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 |
257600.a1 |
257600a1 |
257600.a |
257600a |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 5^{7} \cdot 7^{3} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.461106175$ |
$1$ |
|
$2$ |
$691200$ |
$0.980144$ |
$-242970624/907235$ |
$0.84884$ |
$2.81981$ |
$[0, 0, 0, -1300, -49250]$ |
\(y^2=x^3-1300x-49250\) |
70.2.0.a.1 |
$[(255, 4025)]$ |
257600.b1 |
257600b1 |
257600.b |
257600b |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5505024$ |
$2.262028$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$4.21961$ |
$[0, 0, 0, -841900, -301667000]$ |
\(y^2=x^3-841900x-301667000\) |
46.2.0.a.1 |
$[]$ |
257600.c1 |
257600c1 |
257600.c |
257600c |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.235017020$ |
$1$ |
|
$26$ |
$3624960$ |
$1.837351$ |
$-7525300680/1270129$ |
$0.84325$ |
$3.71375$ |
$[0, 0, 0, -95500, 12910000]$ |
\(y^2=x^3-95500x+12910000\) |
8.2.0.a.1 |
$[(150, 1400), (325, 4025)]$ |
257600.d1 |
257600d1 |
257600.d |
257600d |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$1.179995$ |
$1029037824/596183$ |
$1.06789$ |
$2.99699$ |
$[0, 0, 0, 5300, -5000]$ |
\(y^2=x^3+5300x-5000\) |
46.2.0.a.1 |
$[]$ |
257600.e1 |
257600e1 |
257600.e |
257600e |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.167713427$ |
$1$ |
|
$2$ |
$724992$ |
$1.032633$ |
$-7525300680/1270129$ |
$0.84325$ |
$2.93868$ |
$[0, 0, 0, -3820, -103280]$ |
\(y^2=x^3-3820x-103280\) |
8.2.0.a.1 |
$[(96, 644)]$ |
257600.f1 |
257600f1 |
257600.f |
257600f |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.328981867$ |
$1$ |
|
$2$ |
$663552$ |
$0.926153$ |
$-15185664/28175$ |
$0.71752$ |
$2.77390$ |
$[0, 0, 0, -1300, 37000]$ |
\(y^2=x^3-1300x+37000\) |
46.2.0.a.1 |
$[(5, 175)]$ |
257600.g1 |
257600g1 |
257600.g |
257600g |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{18} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56401920$ |
$3.241615$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$4.99256$ |
$[0, 0, 0, 2442500, -37215701000]$ |
\(y^2=x^3+2442500x-37215701000\) |
46.2.0.a.1 |
$[]$ |
257600.h1 |
257600h2 |
257600.h |
257600h |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{27} \cdot 5^{8} \cdot 7 \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1.041671152$ |
$1$ |
|
$12$ |
$4976640$ |
$2.266464$ |
$-17455277065/43606528$ |
$0.88816$ |
$4.06175$ |
$[0, 1, 0, -252833, 112746463]$ |
\(y^2=x^3+x^2-252833x+112746463\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 966.8.0.?, 1288.2.0.?, 3864.16.0.? |
$[(583, 12800), (-441, 11776)]$ |
257600.h2 |
257600h1 |
257600.h |
257600h |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 5^{8} \cdot 7^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$9.375040368$ |
$1$ |
|
$8$ |
$1658880$ |
$1.717157$ |
$21653735/63112$ |
$0.81461$ |
$3.50250$ |
$[0, 1, 0, 27167, -3453537]$ |
\(y^2=x^3+x^2+27167x-3453537\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 966.8.0.?, 1288.2.0.?, 3864.16.0.? |
$[(119, 1216), (247, 4288)]$ |
257600.i1 |
257600i1 |
257600.i |
257600i |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.627839813$ |
$1$ |
|
$3$ |
$110592$ |
$0.515121$ |
$39304000/1127$ |
$0.80444$ |
$2.51240$ |
$[0, 1, 0, -708, 6838]$ |
\(y^2=x^3+x^2-708x+6838\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(17, 2)]$ |
257600.i2 |
257600i2 |
257600.i |
257600i |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.313919906$ |
$1$ |
|
$7$ |
$221184$ |
$0.861695$ |
$8000/3703$ |
$0.89579$ |
$2.70040$ |
$[0, 1, 0, 167, 23463]$ |
\(y^2=x^3+x^2+167x+23463\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(23, 200)]$ |
257600.j1 |
