| 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 |
| 74529.a1 |
74529br1 |
74529.a |
74529br |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
9.9.0.1 |
3Nn |
$1638$ |
$36$ |
$3$ |
$0.424289916$ |
$1$ |
|
$16$ |
$36864$ |
$0.395389$ |
$-4096$ |
$0.71571$ |
$2.56655$ |
$[0, 0, 1, -273, 2070]$ |
\(y^2+y=x^3-273x+2070\) |
3.3.0.a.1, 9.9.0.a.1, 39.6.0.b.1, 42.6.0.b.1, 117.18.0.?, $\ldots$ |
$[(0, 45), (14, 31)]$ |
| 74529.b1 |
74529bh1 |
74529.b |
74529bh |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.113614458$ |
$1$ |
|
$4$ |
$3096576$ |
$2.596523$ |
$-2019487744/361179$ |
$0.90207$ |
$4.93382$ |
$[0, 0, 1, -1962597, 1210800204]$ |
\(y^2+y=x^3-1962597x+1210800204\) |
182.2.0.? |
$[(-91, 37264)]$ |
| 74529.c1 |
74529bq1 |
74529.c |
74529bq |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
9.9.0.1 |
3Nn |
$1638$ |
$36$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.368343$ |
$-4096$ |
$0.71571$ |
$3.60724$ |
$[0, 0, 1, -13377, -710096]$ |
\(y^2+y=x^3-13377x-710096\) |
3.3.0.a.1, 9.9.0.a.1, 39.6.0.b.1, 42.6.0.b.1, 117.18.0.?, $\ldots$ |
$[]$ |
| 74529.d1 |
74529bi1 |
74529.d |
74529bi |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{7} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.034688456$ |
$1$ |
|
$4$ |
$1032192$ |
$1.868406$ |
$110592/91$ |
$0.71571$ |
$4.03518$ |
$[0, 0, 1, 74529, 5086604]$ |
\(y^2+y=x^3+74529x+5086604\) |
182.2.0.? |
$[(1092, 37264)]$ |
| 74529.e1 |
74529bs2 |
74529.e |
74529bs |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{11} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2730$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$59904000$ |
$4.007896$ |
$-13383627864961024/151263$ |
$1.15507$ |
$6.99571$ |
$[0, 0, 1, -4792388601, 127695666013438]$ |
\(y^2+y=x^3-4792388601x+127695666013438\) |
5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 182.2.0.?, 390.24.0.?, $\ldots$ |
$[]$ |
| 74529.e2 |
74529bs1 |
74529.e |
74529bs |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{16} \cdot 7^{7} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2730$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11980800$ |
$3.203175$ |
$5451776/413343$ |
$1.25184$ |
$5.50237$ |
$[0, 0, 1, 3552549, 29386819894]$ |
\(y^2+y=x^3+3552549x+29386819894\) |
5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 182.2.0.?, 390.24.0.?, $\ldots$ |
$[]$ |
| 74529.f1 |
74529be1 |
74529.f |
74529be |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{2} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.798227927$ |
$1$ |
|
$4$ |
$774144$ |
$1.844679$ |
$17999471/177957$ |
$0.93225$ |
$4.04288$ |
$[1, -1, 1, 30388, -8184900]$ |
\(y^2+xy+y=x^3-x^2+30388x-8184900\) |
52.2.0.a.1 |
$[(452, 9660)]$ |
| 74529.g1 |
74529o1 |
74529.g |
74529o |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1009008$ |
$2.254253$ |
$2457$ |
$0.71571$ |
$4.50000$ |
$[1, -1, 1, -423884, 57966094]$ |
\(y^2+xy+y=x^3-x^2-423884x+57966094\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 182.6.0.?, 1092.12.0.? |
$[]$ |
| 74529.h1 |
74529bm2 |
74529.h |
