| 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 |
| 20280.a1 |
20280r2 |
20280.a |
20280r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$29.06472361$ |
$1$ |
|
$1$ |
$1497600$ |
$2.799149$ |
$7824392006186/7381125$ |
$1.00519$ |
$6.09005$ |
$[0, -1, 0, -11539376, -15071501940]$ |
\(y^2=x^3-x^2-11539376x-15071501940\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(4172822273949/3302, 8523679236353583999/3302)]$ |
| 20280.a2 |
20280r1 |
20280.a |
20280r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$14.53236180$ |
$1$ |
|
$1$ |
$748800$ |
$2.452572$ |
$-1735192372/3796875$ |
$0.97338$ |
$5.32953$ |
$[0, -1, 0, -554376, -347207940]$ |
\(y^2=x^3-x^2-554376x-347207940\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(64677902/13, 520154662000/13)]$ |
| 20280.b1 |
20280d4 |
20280.b |
20280d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.812639267$ |
$1$ |
|
$1$ |
$258048$ |
$1.962854$ |
$31103978031362/195$ |
$0.97111$ |
$5.45332$ |
$[0, -1, 0, -1406136, 642253260]$ |
\(y^2=x^3-x^2-1406136x+642253260\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(2749/2, 831/2)]$ |
| 20280.b2 |
20280d3 |
20280.b |
20280d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.812639267$ |
$1$ |
|
$3$ |
$258048$ |
$1.962854$ |
$20183398562/11567205$ |
$1.00841$ |
$4.71318$ |
$[0, -1, 0, -121736, 1648620]$ |
\(y^2=x^3-x^2-121736x+1648620\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-31, 2322)]$ |
| 20280.b3 |
20280d2 |
20280.b |
20280d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$2.406319633$ |
$1$ |
|
$7$ |
$129024$ |
$1.616280$ |
$15214885924/38025$ |
$0.90605$ |
$4.61479$ |
$[0, -1, 0, -87936, 10044540]$ |
\(y^2=x^3-x^2-87936x+10044540\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(9, 3042)]$ |
| 20280.b4 |
20280d1 |
20280.b |
20280d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.203159816$ |
$1$ |
|
$3$ |
$64512$ |
$1.269707$ |
$-3631696/24375$ |
$0.84900$ |
$3.88949$ |
$[0, -1, 0, -3436, 276340]$ |
\(y^2=x^3-x^2-3436x+276340\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(126, 1352)]$ |
| 20280.c1 |
20280p2 |
20280.c |
20280p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$2.369011$ |
$4234737878642/1247410125$ |
$0.96992$ |
$5.25225$ |
$[0, -1, 0, -723376, -165691124]$ |
\(y^2=x^3-x^2-723376x-165691124\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 20280.c2 |
20280p1 |
20280.c |
20280p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$2.022438$ |
$40254822716/49359375$ |
$0.94318$ |
$4.72422$ |
$[0, -1, 0, 121624, -17309124]$ |
\(y^2=x^3-x^2+121624x-17309124\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 20280.d1 |
20280f1 |
20280.d |
20280f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$112896$ |
$1.689457$ |
$621217777580032/74733890625$ |
$1.05549$ |
$4.49011$ |
$[0, -1, 0, -58231, 4833100]$ |
\(y^2=x^3-x^2-58231x+4833100\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 20280.d2 |
20280f2 |
20280.d |
20280f |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$225792$ |
$2.036030$ |
$116227003261808/533935546875$ |
$1.04468$ |
$4.79598$ |
$[0, -1, 0, 83924, 24621076]$ |
\(y^2=x^3-x^2+83924x+24621076\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 20280.e1 |
20280b1 |
20280.e |
20280b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$11.54353536$ |
$1$ |
|
$0$ |
$89856$ |
$1.796860$ |
$-1316978/10125$ |
