y^2+xy=x^3+x^2+12225x+733125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
8400.p6 |
8400bp1 |
8400.p |
8400bp |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{20} \cdot 3 \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1.852963381$ |
$1$ |
|
$5$ |
$18432$ |
$1.194902$ |
$109902239/188160$ |
$0.92835$ |
$4.11263$ |
$[0, -1, 0, 3992, 134512]$ |
\(y^2=x^3-x^2+3992x+134512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$ |
$[(-3, 350)]$ |
11760.b6 |
11760br1 |
11760.b |
11760br |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.166 |
2B |
$1680$ |
$192$ |
$1$ |
$5.233155985$ |
$1$ |
|
$3$ |
$36864$ |
$1.363138$ |
$109902239/188160$ |
$0.92835$ |
$4.18038$ |
$[0, -1, 0, 7824, -375360]$ |
\(y^2=x^3-x^2+7824x-375360\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.e.2.4, 28.12.0-4.c.1.1, $\ldots$ |
$[(1265, 45080)]$ |
20160.cy6 |
20160ev1 |
20160.cy |
20160ev |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.286064$ |
$109902239/188160$ |
$0.92835$ |
$3.85973$ |
$[0, 0, 0, 5748, -234736]$ |
\(y^2=x^3+5748x-234736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.11, $\ldots$ |
$[]$ |
20160.fi6 |
20160cm1 |
20160.fi |
20160cm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.286064$ |
$109902239/188160$ |
$0.92835$ |
$3.85973$ |
$[0, 0, 0, 5748, 234736]$ |
\(y^2=x^3+5748x+234736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.9, $\ldots$ |
$[]$ |
22050.df6 |
22050er1 |
22050.df |
22050er |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.95 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.024017$ |
$109902239/188160$ |
$0.92835$ |
$4.71060$ |
$[1, -1, 1, 110020, -19684353]$ |
\(y^2+xy+y=x^3-x^2+110020x-19684353\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.e.2.15, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
25200.fq6 |
25200er1 |
25200.fq |
25200er |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.54 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.744209$ |
$109902239/188160$ |
$0.92835$ |
$4.31722$ |
$[0, 0, 0, 35925, -3667750]$ |
\(y^2=x^3+35925x-3667750\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.e.2.12, 30.6.0.a.1, $\ldots$ |
$[]$ |
25410.n6 |
25410n1 |
25410.n |
25410n |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$18480$ |
$192$ |
$1$ |
$2.464662251$ |
$1$ |
|
$5$ |
$40960$ |
$0.895985$ |
$109902239/188160$ |
$0.92835$ |
$3.31016$ |
$[1, 1, 0, 1208, 23104]$ |
\(y^2+xy=x^3+x^2+1208x+23104\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(0, 152)]$ |
33600.j6 |
33600l1 |
33600.j |
33600l |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{26} \cdot 3 \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1.782544510$ |
$1$ |
|
$3$ |
$147456$ |
$1.541477$ |
$109902239/188160$ |
$0.92835$ |
$3.96463$ |
$[0, -1, 0, 15967, -1092063]$ |
\(y^2=x^3-x^2+15967x-1092063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.6, $\ldots$ |
$[(147, 2100)]$ |
33600.he6 |
33600gt1 |
33600.he |
33600gt |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{26} \cdot 3 \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.541477$ |
$109902239/188160$ |
$0.92835$ |
$3.96463$ |
$[0, 1, 0, 15967, 1092063]$ |
\(y^2=x^3+x^2+15967x+1092063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.2, $\ldots$ |
$[]$ |
35280.fp6 |
35280fq1 |
35280.fp |
35280fq |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$6.933591225$ |
$1$ |
|
$3$ |
$294912$ |
$1.912445$ |
$109902239/188160$ |
$0.92835$ |
$4.37130$ |
$[0, 0, 0, 70413, 10064306]$ |
\(y^2=x^3+70413x+10064306\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.4, $\ldots$ |
$[(16265, 2074624)]$ |
35490.a6 |
35490b1 |
35490.a |
35490b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$2.786551811$ |
$1$ |
|
$5$ |
$73728$ |
$0.979511$ |
$109902239/188160$ |
$0.92835$ |
$3.30027$ |
$[1, 1, 0, 1687, -36603]$ |
\(y^2+xy=x^3+x^2+1687x-36603\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(34, 231)]$ |
47040.cd6 |
47040bq1 |
47040.cd |
47040bq |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.174 |
2B |
$1680$ |
$192$ |
$1$ |
$7.162970994$ |
$1$ |
|
$1$ |
$294912$ |
$1.709713$ |
$109902239/188160$ |
$0.92835$ |
$4.02829$ |
$[0, -1, 0, 31295, 2971585]$ |
\(y^2=x^3-x^2+31295x+2971585\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.e.2.3, 30.6.0.a.1, $\ldots$ |
$[(7017/4, 642733/4)]$ |
47040.hb6 |
47040hc1 |
47040.hb |
47040hc |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.114 |
2B |
$1680$ |
$192$ |
$1$ |
$19.32950212$ |
$1$ |
|
$1$ |
$294912$ |
$1.709713$ |
$109902239/188160$ |
