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 |
76296.a1 |
76296d1 |
76296.a |
76296d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1548288$ |
$2.177319$ |
$55635379958596/24057$ |
$1.02905$ |
$4.94385$ |
$[0, -1, 0, -2316720, -1356473124]$ |
\(y^2=x^3-x^2-2316720x-1356473124\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
76296.a2 |
76296d2 |
76296.a |
76296d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3096576$ |
$2.523891$ |
$-27403349188178/578739249$ |
$1.02957$ |
$4.94570$ |
$[0, -1, 0, -2305160, -1370691924]$ |
\(y^2=x^3-x^2-2305160x-1370691924\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
76296.b1 |
76296n1 |
76296.b |
76296n |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.634250436$ |
$1$ |
|
$8$ |
$13824$ |
$-0.000778$ |
$17408/99$ |
$0.87983$ |
$2.05954$ |
$[0, -1, 0, 23, -131]$ |
\(y^2=x^3-x^2+23x-131\) |
22.2.0.a.1 |
$[(7, 18), (4, 3)]$ |
76296.c1 |
76296c4 |
76296.c |
76296c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$2.339512$ |
$28742820444292/24805737$ |
$0.93411$ |
$4.88510$ |
$[0, -1, 0, -1858944, 975437820]$ |
\(y^2=x^3-x^2-1858944x+975437820\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[]$ |
76296.c2 |
76296c3 |
76296.c |
76296c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$2.339512$ |
$8187726931492/99379467$ |
$0.92532$ |
$4.77340$ |
$[0, -1, 0, -1223144, -514775652]$ |
\(y^2=x^3-x^2-1223144x-514775652\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 408.24.0.?, 748.24.0.?, $\ldots$ |
$[]$ |
76296.c3 |
76296c2 |
76296.c |
76296c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$663552$ |
$1.992941$ |
$51553893328/25492401$ |
$0.90082$ |
$4.19932$ |
$[0, -1, 0, -142284, 7928244]$ |
\(y^2=x^3-x^2-142284x+7928244\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$ |
$[]$ |
76296.c4 |
76296c1 |
76296.c |
76296c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{4} \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$331776$ |
$1.646366$ |
$9885304832/6720219$ |
$1.04813$ |
$3.80580$ |
$[0, -1, 0, 32561, 934444]$ |
\(y^2=x^3-x^2+32561x+934444\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
76296.d1 |
76296m1 |
76296.d |
76296m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.084730396$ |
$1$ |
|
$13$ |
$18432$ |
$0.203348$ |
$390224/33$ |
$0.72438$ |
$2.39445$ |
$[0, -1, 0, -164, 804]$ |
\(y^2=x^3-x^2-164x+804\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[(4, 14), (10, 8)]$ |
76296.d2 |
76296m2 |
76296.d |
76296m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.084730396$ |
$1$ |
|
$13$ |
$36864$ |
$0.549922$ |
$119164/1089$ |
$0.84060$ |
$2.65188$ |
$[0, -1, 0, 176, 3388]$ |
\(y^2=x^3-x^2+176x+3388\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(6, 68), (57, 442)]$ |
76296.e1 |
76296p1 |
76296.e |
76296p |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.455367613$ |
$1$ |
|
$4$ |
$230400$ |
$1.351946$ |
$860492463104/1056655611$ |
$0.97677$ |
$3.45189$ |
$[0, -1, 0, 8319, 306549]$ |
\(y^2=x^3-x^2+8319x+306549\) |
22.2.0.a.1 |
$[(123, 1782)]$ |
76296.f1 |
76296j1 |
76296.f |
76296j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$81920$ |
$0.977163$ |
$62500/33$ |
$1.02621$ |
$3.11088$ |
$[0, -1, 0, -2408, 14268]$ |
\(y^2=x^3-x^2-2408x+14268\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
76296.f2 |
76296j2 |
76296.f |
76296j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$1.323736$ |
$1714750/1089$ |
$1.18812$ |
$3.46712$ |
$[0, -1, 0, 9152, 102124]$ |
\(y^2=x^3-x^2+9152x+102124\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
76296.g1 |
76296i1 |
76296.g |
76296i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 11 \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$5.177333911$ |
$1$ |
|
$11$ |
$552960$ |
$1.881884$ |
$282841522000/772497$ |
$0.95384$ |
$4.35074$ |
$[0, -1, 0, -250948, 48355876]$ |
\(y^2=x^3-x^2-250948x+48355876\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(312, 578), (-555, 4046)]$ |
76296.g2 |
76296i2 |
76296.g |
76296i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{2} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$5.177333911$ |
$1$ |
|
$9$ |
$1105920$ |
$2.228458$ |
$-15927506500/121463793$ |
$0.99730$ |
$4.45402$ |
$[0, -1, 0, -152688, 86520060]$ |
\(y^2=x^3-x^2-152688x+86520060\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(278, 8092), (-266, 10404)]$ |
76296.h1 |
76296k1 |
76296.h |
76296k |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{7} \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$30965760$ |