$0.91204$ |
$4.52682$ |
$[0, -1, 0, -27096, -6479604]$ |
\(y^2=x^3-x^2-27096x-6479604\) |
40.2.0.a.1 |
$[(287637/13, 153394272/13)]$ |
| 20280.f1 |
20280a4 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.177 |
2B |
$624$ |
$192$ |
$1$ |
$5.703871959$ |
$1$ |
|
$1$ |
$2580480$ |
$3.200047$ |
$1556580279686303289604/114075$ |
$1.04256$ |
$7.17103$ |
$[0, -1, 0, -411278456, 3210484668156]$ |
\(y^2=x^3-x^2-411278456x+3210484668156\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0.h.1, 16.48.0-16.f.1.10, $\ldots$ |
$[(6204994/23, 47147620/23)]$ |
| 20280.f2 |
20280a5 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{16} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.190 |
2B |
$624$ |
$192$ |
$1$ |
$45.63097567$ |
$1$ |
|
$1$ |
$5160960$ |
$3.546619$ |
$8248670337458940482/1446075439453125$ |
$1.08352$ |
$6.71254$ |
$[0, -1, 0, -90340696, -275906686004]$ |
\(y^2=x^3-x^2-90340696x-275906686004\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 16.48.0-16.f.2.13, 24.48.0-24.by.1.16, $\ldots$ |
$[(-55832257233812893015/90395477, 110373436553903859514421020578/90395477)]$ |
| 20280.f3 |
20280a3 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.117 |
2Cs |
$312$ |
$192$ |
$1$ |
$22.81548783$ |
$1$ |
|
$3$ |
$2580480$ |
$3.200047$ |
$405929061432816484/35083409765625$ |
$1.07074$ |
$6.33898$ |
$[0, -1, 0, -26276176, 47824146460]$ |
\(y^2=x^3-x^2-26276176x+47824146460\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.12, 24.96.0-24.t.1.8, 52.24.0-4.b.1.1, $\ldots$ |
$[(-139075495871/5069, 23097555389875842/5069)]$ |
| 20280.f4 |
20280a2 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.107 |
2Cs |
$312$ |
$192$ |
$1$ |
$11.40774391$ |
$1$ |
|
$3$ |
$1290240$ |
$2.853474$ |
$1520107298839022416/13013105625$ |
$1.01425$ |
$6.33233$ |
$[0, -1, 0, -25704956, 50170032756]$ |
\(y^2=x^3-x^2-25704956x+50170032756\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.11, 12.24.0.c.1, 24.96.0-24.g.2.13, $\ldots$ |
$[(5889181/6, 14284822175/6)]$ |
| 20280.f5 |
20280a1 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.152 |
2B |
$624$ |
$192$ |
$1$ |
$5.703871959$ |
$1$ |
|
$1$ |
$645120$ |
$2.506897$ |
$-5551350318708736/550618236675$ |
$1.01951$ |
$5.50279$ |
$[0, -1, 0, -1570911, 820737540]$ |
\(y^2=x^3-x^2-1570911x+820737540\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(-5723/2, 93795/2)]$ |
| 20280.f6 |
20280a6 |
20280.f |
20280a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{24} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.229 |
2B |
$624$ |
$192$ |
$1$ |
$45.63097567$ |
$1$ |
|
$1$ |
$5160960$ |
$3.546619$ |
$263059523447441758/2294739983908125$ |
$1.04969$ |
$6.63176$ |
$[0, -1, 0, 28648824, 221409116460]$ |
\(y^2=x^3-x^2+28648824x+221409116460\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.4, 48.96.0-48.bg.2.2, 52.12.0-4.c.1.1, $\ldots$ |
$[(832868573903548331941/71367666, 24049547085020777946072890911637/71367666)]$ |
| 20280.g1 |
20280o1 |
20280.g |
20280o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.776451$ |
$-200601496576/46875$ |
$1.10192$ |
$3.70058$ |
$[0, -1, 0, -4281, -106419]$ |
\(y^2=x^3-x^2-4281x-106419\) |
6.2.0.a.1 |
$[]$ |
| 20280.h1 |
20280q1 |
20280.h |
20280q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.703389295$ |
$1$ |
|
$5$ |
$49920$ |
$1.348440$ |
$2725888/225$ |
$0.86421$ |
$4.10143$ |
