| 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 |
| 179776.a1 |
179776a1 |
179776.a |
179776a |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1257984$ |
$1.514730$ |
$-11852352/53$ |
$1.01545$ |
$3.65937$ |
$[0, 0, 0, -53371, 4764064]$ |
\(y^2=x^3-53371x+4764064\) |
212.2.0.? |
$[]$ |
| 179776.b1 |
179776s1 |
179776.b |
179776s |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{18} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.889892430$ |
$1$ |
|
$2$ |
$2875392$ |
$2.036320$ |
$3375/53$ |
$0.83211$ |
$3.94115$ |
$[0, 0, 0, 56180, 26202352]$ |
\(y^2=x^3+56180x+26202352\) |
212.2.0.? |
$[(424, 11236)]$ |
| 179776.c1 |
179776b1 |
179776.c |
179776b |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{35} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$15.27492281$ |
$1$ |
|
$0$ |
$53973504$ |
$3.683640$ |
$-25153757/131072$ |
$1.01122$ |
$5.58312$ |
$[0, 1, 0, -58161281, 539979415423]$ |
\(y^2=x^3+x^2-58161281x+539979415423\) |
424.2.0.? |
$[(227613246959/2393, 107050093193895936/2393)]$ |
| 179776.d1 |
179776t1 |
179776.d |
179776t |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{35} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1018368$ |
$1.698494$ |
$-25153757/131072$ |
$1.01122$ |
$3.61430$ |
$[0, 1, 0, -20705, -3634049]$ |
\(y^2=x^3+x^2-20705x-3634049\) |
424.2.0.? |
$[]$ |
| 179776.e1 |
179776u1 |
179776.e |
179776u |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{15} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.931080659$ |
$1$ |
|
$2$ |
$1257984$ |
$1.861359$ |
$-8/53$ |
$0.89562$ |
$3.77240$ |
$[0, 1, 0, -3745, -9441153]$ |
\(y^2=x^3+x^2-3745x-9441153\) |
424.2.0.? |
$[(1837, 78652)]$ |
| 179776.f1 |
179776c1 |
179776.f |
179776c |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{23} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5391360$ |
$2.578609$ |
$-2305199161/1696$ |
$0.90862$ |
$4.78187$ |
$[0, 1, 0, -4947585, 4236867967]$ |
\(y^2=x^3+x^2-4947585x+4236867967\) |
424.2.0.? |
$[]$ |
| 179776.g1 |
179776d1 |
179776.g |
179776d |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{10} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$424$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$943488$ |
$1.794998$ |
$35995648/53$ |
$0.88587$ |
$3.97969$ |
$[0, 1, 0, -194757, 32974747]$ |
\(y^2=x^3+x^2-194757x+32974747\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 106.6.0.?, 212.24.0.?, $\ldots$ |
$[]$ |
| 179776.g2 |
179776d2 |
179776.g |
179776d |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{14} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$424$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1886976$ |
$2.141571$ |
$-810448/2809$ |
$0.81065$ |
$4.05601$ |
$[0, 1, 0, -138577, 52446735]$ |
\(y^2=x^3+x^2-138577x+52446735\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 212.24.0.?, 424.48.0.? |
$[]$ |
| 179776.h1 |
179776v2 |
179776.h |
179776v |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{19} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$16.97201899$ |
$1$ |
|
$0$ |
$9704448$ |
$2.760960$ |
$-81182737/297754$ |
$0.92112$ |
$4.66993$ |
$[0, 1, 0, -1621729, -2153809281]$ |
\(y^2=x^3+x^2-1621729x-2153809281\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 424.2.0.?, 1272.16.0.? |
$[(11522529771/595, 1235896681724256/595)]$ |
| 179776.h2 |
179776v1 |
179776.h |
179776v |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{21} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$5.657339665$ |
$1$ |
|
$0$ |
$3234816$ |
$2.211655$ |
$103823/424$ |
$0.82910$ |
$4.10349$ |
$[0, 1, 0, 176031, 70019839]$ |
\(y^2=x^3+x^2+176031x+70019839\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 424.2.0.?, 1272.16.0.? |
$[(39795/17, 48359744/17)]$ |
| 179776.i1 |
179776w1 |
179776.i |
