| 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 |
| 69696.a1 |
69696he1 |
69696.a |
69696he |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$0.885008$ |
$-30908416/3$ |
$1.03221$ |
$3.43782$ |
$[0, 0, 0, -7392, -244640]$ |
\(y^2=x^3-7392x-244640\) |
6.2.0.a.1 |
$[]$ |
| 69696.b1 |
69696dt1 |
69696.b |
69696dt |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.184226051$ |
$1$ |
|
$2$ |
$1419264$ |
$2.083954$ |
$-30908416/3$ |
$1.03221$ |
$4.72795$ |
$[0, 0, 0, -894432, -325615840]$ |
\(y^2=x^3-894432x-325615840\) |
6.2.0.a.1 |
$[(1369, 31869)]$ |
| 69696.c1 |
69696bh2 |
69696.c |
69696bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8110080$ |
$2.934685$ |
$102129622/59049$ |
$1.24288$ |
$5.23660$ |
$[0, 0, 0, -5925612, 167493040]$ |
\(y^2=x^3-5925612x+167493040\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 69696.c2 |
69696bh1 |
69696.c |
69696bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4055040$ |
$2.588112$ |
$63253004/243$ |
$0.98663$ |
$5.13148$ |
$[0, 0, 0, -4008972, -3079295120]$ |
\(y^2=x^3-4008972x-3079295120\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
| 69696.d1 |
69696fj2 |
69696.d |
69696fj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$3.107658401$ |
$1$ |
|
$5$ |
$737280$ |
$1.735737$ |
$102129622/59049$ |
$1.24288$ |
$3.94647$ |
$[0, 0, 0, -48972, 125840]$ |
\(y^2=x^3-48972x+125840\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(352, 5148)]$ |
| 69696.d2 |
69696fj1 |
69696.d |
69696fj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.553829200$ |
$1$ |
|
$5$ |
$368640$ |
$1.389162$ |
$63253004/243$ |
$0.98663$ |
$3.84135$ |
$[0, 0, 0, -33132, -2313520]$ |
\(y^2=x^3-33132x-2313520\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-107, 81)]$ |
| 69696.e1 |
69696ew2 |
69696.e |
69696ew |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$3.258504285$ |
$1$ |
|
$3$ |
$1474560$ |
$2.299282$ |
$19034163/121$ |
$0.94120$ |
$4.79858$ |
$[0, 0, 0, -1163052, -480118320]$ |
\(y^2=x^3-1163052x-480118320\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(1276, 10648)]$ |
| 69696.e2 |
69696ew1 |
69696.e |
69696ew |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.629252142$ |
$1$ |
|
$7$ |
$737280$ |
$1.952711$ |
$19683/11$ |
$1.13667$ |
$4.18216$ |
$[0, 0, 0, -117612, 2874960]$ |
\(y^2=x^3-117612x+2874960\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(682, 15488)]$ |
| 69696.f1 |
69696hc3 |
69696.f |
69696hc |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 11^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$18432000$ |
$3.535828$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.52084$ |
$[0, 0, 0, -701491692, 7151249081680]$ |
\(y^2=x^3-701491692x+7151249081680\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 20.72.0-10.a.1.1, $\ldots$ |
$[]$ |
| 69696.f2 |
69696hc4 |
69696.f |
69696hc |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{19} \cdot 3^{8} \cdot 11^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$36864000$ |
$3.882401$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.52122$ |
$[0, 0, 0, -700794732, 7166168207440]$ |
\(y^2=x^3-700794732x+7166168207440\) |
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.1.1, $\ldots$ |
$[]$ |
| 69696.f3 |
69696hc1 |
69696.f |
69696hc |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{28} \cdot 3^{11} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$3686400$ |
$2.731110$ |
$10091699281/2737152$ |
$1.07340$ |
$5.06557$ |
$[0, 0, 0, -3137772, -1559399600]$ |
\(y^2=x^3-3137772x-1559399600\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 20.72.0-10.a.2.1, $\ldots$ |
$[]$ |
| 69696.f4 |
69696hc2 |
69696.f |
69696hc |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{23} \cdot 3^{16} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$7372800$ |
$3.077682$ |
$168105213359/228637728$ |
$1.10021$ |
