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 |
25872.a1 |
25872b1 |
25872.a |
25872b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79488$ |
$1.088118$ |
$-37811178496/2381643$ |
$1.07690$ |
$3.71896$ |
$[0, -1, 0, -5945, -183819]$ |
\(y^2=x^3-x^2-5945x-183819\) |
6.2.0.a.1 |
$[]$ |
25872.b1 |
25872cc1 |
25872.b |
25872cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21504$ |
$0.543947$ |
$17999471/24057$ |
$0.89764$ |
$2.87229$ |
$[0, -1, 0, 320, -2624]$ |
\(y^2=x^3-x^2+320x-2624\) |
132.2.0.? |
$[]$ |
25872.c1 |
25872bq1 |
25872.c |
25872bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{11} \cdot 7^{3} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$7.846058616$ |
$1$ |
|
$0$ |
$84480$ |
$1.458776$ |
$-235165059164416/28529701497$ |
$1.00750$ |
$4.12285$ |
$[0, -1, 0, -22682, -1438569]$ |
\(y^2=x^3-x^2-22682x-1438569\) |
462.2.0.? |
$[(4549/5, 81557/5)]$ |
25872.d1 |
25872bf1 |
25872.d |
25872bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$3.637116264$ |
$1$ |
|
$2$ |
$72576$ |
$1.338507$ |
$-3451273/2376$ |
$0.85964$ |
$3.90939$ |
$[0, -1, 0, -9032, -485904]$ |
\(y^2=x^3-x^2-9032x-485904\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 264.16.0.? |
$[(196, 2288)]$ |
25872.d2 |
25872bf2 |
25872.d |
25872bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{21} \cdot 3 \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.212372088$ |
$1$ |
|
$4$ |
$217728$ |
$1.887814$ |
$1843623047/2044416$ |
$0.94673$ |
$4.45039$ |
$[0, -1, 0, 73288, 7285104]$ |
\(y^2=x^3-x^2+73288x+7285104\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 264.16.0.? |
$[(-68, 1408)]$ |
25872.e1 |
25872bp2 |
25872.e |
25872bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{19} \cdot 3^{12} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$4.682682833$ |
$1$ |
|
$3$ |
$258048$ |
$2.015274$ |
$46546832455691959/748268928$ |
$1.13125$ |
$5.17027$ |
$[0, -1, 0, -839344, -295693376]$ |
\(y^2=x^3-x^2-839344x-295693376\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(2389, 106434)]$ |
25872.e2 |
25872bp1 |
25872.e |
25872bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{26} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$2.341341416$ |
$1$ |
|
$5$ |
$129024$ |
$1.668699$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$4.36381$ |
$[0, -1, 0, -50864, -4901952]$ |
\(y^2=x^3-x^2-50864x-4901952\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(341, 4158)]$ |
25872.f1 |
25872e2 |
25872.f |
25872e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{3} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.992767729$ |
$1$ |
|
$13$ |
$20480$ |
$0.696919$ |
$5476248398/891$ |
$1.10218$ |
$3.53177$ |
$[0, -1, 0, -3264, 72864]$ |
\(y^2=x^3-x^2-3264x+72864\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(42, 90), (34, 6)]$ |
25872.f2 |
25872e1 |
25872.f |
25872e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{3} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.498191932$ |
$1$ |
|
$27$ |
$10240$ |
$0.350346$ |
$-1972156/1089$ |
$0.95185$ |
$2.74914$ |
$[0, -1, 0, -184, 1408]$ |
\(y^2=x^3-x^2-184x+1408\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(-2, 42), (6, 22)]$ |
25872.g1 |
25872bo4 |
25872.g |
25872bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{17} \cdot 3^{12} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.848706495$ |
$1$ |
|
$7$ |
$2211840$ |
$3.005409$ |
$86129359107301290313/9166294368$ |
$1.03413$ |
$6.48520$ |
$[0, -1, 0, -72131544, 235819764720]$ |
\(y^2=x^3-x^2-72131544x+235819764720\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(4898, 686)]$ |
25872.g2 |
25872bo2 |
25872.g |
25872bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{22} \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$3.697412990$ |
$1$ |
|
$7$ |
$1105920$ |
$2.658833$ |
$21184262604460873/216872764416$ |
$1.00370$ |
$5.66733$ |
$[0, -1, 0, -4519384, 3666652144]$ |
\(y^2=x^3-x^2-4519384x+3666652144\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[(-51, 62426)]$ |
25872.g3 |
25872bo3 |
25872.g |
25872bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{14} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$7.394825981$ |