$[0, -1, 0, -16111, -723464]$ |
\(y^2=x^3-x^2-16111x-723464\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-59, 135)]$ |
| 20280.h2 |
20280q2 |
20280.h |
20280q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$5.406778590$ |
$1$ |
|
$3$ |
$99840$ |
$1.695013$ |
$194672/1875$ |
$1.06252$ |
$4.39217$ |
$[0, -1, 0, 16844, -3333500]$ |
\(y^2=x^3-x^2+16844x-3333500\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(2138, 99000)]$ |
| 20280.i1 |
20280c1 |
20280.i |
20280c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.274487328$ |
$1$ |
|
$2$ |
$239616$ |
$2.090248$ |
$-173056/16875$ |
$1.04418$ |
$4.87920$ |
$[0, -1, 0, -38081, -37226619]$ |
\(y^2=x^3-x^2-38081x-37226619\) |
6.2.0.a.1 |
$[(621, 13350)]$ |
| 20280.j1 |
20280e1 |
20280.j |
20280e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$3.732674576$ |
$1$ |
|
$2$ |
$80640$ |
$1.338223$ |
$-17790954496/195$ |
$0.91521$ |
$4.49078$ |
$[0, -1, 0, -58361, -5407299]$ |
\(y^2=x^3-x^2-58361x-5407299\) |
390.2.0.? |
$[(1153, 38194)]$ |
| 20280.k1 |
20280u1 |
20280.k |
20280u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.360603217$ |
$1$ |
|
$6$ |
$18432$ |
$0.807773$ |
$-173056/16875$ |
$1.04418$ |
$3.32741$ |
$[0, -1, 0, -225, -16875]$ |
\(y^2=x^3-x^2-225x-16875\) |
6.2.0.a.1 |
$[(35, 130)]$ |
| 20280.l1 |
20280i1 |
20280.l |
20280i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.711378989$ |
$1$ |
|
$7$ |
$3840$ |
$0.065965$ |
$2725888/225$ |
$0.86421$ |
$2.54964$ |
$[0, -1, 0, -95, -300]$ |
\(y^2=x^3-x^2-95x-300\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-5, 5)]$ |
| 20280.l2 |
20280i2 |
20280.l |
20280i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.422757979$ |
$1$ |
|
$5$ |
$7680$ |
$0.412539$ |
$194672/1875$ |
$1.06252$ |
$2.84038$ |
$[0, -1, 0, 100, -1548]$ |
\(y^2=x^3-x^2+100x-1548\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(22, 104)]$ |
| 20280.m1 |
20280h1 |
20280.m |
20280h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$2.058926$ |
$-200601496576/46875$ |
$1.10192$ |
$5.25237$ |
$[0, -1, 0, -723545, -236696643]$ |
\(y^2=x^3-x^2-723545x-236696643\) |
6.2.0.a.1 |
$[]$ |
| 20280.n1 |
20280s4 |
20280.n |
20280s |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$12.21429118$ |
$1$ |
|
$1$ |
$258048$ |
$2.150131$ |
$10625310339698/3855735$ |
$1.18546$ |
$5.34501$ |
$[0, -1, 0, -982960, 375314380]$ |
\(y^2=x^3-x^2-982960x+375314380\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[(639433/33, 17715034/33)]$ |
| 20280.n2 |
20280s3 |
20280.n |
20280s |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$12.21429118$ |
$1$ |
|
$1$ |
$258048$ |
$2.150131$ |
$1481943889298/34543665$ |
$0.95159$ |
$5.14638$ |
$[0, -1, 0, -509760, -137066580]$ |
\(y^2=x^3-x^2-509760x-137066580\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 312.24.0.?, 520.24.0.?, $\ldots$ |
$[(186877/6, 79969967/6)]$ |
| 20280.n3 |
20280s2 |
20280.n |
20280s |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$6.107145592$ |
$1$ |
|
$3$ |
$129024$ |
$1.803558$ |
$7793764996/3080025$ |
$0.92131$ |
$4.54734$ |
$[0, -1, 0, -70360, 4068700]$ |
\(y^2=x^3-x^2-70360x+4068700\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 156.24.0.?, 520.24.0.?, $\ldots$ |
$[(2230/3, 36080/3)]$ |
| 20280.n4 |
20280s1 |
20280.n |
20280s |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$3.053572796$ |
$1$ |
|
$7$ |
$64512$ |
