| 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 |
| 2178.a1 |
2178a4 |
2178.a |
2178a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$2.028313$ |
$13060888875/7086244$ |
$1.08865$ |
$6.18875$ |
$[1, -1, 0, -160287, -6133231]$ |
\(y^2+xy=x^3-x^2-160287x-6133231\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.2, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 2178.a2 |
2178a2 |
2178.a |
2178a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$1.479006$ |
$4406910829875/7744$ |
$1.04926$ |
$6.08853$ |
$[1, -1, 0, -123987, -16773003]$ |
\(y^2+xy=x^3-x^2-123987x-16773003\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.4, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 2178.a3 |
2178a3 |
2178.a |
2178a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.681740$ |
$2714704875/21296$ |
$0.99928$ |
$5.98437$ |
$[1, -1, 0, -94947, 11208005]$ |
\(y^2+xy=x^3-x^2-94947x+11208005\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.i.1.1, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 2178.a4 |
2178a1 |
2178.a |
2178a |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.132433$ |
$1108717875/45056$ |
$0.99248$ |
$5.01026$ |
$[1, -1, 0, -7827, -255051]$ |
\(y^2+xy=x^3-x^2-7827x-255051\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.i.1.3, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 2178.b1 |
2178c3 |
2178.b |
2178c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$2.019972234$ |
$1$ |
|
$3$ |
$11520$ |
$1.638176$ |
$57736239625/255552$ |
$0.99775$ |
$5.95332$ |
$[1, -1, 0, -87687, -9934083]$ |
\(y^2+xy=x^3-x^2-87687x-9934083\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.d.1, 24.48.0-24.bx.1.6, $\ldots$ |
$[(1246, 41969)]$ |
| 2178.b2 |
2178c4 |
2178.b |
2178c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$4.039944468$ |
$1$ |
|
$0$ |
$23040$ |
$1.984751$ |
$-7357983625/127552392$ |
$1.05287$ |
$6.13188$ |
$[1, -1, 0, -44127, -19839627]$ |
\(y^2+xy=x^3-x^2-44127x-19839627\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$ |
$[(2487/2, 108591/2)]$ |
| 2178.b3 |
2178c1 |
2178.b |
2178c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$0.673324078$ |
$1$ |
|
$9$ |
$3840$ |
$1.088871$ |
$18609625/1188$ |
$0.92581$ |
$4.90729$ |
$[1, -1, 0, -6012, 170748]$ |
\(y^2+xy=x^3-x^2-6012x+170748\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.d.1, 24.48.0-24.bx.1.2, $\ldots$ |
$[(58, 92)]$ |
| 2178.b4 |
2178c2 |
2178.b |
2178c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{12} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1.346648156$ |
$1$ |
|
$6$ |
$7680$ |
$1.435444$ |
$9938375/176418$ |
$1.01160$ |
$5.26677$ |
$[1, -1, 0, 4878, 713070]$ |
\(y^2+xy=x^3-x^2+4878x+713070\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$ |
$[(-41, 686)]$ |
| 2178.c1 |
2178b2 |
2178.c |
2178b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$264$ |
$144$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$25344$ |
$2.010098$ |
$8934171875/5832$ |
$1.11908$ |
$6.64647$ |
$[1, -1, 0, -517842, -143221028]$ |
\(y^2+xy=x^3-x^2-517842x-143221028\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.b.1, 24.72.1.cd.1, $\ldots$ |
$[]$ |
| 2178.c2 |
2178b1 |
2178.c |
2178b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$264$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$12672$ |
$1.663523$ |
$3723875/1728$ |
$1.02301$ |
$5.63389$ |
$[1, -1, 0, -38682, -1293836]$ |
\(y^2+xy=x^3-x^2-38682x-1293836\) |
2.3.0.a.1, 3.6.0.b.1, 6.36.0.b.1, 24.72.1.ce.1, 33.12.0.a.1, $\ldots$ |
$[]$ |
| 2178.d1 |
2178e1 |
2178.d |
2178e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1.216364070$ |