$0.92835$ |
$4.02829$ |
$[0, 1, 0, 31295, -2971585]$ |
\(y^2=x^3+x^2+31295x-2971585\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.e.2.1, 30.6.0.a.1, $\ldots$ |
$[(1006190137/2392, 38713343830413/2392)]$ |
58800.fr6 |
58800iz1 |
58800.fr |
58800iz |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.167858$ |
$109902239/188160$ |
$0.92835$ |
$4.44706$ |
$[0, 1, 0, 195592, -46528812]$ |
\(y^2=x^3+x^2+195592x-46528812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.4, $\ldots$ |
$[]$ |
60690.bt6 |
60690bu1 |
60690.bt |
60690bu |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$28560$ |
$192$ |
$1$ |
$1.473485866$ |
$1$ |
|
$3$ |
$163840$ |
$1.113644$ |
$109902239/188160$ |
$0.92835$ |
$3.28564$ |
$[1, 0, 0, 2884, -83184]$ |
\(y^2+xy=x^3+2884x-83184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(330, 5904)]$ |
75810.bv6 |
75810bu1 |
75810.bv |
75810bu |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$31920$ |
$192$ |
$1$ |
$3.702752581$ |
$1$ |
|
$3$ |
$221184$ |
$1.169256$ |
$109902239/188160$ |
$0.92835$ |
$3.27999$ |
$[1, 0, 1, 3602, 116768]$ |
\(y^2+xy+y=x^3+3602x+116768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(117, 1405)]$ |
76230.de6 |
76230dk1 |
76230.de |
76230dk |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.445290$ |
$109902239/188160$ |
$0.92835$ |
$3.57303$ |
$[1, -1, 1, 10867, -612939]$ |
\(y^2+xy+y=x^3-x^2+10867x-612939\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
100800.gs6 |
100800dy1 |
100800.gs |
100800dy |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.203 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.090782$ |
$109902239/188160$ |
$0.92835$ |
$4.15872$ |
$[0, 0, 0, 143700, 29342000]$ |
\(y^2=x^3+143700x+29342000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 16.48.0-16.e.2.11, 30.6.0.a.1, $\ldots$ |
$[]$ |
100800.iz6 |
100800nx1 |
100800.iz |
100800nx |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.188 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.090782$ |
$109902239/188160$ |
$0.92835$ |
$4.15872$ |
$[0, 0, 0, 143700, -29342000]$ |
\(y^2=x^3+143700x-29342000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.e.2.9, 30.6.0.a.1, $\ldots$ |
$[]$ |
106470.fi6 |
106470fh1 |
106470.fi |
106470fh |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.528818$ |
$109902239/188160$ |
$0.92835$ |
$3.55649$ |
$[1, -1, 1, 15178, 1003461]$ |
\(y^2+xy+y=x^3-x^2+15178x+1003461\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
111090.bn6 |
111090br1 |
111090.bn |
111090br |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$38640$ |
$192$ |
$1$ |
$0.889172087$ |
$1$ |
|
$7$ |
$360448$ |
$1.264784$ |
$109902239/188160$ |
$0.92835$ |
$3.27078$ |
$[1, 1, 1, 5279, 208799]$ |
\(y^2+xy+y=x^3+x^2+5279x+208799\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(13, 522)]$ |
127050.is6 |
127050hy1 |
127050.is |
127050hy |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$18480$ |
$192$ |
$1$ |
$3.217882744$ |
$1$ |
|
$3$ |
$983040$ |
$1.700703$ |
$109902239/188160$ |
$0.92835$ |
$3.67852$ |
$[1, 0, 0, 30187, 2827617]$ |
\(y^2+xy=x^3+30187x+2827617\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(822, 23739)]$ |
141120.bb6 |
141120dd1 |
141120.bb |
141120dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{26} \cdot 3^{7} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.259018$ |
$109902239/188160$ |
$0.92835$ |
$4.21097$ |
$[0, 0, 0, 281652, 80514448]$ |
\(y^2=x^3+281652x+80514448\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.7, $\ldots$ |
$[]$ |
141120.gv6 |
141120mu1 |
141120.gv |
141120mu |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{26} \cdot 3^{7} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$15.08549947$ |
$1$ |
|
$1$ |
$2359296$ |
$2.259018$ |
$109902239/188160$ |
$0.92835$ |
$4.21097$ |
$[0, 0, 0, 281652, -80514448]$ |
\(y^2=x^3+281652x-80514448\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.3, $\ldots$ |
$[(73851841/58, 634844262591/58)]$ |
176400.rj6 |
176400gp1 |
176400.rj |
176400gp |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.167 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.717163$ |
$109902239/188160$ |
$0.92835$ |
$4.58828$ |
$[0, 0, 0, 1760325, 1258038250]$ |
\(y^2=x^3+1760325x+1258038250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.e.2.13, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
176610.bs6 |
176610by1 |
176610.bs |
176610by |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$48720$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$774144$ |
