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 |
211420.a1 |
211420a1 |
211420.a |
211420a |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$168.3017681$ |
$1$ |
|
$0$ |
$56692800$ |
$3.262642$ |
$-5184072769536/275$ |
$0.99810$ |
$5.64051$ |
$[0, 0, 0, -214256872, -1207119522764]$ |
\(y^2=x^3-214256872x-1207119522764\) |
22.2.0.a.1 |
$[(18511948403919246434231349272274629436589438322431688045057422293468386797/32919693752282015526225411205603011, 12225222454079122595124949573740487131632136991074120181699362158534566025441542880975209124985260343048984065/32919693752282015526225411205603011)]$ |
211420.b1 |
211420b2 |
211420.b |
211420b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5 \cdot 11^{3} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$330$ |
$16$ |
$0$ |
$23.10814054$ |
$1$ |
|
$0$ |
$4017600$ |
$2.351200$ |
$-216421870336/6655$ |
$0.84681$ |
$4.59524$ |
$[0, 1, 0, -2989030, -1990089555]$ |
\(y^2=x^3+x^2-2989030x-1990089555\) |
3.8.0-3.a.1.1, 110.2.0.?, 330.16.0.? |
$[(8498856081/1537, 667862269407915/1537)]$ |
211420.b2 |
211420b1 |
211420.b |
211420b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 11 \cdot 31^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$330$ |
$16$ |
$0$ |
$7.702713515$ |
$1$ |
|
$4$ |
$1339200$ |
$1.801895$ |
$-7936/1375$ |
$0.72610$ |
$3.66418$ |
$[0, 1, 0, -9930, -6604775]$ |
\(y^2=x^3+x^2-9930x-6604775\) |
3.8.0-3.a.1.2, 110.2.0.?, 330.16.0.? |
$[(3394, 197655)]$ |
211420.c1 |
211420c2 |
211420.c |
211420c |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.517920$ |
$94875856/275$ |
$0.82986$ |
$3.63062$ |
$[0, 1, 0, -57980, -5379500]$ |
\(y^2=x^3+x^2-57980x-5379500\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
211420.c2 |
211420c1 |
211420.c |
211420c |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.171347$ |
$1048576/605$ |
$1.25294$ |
$3.03708$ |
$[0, 1, 0, -5125, -9432]$ |
\(y^2=x^3+x^2-5125x-9432\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
211420.d1 |
211420d2 |
211420.d |
211420d |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5 \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6820$ |
$12$ |
$0$ |
$36.47178499$ |
$1$ |
|
$1$ |
$4571136$ |
$2.329990$ |
$12057136/605$ |
$0.72182$ |
$4.30256$ |
$[0, 1, 0, -903660, -316282220]$ |
\(y^2=x^3+x^2-903660x-316282220\) |
2.3.0.a.1, 220.6.0.?, 620.6.0.?, 1364.6.0.?, 6820.12.0.? |
$[(4614313646545381/2054922, 13054690708557650501615/2054922)]$ |
211420.d2 |
211420d1 |
211420.d |
211420d |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6820$ |
$12$ |
$0$ |
$18.23589249$ |
$1$ |
|
$1$ |
$2285568$ |
$1.983418$ |
$1048576/275$ |
$0.80423$ |
$3.87726$ |
$[0, 1, 0, -158885, 17972800]$ |
\(y^2=x^3+x^2-158885x+17972800\) |
2.3.0.a.1, 220.6.0.?, 620.6.0.?, 682.6.0.?, 6820.12.0.? |
$[(165521885/478, 1839181736325/478)]$ |
211420.e1 |
211420e2 |
211420.e |
211420e |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{4} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$3.496154990$ |
$1$ |
|
$1$ |
$1843200$ |
$2.224209$ |
$21354132816/11346775$ |
$0.93738$ |
$4.07236$ |
$[0, 0, 0, -352687, -23058234]$ |
\(y^2=x^3-352687x-23058234\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[(-1674/5, 63426/5)]$ |
211420.e2 |
211420e1 |
211420.e |
211420e |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$6.992309981$ |
$1$ |
|
$3$ |
$921600$ |
$1.877634$ |
$65858420736/581405$ |
$0.96557$ |
$3.93809$ |
$[0, 0, 0, -203732, 35123589]$ |
\(y^2=x^3-203732x+35123589\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(111879, 37421340)]$ |
211420.f1 |
211420g1 |
211420.f |
211420g |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 11 \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$462240$ |
$1.414078$ |
$-98854890649848576/1375$ |
$0.97842$ |
$3.97770$ |
$[0, 0, 0, -239537, 45123941]$ |
\(y^2=x^3-239537x+45123941\) |
110.2.0.? |
$[]$ |
211420.g1 |
211420f1 |
211420.g |
211420f |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$14329440$ |
$3.131069$ |
$-98854890649848576/1375$ |