$5.34472$ |
$[0, 0, 0, 8013588, -10145946800]$ |
\(y^2=x^3+8013588x-10145946800\) |
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.2.1, $\ldots$ |
$[]$ |
| 69696.g1 |
69696dr1 |
69696.g |
69696dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$0.910328589$ |
$1$ |
|
$7$ |
$368640$ |
$1.529753$ |
$1906624/33$ |
$0.85378$ |
$3.92379$ |
$[0, 0, 0, -45012, 3620320]$ |
\(y^2=x^3-45012x+3620320\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(66, 968)]$ |
| 69696.g2 |
69696dr2 |
69696.g |
69696dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1.820657179$ |
$1$ |
|
$5$ |
$737280$ |
$1.876326$ |
$-8/1089$ |
$1.19226$ |
$4.10908$ |
$[0, 0, 0, -1452, 10328560]$ |
\(y^2=x^3-1452x+10328560\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(77, 3267)]$ |
| 69696.h1 |
69696ev1 |
69696.h |
69696ev |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.929012850$ |
$1$ |
|
$3$ |
$138240$ |
$1.058947$ |
$1728$ |
|
$3.21815$ |
$[0, 0, 0, -3267, 0]$ |
\(y^2=x^3-3267x\) |
|
$[(-44, 242)]$ |
| 69696.h2 |
69696ev2 |
69696.h |
69696ev |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.858025700$ |
$1$ |
|
$3$ |
$276480$ |
$1.405521$ |
$1728$ |
|
$3.59108$ |
$[0, 0, 0, 13068, 0]$ |
\(y^2=x^3+13068x\) |
|
$[(432, 9288)]$ |
| 69696.i1 |
69696eb2 |
69696.i |
69696eb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.330509533$ |
$1$ |
|
$17$ |
$24576$ |
$0.256741$ |
$1728$ |
|
$2.35494$ |
$[0, 0, 0, -132, 0]$ |
\(y^2=x^3-132x\) |
|
$[(-6, 24), (-2, 16)]$ |
| 69696.i2 |
69696eb1 |
69696.i |
69696eb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.322038135$ |
$1$ |
|
$7$ |
$12288$ |
$-0.089832$ |
$1728$ |
|
$1.98201$ |
$[0, 0, 0, 33, 0]$ |
\(y^2=x^3+33x\) |
|
$[(4, 14), (16, 68)]$ |
| 69696.j1 |
69696ea2 |
69696.j |
69696ea |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$270336$ |
$1.455688$ |
$1728$ |
|
$3.64506$ |
$[0, 0, 0, -15972, 0]$ |
\(y^2=x^3-15972x\) |
|
$[]$ |
| 69696.j2 |
69696ea1 |
69696.j |
69696ea |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$1$ |
$135168$ |
$1.109116$ |
$1728$ |
|
$3.27213$ |
$[0, 0, 0, 3993, 0]$ |
\(y^2=x^3+3993x\) |
|
$[]$ |
| 69696.k1 |
69696s2 |
69696.k |
69696s |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$2.299282$ |
$19034163/121$ |
$0.94120$ |
$4.79858$ |
$[0, 0, 0, -1163052, 480118320]$ |
\(y^2=x^3-1163052x+480118320\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
| 69696.k2 |
69696s1 |
69696.k |
69696s |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.952711$ |
$19683/11$ |
$1.13667$ |
$4.18216$ |
$[0, 0, 0, -117612, -2874960]$ |
\(y^2=x^3-117612x-2874960\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
| 69696.l1 |
69696dq3 |
69696.l |
69696dq |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 11^{11} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$10.70931218$ |
$1$ |
|
$1$ |
$18432000$ |
$3.535828$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.52084$ |
$[0, 0, 0, -701491692, -7151249081680]$ |
\(y^2=x^3-701491692x-7151249081680\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 20.72.0-10.a.1.9, $\ldots$ |
$[(376085446/65, 6924226928256/65)]$ |
| 69696.l2 |
69696dq4 |
69696.l |
69696dq |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{19} \cdot 3^{8} \cdot 11^{16} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$21.41862436$ |
$1$ |
|
$1$ |
$36864000$ |
$3.882401$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.52122$ |
$[0, 0, 0, -700794732, -7166168207440]$ |
\(y^2=x^3-700794732x-7166168207440\) |
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.1.9, $\ldots$ |
$[(107584469080/1271, 31910239457373420/1271)]$ |
| 69696.l3 |
69696dq1 |
69696.l |
69696dq |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{28} \cdot 3^{11} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$2.141862436$ |
$1$ |
|
$3$ |
$3686400$ |
$2.731110$ |
$10091699281/2737152$ |
