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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
29744.a1 |
29744j1 |
29744.a |
29744j |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 11^{2} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$0.327327738$ |
$1$ |
|
$22$ |
$139776$ |
$1.217474$ |
$1317006/1573$ |
$[0, 0, 0, 4901, -136214]$ |
\(y^2=x^3+4901x-136214\) |
104.2.0.? |
$[(65, 676), (377, 7436)]$ |
29744.b1 |
29744bk1 |
29744.b |
29744bk |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 11^{4} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$0.237561603$ |
$1$ |
|
$20$ |
$69120$ |
$1.119795$ |
$-537367797/468512$ |
$[0, 0, 0, -3523, 127426]$ |
\(y^2=x^3-3523x+127426\) |
104.2.0.? |
$[(1, 352), (-65, 286)]$ |
29744.c1 |
29744y1 |
29744.c |
29744y |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 11^{4} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1.895716054$ |
$1$ |
|
$4$ |
$898560$ |
$2.402271$ |
$-537367797/468512$ |
$[0, 0, 0, -595387, 279954922]$ |
\(y^2=x^3-595387x+279954922\) |
104.2.0.? |
$[(6591, 531674)]$ |
29744.d1 |
29744bg1 |
29744.d |
29744bg |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.401405975$ |
$1$ |
|
$2$ |
$157248$ |
$1.462883$ |
$-28561/88$ |
$[0, 1, 0, -9520, -902316]$ |
\(y^2=x^3+x^2-9520x-902316\) |
88.2.0.? |
$[(130, 272)]$ |
29744.e1 |
29744t1 |
29744.e |
29744t |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{22} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$572$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8386560$ |
$3.602287$ |
$-361585288790756017/123904$ |
$[0, 1, 0, -1226761592, 16537796026324]$ |
\(y^2=x^3+x^2-1226761592x+16537796026324\) |
4.2.0.a.1, 572.4.0.? |
$[]$ |
29744.f1 |
29744c1 |
29744.f |
29744c |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.844323755$ |
$1$ |
|
$4$ |
$59136$ |
$1.256926$ |
$-162365474/143$ |
$[0, 1, 0, -24392, -1475564]$ |
\(y^2=x^3+x^2-24392x-1475564\) |
1144.2.0.? |
$[(186, 676)]$ |
29744.g1 |
29744be1 |
29744.g |
29744be |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{13} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$0.446194562$ |
$1$ |
|
$6$ |
$48384$ |
$1.125839$ |
$-1/286$ |
$[0, 1, 0, -56, 114388]$ |
\(y^2=x^3+x^2-56x+114388\) |
1144.2.0.? |
$[(4, 338)]$ |
29744.h1 |
29744s1 |
29744.h |
29744s |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 11^{5} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$2.066010$ |
$-31824875809/16749304$ |
$[0, 1, 0, -178520, 40057876]$ |
\(y^2=x^3+x^2-178520x+40057876\) |
1144.2.0.? |
$[]$ |
29744.i1 |
29744bf1 |
29744.i |
29744bf |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{22} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$0.982778129$ |
$1$ |
|
$2$ |
$645120$ |
$2.319813$ |
$-361585288790756017/123904$ |
$[0, 1, 0, -7258944, 7525211188]$ |
\(y^2=x^3+x^2-7258944x+7525211188\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[(1551, 286)]$ |
29744.j1 |
29744u1 |
29744.j |
29744u |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$0.180408$ |
$-28561/88$ |
$[0, 1, 0, -56, -428]$ |
\(y^2=x^3+x^2-56x-428\) |
88.2.0.? |
$[]$ |
29744.k1 |
29744bb2 |
29744.k |
29744bb |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$2.504641386$ |
$1$ |
|
$2$ |
$241920$ |
$2.009369$ |
$-2009615368192/53094899$ |
$[0, -1, 0, -282117, 59071609]$ |
\(y^2=x^3-x^2-282117x+59071609\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.? |
$[(373, 2366)]$ |
29744.k2 |
29744bb1 |
29744.k |
29744bb |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$0.834880462$ |
$1$ |
|
$4$ |
$80640$ |
$1.460064$ |
$321978368/224939$ |
$[0, -1, 0, 15323, 327209]$ |
\(y^2=x^3-x^2+15323x+327209\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.? |
$[(217, 3718)]$ |
29744.l1 |
29744g1 |
29744.l |
29744g |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$1.348894$ |
$-6072054784/1859$ |
$[0, -1, 0, -40785, -3157571]$ |
\(y^2=x^3-x^2-40785x-3157571\) |
22.2.0.a.1 |
$[]$ |
29744.m1 |
29744h1 |
29744.m |
