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 |
405042.a1 |
405042a1 |
405042.a |
405042a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 11 \cdot 17 \cdot 19^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$28424$ |
$12$ |
$0$ |
$12.92607752$ |
$1$ |
|
$9$ |
$26542080$ |
$2.422531$ |
$21858288865318801/75443208192$ |
$0.91060$ |
$4.28215$ |
$[1, 1, 0, -2102832, -1171065600]$ |
\(y^2+xy=x^3+x^2-2102832x-1171065600\) |
2.3.0.a.1, 8.6.0.d.1, 7106.6.0.?, 28424.12.0.? |
$[(-819, 2034), (-6889779/92, 1449618957/92)]$ |
405042.a2 |
405042a2 |
405042.a |
405042a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 11^{2} \cdot 17^{2} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$28424$ |
$12$ |
$0$ |
$12.92607752$ |
$1$ |
|
$10$ |
$53084160$ |
$2.769104$ |
$-3849298428393361/42406303154688$ |
$0.93988$ |
$4.37980$ |
$[1, 1, 0, -1178672, -2205200640]$ |
\(y^2+xy=x^3+x^2-1178672x-2205200640\) |
2.3.0.a.1, 8.6.0.a.1, 14212.6.0.?, 28424.12.0.? |
$[(8909, 828914), (10429, 1053057)]$ |
405042.b1 |
405042b1 |
405042.b |
405042b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{27} \cdot 3^{4} \cdot 11^{5} \cdot 17 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576201600$ |
$4.309196$ |
$-26558413683714326593/29765093352800256$ |
$0.99975$ |
$5.82784$ |
$[1, 1, 0, -1137639884, -25309805222064]$ |
\(y^2+xy=x^3+x^2-1137639884x-25309805222064\) |
1496.2.0.? |
$[]$ |
405042.c1 |
405042c1 |
405042.c |
405042c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{5} \cdot 17^{2} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$0.401917008$ |
$1$ |
|
$16$ |
$5068800$ |
$1.893673$ |
$13365671220850347793/4885975545264$ |
$0.96398$ |
$3.86687$ |
$[1, 1, 0, -352039, 80224069]$ |
\(y^2+xy=x^3+x^2-352039x+80224069\) |
44.2.0.a.1 |
$[(1066, 29761), (175, 4813)]$ |
405042.d1 |
405042d1 |
405042.d |
405042d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{19} \cdot 3^{10} \cdot 11^{3} \cdot 17^{7} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2030495040$ |
$4.954002$ |
$-96607080952282788591335833/16908417776972667027456$ |
$1.01896$ |
$6.47879$ |
$[1, 1, 0, -24571859219, -1691945852217171]$ |
\(y^2+xy=x^3+x^2-24571859219x-1691945852217171\) |
1496.2.0.? |
$[]$ |
405042.e1 |
405042e2 |
405042.e |
405042e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 11^{9} \cdot 17^{6} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2508$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50948352$ |
$3.078255$ |
$605483729668965922116193/165964504762157669964$ |
$1.00850$ |
$4.69721$ |
$[1, 1, 0, -12549564, 12409261236]$ |
\(y^2+xy=x^3+x^2-12549564x+12409261236\) |
3.4.0.a.1, 44.2.0.a.1, 57.8.0-3.a.1.2, 132.8.0.?, 2508.16.0.? |
$[]$ |
405042.e2 |
405042e1 |
405042.e |
405042e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 11^{3} \cdot 17^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2508$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16982784$ |
$2.528950$ |
$28214596526948502954913/9537585784208064$ |
$0.99290$ |
$4.45974$ |
$[1, 1, 0, -4515984, -3694631616]$ |
\(y^2+xy=x^3+x^2-4515984x-3694631616\) |
3.4.0.a.1, 44.2.0.a.1, 57.8.0-3.a.1.1, 132.8.0.?, 2508.16.0.? |
$[]$ |
405042.f1 |
405042f1 |
405042.f |
405042f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{13} \cdot 11 \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2244$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$235602432$ |
$3.884727$ |
$-73125792648518257530073/19538798247936$ |
$0.99600$ |
$5.90176$ |
$[1, 1, 0, -2239366759, -40789275334859]$ |
\(y^2+xy=x^3+x^2-2239366759x-40789275334859\) |
2244.2.0.? |
$[]$ |
405042.g1 |
405042g1 |
405042.g |