$1.380684$ |
$109902239/188160$ |
$0.92835$ |
$3.26039$ |
$[1, 0, 1, 8392, -413434]$ |
\(y^2+xy+y=x^3+8392x-413434\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
177450.jl6 |
177450x1 |
177450.jl |
177450x |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.784231$ |
$109902239/188160$ |
$0.92835$ |
$3.65977$ |
$[1, 0, 0, 42162, -4659708]$ |
\(y^2+xy=x^3+42162x-4659708\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
177870.cp6 |
177870ge1 |
177870.cp |
177870ge |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1966080$ |
$1.868938$ |
$109902239/188160$ |
$0.92835$ |
$3.74314$ |
$[1, 0, 1, 59166, -7747148]$ |
\(y^2+xy+y=x^3+59166x-7747148\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
182070.bf6 |
182070cw1 |
182070.bf |
182070cw |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$28560$ |
$192$ |
$1$ |
$1.150435817$ |
$1$ |
|
$7$ |
$1310720$ |
$1.662949$ |
$109902239/188160$ |
$0.92835$ |
$3.53184$ |
$[1, -1, 0, 25956, 2245968]$ |
\(y^2+xy=x^3-x^2+25956x+2245968\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(-21, 1311)]$ |
201810.cr6 |
201810a1 |
201810.cr |
201810a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$52080$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$1.414030$ |
$109902239/188160$ |
$0.92835$ |
$3.25755$ |
$[1, 0, 0, 9590, 506660]$ |
\(y^2+xy=x^3+9590x+506660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
203280.hb6 |
203280j1 |
203280.hb |
203280j |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$983040$ |
$1.589132$ |
$109902239/188160$ |
$0.92835$ |
$3.42753$ |
$[0, 1, 0, 19320, -1440012]$ |
\(y^2=x^3+x^2+19320x-1440012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
227430.ec6 |
227430be1 |
227430.ec |
227430be |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$31920$ |
$192$ |
$1$ |
$0.851954922$ |
$1$ |
|
$9$ |
$1769472$ |
$1.718563$ |
$109902239/188160$ |
$0.92835$ |
$3.52225$ |
$[1, -1, 1, 32422, -3152743]$ |
\(y^2+xy+y=x^3-x^2+32422x-3152743\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(195, 3151)]$ |
235200.ms6 |
235200ms1 |
235200.ms |
235200ms |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$17.53101344$ |
$1$ |
|
$1$ |
$7077888$ |
$2.514431$ |
$109902239/188160$ |
$0.92835$ |
$4.28486$ |
$[0, -1, 0, 782367, -373012863]$ |
\(y^2=x^3-x^2+782367x-373012863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.7, $\ldots$ |
$[(1434423437/86, 54327465485825/86)]$ |
235200.qt6 |
235200qt1 |
235200.qt |
235200qt |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$17.59699781$ |
$1$ |
|
$1$ |
$7077888$ |
$2.514431$ |
$109902239/188160$ |
$0.92835$ |
$4.28486$ |
$[0, 1, 0, 782367, 373012863]$ |
\(y^2=x^3+x^2+782367x+373012863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.3, $\ldots$ |
$[(1463728697/368, 56198397443475/368)]$ |
248430.ec6 |
248430ec1 |
248430.ec |
248430ec |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$28.80811790$ |
$1$ |
|
$3$ |
$3538944$ |
$1.952467$ |
$109902239/188160$ |
$0.92835$ |
$3.72315$ |
$[1, 0, 1, 82637, 12802766]$ |
\(y^2+xy+y=x^3+82637x+12802766\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(312, 8149), (18439/3, 2502688/3)]$ |
283920.gf6 |
283920gf1 |
283920.gf |
283920gf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$1.672659$ |
$109902239/188160$ |
$0.92835$ |
$3.41615$ |
$[0, 1, 0, 26984, 2396564]$ |
\(y^2=x^3+x^2+26984x+2396564\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
287490.m6 |
287490m1 |
287490.m |
287490m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$62160$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1658880$ |
$1.502495$ |
$109902239/188160$ |
$0.92835$ |
$3.25029$ |
$[1, 1, 0, 13662, -854412]$ |
\(y^2+xy=x^3+x^2+13662x-854412\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
303450.bb6 |
303450bb1 |
303450.bb |
303450bb |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$28560$ |
$192$ |
$1$ |
$3.249845854$ |
$1$ |
|
$13$ |
$3932160$ |
$1.918362$ |
$109902239/188160$ |
$0.92835$ |
$3.63173$ |
$[1, 1, 0, 72100, -10398000]$ |
\(y^2+xy=x^3+x^2+72100x-10398000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[(205, 3510), (21880, 3225860)]$ |
333270.bv6 |
333270bv1 |
333270.bv |
333270bv |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$38640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2883584$ |
$1.814091$ |
$109902239/188160$ |
$0.92835$ |
$3.50656$ |
$[1, -1, 0, 47511, -5590067]$ |
\(y^2+xy=x^3-x^2+47511x-5590067\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 30.6.0.a.1, $\ldots$ |
$[]$ |