179776w |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.344018281$ |
$1$ |
|
$2$ |
$718848$ |
$1.351673$ |
$85184/53$ |
$0.74377$ |
$3.25082$ |
$[0, -1, 0, 10300, 106846]$ |
\(y^2=x^3-x^2+10300x+106846\) |
212.2.0.? |
$[(495, 11236)]$ |
| 179776.j1 |
179776x1 |
179776.j |
179776x |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{15} \cdot 53^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.531567465$ |
$1$ |
|
$12$ |
$231552$ |
$0.954629$ |
$-22472$ |
$0.82039$ |
$3.00612$ |
$[0, -1, 0, -3745, 92801]$ |
\(y^2=x^3-x^2-3745x+92801\) |
8.2.0.a.1 |
$[(-35, 424), (125/2, 583/2)]$ |
| 179776.k1 |
179776y1 |
179776.k |
179776y |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{22} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.907681884$ |
$1$ |
|
$2$ |
$4313088$ |
$2.383141$ |
$-47045881/848$ |
$1.00810$ |
$4.46265$ |
$[0, -1, 0, -1352065, 614926721]$ |
\(y^2=x^3-x^2-1352065x+614926721\) |
212.2.0.? |
$[(-1201, 22472)]$ |
| 179776.l1 |
179776e2 |
179776.l |
179776e |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{28} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$25.74981169$ |
$1$ |
|
$0$ |
$31749120$ |
$3.627110$ |
$-9814089221/1024$ |
$1.00251$ |
$5.88592$ |
$[0, -1, 0, -424994209, -3372434610367]$ |
\(y^2=x^3-x^2-424994209x-3372434610367\) |
5.6.0.a.1, 20.12.0.p.2, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[(4829220114181/13181, 5743001323662435328/13181)]$ |
| 179776.l2 |
179776e1 |
179776.l |
179776e |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{20} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$5.149962339$ |
$1$ |
|
$2$ |
$6349824$ |
$2.822392$ |
$6859/4$ |
$1.01545$ |
$4.71447$ |
$[0, -1, 0, 3771551, -249076735]$ |
\(y^2=x^3-x^2+3771551x-249076735\) |
5.6.0.a.1, 20.12.0.p.1, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[(77, 6464)]$ |
| 179776.m1 |
179776z1 |
179776.m |
179776z |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{14} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.449720126$ |
$1$ |
|
$4$ |
$1078272$ |
$1.816334$ |
$-35152/53$ |
$0.70049$ |
$3.74196$ |
$[0, -1, 0, -48689, 7868113]$ |
\(y^2=x^3-x^2-48689x+7868113\) |
212.2.0.? |
$[(813, 22472)]$ |
| 179776.n1 |
179776f2 |
179776.n |
179776f |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{19} \cdot 53^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$2.156359978$ |
$1$ |
|
$6$ |
$186624$ |
$1.117760$ |
$-6046458625/2$ |
$0.97049$ |
$3.54891$ |
$[0, -1, 0, -34273, 2453633]$ |
\(y^2=x^3-x^2-34273x+2453633\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 318.8.0.?, 1272.16.0.? |
$[(109, 32), (12533/13, 1231712/13)]$ |
| 179776.n2 |
179776f1 |
179776.n |
179776f |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{21} \cdot 53^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$2.156359978$ |
$1$ |
|
$6$ |
$62208$ |
$0.568453$ |
$-6625/8$ |
$0.80472$ |
$2.50779$ |
$[0, -1, 0, -353, 4609]$ |
\(y^2=x^3-x^2-353x+4609\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 318.8.0.?, 1272.16.0.? |
$[(-19, 64), (11, 44)]$ |
| 179776.o1 |
179776ba2 |
179776.o |
179776ba |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{19} \cdot 53^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9891072$ |
$3.102905$ |
$-6046458625/2$ |
$0.97049$ |
$5.51774$ |
$[0, -1, 0, -96273793, -363556597375]$ |
\(y^2=x^3-x^2-96273793x-363556597375\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 24.16.0-24.a.1.4 |
$[]$ |
| 179776.o2 |
179776ba1 |
179776.o |
179776ba |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{21} \cdot 53^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3297024$ |
$2.553600$ |
$-6625/8$ |
$0.80472$ |
$4.47662$ |
$[0, -1, 0, -992513, -668314367]$ |
\(y^2=x^3-x^2-992513x-668314367\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 24.16.0-24.a.1.2 |