405042g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{5} \cdot 11 \cdot 17 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6773760$ |
$1.996780$ |
$81706955619457/744505344$ |
$0.95028$ |
$3.84927$ |
$[1, 1, 0, -326351, -71327835]$ |
\(y^2+xy=x^3+x^2-326351x-71327835\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[]$ |
405042.g2 |
405042g2 |
405042.g |
405042g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{10} \cdot 11^{2} \cdot 17^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13547520$ |
$2.343353$ |
$-2035346265217/264305213568$ |
$1.01228$ |
$3.98290$ |
$[1, 1, 0, -95311, -170074331]$ |
\(y^2+xy=x^3+x^2-95311x-170074331\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[]$ |
405042.h1 |
405042h1 |
405042.h |
405042h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 11^{7} \cdot 17^{3} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14212$ |
$2$ |
$0$ |
$0.400445514$ |
$1$ |
|
$18$ |
$127733760$ |
$3.607616$ |
$-1426910751672457648897/763834328942211648$ |
$0.97010$ |
$5.19150$ |
$[1, 1, 0, -84670391, 416030389461]$ |
\(y^2+xy=x^3+x^2-84670391x+416030389461\) |
14212.2.0.? |
$[(20651, 2723708), (43726/5, 65237461/5)]$ |
405042.i1 |
405042i1 |
405042.i |
405042i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 11^{2} \cdot 17 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3876$ |
$2$ |
$0$ |
$0.898341215$ |
$1$ |
|
$4$ |
$10368000$ |
$2.212566$ |
$1009328859791/54855648144$ |
$0.91255$ |
$3.85994$ |
$[1, 1, 0, 75442, 76909956]$ |
\(y^2+xy=x^3+x^2+75442x+76909956\) |
3876.2.0.? |
$[(1081, 37184)]$ |
405042.j1 |
405042j1 |
405042.j |
405042j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 11 \cdot 17^{7} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$9327636864$ |
$5.699509$ |
$-36638180071535214716882790941569/2924894061144$ |
$1.05992$ |
$7.90931$ |
$[1, 1, 0, -12664325474368, -17346878666447248136]$ |
\(y^2+xy=x^3+x^2-12664325474368x-17346878666447248136\) |
1496.2.0.? |
$[]$ |
405042.k1 |
405042k1 |
405042.k |
405042k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{2} \cdot 17^{3} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3876$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49248000$ |
$3.186462$ |
$-1034315195031091/748864771776$ |
$0.93829$ |
$4.79284$ |
$[1, 1, 0, -14451198, -31731042636]$ |
\(y^2+xy=x^3+x^2-14451198x-31731042636\) |
3876.2.0.? |
$[]$ |
405042.l1 |
405042l1 |
405042.l |
405042l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{10} \cdot 3 \cdot 11^{5} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2244$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34200000$ |
$2.844433$ |
$-27510499699714729/8410727424$ |
$0.93396$ |
$4.75609$ |
$[1, 1, 0, -16165948, 25017716944]$ |
\(y^2+xy=x^3+x^2-16165948x+25017716944\) |
2244.2.0.? |
$[]$ |
405042.m1 |
405042m1 |
405042.m |
405042m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{17} \cdot 11^{4} \cdot 17^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$403273728$ |
$4.326057$ |
$-1865030629883596106812334207124625/9167476588656608673792$ |
$1.05194$ |
$6.38933$ |
$[1, 1, 0, -18259539455, 949684534148421]$ |
\(y^2+xy=x^3+x^2-18259539455x+949684534148421\) |
6.2.0.a.1 |
$[]$ |
405042.n1 |
405042n1 |
405042.n |
405042n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{3} \cdot 17 \cdot 19^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$28424$ |
$12$ |
$0$ |
$8.630080333$ |
$1$ |
|
$9$ |
$15482880$ |
$2.662621$ |
$57923992190610906625/15476868$ |
$0.95024$ |
$4.89262$ |
$[1, 1, 0, -29099495, 60407260641]$ |
\(y^2+xy=x^3+x^2-29099495x+60407260641\) |
2.3.0.a.1, 8.6.0.d.1, 7106.6.0.?, 28424.12.0.? |
$[(3722, 58787), (3112, -1359)]$ |
405042.n2 |
405042n2 |
405042.n |