74529bm |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{12} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$1.973375$ |
$22665187/729$ |
$0.93405$ |
$4.34409$ |
$[1, -1, 1, -236606, 43108706]$ |
\(y^2+xy+y=x^3-x^2-236606x+43108706\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 74529.h2 |
74529bm1 |
74529.h |
74529bm |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$1.626802$ |
$79507/27$ |
$0.86742$ |
$3.84023$ |
$[1, -1, 1, -35951, -1677490]$ |
\(y^2+xy+y=x^3-x^2-35951x-1677490\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 74529.i1 |
74529bb2 |
74529.i |
74529bb |
$2$ |
$7$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{20} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$2184$ |
$192$ |
$6$ |
$21.97283010$ |
$1$ |
|
$0$ |
$6289920$ |
$3.195103$ |
$-276301129/4782969$ |
$1.06787$ |
$5.49561$ |
$[1, -1, 1, -5591228, -28291590232]$ |
\(y^2+xy+y=x^3-x^2-5591228x-28291590232\) |
4.2.0.a.1, 7.8.0.a.1, 21.16.0-7.a.1.2, 28.16.0.a.1, 56.32.0-28.a.1.1, $\ldots$ |
$[(61798663686/2335, 14798660455056004/2335)]$ |
| 74529.i2 |
74529bb1 |
74529.i |
74529bb |
$2$ |
$7$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$2184$ |
$192$ |
$6$ |
$3.138975729$ |
$1$ |
|
$2$ |
$898560$ |
$2.222149$ |
$-658489/9$ |
$0.91436$ |
$4.65354$ |
$[1, -1, 1, -746843, 251526188]$ |
\(y^2+xy+y=x^3-x^2-746843x+251526188\) |
4.2.0.a.1, 7.8.0.a.1, 21.16.0-7.a.1.1, 28.16.0.a.1, 56.32.0-28.a.1.1, $\ldots$ |
$[(618, 4762)]$ |
| 74529.j1 |
74529j1 |
74529.j |
74529j |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 7^{7} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$2.169338$ |
$421875/91$ |
$0.93663$ |
$4.44829$ |
$[1, -1, 1, -349355, 63034066]$ |
\(y^2+xy+y=x^3-x^2-349355x+63034066\) |
2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? |
$[]$ |
| 74529.j2 |
74529j2 |
74529.j |
74529j |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.515911$ |
$4492125/8281$ |
$0.90809$ |
$4.72882$ |
$[1, -1, 1, 768580, 383210650]$ |
\(y^2+xy+y=x^3-x^2+768580x+383210650\) |
2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? |
$[]$ |
| 74529.k1 |
74529bl2 |
74529.k |
74529bl |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{12} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.000422$ |
$22665187/729$ |
$0.93405$ |
$3.30339$ |
$[1, -1, 1, -4829, -124302]$ |
\(y^2+xy+y=x^3-x^2-4829x-124302\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 74529.k2 |
74529bl1 |
74529.k |
74529bl |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.653847$ |
$79507/27$ |
$0.86742$ |
$2.79954$ |
$[1, -1, 1, -734, 5100]$ |
\(y^2+xy+y=x^3-x^2-734x+5100\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 74529.l1 |
74529bc6 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$4368$ |
$192$ |
$1$ |
$21.91753817$ |
$1$ |
|
$0$ |
$3538944$ |
$2.878941$ |
$53297461115137/147$ |
$1.05087$ |
$5.81728$ |
$[1, -1, 1, -58432289, -171905809890]$ |
\(y^2+xy+y=x^3-x^2-58432289x-171905809890\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(279045806649/2200, 145729352296110207/2200)]$ |
| 74529.l2 |
74529bc4 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$10.95876908$ |
$1$ |
|
$2$ |
$1769472$ |