$1$ |
|
$4$ |
$3840$ |
$0.977026$ |
$43307231/82944$ |
$1.06329$ |
$4.50213$ |
$[1, -1, 0, 1611, -38219]$ |
\(y^2+xy=x^3-x^2+1611x-38219\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(26, 131)]$ |
| 2178.e1 |
2178d1 |
2178.e |
2178d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$0.359139472$ |
$1$ |
|
$6$ |
$8448$ |
$1.360382$ |
$-2259169/324$ |
$0.94639$ |
$5.28570$ |
$[1, -1, 0, -14724, 771876]$ |
\(y^2+xy=x^3-x^2-14724x+771876\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(-30, 1104)]$ |
| 2178.f1 |
2178f2 |
2178.f |
2178f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1.256412102$ |
$1$ |
|
$2$ |
$1152$ |
$0.418098$ |
$-128667913/4096$ |
$0.98675$ |
$3.91792$ |
$[1, -1, 0, -468, -3888]$ |
\(y^2+xy=x^3-x^2-468x-3888\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 33.8.0-3.a.1.2, $\ldots$ |
$[(72, 540)]$ |
| 2178.f2 |
2178f1 |
2178.f |
2178f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$0.418804034$ |
$1$ |
|
$6$ |
$384$ |
$-0.131208$ |
$24167/16$ |
$0.94416$ |
$2.79466$ |
$[1, -1, 0, 27, -27]$ |
\(y^2+xy=x^3-x^2+27x-27\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(6, 15)]$ |
| 2178.g1 |
2178k3 |
2178.g |
2178k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{7} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$15360$ |
$1.653299$ |
$4824238966273/66$ |
$1.02376$ |
$6.52910$ |
$[1, -1, 1, -383351, -91261299]$ |
\(y^2+xy+y=x^3-x^2-383351x-91261299\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 264.48.0.? |
$[]$ |
| 2178.g2 |
2178k2 |
2178.g |
2178k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$7680$ |
$1.306726$ |
$1180932193/4356$ |
$0.96736$ |
$5.44727$ |
$[1, -1, 1, -23981, -1418799]$ |
\(y^2+xy+y=x^3-x^2-23981x-1418799\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 132.24.0.?, 264.48.0.? |
$[]$ |
| 2178.g3 |
2178k4 |
2178.g |
2178k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15360$ |
$1.653299$ |
$-192100033/2371842$ |
$1.02507$ |
$5.61512$ |
$[1, -1, 1, -13091, -2721243]$ |
\(y^2+xy+y=x^3-x^2-13091x-2721243\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.? |
$[]$ |
| 2178.g4 |
2178k1 |
2178.g |
2178k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3840$ |
$0.960153$ |
$912673/528$ |
$1.18336$ |
$4.51502$ |
$[1, -1, 1, -2201, 1257]$ |
\(y^2+xy+y=x^3-x^2-2201x+1257\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 66.6.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 2178.h1 |
2178g4 |
2178.h |
2178g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$0.743066361$ |
$1$ |
|
$8$ |
$23040$ |
$2.028313$ |
$4406910829875/7744$ |
$1.04926$ |
$6.94613$ |
$[1, -1, 1, -1115885, 453986965]$ |
\(y^2+xy+y=x^3-x^2-1115885x+453986965\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.2, 33.8.0-3.a.1.1, $\ldots$ |
$[(641, 1010)]$ |
| 2178.h2 |
2178g3 |
2178.h |
2178g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$0.371533180$ |
$1$ |
|
$11$ |
$11520$ |
$1.681740$ |
$1108717875/45056$ |
$0.99248$ |
$5.86786$ |
$[1, -1, 1, -70445, 6956821]$ |
\(y^2+xy+y=x^3-x^2-70445x+6956821\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.i.1.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(47, 1912)]$ |
| 2178.h3 |
2178g2 |
2178.h |
2178g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$2.229199083$ |
$1$ |
|
$2$ |
$7680$ |
$1.479006$ |
$13060888875/7086244$ |
$1.08865$ |
$5.33115$ |
$[1, -1, 1, -17810, 233093]$ |
\(y^2+xy+y=x^3-x^2-17810x+233093\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.4, 33.8.0-3.a.1.2, $\ldots$ |
$[(201, 2077)]$ |
| 2178.h4 |
2178g1 |
2178.h |
2178g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1.114599541$ |