29744h |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$376320$ |
$2.283794$ |
$-10333900063744/3293331899$ |
$[0, -1, 0, -486945, -162704387]$ |
\(y^2=x^3-x^2-486945x-162704387\) |
22.2.0.a.1 |
$[]$ |
29744.n1 |
29744o2 |
29744.n |
29744o |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11^{3} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.179487$ |
$-199794688/1331$ |
$[0, -1, 0, -13069, 582737]$ |
\(y^2=x^3-x^2-13069x+582737\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.? |
$[]$ |
29744.n2 |
29744o1 |
29744.n |
29744o |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.630181$ |
$8192/11$ |
$[0, -1, 0, 451, 4081]$ |
\(y^2=x^3-x^2+451x+4081\) |
3.4.0.a.1, 22.2.0.a.1, 66.8.0.a.1, 156.8.0.?, 1716.16.0.? |
$[]$ |
29744.o1 |
29744bj1 |
29744.o |
29744bj |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{35} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$132480$ |
$1.637653$ |
$-2808592297029/92274688$ |
$[0, 0, 0, -61139, 5981586]$ |
\(y^2=x^3-61139x+5981586\) |
1144.2.0.? |
$[]$ |
29744.p1 |
29744f1 |
29744.p |
29744f |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{4} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$0.618176741$ |
$1$ |
|
$10$ |
$24576$ |
$0.750518$ |
$-25540791588/14641$ |
$[0, 0, 0, -3419, 76986]$ |
\(y^2=x^3-3419x+76986\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[(27, 66), (38, 44)]$ |
29744.q1 |
29744w2 |
29744.q |
29744w |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( 2^{13} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$0.928060902$ |
$1$ |
|
$7$ |
$17280$ |
$0.680912$ |
$125751501/242$ |
$[0, 0, 0, -2171, -38870]$ |
\(y^2=x^3-2171x-38870\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.? |
$[(-27, 8)]$ |
29744.q2 |
29744w1 |
29744.q |
29744w |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1.856121805$ |
$1$ |
|
$5$ |
$8640$ |
$0.334338$ |
$-9261/44$ |
$[0, 0, 0, -91, -1014]$ |
\(y^2=x^3-91x-1014\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.? |
$[(29, 144)]$ |
29744.r1 |
29744e1 |
29744.r |
29744e |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$54912$ |
$1.438150$ |
$54/11$ |
$[0, 0, 0, 2197, 742586]$ |
\(y^2=x^3+2197x+742586\) |
1144.2.0.? |
$[]$ |
29744.s1 |
29744bh1 |
29744.s |
29744bh |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$2288$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$93600$ |
$1.537045$ |
$442368000/121$ |
$[0, 0, 0, -87880, 10024911]$ |
\(y^2=x^3-87880x+10024911\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 26.6.0.b.1, 44.12.0.m.1, $\ldots$ |
$[]$ |
29744.s2 |
29744bh2 |
29744.s |
29744bh |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$2288$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$187200$ |
$1.883617$ |
$-18522000/14641$ |
$[0, 0, 0, -76895, 12623962]$ |
\(y^2=x^3-76895x+12623962\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 52.12.0.l.1, 88.24.0.?, $\ldots$ |
$[]$ |
29744.t1 |
29744v1 |
29744.t |
29744v |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$2288$ |
$96$ |
$1$ |
$2.412804635$ |
$1$ |
|
$3$ |
$7200$ |
$0.254569$ |
$442368000/121$ |
$[0, 0, 0, -520, 4563]$ |
\(y^2=x^3-520x+4563\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 26.6.0.b.1, 44.12.0.m.1, $\ldots$ |
$[(-23, 66)]$ |
29744.t2 |
29744v2 |
29744.t |
29744v |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$2288$ |
$96$ |
$1$ |
$4.825609271$ |
$1$ |
|
$3$ |
$14400$ |
$0.601143$ |
$-18522000/14641$ |
$[0, 0, 0, -455, 5746]$ |
\(y^2=x^3-455x+5746\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 52.12.0.l.1, 88.24.0.?, $\ldots$ |
$[(442, 9282)]$ |
29744.u1 |
29744k1 |
29744.u |
29744k |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{11} \cdot 11 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$0.426775757$ |
$1$ |
|
$4$ |
$4224$ |
$0.155677$ |
$54/11$ |
$[0, 0, 0, 13, 338]$ |
\(y^2=x^3+13x+338\) |
1144.2.0.? |
$[(13, 52)]$ |
29744.v1 |
29744bi2 |
29744.v |
29744bi |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( 2^{13} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$224640$ |