$3.942600$ |
$-2737717077365028736000/181536283769982867$ |
$1.03399$ |
$6.40562$ |
$[0, -1, 0, -534809913, -5025601030131]$ |
\(y^2=x^3-x^2-534809913x-5025601030131\) |
374.2.0.? |
$[]$ |
76296.i1 |
76296a1 |
76296.i |
76296a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.953081$ |
$967473250000/1153977$ |
$0.95116$ |
$4.46013$ |
$[0, -1, 0, -378108, 89523348]$ |
\(y^2=x^3-x^2-378108x+89523348\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
76296.i2 |
76296a2 |
76296.i |
76296a |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.299656$ |
$-98061470500/271048833$ |
$0.92244$ |
$4.53582$ |
$[0, -1, 0, -279848, 137041884]$ |
\(y^2=x^3-x^2-279848x+137041884\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
76296.j1 |
76296r1 |
76296.j |
76296r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$15.52482849$ |
$1$ |
|
$1$ |
$258048$ |
$1.450005$ |
$676449508/561$ |
$0.83058$ |
$3.93717$ |
$[0, -1, 0, -53272, -4711460]$ |
\(y^2=x^3-x^2-53272x-4711460\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(4757529/76, 9908998795/76)]$ |
76296.j2 |
76296r2 |
76296.j |
76296r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$7.762414248$ |
$1$ |
|
$1$ |
$516096$ |
$1.796577$ |
$-162365474/314721$ |
$0.85819$ |
$4.00265$ |
$[0, -1, 0, -41712, -6824628]$ |
\(y^2=x^3-x^2-41712x-6824628\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(12957/2, 1471569/2)]$ |
76296.k1 |
76296b4 |
76296.k |
76296b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.585928$ |
$37736227588/33$ |
$0.98449$ |
$4.29488$ |
$[0, -1, 0, -203552, 35415612]$ |
\(y^2=x^3-x^2-203552x+35415612\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
76296.k2 |
76296b3 |
76296.k |
76296b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 11^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.585928$ |
$122657188/43923$ |
$0.95383$ |
$3.78529$ |
$[0, -1, 0, -30152, -1234212]$ |
\(y^2=x^3-x^2-30152x-1234212\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
76296.k3 |
76296b2 |
76296.k |
76296b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.239353$ |
$37642192/1089$ |
$0.89513$ |
$3.55691$ |
$[0, -1, 0, -12812, 548340]$ |
\(y^2=x^3-x^2-12812x+548340\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
76296.k4 |
76296b1 |
76296.k |
76296b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$0.892780$ |
$2048/891$ |
$1.09261$ |
$3.02584$ |
$[0, -1, 0, 193, 28140]$ |
\(y^2=x^3-x^2+193x+28140\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
76296.l1 |
76296o1 |
76296.l |
76296o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.911042367$ |
$1$ |
|
$2$ |
$32832$ |
$0.531805$ |
$591872/3267$ |
$0.89940$ |
$2.62765$ |
$[0, -1, 0, 193, -3072]$ |
\(y^2=x^3-x^2+193x-3072\) |
6.2.0.a.1 |
$[(21, 99)]$ |
76296.m1 |
76296l1 |
76296.m |
76296l |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$1.948753$ |
$-3962770432/16495083$ |
$0.90694$ |
$4.15819$ |
$[0, -1, 0, -60497, 16413573]$ |
\(y^2=x^3-x^2-60497x+16413573\) |
374.2.0.? |
$[]$ |
76296.n1 |
76296q2 |
76296.n |
76296q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 11^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$5.511066454$ |
$1$ |
|
$3$ |
$3317760$ |
$2.752701$ |
$110725946217794/21954955473$ |
$0.95362$ |
$5.06672$ |
$[0, -1, 0, -3671552, -2194244820]$ |
\(y^2=x^3-x^2-3671552x-2194244820\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(207865, 94765990)]$ |
76296.n2 |
76296q1 |
76296.n |
76296q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{3} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$11.02213290$ |
$1$ |
|
$1$ |
$1658880$ |
$2.406128$ |
$187761599684068/10385793$ |
$0.94659$ |
$5.05204$ |
$[0, -1, 0, -3475032, -2492090532]$ |
\(y^2=x^3-x^2-3475032x-2492090532\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(20791649/20, 94742729257/20)]$ |
76296.o1 |
76296g1 |
76296.o |
76296g |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.520857$ |
$192143824/85833$ |
$0.82047$ |
$3.70191$ |
$[0, 1, 0, -22060, 594944]$ |
\(y^2=x^3+x^2-22060x+594944\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
76296.o2 |
76296g2 |
76296.o |
76296g |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.867430$ |
$1979654684/1499553$ |
$0.87760$ |
$4.03268$ |
$[0, 1, 0, 76200, 4525344]$ |
\(y^2=x^3+x^2+76200x+4525344\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
76296.p1 |
76296e4 |
76296.p |
76296e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.629019$ |
$5690357426/891$ |
$0.97486$ |