$2.532368$ |
$13027640977/21609$ |
$1.08149$ |
$5.07598$ |
$[1, -1, 1, -3653474, -2683094592]$ |
\(y^2+xy+y=x^3-x^2-3653474x-2683094592\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(-409141/19, -2393190/19)]$ |
| 74529.l3 |
74529bc3 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$2.739692272$ |
$1$ |
|
$6$ |
$1769472$ |
$2.532368$ |
$6570725617/45927$ |
$1.00160$ |
$5.01497$ |
$[1, -1, 1, -2908184, 1898053980]$ |
\(y^2+xy+y=x^3-x^2-2908184x+1898053980\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(920, 300)]$ |
| 74529.l4 |
74529bc5 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$5.479384544$ |
$1$ |
|
$0$ |
$3538944$ |
$2.878941$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.16211$ |
$[1, -1, 1, -2535539, -4356866874]$ |
\(y^2+xy+y=x^3-x^2-2535539x-4356866874\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(67253/4, 15442023/4)]$ |
| 74529.l5 |
74529bc2 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$5.479384544$ |
$1$ |
|
$6$ |
$884736$ |
$2.185795$ |
$7189057/3969$ |
$1.14862$ |
$4.40727$ |
$[1, -1, 1, -299669, -13465812]$ |
\(y^2+xy+y=x^3-x^2-299669x-13465812\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-514, 2394)]$ |
| 74529.l6 |
74529bc1 |
74529.l |
74529bc |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$10.95876908$ |
$1$ |
|
$1$ |
$442368$ |
$1.839220$ |
$103823/63$ |
$0.97868$ |
$4.02955$ |
$[1, -1, 1, 72976, -1690230]$ |
\(y^2+xy+y=x^3-x^2+72976x-1690230\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(17624/25, 9522393/25)]$ |
| 74529.m1 |
74529bd1 |
74529.m |
74529bd |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$3.429137788$ |
$1$ |
|
$0$ |
$144144$ |
$1.281298$ |
$2457$ |
$0.71571$ |
$3.45931$ |
$[1, -1, 1, -8651, -166526]$ |
\(y^2+xy+y=x^3-x^2-8651x-166526\) |
2.2.0.a.1, 84.4.0.?, 182.6.0.?, 1092.12.0.? |
$[(-716/3, 4187/3)]$ |
| 74529.n1 |
74529p1 |
74529.n |
74529p |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.817635$ |
$17999471/177957$ |
$0.93225$ |
$5.08358$ |
$[1, -1, 1, 1489027, 2804442554]$ |
\(y^2+xy+y=x^3-x^2+1489027x+2804442554\) |
52.2.0.a.1 |
$[]$ |
| 74529.o1 |
74529u1 |
74529.o |
74529u |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 7^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.616614964$ |
$1$ |
|
$0$ |
$1806336$ |
$2.733425$ |
$32768/9477$ |
$1.07768$ |
$5.00082$ |
$[0, 0, 1, 347802, 1763167747]$ |
\(y^2+y=x^3+347802x+1763167747\) |
182.2.0.? |
$[(23569/2, 3651917/2)]$ |
| 74529.p1 |
74529s2 |
74529.p |
74529s |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$7.585475464$ |
$1$ |
|
$0$ |
$191808$ |
$1.433643$ |
$-205514702848000/27$ |
$1.10656$ |
$4.32928$ |
$[0, 0, 1, -223860, -40767386]$ |
\(y^2+y=x^3-223860x-40767386\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 273.8.0.?, $\ldots$ |
$[(9097/4, 253957/4)]$ |
| 74529.p2 |
74529s1 |
74529.p |
74529s |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$2.528491821$ |
$1$ |
|
$2$ |
$63936$ |
$0.884338$ |
$-372736000/19683$ |
$0.99494$ |
$3.15868$ |
$[0, 0, 1, -2730, -57353]$ |
\(y^2+y=x^3-2730x-57353\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 273.8.0.?, $\ldots$ |