$1.963387$ |
$125751501/242$ |
$[0, 0, 0, -366899, -85397390]$ |
\(y^2=x^3-366899x-85397390\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.? |
$[]$ |
29744.v2 |
29744bi1 |
29744.v |
29744bi |
$2$ |
$2$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1144$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$112320$ |
$1.616814$ |
$-9261/44$ |
$[0, 0, 0, -15379, -2227758]$ |
\(y^2=x^3-15379x-2227758\) |
2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.? |
$[]$ |
29744.w1 |
29744a1 |
29744.w |
29744a |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$4.301289913$ |
$1$ |
|
$2$ |
$319488$ |
$2.032993$ |
$-25540791588/14641$ |
$[0, 0, 0, -577811, 169138242]$ |
\(y^2=x^3-577811x+169138242\) |
4.16.0-4.b.1.1 |
$[(443, 326)]$ |
29744.x1 |
29744x1 |
29744.x |
29744x |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{35} \cdot 11 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$6.352042617$ |
$1$ |
|
$0$ |
$1722240$ |
$2.920128$ |
$-2808592297029/92274688$ |
$[0, 0, 0, -10332491, 13141544442]$ |
\(y^2=x^3-10332491x+13141544442\) |
1144.2.0.? |
$[(1367717/47, 8674951168/47)]$ |
29744.y1 |
29744z3 |
29744.y |
29744z |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$14300$ |
$1200$ |
$37$ |
$6.362457106$ |
$1$ |
|
$0$ |
$432000$ |
$2.472332$ |
$-52893159101157376/11$ |
$[0, 1, 0, -21146181, 37420901363]$ |
\(y^2=x^3+x^2-21146181x+37420901363\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 260.24.0.?, $\ldots$ |
$[(132406/7, 1459991/7)]$ |
29744.y2 |
29744z2 |
29744.y |
29744z |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 11^{5} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$14300$ |
$1200$ |
$37$ |
$1.272491421$ |
$1$ |
|
$2$ |
$86400$ |
$1.667612$ |
$-122023936/161051$ |
$[0, 1, 0, -27941, 3246803]$ |
\(y^2=x^3+x^2-27941x+3246803\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 260.120.0.?, 275.300.12.?, $\ldots$ |
$[(758, 20449)]$ |
29744.y3 |
29744z1 |
29744.y |
29744z |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$14300$ |
$1200$ |
$37$ |
$6.362457106$ |
$1$ |
|
$0$ |
$17280$ |
$0.862893$ |
$-4096/11$ |
$[0, 1, 0, -901, -25037]$ |
\(y^2=x^3+x^2-901x-25037\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 260.24.0.?, $\ldots$ |
$[(4878/11, 101231/11)]$ |
29744.z1 |
29744ba2 |
29744.z |
29744ba |
$2$ |
$5$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{13} \cdot 11^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$520$ |
$48$ |
$1$ |
$0.682218453$ |
$1$ |
|
$4$ |
$2419200$ |
$3.226879$ |
$-2409558590804994721/674373039626$ |
$[0, 1, 0, -75522776, 252654335636]$ |
\(y^2=x^3+x^2-75522776x+252654335636\) |
5.12.0.a.2, 40.24.0-5.a.2.7, 104.2.0.?, 260.24.0.?, 520.48.1.? |
$[(4958, 10648)]$ |
29744.z2 |
29744ba1 |
29744.z |
29744ba |
$2$ |
$5$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 11^{2} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$3.411092266$ |
$1$ |
|
$2$ |
$483840$ |
$2.422157$ |
$2427173723519/1437646496$ |
$[0, 1, 0, 757064, -38628524]$ |
\(y^2=x^3+x^2+757064x-38628524\) |
5.12.0.a.1, 40.24.0-5.a.1.7, 104.2.0.?, 260.24.0.?, 520.48.1.? |
$[(198, 10912)]$ |
29744.ba1 |
29744m1 |
29744.ba |
29744m |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.286123$ |
$-262144/1859$ |
$[0, 1, 0, -3605, 302147]$ |
\(y^2=x^3+x^2-3605x+302147\) |
22.2.0.a.1 |
$[]$ |
29744.bb1 |
29744l1 |
29744.bb |
29744l |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.631426$ |
$-4165509529/12584$ |
$[0, 1, 0, -90640, -10561004]$ |
\(y^2=x^3+x^2-90640x-10561004\) |
104.2.0.? |
$[]$ |
29744.bc1 |
29744n1 |
29744.bc |
29744n |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{25} \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$2.019619$ |
$241804367/12886016$ |
$[0, 1, 0, 35096, -24140492]$ |
\(y^2=x^3+x^2+35096x-24140492\) |
104.2.0.? |
$[]$ |
29744.bd1 |
29744q1 |
29744.bd |
29744q |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{17} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$1.786123$ |
$-30664297/773344$ |
$[0, -1, 0, -17632, -6011136]$ |