$1$ |
|
$1$ |
$2211840$ |
$3.005409$ |
$-333345918055753/72923718045024$ |
$1.06509$ |
$5.84308$ |
$[0, -1, 0, -1132504, 9031470064]$ |
\(y^2=x^3-x^2-1132504x+9031470064\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(11397/2, 1360645/2)]$ |
25872.g4 |
25872bo1 |
25872.g |
25872bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{32} \cdot 3^{3} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$7.394825981$ |
$1$ |
|
$1$ |
$552960$ |
$2.312260$ |
$29609739866953/15259926528$ |
$1.00455$ |
$5.02045$ |
$[0, -1, 0, -505304, -45569040]$ |
\(y^2=x^3-x^2-505304x-45569040\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[(-2279/4, 310219/4)]$ |
25872.h1 |
25872d4 |
25872.h |
25872d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{6} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.611077792$ |
$1$ |
|
$17$ |
$49152$ |
$1.185368$ |
$5690357426/891$ |
$0.97486$ |
$4.11007$ |
$[0, -1, 0, -23144, 1362768]$ |
\(y^2=x^3-x^2-23144x+1362768\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(82, 98), (98, 162)]$ |
25872.h2 |
25872d2 |
25872.h |
25872d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1.611077792$ |
$1$ |
|
$31$ |
$24576$ |
$0.838795$ |
$3650692/1089$ |
$0.89911$ |
$3.31834$ |
$[0, -1, 0, -1584, 17424]$ |
\(y^2=x^3-x^2-1584x+17424\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[(0, 132), (5, 98)]$ |
25872.h3 |
25872d1 |
25872.h |
25872d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$6.444311169$ |
$1$ |
|
$7$ |
$12288$ |
$0.492221$ |
$810448/33$ |
$0.82188$ |
$3.03378$ |
$[0, -1, 0, -604, -5312]$ |
\(y^2=x^3-x^2-604x-5312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[(-12, 8), (48, 272)]$ |
25872.h4 |
25872d3 |
25872.h |
25872d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 7^{6} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.611077792$ |
$1$ |
|
$17$ |
$49152$ |
$1.185368$ |
$36382894/43923$ |
$0.96093$ |
$3.62096$ |
$[0, -1, 0, 4296, 111504]$ |
\(y^2=x^3-x^2+4296x+111504\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(-16, 196), (40, 588)]$ |
25872.i1 |
25872bn1 |
25872.i |
25872bn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$3.706378857$ |
$1$ |
|
$2$ |
$3456$ |
$-0.029732$ |
$-768208/297$ |
$0.76676$ |
$2.31283$ |
$[0, -1, 0, -44, -132]$ |
\(y^2=x^3-x^2-44x-132\) |
132.2.0.? |
$[(37, 218)]$ |
25872.j1 |
25872f4 |
25872.j |
25872f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{12} \cdot 7^{14} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$3.310093$ |
$14171198121996897746/4077720290568771$ |
$1.03437$ |
$6.23938$ |
$[0, -1, 0, -31371384, -47944627632]$ |
\(y^2=x^3-x^2-31371384x-47944627632\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
25872.j2 |
25872f2 |
25872.j |
25872f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{10} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$2211840$ |
$2.963520$ |
$21843440425782779332/3100814593569$ |
$1.02507$ |
$6.21375$ |
$[0, -1, 0, -28762624, -59356387376]$ |
\(y^2=x^3-x^2-28762624x-59356387376\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
25872.j3 |
25872f1 |
25872.j |
25872f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1105920$ |
$2.616947$ |
$87364831012240243408/1760913$ |
$1.02507$ |
$6.21374$ |
$[0, -1, 0, -28761644, -59360635872]$ |
\(y^2=x^3-x^2-28761644x-59360635872\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
25872.j4 |
25872f3 |
25872.j |
25872f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{8} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$3.310093$ |
$-8226100326647904626/4152140742401883$ |
$1.03134$ |
$6.24757$ |
$[0, -1, 0, -26169544, -70496259056]$ |
\(y^2=x^3-x^2-26169544x-70496259056\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[]$ |
25872.k1 |
25872bz2 |
25872.k |
25872bz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{5} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86400$ |
$1.388317$ |
$932410994128/29403$ |
$0.99766$ |
$4.40725$ |
$[0, -1, 0, -63324, 6154380]$ |
\(y^2=x^3-x^2-63324x+6154380\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
25872.k2 |
25872bz1 |
25872.k |