$1$ |
|
$3$ |
$3840$ |
$1.132433$ |
$2714704875/21296$ |
$0.99928$ |
$5.12677$ |
$[1, -1, 1, -10550, -411595]$ |
\(y^2+xy+y=x^3-x^2-10550x-411595\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.i.1.3, 33.8.0-3.a.1.2, $\ldots$ |
$[(531, 11713)]$ |
| 2178.i1 |
2178h2 |
2178.i |
2178h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$264$ |
$144$ |
$5$ |
$0.535821258$ |
$1$ |
|
$8$ |
$2304$ |
$0.811150$ |
$8934171875/5832$ |
$1.11908$ |
$4.77462$ |
$[1, -1, 1, -4280, 108771]$ |
\(y^2+xy+y=x^3-x^2-4280x+108771\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.b.1, 24.72.1.cd.1, $\ldots$ |
$[(47, 75)]$ |
| 2178.i2 |
2178h1 |
2178.i |
2178h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$264$ |
$144$ |
$5$ |
$0.267910629$ |
$1$ |
|
$11$ |
$1152$ |
$0.464576$ |
$3723875/1728$ |
$1.02301$ |
$3.76204$ |
$[1, -1, 1, -320, 1059]$ |
\(y^2+xy+y=x^3-x^2-320x+1059\) |
2.3.0.a.1, 3.6.0.b.1, 6.36.0.b.1, 24.72.1.ce.1, 33.12.0.a.1, $\ldots$ |
$[(-7, 57)]$ |
| 2178.j1 |
2178j1 |
2178.j |
2178j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.161434$ |
$-2259169/324$ |
$0.94639$ |
$3.41385$ |
$[1, -1, 1, -122, -547]$ |
\(y^2+xy+y=x^3-x^2-122x-547\) |
4.8.0.b.1, 132.16.0.? |
$[]$ |
| 2178.k1 |
2178i1 |
2178.k |
2178i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42240$ |
$2.175972$ |
$43307231/82944$ |
$1.06329$ |
$6.37399$ |
$[1, -1, 1, 194908, 50284743]$ |
\(y^2+xy+y=x^3-x^2+194908x+50284743\) |
4.8.0.b.1, 132.16.0.? |
$[]$ |
| 2178.l1 |
2178l2 |
2178.l |
2178l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12672$ |
$1.617046$ |
$-128667913/4096$ |
$0.98675$ |
$5.78977$ |
$[1, -1, 1, -56651, 5344859]$ |
\(y^2+xy+y=x^3-x^2-56651x+5344859\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 24.32.0-24.b.2.6 |
$[]$ |
| 2178.l2 |
2178l1 |
2178.l |
2178l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$1.067739$ |
$24167/16$ |
$0.94416$ |
$4.66651$ |
$[1, -1, 1, 3244, 26183]$ |
\(y^2+xy+y=x^3-x^2+3244x+26183\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 24.32.0-24.b.1.6 |
$[]$ |
| 2178.m1 |
2178m3 |
2178.m |
2178m |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 11^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$25$ |
$5$ |
$1$ |
$96000$ |
$2.496105$ |
$112763292123580561/1932612$ |
$1.06379$ |
$7.83787$ |
$[1, -1, 1, -10960808, -13964543161]$ |
\(y^2+xy+y=x^3-x^2-10960808x-13964543161\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.72.0-10.a.1.3, 40.144.1-40.t.1.13, $\ldots$ |
$[]$ |
| 2178.m2 |
2178m4 |
2178.m |
2178m |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{8} \cdot 11^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$25$ |
$5$ |
$0$ |
$192000$ |
$2.842682$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$7.83841$ |
$[1, -1, 1, -10949918, -13993684801]$ |
\(y^2+xy+y=x^3-x^2-10949918x-13993684801\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 20.72.0-10.a.1.11, $\ldots$ |
$[]$ |
| 2178.m3 |
2178m1 |
2178.m |
2178m |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$19200$ |
$1.691387$ |
$10091699281/2737152$ |
$1.07340$ |
$5.72640$ |
$[1, -1, 1, -49028, 3057959]$ |
\(y^2+xy+y=x^3-x^2-49028x+3057959\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.72.0-10.a.2.4, 40.144.1-40.t.2.13, $\ldots$ |
$[]$ |
| 2178.m4 |
2178m2 |
2178.m |
2178m |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{16} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$38400$ |
$2.037960$ |
$168105213359/228637728$ |
$1.10021$ |
$6.13143$ |
$[1, -1, 1, 125212, 19784999]$ |
\(y^2+xy+y=x^3-x^2+125212x+19784999\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.11, $\ldots$ |
$[]$ |