405042n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 3^{4} \cdot 11^{6} \cdot 17^{2} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$28424$ |
$12$ |
$0$ |
$8.630080333$ |
$1$ |
|
$10$ |
$30965760$ |
$3.009193$ |
$-57902437211588502625/29941680386178$ |
$0.95025$ |
$4.89266$ |
$[1, 1, 0, -29095885, 60423002407]$ |
\(y^2+xy=x^3+x^2-29095885x+60423002407\) |
2.3.0.a.1, 8.6.0.a.1, 14212.6.0.?, 28424.12.0.? |
$[(93, 240199), (59533/4, 3769987/4)]$ |
405042.o1 |
405042o1 |
405042.o |
405042o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11 \cdot 17 \cdot 19^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$28424$ |
$12$ |
$0$ |
$6.584001155$ |
$1$ |
|
$11$ |
$1198080$ |
$1.408342$ |
$34805634625/1151172$ |
$0.86015$ |
$3.24818$ |
$[1, 1, 0, -24555, -1448343]$ |
\(y^2+xy=x^3+x^2-24555x-1448343\) |
2.3.0.a.1, 8.6.0.d.1, 7106.6.0.?, 28424.12.0.? |
$[(-97, 229), (-9776/11, 223769/11)]$ |
405042.o2 |
405042o2 |
405042.o |
405042o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{2} \cdot 17^{2} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$28424$ |
$12$ |
$0$ |
$6.584001155$ |
$1$ |
|
$10$ |
$2396160$ |
$1.754917$ |
$1174241375/227228562$ |
$1.13110$ |
$3.43562$ |
$[1, 1, 0, 7935, -4963761]$ |
\(y^2+xy=x^3+x^2+7935x-4963761\) |
2.3.0.a.1, 8.6.0.a.1, 14212.6.0.?, 28424.12.0.? |
$[(245, 3307), (8985, 847287)]$ |
405042.p1 |
405042p1 |
405042.p |
405042p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{3} \cdot 17 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14212$ |
$2$ |
$0$ |
$1.712590739$ |
$1$ |
|
$4$ |
$3870720$ |
$1.910181$ |
$-2927275422625/990519552$ |
$0.85483$ |
$3.62710$ |
$[1, 1, 0, -107585, -17143179]$ |
\(y^2+xy=x^3+x^2-107585x-17143179\) |
14212.2.0.? |
$[(530, 8399)]$ |
405042.q1 |
405042q1 |
405042.q |
405042q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$7.741104523$ |
$1$ |
|
$1$ |
$1548288$ |
$1.428644$ |
$858729462625/38148$ |
$0.91835$ |
$3.49646$ |
$[1, 1, 0, -71485, -7386071]$ |
\(y^2+xy=x^3+x^2-71485x-7386071\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(36135/7, 6213229/7)]$ |
405042.q2 |
405042q2 |
405042.q |
405042q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$3.870552261$ |
$1$ |
|
$2$ |
$3096576$ |
$1.775217$ |
$-735091890625/181908738$ |
$1.08903$ |
$3.51199$ |
$[1, 1, 0, -67875, -8160777]$ |
\(y^2+xy=x^3+x^2-67875x-8160777\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(2867, 151450)]$ |
405042.r1 |
405042r3 |
405042.r |
405042r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 11 \cdot 17^{12} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$305.2399320$ |
$1$ |
|
$1$ |
$3359232000$ |
$5.296577$ |
$1288985468959742867839173390625/521008832184162328469694528$ |
$1.05794$ |
$6.73790$ |
$[1, 1, 0, -81849363225, -4949341068901851]$ |
\(y^2+xy=x^3+x^2-81849363225x-4949341068901851\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(-5432345512227175100634397921250847156691308729164908817900960037236087084490712324248072994175118932020927575265589254121440710858694/5945594068525356545968234773675785934734413003088450193602178161, 13308387428302945423980701981206744551538459430834280619587688811201379930929916063740488885175026186306853887722234197756820448150033735900484520642681514462412553799748755608110588207894620838320047/5945594068525356545968234773675785934734413003088450193602178161)]$ |
405042.r2 |
405042r1 |
405042.r |
405042r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{3} \cdot 17^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$101.7466440$ |
$1$ |
|
$1$ |
$1119744000$ |
$4.747269$ |
$845285577877816419361168014625/207067603551364841472$ |
$1.02252$ |
$6.70522$ |
$[1, 1, 0, -71110508505, -7298783155111707]$ |