$[(415, 8383)]$ |
| 74529.q1 |
74529l2 |
74529.q |
74529l |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1342656$ |
$2.406601$ |
$-205514702848000/27$ |
$1.10656$ |
$5.36997$ |
$[0, 0, 1, -10969140, 13983213312]$ |
\(y^2+y=x^3-10969140x+13983213312\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 74529.q2 |
74529l1 |
74529.q |
74529l |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$447552$ |
$1.857294$ |
$-372736000/19683$ |
$0.99494$ |
$4.19938$ |
$[0, 0, 1, -133770, 19671993]$ |
\(y^2+y=x^3-133770x+19671993\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 74529.r1 |
74529h1 |
74529.r |
74529h |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$13$ |
13.273.11.1 |
13Ns.5.1.4 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$235872$ |
$1.636457$ |
$0$ |
|
$3.82796$ |
$[0, 0, 1, 0, -2449106]$ |
\(y^2+y=x^3-2449106\) |
|
$[]$ |
| 74529.r2 |
74529h2 |
74529.r |
74529h |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$13$ |
13.273.11.1 |
13Ns.5.1.4 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$707616$ |
$2.185764$ |
$0$ |
|
$4.41550$ |
$[0, 0, 1, 0, 66125855]$ |
\(y^2+y=x^3+66125855\) |
|
$[]$ |
| 74529.s1 |
74529f1 |
74529.s |
74529f |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$296352$ |
$1.857601$ |
$0$ |
|
$4.06450$ |
$[0, 0, 1, 0, -9231245]$ |
\(y^2+y=x^3-9231245\) |
|
$[]$ |
| 74529.s2 |
74529f2 |
74529.s |
74529f |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$889056$ |
$2.406910$ |
$0$ |
|
$4.65204$ |
$[0, 0, 1, 0, 249243608]$ |
\(y^2+y=x^3+249243608\) |
|
$[]$ |
| 74529.t1 |
74529e1 |
74529.t |
74529e |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$123552$ |
$1.415312$ |
$0$ |
|
$3.59141$ |
$[0, 0, 1, 0, -649763]$ |
\(y^2+y=x^3-649763\) |
|
$[]$ |
| 74529.t2 |
74529e2 |
74529.t |
74529e |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$370656$ |
$1.964619$ |
$0$ |
|
$4.17896$ |
$[0, 0, 1, 0, 17543594]$ |
\(y^2+y=x^3+17543594\) |
|
$[]$ |
| 74529.u1 |
74529b2 |
74529.u |
74529b |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1.274819047$ |
$1$ |
|
$4$ |
$199584$ |
$1.655098$ |
$0$ |
|
$3.84789$ |
$[0, 0, 1, 0, -2738941]$ |
\(y^2+y=x^3-2738941\) |
|
$[(147, 661)]$ |
| 74529.u2 |
74529b1 |
74529.u |
74529b |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$3.824457141$ |
$1$ |
|
$4$ |
$66528$ |
$1.105793$ |
$0$ |
|
$3.26035$ |
$[0, 0, 1, 0, 101442]$ |
\(y^2+y=x^3+101442\) |
|
$[(-40, 193)]$ |
| 74529.v1 |
74529a2 |
74529.v |
74529a |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$42.44750362$ |
$1$ |
|
$0$ |
$2594592$ |
$2.937572$ |
$0$ |
|
$5.21965$ |
$[0, 0, 1, 0, -6017452828]$ |
\(y^2+y=x^3-6017452828\) |
|
$[(8387405235209805960/65901883, 9853567171508932721751184321/65901883)]$ |
| 74529.v2 |
74529a1 |
74529.v |
74529a |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$14.14916787$ |
$1$ |
|
$0$ |
$864864$ |
$2.388268$ |
$0$ |
|
$4.63211$ |
$[0, 0, 1, 0, 222868623]$ |
\(y^2+y=x^3+222868623\) |
|
$[(1607363/41, 2282827265/41)]$ |
| 74529.w1 |
74529d1 |
74529.w |
74529d |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$9504$ |