$1.456984$ |
$253012016/219375$ |
$0.87387$ |
$4.06194$ |
$[0, -1, 0, 14140, 452100]$ |
\(y^2=x^3-x^2+14140x+452100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 78.6.0.?, 120.24.0.?, 156.24.0.?, $\ldots$ |
$[(60, 1230)]$ |
| 20280.o1 |
20280g4 |
20280.o |
20280g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$258048$ |
$2.293991$ |
$49235161015876/137109375$ |
$0.96975$ |
$5.42973$ |
$[0, -1, 0, -1300680, 570015900]$ |
\(y^2=x^3-x^2-1300680x+570015900\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 104.24.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
| 20280.o2 |
20280g3 |
20280.o |
20280g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.293991$ |
$39914580075556/172718325$ |
$0.96849$ |
$5.40857$ |
$[0, -1, 0, -1212800, -511751748]$ |
\(y^2=x^3-x^2-1212800x-511751748\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
| 20280.o3 |
20280g2 |
20280.o |
20280g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$129024$ |
$1.947416$ |
$133649126224/77000625$ |
$1.02472$ |
$4.69411$ |
$[0, -1, 0, -114300, 1028052]$ |
\(y^2=x^3-x^2-114300x+1028052\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 52.24.0-52.b.1.2, 156.48.0.? |
$[]$ |
| 20280.o4 |
20280g1 |
20280.o |
20280g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.600843$ |
$33165879296/19278675$ |
$1.18904$ |
$4.27401$ |
$[0, -1, 0, 28505, 114100]$ |
\(y^2=x^3-x^2+28505x+114100\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 20280.p1 |
20280t1 |
20280.p |
20280t |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.384410868$ |
$1$ |
|
$2$ |
$6912$ |
$0.514385$ |
$-1316978/10125$ |
$0.91204$ |
$2.97503$ |
$[0, -1, 0, -160, -2900]$ |
\(y^2=x^3-x^2-160x-2900\) |
40.2.0.a.1 |
$[(25, 90)]$ |
| 20280.q1 |
20280v1 |
20280.q |
20280v |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1467648$ |
$2.971931$ |
$621217777580032/74733890625$ |
$1.05549$ |
$6.04190$ |
$[0, -1, 0, -9841095, 10578956400]$ |
\(y^2=x^3-x^2-9841095x+10578956400\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 20280.q2 |
20280v2 |
20280.q |
20280v |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{12} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2935296$ |
$3.318504$ |
$116227003261808/533935546875$ |
$1.04468$ |
$6.34777$ |
$[0, -1, 0, 14183100, 54149236452]$ |
\(y^2=x^3-x^2+14183100x+54149236452\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 20280.r1 |
20280j2 |
20280.r |
20280j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$6.456993492$ |
$1$ |
|
$1$ |
$115200$ |
$1.516672$ |
$7824392006186/7381125$ |
$1.00519$ |
$4.53826$ |
$[0, -1, 0, -68280, -6839028]$ |
\(y^2=x^3-x^2-68280x-6839028\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(1261/2, 13545/2)]$ |
| 20280.r2 |
20280j1 |
20280.r |
20280j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.228496746$ |
$1$ |
|
$3$ |
$57600$ |
$1.170099$ |
$-1735192372/3796875$ |
$0.97338$ |
$3.77775$ |
$[0, -1, 0, -3280, -157028]$ |
\(y^2=x^3-x^2-3280x-157028\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(234, 3440)]$ |
| 20280.s1 |
20280y3 |
20280.s |
20280y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.57 |
2B |
$1040$ |
$192$ |
$3$ |
$6.346160030$ |
$1$ |
|
$3$ |
$1032192$ |
$2.874577$ |
$19129597231400697604/26325$ |
$1.02876$ |
$6.72747$ |
$[0, 1, 0, -94910456, -355924440000]$ |