\(y^2+xy=x^3+x^2-71110508505x-7298783155111707\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(202306749264187228239749640283560134998562801627/534571706003870944039, 83221915021153034630181289846402722700478846256237607709057726237627362/534571706003870944039)]$ |
405042.r3 |
405042r2 |
405042.r |
405042r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 11^{6} \cdot 17^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$50.87332200$ |
$1$ |
|
$0$ |
$2239488000$ |
$5.093849$ |
$-835796942408473148965377678625/13234907290443279947776512$ |
$1.02269$ |
$6.70644$ |
$[1, 1, 0, -70843426265, -7356329175290139]$ |
\(y^2+xy=x^3+x^2-70843426265x-7356329175290139\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(6793447964220138179104375/1573395493, 17614617614418592840991616948130677983/1573395493)]$ |
405042.r4 |
405042r4 |
405042.r |
405042r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 11^{2} \cdot 17^{6} \cdot 19^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$152.6199660$ |
$1$ |
|
$0$ |
$6718464000$ |
$5.643150$ |
$44592020208554823618414722561375/37699850268210865000483498248$ |
$1.04188$ |
$7.01235$ |
$[1, 1, 0, 266697133135, -35990404069628547]$ |
\(y^2+xy=x^3+x^2+266697133135x-35990404069628547\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(7702876045979998414007628445167416130543260067547185243553904867538151/53214697056800930878622542467745, 687328041767896942098712068277533184878749884708106872599456208961355601009971967943480331860909721014291/53214697056800930878622542467745)]$ |
405042.s1 |
405042s3 |
405042.s |
405042s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$33.97549796$ |
$1$ |
|
$1$ |
$209018880$ |
$3.913166$ |
$505384091400037554067434625/815656731648$ |
$1.17649$ |
$6.13039$ |
$[1, 1, 0, -5990639055, 178464471262629]$ |
\(y^2+xy=x^3+x^2-5990639055x+178464471262629\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(219130352532872654/2215817, -22803457284577736023599/2215817)]$ |
405042.s2 |
405042s4 |
405042.s |
405042s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 11^{2} \cdot 17^{12} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$16.98774898$ |
$1$ |
|
$0$ |
$418037760$ |
$4.259735$ |
$-505369473241574671219626625/20303219722982711328$ |
$1.10395$ |
$6.13039$ |
$[1, 1, 0, -5990581295, 178468084809093]$ |
\(y^2+xy=x^3+x^2-5990581295x+178468084809093\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(3076308769/235, 54117599843933/235)]$ |
405042.s3 |
405042s1 |
405042.s |
405042s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{30} \cdot 3^{3} \cdot 11^{3} \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$11.32516598$ |
$1$ |
|
$1$ |
$69672960$ |
$3.363857$ |
$959024269496848362625/11151660319506432$ |
$1.02199$ |
$5.11000$ |
$[1, 1, 0, -74166735, 243331899813]$ |
\(y^2+xy=x^3+x^2-74166735x+243331899813\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(8442887/29, 17306203820/29)]$ |
405042.s4 |
405042s2 |
405042.s |
405042s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 11^{6} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5016$ |
$96$ |
$1$ |
$5.662582993$ |
$1$ |
|
$2$ |
$139345920$ |
$3.710430$ |
$-7966267523043306625/3534510366354604032$ |
$1.07621$ |
$5.25349$ |
$[1, 1, 0, -15020495, 620815032741]$ |
\(y^2+xy=x^3+x^2-15020495x+620815032741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(34825, 6489071)]$ |
405042.t1 |
405042t1 |
405042.t |
405042t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{17} \cdot 3^{5} \cdot 11^{3} \cdot 17 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$111628800$ |
$3.418613$ |
$1254050526678625/720681172992$ |
$1.00796$ |
$4.97296$ |
$[1, 1, 0, -41118990, -8476728012]$ |
\(y^2+xy=x^3+x^2-41118990x-8476728012\) |