$0.132837$ |
$0$ |
|
$2.21965$ |
$[0, 0, 1, 0, -296]$ |
\(y^2+y=x^3-296\) |
|
$[]$ |
| 74529.w2 |
74529d2 |
74529.w |
74529d |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$28512$ |
$0.682143$ |
$0$ |
|
$2.80720$ |
$[0, 0, 1, 0, 7985]$ |
\(y^2+y=x^3+7985\) |
|
$[]$ |
| 74529.x1 |
74529c2 |
74529.x |
74529c |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$10.47850527$ |
$1$ |
|
$0$ |
$127008$ |
$1.433952$ |
$0$ |
|
$3.61135$ |
$[0, 0, 1, 0, -726658]$ |
\(y^2+y=x^3-726658\) |
|
$[(132042/29, 43230506/29)]$ |
| 74529.x2 |
74529c1 |
74529.x |
74529c |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$3.492835092$ |
$1$ |
|
$2$ |
$42336$ |
$0.884647$ |
$0$ |
|
$3.02380$ |
$[0, 0, 1, 0, 26913]$ |
\(y^2+y=x^3+26913\) |
|
$[(29, 226)]$ |
| 74529.y1 |
74529g1 |
74529.y |
74529g |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$13$ |
13.273.11.1 |
13Ns.5.1.4 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$18144$ |
$0.353982$ |
$0$ |
|
$2.45620$ |
$[0, 0, 1, 0, -1115]$ |
\(y^2+y=x^3-1115\) |
|
$[]$ |
| 74529.y2 |
74529g2 |
74529.y |
74529g |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$13$ |
13.273.11.1 |
13Ns.5.1.4 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$54432$ |
$0.903289$ |
$0$ |
|
$3.04374$ |
$[0, 0, 1, 0, 30098]$ |
\(y^2+y=x^3+30098\) |
|
$[]$ |
| 74529.z1 |
74529r2 |
74529.z |
74529r |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$43.71913648$ |
$1$ |
|
$0$ |
$2493504$ |
$2.716118$ |
$-205514702848000/27$ |
$1.10656$ |
$5.70104$ |
$[0, 0, 1, -37832340, -89565946493]$ |
\(y^2+y=x^3-37832340x-89565946493\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(60543937616976211759/40488505, 464088213269766270943733976277/40488505)]$ |
| 74529.z2 |
74529r1 |
74529.z |
74529r |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$14.57304549$ |
$1$ |
|
$0$ |
$831168$ |
$2.166813$ |
$-372736000/19683$ |
$0.99494$ |
$4.53044$ |
$[0, 0, 1, -461370, -126003992]$ |
\(y^2+y=x^3-461370x-126003992\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(61058152/193, 426649041688/193)]$ |
| 74529.ba1 |
74529k2 |
74529.ba |
74529k |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$1638$ |
$144$ |
$2$ |
$1$ |
$9$ |
$3$ |
$2$ |
$17454528$ |
$3.689075$ |
$-205514702848000/27$ |
$1.10656$ |
$6.74173$ |
$[0, 0, 1, -1853784660, 30721119647013]$ |
\(y^2+y=x^3-1853784660x+30721119647013\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2, 9.24.0-9.b.1.2, 18.48.0-18.d.1.2, 819.72.0.?, $\ldots$ |
$[]$ |
| 74529.ba2 |
74529k1 |
74529.ba |
74529k |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$5818176$ |
$3.139767$ |
$-372736000/19683$ |
$0.99494$ |
$5.57114$ |
$[0, 0, 1, -22607130, 43219369170]$ |
\(y^2+y=x^3-22607130x+43219369170\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1, 9.24.0-9.b.1.1, 18.48.0-18.d.1.1, 819.72.0.?, $\ldots$ |
$[]$ |
| 74529.bb1 |
74529t1 |
74529.bb |
74529t |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.798990498$ |
$1$ |
|
$2$ |
$258048$ |
$1.760469$ |
$32768/9477$ |
$1.07768$ |
$3.96013$ |
$[0, 0, 1, 7098, -5140431]$ |
\(y^2+y=x^3+7098x-5140431\) |
182.2.0.? |
$[(273, 4140)]$ |