$[]$ |
| 179776.p1 |
179776g2 |
179776.p |
179776g |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{26} \cdot 53^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$10.39046709$ |
$1$ |
|
$2$ |
$77635584$ |
$4.002266$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.46672$ |
$[0, -1, 0, -4423032673, 113222828173313]$ |
\(y^2=x^3-x^2-4423032673x+113222828173313\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(40139, 595508), (231731509/77, 106750988800/77)]$ |
| 179776.p2 |
179776g1 |
179776.p |
179776g |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{42} \cdot 53^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$10.39046709$ |
$1$ |
|
$2$ |
$25878528$ |
$3.452957$ |
$-2507141976625/889192448$ |
$0.97433$ |
$5.39913$ |
$[0, -1, 0, -50880353, 177424263169]$ |
\(y^2=x^3-x^2-50880353x+177424263169\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(568989/7, 368181248/7), (1131, 348316)]$ |
| 179776.q1 |
179776bb2 |
179776.q |
179776bb |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{28} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.641964$ |
$-9814089221/1024$ |
$1.00251$ |
$3.91710$ |
$[0, -1, 0, -151297, 22703873]$ |
\(y^2=x^3-x^2-151297x+22703873\) |
5.6.0.a.1, 20.12.0.p.2, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[]$ |
| 179776.q2 |
179776bb1 |
179776.q |
179776bb |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{20} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$119808$ |
$0.837246$ |
$6859/4$ |
$1.01545$ |
$2.74565$ |
$[0, -1, 0, 1343, 1217]$ |
\(y^2=x^3-x^2+1343x+1217\) |
5.6.0.a.1, 20.12.0.p.1, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[]$ |
| 179776.r1 |
179776bc1 |
179776.r |
179776bc |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{15} \cdot 53^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$96.55869012$ |
$1$ |
|
$0$ |
$12272256$ |
$2.939774$ |
$-22472$ |
$0.82039$ |
$4.97495$ |
$[0, -1, 0, -10520641, -13626568447]$ |
\(y^2=x^3-x^2-10520641x-13626568447\) |
8.2.0.a.1 |
$[(634448296450258885239373876028175472910897/10952220330277841144, 368477878548655207026311400796367925820385986329980667536013175/10952220330277841144)]$ |
| 179776.s1 |
179776h2 |
179776.s |
179776h |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{12} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.099711276$ |
$1$ |
|
$5$ |
$68224$ |
$0.375187$ |
$1728$ |
|
$2.28798$ |
$[0, 0, 0, -212, 0]$ |
\(y^2=x^3-212x\) |
|
$[(-4, 28)]$ |
| 179776.s2 |
179776h1 |
179776.s |
179776h |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.199422553$ |
$1$ |
|
$1$ |
$34112$ |
$0.028614$ |
$1728$ |
|
$1.94426$ |
$[0, 0, 0, 53, 0]$ |
\(y^2=x^3+53x\) |
|
$[(49/2, 399/2)]$ |
| 179776.t1 |
179776i4 |
179776.t |
179776i |
$4$ |
$4$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{15} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$565760$ |
$1.714334$ |
$287496$ |
$1.17246$ |
$3.86694$ |
$[0, 0, 0, -123596, -16674224]$ |
\(y^2=x^3-123596x-16674224\) |
|
$[]$ |
| 179776.t2 |
179776i3 |
179776.t |
179776i |
$4$ |
$4$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{15} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$565760$ |
$1.714334$ |
$287496$ |
$1.17246$ |
$3.86694$ |
$[0, 0, 0, -123596, 16674224]$ |
\(y^2=x^3-123596x+16674224\) |
|
$[]$ |
| 179776.t3 |
179776i2 |
179776.t |
179776i |
$4$ |
$4$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{12} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$1$ |
$1$ |
|
$3$ |
$282880$ |
$1.367760$ |
$1728$ |
|
$3.27240$ |
$[0, 0, 0, -11236, 0]$ |
\(y^2=x^3-11236x\) |
|
$[]$ |
| 179776.t4 |
179776i1 |
179776.t |
179776i |
$4$ |
$4$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$141440$ |
$1.021187$ |
$1728$ |
|
$2.92867$ |
$[0, 0, 0, 2809, 0]$ |
\(y^2=x^3+2809x\) |
|
$[]$ |
| 179776.u1 |