\(y^2=x^3-x^2-17632x-6011136\) |
3.4.0.a.1, 156.8.0.?, 264.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[]$ |
29744.bd2 |
29744q2 |
29744.bd |
29744q |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{27} \cdot 11^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$2.335430$ |
$22117051943/566984704$ |
$[0, -1, 0, 158128, 159203264]$ |
\(y^2=x^3-x^2+158128x+159203264\) |
3.4.0.a.1, 156.8.0.?, 264.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[]$ |
29744.be1 |
29744r1 |
29744.be |
29744r |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{18} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1716$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.573251$ |
$-16835377/7744$ |
$[0, -1, 0, -472, -5136]$ |
\(y^2=x^3-x^2-472x-5136\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 78.8.0.?, 132.16.0.?, $\ldots$ |
$[]$ |
29744.be2 |
29744r2 |
29744.be |
29744r |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1716$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.122557$ |
$8011835663/7086244$ |
$[0, -1, 0, 3688, 61424]$ |
\(y^2=x^3-x^2+3688x+61424\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 78.8.0.?, 132.16.0.?, $\ldots$ |
$[]$ |
29744.bf1 |
29744b1 |
29744.bf |
29744b |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$1.053689904$ |
$1$ |
|
$2$ |
$12288$ |
$0.511581$ |
$-676/121$ |
$[0, -1, 0, -56, -2848]$ |
\(y^2=x^3-x^2-56x-2848\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[(22, 78)]$ |
29744.bg1 |
29744p2 |
29744.bg |
29744p |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{33} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$157248$ |
$1.787525$ |
$-2785800837625/23068672$ |
$[0, -1, 0, -143368, 21091056]$ |
\(y^2=x^3-x^2-143368x+21091056\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
29744.bg2 |
29744p1 |
29744.bg |
29744p |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{19} \cdot 11^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52416$ |
$1.238220$ |
$144896375/170368$ |
$[0, -1, 0, 5352, 151280]$ |
\(y^2=x^3-x^2+5352x+151280\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
29744.bh1 |
29744bc2 |
29744.bh |
29744bc |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{33} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$16.93454217$ |
$1$ |
|
$0$ |
$2044224$ |
$3.070000$ |
$-2785800837625/23068672$ |
$[0, -1, 0, -24229248, 46240133120]$ |
\(y^2=x^3-x^2-24229248x+46240133120\) |
3.4.0.a.1, 88.2.0.?, 156.8.0.?, 264.8.0.?, 3432.16.0.? |
$[(5204660032/1293, 67420077727744/1293)]$ |
29744.bh2 |
29744bc1 |
29744.bh |
29744bc |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{19} \cdot 11^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$5.644847390$ |
$1$ |
|
$0$ |
$681408$ |
$2.520695$ |
$144896375/170368$ |
$[0, -1, 0, 904432, 335979968]$ |
\(y^2=x^3-x^2+904432x+335979968\) |
3.4.0.a.1, 88.2.0.?, 156.8.0.?, 264.8.0.?, 3432.16.0.? |
$[(12376/3, 1745216/3)]$ |
29744.bi1 |
29744i1 |
29744.bi |
29744i |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$572$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$159744$ |
$1.794056$ |
$-676/121$ |
$[0, -1, 0, -9520, -6295056]$ |
\(y^2=x^3-x^2-9520x-6295056\) |
4.2.0.a.1, 572.4.0.? |
$[]$ |
29744.bj1 |
29744bd1 |
29744.bj |
29744bd |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{18} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$5.488604904$ |
$1$ |
|
$2$ |
$239616$ |
$1.855726$ |
$-16835377/7744$ |
$[0, -1, 0, -79824, -11603008]$ |
\(y^2=x^3-x^2-79824x-11603008\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 44.4.0-4.a.1.1, $\ldots$ |
$[(629, 13662)]$ |
29744.bj2 |
29744bd2 |
29744.bj |
29744bd |
$2$ |
$3$ |
\( 2^{4} \cdot 11 \cdot 13^{2} \) |
\( - 2^{14} \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$1.829534968$ |
$1$ |
|
$2$ |
$718848$ |
$2.405033$ |
$8011835663/7086244$ |
$[0, -1, 0, 623216, 137441472]$ |
\(y^2=x^3-x^2+623216x+137441472\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.a.1.2, 44.4.0-4.a.1.1, $\ldots$ |
$[(789, 33462)]$ |