\(y^2=x^3+x^2-94910456x-355924440000\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.i.1.6, 26.6.0.b.1, $\ldots$ |
$[(11275, 86190)]$ |
| 20280.s2 |
20280y2 |
20280.s |
20280y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.22 |
2Cs |
$520$ |
$192$ |
$3$ |
$3.173080015$ |
$1$ |
|
$7$ |
$516096$ |
$2.528000$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.88877$ |
$[0, 1, 0, -5931956, -5562698400]$ |
\(y^2=x^3+x^2-5931956x-5562698400\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 8.48.0-8.g.1.4, 52.48.0-52.b.1.2, 104.96.1.?, $\ldots$ |
$[(6712, 507000)]$ |
| 20280.s3 |
20280y4 |
20280.s |
20280y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.5 |
2B |
$1040$ |
$192$ |
$3$ |
$6.346160030$ |
$1$ |
|
$1$ |
$1032192$ |
$2.874577$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.90733$ |
$[0, 1, 0, -5658176, -6099088176]$ |
\(y^2=x^3+x^2-5658176x-6099088176\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.2, 52.48.0-4.c.1.1, 104.96.1.?, $\ldots$ |
$[(26821/2, 4059375/2)]$ |
| 20280.s4 |
20280y1 |
20280.s |
20280y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.41 |
2B |
$1040$ |
$192$ |
$3$ |
$1.586540007$ |
$1$ |
|
$9$ |
$258048$ |
$2.181427$ |
$83587439220736/13990184325$ |
$1.00034$ |
$5.06375$ |
$[0, 1, 0, -387911, -78529086]$ |
\(y^2=x^3+x^2-387911x-78529086\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.i.1.8, 26.6.0.b.1, $\ldots$ |
$[(-269, 2535)]$ |
| 20280.t1 |
20280ba1 |
20280.t |
20280ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.684374$ |
$-934577152/9375$ |
$0.94283$ |
$3.41953$ |
$[0, 1, 0, -1681, -27325]$ |
\(y^2=x^3+x^2-1681x-27325\) |
390.2.0.? |
$[]$ |
| 20280.u1 |
20280z1 |
20280.u |
20280z |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$89856$ |
$1.531807$ |
$202612/45$ |
$0.94010$ |
$4.25869$ |
$[0, 1, 0, -27096, 1338624]$ |
\(y^2=x^3+x^2-27096x+1338624\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 20280.u2 |
20280z2 |
20280.u |
20280z |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$179712$ |
$1.878382$ |
$1143574/2025$ |
$0.89329$ |
$4.57595$ |
$[0, 1, 0, 60784, 8298720]$ |
\(y^2=x^3+x^2+60784x+8298720\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 20280.v1 |
20280k5 |
20280.v |
20280k |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$122880$ |
$1.762474$ |
$1770025017602/75$ |
$1.12837$ |
$5.16429$ |
$[0, 1, 0, -540856, -153278800]$ |
\(y^2=x^3+x^2-540856x-153278800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0.bj.1, $\ldots$ |
$[]$ |
| 20280.v2 |
20280k3 |
20280.v |
20280k |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$61440$ |
$1.415899$ |
$868327204/5625$ |
$1.10029$ |
$4.32606$ |
$[0, 1, 0, -33856, -2395600]$ |
\(y^2=x^3+x^2-33856x-2395600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0.k.1, 40.48.0.v.1, $\ldots$ |
$[]$ |
| 20280.v3 |
20280k6 |
20280.v |
20280k |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$122880$ |
$1.762474$ |
$-27995042/1171875$ |
$1.07729$ |
$4.48272$ |
$[0, 1, 0, -13576, -5218576]$ |
\(y^2=x^3+x^2-13576x-5218576\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 24.48.0.bo.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 20280.v4 |
20280k2 |
20280.v |
20280k |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$1.069326$ |
$3631696/2025$ |
$1.02576$ |
$3.63403$ |
$[0, 1, 0, -3436, 13664]$ |
\(y^2=x^3+x^2-3436x+13664\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