25872bz |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43200$ |
$1.041744$ |
$-3196715008/649539$ |
$1.08791$ |
$3.60542$ |
$[0, -1, 0, -3789, 105624]$ |
\(y^2=x^3-x^2-3789x+105624\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
25872.l1 |
25872by4 |
25872.l |
25872by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$110592$ |
$1.571148$ |
$4824238966273/66$ |
$1.02376$ |
$4.84188$ |
$[0, -1, 0, -275984, -55713216]$ |
\(y^2=x^3-x^2-275984x-55713216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.2, 264.24.0.?, $\ldots$ |
$[]$ |
25872.l2 |
25872by2 |
25872.l |
25872by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$1.224575$ |
$1180932193/4356$ |
$0.96736$ |
$4.02353$ |
$[0, -1, 0, -17264, -864576]$ |
\(y^2=x^3-x^2-17264x-864576\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[]$ |
25872.l3 |
25872by3 |
25872.l |
25872by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.571148$ |
$-192100033/2371842$ |
$1.02507$ |
$4.15050$ |
$[0, -1, 0, -9424, -1661120]$ |
\(y^2=x^3-x^2-9424x-1661120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$ |
$[]$ |
25872.l4 |
25872by1 |
25872.l |
25872by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.878001$ |
$912673/528$ |
$1.18336$ |
$3.31834$ |
$[0, -1, 0, -1584, 960]$ |
\(y^2=x^3-x^2-1584x+960\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.1, 56.24.0-8.m.1.4, $\ldots$ |
$[]$ |
25872.m1 |
25872a1 |
25872.m |
25872a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$0.364157006$ |
$1$ |
|
$6$ |
$8832$ |
$0.254567$ |
$-98/33$ |
$1.17922$ |
$2.59437$ |
$[0, -1, 0, -16, -608]$ |
\(y^2=x^3-x^2-16x-608\) |
264.2.0.? |
$[(12, 28)]$ |
25872.n1 |
25872bj1 |
25872.n |
25872bj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{13} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$10.63995054$ |
$1$ |
|
$0$ |
$59904$ |
$1.482618$ |
$-719152519936/122762871$ |
$0.93275$ |
$4.13426$ |
$[0, -1, 0, -23046, -1524753]$ |
\(y^2=x^3-x^2-23046x-1524753\) |
462.2.0.? |
$[(277289/13, 145319153/13)]$ |
25872.o1 |
25872c1 |
25872.o |
25872c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.430711$ |
$369381632/216513$ |
$1.00539$ |
$2.78889$ |
$[0, -1, 0, 264, 99]$ |
\(y^2=x^3-x^2+264x+99\) |
462.2.0.? |
$[]$ |
25872.p1 |
25872bc2 |
25872.p |
25872bc |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{24} \cdot 3 \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$2.339134$ |
$-448504189023625/135168$ |
$1.00404$ |
$5.67094$ |
$[0, -1, 0, -4575048, 3768057840]$ |
\(y^2=x^3-x^2-4575048x+3768057840\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0-3.a.1.1, 132.16.0.? |
$[]$ |
25872.p2 |
25872bc1 |
25872.p |
25872bc |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{3} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.789827$ |
$-500313625/574992$ |
$0.92953$ |
$4.42969$ |
$[0, -1, 0, -47448, 6889968]$ |
\(y^2=x^3-x^2-47448x+6889968\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 66.8.0-3.a.1.2, 132.16.0.? |
$[]$ |
25872.q1 |
25872bg2 |
25872.q |
25872bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$5.522840733$ |
$1$ |
|
$3$ |
$1376256$ |
$2.944614$ |
$121681065322255375/12702096$ |
$1.09278$ |
$6.41390$ |
$[0, -1, 0, -56656168, 164160565360]$ |
\(y^2=x^3-x^2-56656168x+164160565360\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[(-4230, 572810)]$ |
25872.q2 |
25872bg1 |
25872.q |
25872bg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{20} \cdot 3^{4} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$2.761420366$ |
$1$ |
|
$3$ |
$688128$ |
$2.598042$ |
$-29489309167375/303595776$ |
$1.06746$ |
$5.59631$ |
$[0, -1, 0, -3532328, 2579093616]$ |
\(y^2=x^3-x^2-3532328x+2579093616\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[(1028, 5760)]$ |
25872.r1 |
25872bt1 |
25872.r |
25872bt |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3 \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.371923$ |
$-765625/33$ |
$0.93577$ |
$4.07416$ |
$[0, -1, 0, -20008, -1122512]$ |
\(y^2=x^3-x^2-20008x-1122512\) |
132.2.0.? |
$[]$ |
25872.s1 |
25872bs1 |
25872.s |
25872bs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{28} \cdot 3^{5} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.284681$ |