$4.18826$ |
$[0, 1, 0, -136504, 19363760]$ |
\(y^2=x^3+x^2-136504x+19363760\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
76296.p2 |
76296e2 |
76296.p |
76296e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.282446$ |
$3650692/1089$ |
$0.89911$ |
$3.47268$ |
$[0, 1, 0, -9344, 238896]$ |
\(y^2=x^3+x^2-9344x+238896\) |
2.6.0.a.1, 24.12.0.a.1, 88.12.0.?, 132.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
76296.p3 |
76296e1 |
76296.p |
76296e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.935872$ |
$810448/33$ |
$0.82188$ |
$3.21549$ |
$[0, 1, 0, -3564, -80160]$ |
\(y^2=x^3+x^2-3564x-80160\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
76296.p4 |
76296e3 |
76296.p |
76296e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3 \cdot 11^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.629019$ |
$36382894/43923$ |
$0.96093$ |
$3.74619$ |
$[0, 1, 0, 25336, 1626096]$ |
\(y^2=x^3+x^2+25336x+1626096\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
76296.q1 |
76296u1 |
76296.q |
76296u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$558144$ |
$1.948412$ |
$591872/3267$ |
$0.89940$ |
$4.13972$ |
$[0, 1, 0, 55681, -14758470]$ |
\(y^2=x^3+x^2+55681x-14758470\) |
6.2.0.a.1 |
$[]$ |
76296.r1 |
76296v4 |
76296.r |
76296v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 11 \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$7077888$ |
$3.104813$ |
$3590504967602306/2071799959977$ |
$1.05249$ |
$5.37617$ |
$[0, 1, 0, -11708064, 827356896]$ |
\(y^2=x^3+x^2-11708064x+827356896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
76296.r2 |
76296v2 |
76296.r |
76296v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$3538944$ |
$2.758236$ |
$2535093488117092/7367303889$ |
$1.01810$ |
$5.28356$ |
$[0, 1, 0, -8274744, 9135991296]$ |
\(y^2=x^3+x^2-8274744x+9135991296\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0-2.a.1.1, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
76296.r3 |
76296v1 |
76296.r |
76296v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.411663$ |
$10119139303540048/85833$ |
$0.96209$ |
$5.28337$ |
$[0, 1, 0, -8268964, 9149428640]$ |
\(y^2=x^3+x^2-8268964x+9149428640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
76296.r4 |
76296v3 |
76296.r |
76296v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$3.104813$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.38915$ |
$[0, 1, 0, -4933904, 16584728160]$ |
\(y^2=x^3+x^2-4933904x+16584728160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[]$ |
76296.s1 |
76296s1 |
76296.s |
76296s |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3916800$ |
$2.768551$ |
$860492463104/1056655611$ |
$0.97677$ |
$4.96396$ |
$[0, 1, 0, 2404095, 1520499987]$ |
\(y^2=x^3+x^2+2404095x+1520499987\) |
22.2.0.a.1 |
$[]$ |
76296.t1 |
76296t1 |
76296.t |
76296t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$313344$ |
$1.619955$ |
$390224/33$ |
$0.72438$ |
$3.90652$ |
$[0, 1, 0, -47492, 3665280]$ |
\(y^2=x^3+x^2-47492x+3665280\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[]$ |
76296.t2 |
76296t2 |
76296.t |
76296t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$626688$ |
$1.966528$ |
$119164/1089$ |
$0.84060$ |
$4.16395$ |
$[0, 1, 0, 50768, 16950032]$ |
\(y^2=x^3+x^2+50768x+16950032\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
76296.u1 |
76296h2 |
76296.u |
76296h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$8.106664290$ |
$1$ |
|
$1$ |
$663552$ |
$1.996092$ |
$30248395634/1499553$ |
$0.88414$ |
$4.33686$ |
$[0, 1, 0, -238232, -42875280]$ |
\(y^2=x^3+x^2-238232x-42875280\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(-16085/7, 85770/7)]$ |
76296.u2 |
76296h1 |
76296.u |
76296h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$4.053332145$ |
$1$ |
|
$3$ |
$331776$ |
$1.649517$ |
$324730948/85833$ |
$0.83181$ |
$3.87189$ |
$[0, 1, 0, -41712, 2402928]$ |
\(y^2=x^3+x^2-41712x+2402928\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-228, 336)]$ |
76296.v1 |
76296w1 |
76296.v |
76296w |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$9.349826041$ |
$1$ |
|
$0$ |
$235008$ |
$1.415829$ |
$17408/99$ |
$0.87983$ |
$3.57161$ |
$[0, 1, 0, 6551, -604117]$ |
\(y^2=x^3+x^2+6551x-604117\) |
22.2.0.a.1 |
$[(10969/13, 690282/13)]$ |
76296.w1 |
76296f1 |
76296.w |
76296f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.835646$ |
$1055028224/4377483$ |
$0.89121$ |
$4.01525$ |
$[0, 1, 0, 38919, -7327413]$ |
\(y^2=x^3+x^2+38919x-7327413\) |
374.2.0.? |
$[]$ |