$0.97842$ |
$5.65806$ |
$[0, 0, 0, -230195057, -1344287326331]$ |
\(y^2=x^3-230195057x-1344287326331\) |
110.2.0.? |
$[]$ |
211420.h1 |
211420j2 |
211420.h |
211420j |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11^{2} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.799927$ |
$3480422102131536/58609375$ |
$0.95093$ |
$5.05114$ |
$[0, 0, 0, -19265167, -32546250426]$ |
\(y^2=x^3-19265167x-32546250426\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[]$ |
211420.h2 |
211420j1 |
211420.h |
211420j |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{4} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.453354$ |
$14907034976256/1758750125$ |
$0.92669$ |
$4.38029$ |
$[0, 0, 0, -1241612, -475136659]$ |
\(y^2=x^3-1241612x-475136659\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[]$ |
211420.i1 |
211420k2 |
211420.i |
211420k |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 11^{2} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6475776$ |
$2.690990$ |
$394274736/75625$ |
$0.99394$ |
$4.58697$ |
$[0, 0, 0, -2889727, -1545974154]$ |
\(y^2=x^3-2889727x-1545974154\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 1364.12.0.? |
$[]$ |
211420.i2 |
211420k1 |
211420.i |
211420k |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3237888$ |
$2.344418$ |
$5382291456/275$ |
$0.90729$ |
$4.57402$ |
$[0, 0, 0, -2740772, -1746378211]$ |
\(y^2=x^3-2740772x-1746378211\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 682.6.0.?, 1364.12.0.? |
$[]$ |
211420.j1 |
211420l2 |
211420.j |
211420l |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 11^{2} \cdot 31^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$1.534904007$ |
$1$ |
|
$11$ |
$442368$ |
$1.458805$ |
$16052858101296/75625$ |
$0.97153$ |
$3.77227$ |
$[0, 0, 0, -103447, 12806286]$ |
\(y^2=x^3-103447x+12806286\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 1364.12.0.? |
$[(187, 30), (-93, 4650)]$ |
211420.j2 |
211420l1 |
211420.j |
211420l |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 11 \cdot 31^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$1.534904007$ |
$1$ |
|
$13$ |
$221184$ |
$1.112230$ |
$65858420736/4296875$ |
$1.00276$ |
$3.09791$ |
$[0, 0, 0, -6572, 193161]$ |
\(y^2=x^3-6572x+193161\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 682.6.0.?, 1364.12.0.? |
$[(32, 125), (186, 2325)]$ |
211420.k1 |
211420h2 |
211420.k |
211420h |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$16.64891285$ |
$1$ |
|
$1$ |
$13713408$ |
$3.175797$ |
$16052858101296/75625$ |
$0.97153$ |
$5.45263$ |
$[0, 0, 0, -99412567, -381512066226]$ |
\(y^2=x^3-99412567x-381512066226\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 1364.12.0.? |
$[(117421267/67, 1161566839830/67)]$ |
211420.k2 |
211420h1 |
211420.k |
211420h |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$8.324456425$ |
$1$ |
|
$3$ |
$6856704$ |
$2.829224$ |
$65858420736/4296875$ |
$1.00276$ |
$4.77827$ |
$[0, 0, 0, -6315692, -5754459351]$ |
\(y^2=x^3-6315692x-5754459351\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 682.6.0.?, 1364.12.0.? |
$[(25328, 4010285)]$ |
211420.l1 |
211420i2 |
211420.l |
211420i |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 11^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$2.580158798$ |
$1$ |
|
$3$ |
$208896$ |
$0.973997$ |
$394274736/75625$ |
$0.99394$ |
$2.90661$ |
$[0, 0, 0, -3007, 51894]$ |
\(y^2=x^3-3007x+51894\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 1364.12.0.? |
$[(18, 60)]$ |
211420.l2 |
211420i1 |
211420.l |
211420i |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1364$ |
$12$ |
$0$ |
$5.160317597$ |
$1$ |
|
$1$ |
$104448$ |
$0.627423$ |
$5382291456/275$ |
$0.90729$ |
$2.89366$ |
$[0, 0, 0, -2852, 58621]$ |
\(y^2=x^3-2852x+58621\) |
2.3.0.a.1, 44.6.0.e.1, 124.6.0.?, 682.6.0.?, 1364.12.0.? |
$[(2263/3, 105400/3)]$ |
211420.m1 |
211420n2 |
211420.m |
211420n |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{14} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$51609600$ |