$1.07340$ |
$5.06557$ |
$[0, 0, 0, -3137772, 1559399600]$ |
\(y^2=x^3-3137772x+1559399600\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 20.72.0-10.a.2.10, $\ldots$ |
$[(-275, 49005)]$ |
| 69696.l4 |
69696dq2 |
69696.l |
69696dq |
$4$ |
$10$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{23} \cdot 3^{16} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$4.283724872$ |
$1$ |
|
$3$ |
$7372800$ |
$3.077682$ |
$168105213359/228637728$ |
$1.10021$ |
$5.34472$ |
$[0, 0, 0, 8013588, 10145946800]$ |
\(y^2=x^3+8013588x+10145946800\) |
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.2.10, $\ldots$ |
$[(2200, 196020)]$ |
| 69696.m1 |
69696dp1 |
69696.m |
69696dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$2.155983589$ |
$1$ |
|
$5$ |
$368640$ |
$1.529753$ |
$1906624/33$ |
$0.85378$ |
$3.92379$ |
$[0, 0, 0, -45012, -3620320]$ |
\(y^2=x^3-45012x-3620320\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-134, 72)]$ |
| 69696.m2 |
69696dp2 |
69696.m |
69696dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$4.311967179$ |
$1$ |
|
$5$ |
$737280$ |
$1.876326$ |
$-8/1089$ |
$1.19226$ |
$4.10908$ |
$[0, 0, 0, -1452, -10328560]$ |
\(y^2=x^3-1452x-10328560\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(229, 1161)]$ |
| 69696.n1 |
69696fi2 |
69696.n |
69696fi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.704861357$ |
$1$ |
|
$3$ |
$8110080$ |
$2.934685$ |
$102129622/59049$ |
$1.24288$ |
$5.23660$ |
$[0, 0, 0, -5925612, -167493040]$ |
\(y^2=x^3-5925612x-167493040\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(9244, 857304)]$ |
| 69696.n2 |
69696fi1 |
69696.n |
69696fi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$2.352430678$ |
$1$ |
|
$5$ |
$4055040$ |
$2.588112$ |
$63253004/243$ |
$0.98663$ |
$5.13148$ |
$[0, 0, 0, -4008972, 3079295120]$ |
\(y^2=x^3-4008972x+3079295120\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(1258, 5184)]$ |
| 69696.o1 |
69696bg2 |
69696.o |
69696bg |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.735737$ |
$102129622/59049$ |
$1.24288$ |
$3.94647$ |
$[0, 0, 0, -48972, -125840]$ |
\(y^2=x^3-48972x-125840\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 69696.o2 |
69696bg1 |
69696.o |
69696bg |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.389162$ |
$63253004/243$ |
$0.98663$ |
$3.84135$ |
$[0, 0, 0, -33132, 2313520]$ |
\(y^2=x^3-33132x+2313520\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
| 69696.p1 |
69696ds1 |
69696.p |
69696ds |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.084273071$ |
$1$ |
|
$2$ |
$129024$ |
$0.885008$ |
$-30908416/3$ |
$1.03221$ |
$3.43782$ |
$[0, 0, 0, -7392, 244640]$ |
\(y^2=x^3-7392x+244640\) |
6.2.0.a.1 |
$[(49, 9)]$ |
| 69696.q1 |
69696hd1 |
69696.q |
69696hd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.083954$ |
$-30908416/3$ |
$1.03221$ |
$4.72795$ |
$[0, 0, 0, -894432, 325615840]$ |
\(y^2=x^3-894432x+325615840\) |
6.2.0.a.1 |
$[]$ |
| 69696.r1 |
69696dl1 |
69696.r |
69696dl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.105433097$ |
$1$ |
|
$2$ |
$115200$ |
$0.974952$ |
$512/11$ |
$0.81074$ |
$3.13518$ |
$[0, 0, 0, 726, -45254]$ |
\(y^2=x^3+726x-45254\) |
22.2.0.a.1 |
$[(33, 121)]$ |
| 69696.s1 |
69696gy2 |
69696.s |
69696gy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.656765$ |
$-128667913/4096$ |
$0.98675$ |
$5.10924$ |
$[0, 0, 0, -3625644, -2729316656]$ |
\(y^2=x^3-3625644x-2729316656\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.5 |
$[]$ |
| 69696.s2 |
69696gy1 |
69696.s |
69696gy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.107460$ |
$24167/16$ |
$0.94416$ |
$4.33507$ |
$[0, 0, 0, 207636, -13821104]$ |
\(y^2=x^3+207636x-13821104\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.1.5 |
$[]$ |
| 69696.t1 |
69696di2 |
69696.t |
69696di |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$11.04115157$ |