179776j2 |
179776.u |
179776j |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( 2^{12} \cdot 53^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$47.09727005$ |
$1$ |
|
$1$ |
$3615872$ |
$2.360332$ |
$1728$ |
|
$4.25681$ |
$[0, 0, 0, -595508, 0]$ |
\(y^2=x^3-595508x\) |
|
$[(-390585174892909799716/726002785, 2243218387804107185496941891548/726002785)]$ |
| 179776.u2 |
179776j1 |
179776.u |
179776j |
$2$ |
$2$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$94.19454010$ |
$1$ |
|
$1$ |
$1807936$ |
$2.013760$ |
$1728$ |
|
$3.91308$ |
$[0, 0, 0, 148877, 0]$ |
\(y^2=x^3+148877x\) |
|
$[(3220826761257729347171418553377305877961/14348158456785551110, 4511765612133421398657441605705091271584625336834442515826541/14348158456785551110)]$ |
| 179776.v1 |
179776k1 |
179776.v |
179776k |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{22} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4313088$ |
$2.383141$ |
$-47045881/848$ |
$1.00810$ |
$4.46265$ |
$[0, 1, 0, -1352065, -614926721]$ |
\(y^2=x^3+x^2-1352065x-614926721\) |
212.2.0.? |
$[]$ |
| 179776.w1 |
179776bd1 |
179776.w |
179776bd |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{15} \cdot 53^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.550692301$ |
$1$ |
|
$6$ |
$231552$ |
$0.954629$ |
$-22472$ |
$0.82039$ |
$3.00612$ |
$[0, 1, 0, -3745, -92801]$ |
\(y^2=x^3+x^2-3745x-92801\) |
8.2.0.a.1 |
$[(141, 1484), (459, 9752)]$ |
| 179776.x1 |
179776be1 |
179776.x |
179776be |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{6} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$5.965432577$ |
$1$ |
|
$2$ |
$718848$ |
$1.351673$ |
$85184/53$ |
$0.74377$ |
$3.25082$ |
$[0, 1, 0, 10300, -106846]$ |
\(y^2=x^3+x^2+10300x-106846\) |
212.2.0.? |
$[(55685, 13140502)]$ |
| 179776.y1 |
179776bf2 |
179776.y |
179776bf |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{28} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31749120$ |
$3.627110$ |
$-9814089221/1024$ |
$1.00251$ |
$5.88592$ |
$[0, 1, 0, -424994209, 3372434610367]$ |
\(y^2=x^3+x^2-424994209x+3372434610367\) |
5.6.0.a.1, 20.12.0.p.2, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[]$ |
| 179776.y2 |
179776bf1 |
179776.y |
179776bf |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{20} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6349824$ |
$2.822392$ |
$6859/4$ |
$1.01545$ |
$4.71447$ |
$[0, 1, 0, 3771551, 249076735]$ |
\(y^2=x^3+x^2+3771551x+249076735\) |
5.6.0.a.1, 20.12.0.p.1, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[]$ |
| 179776.z1 |
179776l1 |
179776.z |
179776l |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{14} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$1.816334$ |
$-35152/53$ |
$0.70049$ |
$3.74196$ |
$[0, 1, 0, -48689, -7868113]$ |
\(y^2=x^3+x^2-48689x-7868113\) |
212.2.0.? |
$[]$ |
| 179776.ba1 |
179776bg2 |
179776.ba |
179776bg |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{26} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$49.35612059$ |
$1$ |
|
$0$ |
$77635584$ |
$4.002266$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$6.46672$ |
$[0, 1, 0, -4423032673, -113222828173313]$ |
\(y^2=x^3+x^2-4423032673x-113222828173313\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(4377125718036007813771381/5803253733, 7588154950059712490647577484305154740/5803253733)]$ |
| 179776.ba2 |
179776bg1 |
179776.ba |
179776bg |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{42} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$16.45204019$ |
$1$ |
|
$0$ |
$25878528$ |
$3.452957$ |
$-2507141976625/889192448$ |
$0.97433$ |
$5.39913$ |
$[0, 1, 0, -50880353, -177424263169]$ |
\(y^2=x^3+x^2-50880353x-177424263169\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 212.2.0.?, 636.8.0.?, 1272.16.0.? |