$3.537292$ |
$241872696679049296/64520263671875$ |
$0.93207$ |
$5.39703$ |
$[0, -1, 0, -79205940, -199178311288]$ |
\(y^2=x^3-x^2-79205940x-199178311288\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
211420.m2 |
211420n1 |
211420.m |
211420n |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{7} \cdot 11^{2} \cdot 31^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25804800$ |
$3.190720$ |
$178629041914249216/8730159453125$ |
$0.98016$ |
$5.14620$ |
$[0, -1, 0, -28412285, 55785519350]$ |
\(y^2=x^3-x^2-28412285x+55785519350\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
211420.n1 |
211420m4 |
211420.n |
211420m |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$20460$ |
$96$ |
$1$ |
$11.13875594$ |
$1$ |
|
$1$ |
$6220800$ |
$2.431442$ |
$154639330142416/33275$ |
$0.97344$ |
$4.79719$ |
$[0, -1, 0, -6823420, 6862702632]$ |
\(y^2=x^3-x^2-6823420x+6862702632\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(2541129/41, 14671650/41)]$ |
211420.n2 |
211420m3 |
211420.n |
211420m |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$20460$ |
$96$ |
$1$ |
$5.569377970$ |
$1$ |
|
$1$ |
$3110400$ |
$2.084869$ |
$610462990336/8857805$ |
$1.02612$ |
$4.11969$ |
$[0, -1, 0, -427965, 106543970]$ |
\(y^2=x^3-x^2-427965x+106543970\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(-3686/3, 394010/3)]$ |
211420.n3 |
211420m2 |
211420.n |
211420m |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$20460$ |
$96$ |
$1$ |
$3.712918647$ |
$1$ |
|
$3$ |
$2073600$ |
$1.882137$ |
$436334416/171875$ |
$0.87819$ |
$3.75506$ |
$[0, -1, 0, -96420, 6544232]$ |
\(y^2=x^3-x^2-96420x+6544232\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(314, 2670)]$ |
211420.n4 |
211420m1 |
211420.n |
211420m |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$20460$ |
$96$ |
$1$ |
$1.856459323$ |
$1$ |
|
$3$ |
$1036800$ |
$1.535564$ |
$643956736/15125$ |
$0.96705$ |
$3.56068$ |
$[0, -1, 0, -43565, -3413650]$ |
\(y^2=x^3-x^2-43565x-3413650\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(2935, 158565)]$ |
211420.o1 |
211420o2 |
211420.o |
211420o |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5 \cdot 11^{3} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10230$ |
$16$ |
$0$ |
$2.190422815$ |
$1$ |
|
$2$ |
$129600$ |
$0.634207$ |
$-216421870336/6655$ |
$0.84681$ |
$2.91488$ |
$[0, -1, 0, -3110, 67805]$ |
\(y^2=x^3-x^2-3110x+67805\) |
3.4.0.a.1, 93.8.0.?, 110.2.0.?, 330.8.0.?, 10230.16.0.? |
$[(31, 15)]$ |
211420.o2 |
211420o1 |
211420.o |
211420o |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{3} \cdot 11 \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10230$ |
$16$ |
$0$ |
$0.730140938$ |
$1$ |
|
$4$ |
$43200$ |
$0.084901$ |
$-7936/1375$ |
$0.72610$ |
$1.98382$ |
$[0, -1, 0, -10, 225]$ |
\(y^2=x^3-x^2-10x+225\) |
3.4.0.a.1, 93.8.0.?, 110.2.0.?, 330.8.0.?, 10230.16.0.? |
$[(0, 15)]$ |
211420.p1 |
211420p2 |
211420.p |
211420p |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 5 \cdot 11^{2} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6820$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$0.612997$ |
$12057136/605$ |
$0.72182$ |
$2.62219$ |
$[0, -1, 0, -940, 10920]$ |
\(y^2=x^3-x^2-940x+10920\) |
2.3.0.a.1, 220.6.0.?, 620.6.0.?, 1364.6.0.?, 6820.12.0.? |
$[]$ |
211420.p2 |
211420p1 |
211420.p |
211420p |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6820$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$73728$ |
$0.266424$ |
$1048576/275$ |
$0.80423$ |
$2.19690$ |
$[0, -1, 0, -165, -550]$ |
\(y^2=x^3-x^2-165x-550\) |
2.3.0.a.1, 220.6.0.?, 620.6.0.?, 682.6.0.?, 6820.12.0.? |
$[]$ |
211420.q1 |
211420q1 |
211420.q |
211420q |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 31^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 31^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$3.630489428$ |
$1$ |
|
$0$ |
$1828800$ |
$1.545650$ |
$-5184072769536/275$ |
$0.99810$ |
$3.96015$ |
$[0, 0, 0, -222952, 40519604]$ |
\(y^2=x^3-222952x+40519604\) |
22.2.0.a.1 |
$[(2077/3, 31465/3)]$ |