4488.2.0.? |
$[]$ |
405042.u1 |
405042u1 |
405042.u |
405042u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{13} \cdot 3 \cdot 11 \cdot 17^{7} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4488$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$89631360$ |
$3.405376$ |
$1575568064200515625/110929315504128$ |
$0.99223$ |
$5.06954$ |
$[1, 1, 0, -62313300, 177413503056]$ |
\(y^2+xy=x^3+x^2-62313300x+177413503056\) |
4488.2.0.? |
$[]$ |
405042.v1 |
405042v1 |
405042.v |
405042v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{24} \cdot 3^{12} \cdot 11 \cdot 17^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$6.214171005$ |
$1$ |
|
$2$ |
$286820352$ |
$3.838596$ |
$155542704644131296121/28344283325005824$ |
$1.01970$ |
$5.42521$ |
$[1, 1, 0, -287994977, 1556940461493]$ |
\(y^2+xy=x^3+x^2-287994977x+1556940461493\) |
44.2.0.a.1 |
$[(5699, 314630)]$ |
405042.w1 |
405042w1 |
405042.w |
405042w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 11 \cdot 17 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1.314508517$ |
$1$ |
|
$2$ |
$276480$ |
$0.446427$ |
$-330105601/4362336$ |
$0.84653$ |
$2.22084$ |
$[1, 1, 0, -102, 1908]$ |
\(y^2+xy=x^3+x^2-102x+1908\) |
1496.2.0.? |
$[(3, 39)]$ |
405042.x1 |
405042x1 |
405042.x |
405042x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 11^{3} \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8733312$ |
$2.253365$ |
$-45613703161/234596736$ |
$0.87740$ |
$3.90267$ |
$[1, 1, 0, -191337, -101374587]$ |
\(y^2+xy=x^3+x^2-191337x-101374587\) |
1496.2.0.? |
$[]$ |
405042.y1 |
405042y2 |
405042.y |
405042y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$7.198212959$ |
$1$ |
|
$2$ |
$1368576$ |
$1.414207$ |
$666940371553/37026$ |
$1.02770$ |
$3.47688$ |
$[1, 1, 0, -65709, -6510285]$ |
\(y^2+xy=x^3+x^2-65709x-6510285\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(145785, 55590600)]$ |
405042.y2 |
405042y1 |
405042.y |
405042y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$3.599106479$ |
$1$ |
|
$3$ |
$684288$ |
$1.067635$ |
$192100033/38148$ |
$0.83997$ |
$2.84548$ |
$[1, 1, 0, -4339, -90983]$ |
\(y^2+xy=x^3+x^2-4339x-90983\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-24, 5)]$ |
405042.z1 |
405042z3 |
405042.z |
405042z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{8} \cdot 11^{2} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2584$ |
$48$ |
$0$ |
$23.35612481$ |
$1$ |
|
$0$ |
$74317824$ |
$3.314487$ |
$306234591284035366263793/1727485056$ |
$1.03821$ |
$5.55659$ |
$[1, 1, 0, -506933174, 4392920075220]$ |
\(y^2+xy=x^3+x^2-506933174x+4392920075220\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 152.24.0.?, $\ldots$ |
$[(286700880199/1605, 150358678498071947/1605)]$ |
405042.z2 |
405042z2 |
405042.z |
405042z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2584$ |
$48$ |
$0$ |
$11.67806240$ |
$1$ |
|
$2$ |
$37158912$ |
$2.967915$ |
$74768347616680342513/5615307472896$ |
$1.01338$ |
$4.91239$ |
$[1, 1, 0, -31683894, 68626876500]$ |
\(y^2+xy=x^3+x^2-31683894x+68626876500\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 76.12.0.?, 136.24.0.?, $\ldots$ |
$[(7233693/47, -31615908/47)]$ |
405042.z3 |
405042z4 |
405042.z |
405042z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 11^{8} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2584$ |
$48$ |
$0$ |
$5.839031204$ |
$1$ |
|
$2$ |
$74317824$ |
$3.314487$ |
$-60992553706117024753/20624795251201152$ |
$1.01769$ |
$4.93226$ |
$[1, 1, 0, -29604534, 78025999572]$ |
\(y^2+xy=x^3+x^2-29604534x+78025999572\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 76.12.0.?, 136.24.0.?, $\ldots$ |
$[(2931, 126774)]$ |
405042.z4 |
405042z1 |
405042.z |