$[(2691831461/547, 49927904193964/547)]$ |
| 179776.bb1 |
179776m2 |
179776.bb |
179776m |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{19} \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$6.910496428$ |
$1$ |
|
$0$ |
$9891072$ |
$3.102905$ |
$-6046458625/2$ |
$0.97049$ |
$5.51774$ |
$[0, 1, 0, -96273793, 363556597375]$ |
\(y^2=x^3+x^2-96273793x+363556597375\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.1 |
$[(-94575/4, 54536735/4)]$ |
| 179776.bb2 |
179776m1 |
179776.bb |
179776m |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{21} \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$20.73148928$ |
$1$ |
|
$0$ |
$3297024$ |
$2.553600$ |
$-6625/8$ |
$0.80472$ |
$4.47662$ |
$[0, 1, 0, -992513, 668314367]$ |
\(y^2=x^3+x^2-992513x+668314367\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.3 |
$[(-388916959/788, 15814770912985/788)]$ |
| 179776.bc1 |
179776bh2 |
179776.bc |
179776bh |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{19} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$26.71469873$ |
$1$ |
|
$0$ |
$186624$ |
$1.117760$ |
$-6046458625/2$ |
$0.97049$ |
$3.54891$ |
$[0, 1, 0, -34273, -2453633]$ |
\(y^2=x^3+x^2-34273x-2453633\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 636.8.0.?, 1272.16.0.? |
$[(325056370849/26436, 167753230739643815/26436)]$ |
| 179776.bc2 |
179776bh1 |
179776.bc |
179776bh |
$2$ |
$3$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{21} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1272$ |
$16$ |
$0$ |
$8.904899577$ |
$1$ |
|
$0$ |
$62208$ |
$0.568453$ |
$-6625/8$ |
$0.80472$ |
$2.50779$ |
$[0, 1, 0, -353, -4609]$ |
\(y^2=x^3+x^2-353x-4609\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 636.8.0.?, 1272.16.0.? |
$[(7169/4, 607127/4)]$ |
| 179776.bd1 |
179776n2 |
179776.bd |
179776n |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{28} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$7.692911787$ |
$1$ |
|
$0$ |
$599040$ |
$1.641964$ |
$-9814089221/1024$ |
$1.00251$ |
$3.91710$ |
$[0, 1, 0, -151297, -22703873]$ |
\(y^2=x^3+x^2-151297x-22703873\) |
5.6.0.a.1, 20.12.0.p.2, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[(623239/21, 471135232/21)]$ |
| 179776.bd2 |
179776n1 |
179776.bd |
179776n |
$2$ |
$5$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{20} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$2120$ |
$48$ |
$1$ |
$1.538582357$ |
$1$ |
|
$0$ |
$119808$ |
$0.837246$ |
$6859/4$ |
$1.01545$ |
$2.74565$ |
$[0, 1, 0, 1343, -1217]$ |
\(y^2=x^3+x^2+1343x-1217\) |
5.6.0.a.1, 20.12.0.p.1, 212.2.0.?, 265.12.0.?, 1060.24.1.?, $\ldots$ |
$[(103/3, 3392/3)]$ |
| 179776.be1 |
179776bi1 |
179776.be |
179776bi |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{15} \cdot 53^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$42.21023292$ |
$1$ |
|
$0$ |
$12272256$ |
$2.939774$ |
$-22472$ |
$0.82039$ |
$4.97495$ |
$[0, 1, 0, -10520641, 13626568447]$ |
\(y^2=x^3+x^2-10520641x+13626568447\) |
8.2.0.a.1 |
$[(1161703040157202017/30994448, 1539693514587585403649060975/30994448)]$ |
| 179776.bf1 |
179776bj1 |
179776.bf |
179776bj |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{35} \cdot 53^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53973504$ |
$3.683640$ |
$-25153757/131072$ |
$1.01122$ |
$5.58312$ |
$[0, -1, 0, -58161281, -539979415423]$ |
\(y^2=x^3-x^2-58161281x-539979415423\) |
424.2.0.? |
$[]$ |
| 179776.bg1 |
179776bk1 |
179776.bg |
179776bk |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{23} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$24.60030006$ |
$1$ |
|
$0$ |
$5391360$ |
$2.578609$ |
$-2305199161/1696$ |
$0.90862$ |
$4.78187$ |
$[0, -1, 0, -4947585, -4236867967]$ |
\(y^2=x^3-x^2-4947585x-4236867967\) |
424.2.0.? |
$[(11981772463423/37719, 39846447284382900296/37719)]$ |