$-44681709625/175177728$ |
$1.06286$ |
$3.81691$ |
$[0, -1, 0, -4328, 307056]$ |
\(y^2=x^3-x^2-4328x+307056\) |
132.2.0.? |
$[]$ |
25872.t1 |
25872bu2 |
25872.t |
25872bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{16} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1146880$ |
$2.717907$ |
$14553591673375/5208653241$ |
$1.01238$ |
$5.52507$ |
$[0, -1, 0, -2791448, 1109780400]$ |
\(y^2=x^3-x^2-2791448x+1109780400\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[]$ |
25872.t2 |
25872bu1 |
25872.t |
25872bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{8} \cdot 7^{9} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$573440$ |
$2.371334$ |
$98931640625/96059601$ |
$1.13077$ |
$5.03386$ |
$[0, -1, 0, 528792, 121676976]$ |
\(y^2=x^3-x^2+528792x+121676976\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[]$ |
25872.u1 |
25872i2 |
25872.u |
25872i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.392174376$ |
$1$ |
|
$7$ |
$73728$ |
$1.321524$ |
$4866277250/43659$ |
$0.89537$ |
$4.09468$ |
$[0, -1, 0, -21968, -1236192]$ |
\(y^2=x^3-x^2-21968x-1236192\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(-86, 98)]$ |
25872.u2 |
25872i1 |
25872.u |
25872i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.696087188$ |
$1$ |
|
$9$ |
$36864$ |
$0.974950$ |
$-62500/7623$ |
$0.98433$ |
$3.44509$ |
$[0, -1, 0, -408, -46080]$ |
\(y^2=x^3-x^2-408x-46080\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(54, 294)]$ |
25872.v1 |
25872br2 |
25872.v |
25872br |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 3^{8} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.736311$ |
$129938649625/7072758$ |
$0.93356$ |
$4.48617$ |
$[0, -1, 0, -82728, -8689680]$ |
\(y^2=x^3-x^2-82728x-8689680\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
25872.v2 |
25872br1 |
25872.v |
25872br |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{4} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.389738$ |
$9938375/274428$ |
$0.92985$ |
$3.93165$ |
$[0, -1, 0, 3512, -548624]$ |
\(y^2=x^3-x^2+3512x-548624\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
25872.w1 |
25872bd1 |
25872.w |
25872bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3 \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.442140554$ |
$1$ |
|
$6$ |
$28224$ |
$1.011166$ |
$-7168000/363$ |
$0.86104$ |
$3.63958$ |
$[0, -1, 0, -4573, 125665]$ |
\(y^2=x^3-x^2-4573x+125665\) |
6.2.0.a.1 |
$[(33, 98)]$ |
25872.x1 |
25872bv1 |
25872.x |
25872bv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$0.556269$ |
$3584000/29403$ |
$0.93683$ |
$2.94068$ |
$[0, -1, 0, 187, 3501]$ |
\(y^2=x^3-x^2+187x+3501\) |
6.2.0.a.1 |
$[]$ |
25872.y1 |
25872bi1 |
25872.y |
25872bi |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.875219248$ |
$1$ |
|
$2$ |
$4608$ |
$-0.103816$ |
$-562432/297$ |
$1.11827$ |
$2.21424$ |
$[0, -1, 0, -30, 99]$ |
\(y^2=x^3-x^2-30x+99\) |
462.2.0.? |
$[(5, 7)]$ |
25872.z1 |
25872bh1 |
25872.z |
25872bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{7} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$2.337835006$ |
$1$ |
|
$2$ |
$69120$ |
$1.318909$ |
$17643776/30438639$ |
$1.02061$ |
$3.85139$ |
$[0, -1, 0, 670, 363903]$ |
\(y^2=x^3-x^2+670x+363903\) |
462.2.0.? |
$[(-51, 441)]$ |
25872.ba1 |
25872j1 |
25872.ba |
25872j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$3.613868685$ |
$1$ |
|
$2$ |
$27648$ |
$1.113440$ |
$-91238612224/251559$ |
$0.90714$ |
$3.90610$ |
$[0, -1, 0, -11580, -476937]$ |
\(y^2=x^3-x^2-11580x-476937\) |
462.2.0.? |
$[(1223, 42581)]$ |
25872.bb1 |
25872bw1 |
25872.bb |
25872bw |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{9} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.670800$ |
$17643776/11319$ |
$0.84187$ |
$3.06409$ |
$[0, -1, 0, 670, -2421]$ |
\(y^2=x^3-x^2+670x-2421\) |
462.2.0.? |
$[]$ |
25872.bc1 |
25872bl1 |
25872.bc |
25872bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$9.751687480$ |
$1$ |
|
$0$ |
$28800$ |
$0.931013$ |
$47061251888/39135393$ |
$1.04081$ |
$3.34731$ |
$[0, -1, 0, 1748, -19172]$ |
\(y^2=x^3-x^2+1748x-19172\) |
132.2.0.? |
$[(5001/19, 594404/19)]$ |