405042z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{28} \cdot 3^{2} \cdot 11^{2} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2584$ |
$48$ |
$0$ |
$5.839031204$ |
$1$ |
|
$1$ |
$18579456$ |
$2.621342$ |
$22106889268753393/4969545596928$ |
$0.98677$ |
$4.28302$ |
$[1, 1, 0, -2110774, 922175572]$ |
\(y^2+xy=x^3+x^2-2110774x+922175572\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ |
$[(-14249/3, 487966/3)]$ |
405042.ba1 |
405042ba1 |
405042.ba |
405042ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 3^{4} \cdot 11 \cdot 17 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1496$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2166912$ |
$1.503885$ |
$2828663/30294$ |
$0.77965$ |
$3.19658$ |
$[1, 1, 0, 7574, 1064578]$ |
\(y^2+xy=x^3+x^2+7574x+1064578\) |
1496.2.0.? |
$[]$ |
405042.bb1 |
405042bb1 |
405042.bb |
405042bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$4.539358166$ |
$1$ |
|
$3$ |
$2764800$ |
$1.516588$ |
$832972004929/610368$ |
$1.08401$ |
$3.49410$ |
$[1, 1, 0, -70763, 7211325]$ |
\(y^2+xy=x^3+x^2-70763x+7211325\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-50, 3285)]$ |
405042.bb2 |
405042bb2 |
405042.bb |
405042bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$2.269679083$ |
$1$ |
|
$2$ |
$5529600$ |
$1.863161$ |
$-420021471169/727634952$ |
$0.93771$ |
$3.54831$ |
$[1, 1, 0, -56323, 10258165]$ |
\(y^2+xy=x^3+x^2-56323x+10258165\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(55, 2680)]$ |
405042.bc1 |
405042bc1 |
405042.bc |
405042bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 17^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$18.62401180$ |
$1$ |
|
$1$ |
$12718080$ |
$2.265480$ |
$940299110504209/35819484228$ |
$1.04736$ |
$4.03848$ |
$[1, 1, 0, -736808, -235591860]$ |
\(y^2+xy=x^3+x^2-736808x-235591860\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-204235670/601, 235822545210/601)]$ |
405042.bc2 |
405042bc2 |
405042.bc |
405042bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2 \cdot 3^{6} \cdot 11^{2} \cdot 17^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$9.312005901$ |
$1$ |
|
$0$ |
$25436160$ |
$2.612053$ |
$67672903684751/6644390381442$ |
$0.94651$ |
$4.23182$ |
$[1, 1, 0, 306482, -848003090]$ |
\(y^2+xy=x^3+x^2+306482x-848003090\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(3413845/41, 6154084865/41)]$ |
405042.bd1 |
405042bd1 |
405042.bd |
405042bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 11 \cdot 17^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$44$ |
$2$ |
$0$ |
$4.045275217$ |
$1$ |
|
$2$ |
$8098560$ |
$2.147423$ |
$474504184873/29297664$ |
$0.85803$ |
$3.90660$ |
$[1, 0, 1, -417685, -98236960]$ |
\(y^2+xy+y=x^3-417685x-98236960\) |
44.2.0.a.1 |
$[(-422, 1919)]$ |
405042.be1 |
405042be1 |
405042.be |
405042be |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 11^{3} \cdot 17^{3} \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$4488$ |
$16$ |
$0$ |
$8.117570621$ |
$1$ |
|
$2$ |
$38117952$ |
$2.836491$ |
$-6893541710730073/38136631896$ |
$0.92629$ |
$4.64959$ |
$[1, 0, 1, -10191760, 12582256982]$ |
\(y^2+xy+y=x^3-10191760x+12582256982\) |
3.8.0-3.a.1.2, 1496.2.0.?, 4488.16.0.? |
$[(85486/7, 3336698/7)]$ |
405042.be2 |
405042be2 |
405042.be |
405042be |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 11^{9} \cdot 17 \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$4488$ |
$16$ |
$0$ |
$24.35271186$ |
$1$ |
|
$0$ |
$114353856$ |
$3.385796$ |
$121705044596939447/184712190322176$ |
$0.95937$ |
$4.90870$ |
$[1, 0, 1, 26538185, 67030727450]$ |
\(y^2+xy+y=x^3+26538185x+67030727450\) |
3.8.0-3.a.1.1, 1496.2.0.?, 4488.16.0.? |
$[(53850285421/1820, 13152372707407471/1820)]$ |