$1$ |
|
$0$ |
$691200$ |
$1.991840$ |
$-199794688/1331$ |
$0.99506$ |
$4.46627$ |
$[0, 0, 0, -336864, -75685984]$ |
\(y^2=x^3-336864x-75685984\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.6, 66.8.0.a.1, 264.16.0.? |
$[(2977337/59, 3323707981/59)]$ |
| 69696.t2 |
69696di1 |
69696.t |
69696di |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$3.680383858$ |
$1$ |
|
$2$ |
$230400$ |
$1.442533$ |
$8192/11$ |
$0.84294$ |
$3.58431$ |
$[0, 0, 0, 11616, -553696]$ |
\(y^2=x^3+11616x-553696\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.5, 66.8.0.a.1, 264.16.0.? |
$[(737, 20207)]$ |
| 69696.u1 |
69696gx1 |
69696.u |
69696gx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.465616$ |
$-27648/11$ |
$0.78666$ |
$3.71539$ |
$[0, 0, 0, -17424, -1149984]$ |
\(y^2=x^3-17424x-1149984\) |
22.2.0.a.1 |
$[]$ |
| 69696.v1 |
69696dj2 |
69696.v |
69696dj |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$3.278568485$ |
$1$ |
|
$2$ |
$221184$ |
$1.457819$ |
$-128667913/4096$ |
$0.98675$ |
$3.81912$ |
$[0, 0, 0, -29964, -2050576]$ |
\(y^2=x^3-29964x-2050576\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 132.16.0.?, $\ldots$ |
$[(1598, 63488)]$ |
| 69696.v2 |
69696dj1 |
69696.v |
69696dj |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1.092856161$ |
$1$ |
|
$4$ |
$73728$ |
$0.908513$ |
$24167/16$ |
$0.94416$ |
$3.04494$ |
$[0, 0, 0, 1716, -10384]$ |
\(y^2=x^3+1716x-10384\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 132.16.0.?, $\ldots$ |
$[(14, 128)]$ |
| 69696.w1 |
69696fh2 |
69696.w |
69696fh |
$2$ |
$11$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$11.59351838$ |
$1$ |
|
$0$ |
$190080$ |
$1.471754$ |
$-32768$ |
$1.02512$ |
$3.83614$ |
$[0, 0, 0, -31944, -2254714]$ |
\(y^2=x^3-31944x-2254714\) |
|
$[(3489035/67, 6326406713/67)]$ |
| 69696.w2 |
69696fh1 |
69696.w |
69696fh |
$2$ |
$11$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.053956216$ |
$1$ |
|
$2$ |
$17280$ |
$0.272807$ |
$-32768$ |
$1.02512$ |
$2.54601$ |
$[0, 0, 0, -264, 1694]$ |
\(y^2=x^3-264x+1694\) |
|
$[(11, 11)]$ |
| 69696.x1 |
69696bf2 |
69696.x |
69696bf |
$2$ |
$11$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$190080$ |
$1.471754$ |
$-32768$ |
$1.02512$ |
$3.83614$ |
$[0, 0, 0, -31944, 2254714]$ |
\(y^2=x^3-31944x+2254714\) |
|
$[]$ |
| 69696.x2 |
69696bf1 |
69696.x |
69696bf |
$2$ |
$11$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.272807$ |
$-32768$ |
$1.02512$ |
$2.54601$ |
$[0, 0, 0, -264, -1694]$ |
\(y^2=x^3-264x-1694\) |
|
$[]$ |
| 69696.y1 |
69696dh2 |
69696.y |
69696dh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{30} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$2.714938611$ |
$1$ |
|
$2$ |
$2433024$ |
$2.656765$ |
$-128667913/4096$ |
$0.98675$ |
$5.10924$ |
$[0, 0, 0, -3625644, 2729316656]$ |
\(y^2=x^3-3625644x+2729316656\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.4 |
$[(2902, 129024)]$ |
| 69696.y2 |
69696dh1 |
69696.y |
69696dh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$0.904979537$ |
$1$ |
|
$4$ |
$811008$ |
$2.107460$ |
$24167/16$ |
$0.94416$ |
$4.33507$ |
$[0, 0, 0, 207636, 13821104]$ |
\(y^2=x^3+207636x+13821104\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0-12.a.1.1, 24.32.0-24.b.1.4 |
$[(2662, 139392)]$ |
| 69696.z1 |
69696gv2 |
69696.z |
69696gv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$1.991840$ |
$-199794688/1331$ |
$0.99506$ |
$4.46627$ |
$[0, 0, 0, -336864, 75685984]$ |
\(y^2=x^3-336864x+75685984\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.8, 66.8.0.a.1, 264.16.0.? |
$[]$ |
| 69696.z2 |
69696gv1 |
69696.z |
69696gv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.442533$ |
$8192/11$ |
$0.84294$ |
$3.58431$ |
$[0, 0, 0, 11616, 553696]$ |
\(y^2=x^3+11616x+553696\) |
3.4.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.7, 66.8.0.a.1, 264.16.0.? |
$[]$ |