257600j2 |
257600.j |
257600j |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1.003338043$ |
$1$ |
|
$7$ |
$184320$ |
$0.598798$ |
$11279504/3703$ |
$0.72865$ |
$2.46974$ |
$[0, 1, 0, -593, -3857]$ |
\(y^2=x^3+x^2-593x-3857\) |
2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.? |
$[(-17, 40)]$ |
257600.j2 |
257600j1 |
257600.j |
257600j |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$2.006676086$ |
$1$ |
|
$5$ |
$92160$ |
$0.252224$ |
$1048576/1127$ |
$0.82898$ |
$2.05654$ |
$[0, 1, 0, 107, -357]$ |
\(y^2=x^3+x^2+107x-357\) |
2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.? |
$[(7, 28)]$ |
257600.k1 |
257600k2 |
257600.k |
257600k |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 5^{8} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$3.212296784$ |
$1$ |
|
$5$ |
$1769472$ |
$1.726686$ |
$75933869762/648025$ |
$0.84656$ |
$3.73165$ |
$[0, 1, 0, -112033, -14363937]$ |
\(y^2=x^3+x^2-112033x-14363937\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-182, 175)]$ |
257600.k2 |
257600k1 |
257600.k |
257600k |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.606148392$ |
$1$ |
|
$5$ |
$884736$ |
$1.380112$ |
$188183524/100625$ |
$0.93120$ |
$3.19443$ |
$[0, 1, 0, -12033, 136063]$ |
\(y^2=x^3+x^2-12033x+136063\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(-57, 800)]$ |
257600.l1 |
257600l1 |
257600.l |
257600l |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 5^{3} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$0.670652$ |
$157114339136/181447$ |
$0.91557$ |
$2.79051$ |
$[0, 1, 0, -2248, -41742]$ |
\(y^2=x^3+x^2-2248x-41742\) |
2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.l2 |
257600l2 |
257600.l |
257600l |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.017225$ |
$-1012048064/2705927$ |
$0.90271$ |
$2.85795$ |
$[0, 1, 0, -1673, -63017]$ |
\(y^2=x^3+x^2-1673x-63017\) |
2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.m1 |
257600m1 |
257600.m |
257600m |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.425550$ |
$-50/161$ |
$0.82220$ |
$3.24373$ |
$[0, 1, 0, -833, 690463]$ |
\(y^2=x^3+x^2-833x+690463\) |
1288.2.0.? |
$[]$ |
257600.n1 |
257600n2 |
257600.n |
257600n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$3.991886272$ |
$1$ |
|
$3$ |
$8847360$ |
$2.620804$ |
$263822189935250/149429406721$ |
$1.01471$ |
$4.38604$ |
$[0, 1, 0, -1696833, 123474463]$ |
\(y^2=x^3+x^2-1696833x+123474463\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(1323, 14000)]$ |
257600.n2 |
257600n1 |
257600.n |
257600n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 5^{6} \cdot 7^{5} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$7.983772544$ |
$1$ |
|
$1$ |
$4423680$ |
$2.274231$ |
$7953970437500/4703287687$ |
$1.05161$ |
$4.04936$ |
$[0, 1, 0, 419167, 15558463]$ |
\(y^2=x^3+x^2+419167x+15558463\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(-141/5, 454048/5)]$ |
257600.o1 |
257600o3 |
257600.o |
257600o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 5^{12} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.529362$ |
$534774372149809/5323062500$ |
$0.92318$ |
$4.49839$ |
$[0, 1, 0, -2705633, -1699083137]$ |
\(y^2=x^3+x^2-2705633x-1699083137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 40.6.0.d.1, $\ldots$ |
$[]$ |
257600.o2 |
257600o4 |
257600.o |
257600o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{19} \cdot 5^{9} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$2.875935$ |
$-9486391169809/1813439640250$ |
$0.98344$ |
$4.64054$ |
$[0, 1, 0, -705633, -4153083137]$ |
\(y^2=x^3+x^2-705633x-4153083137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 40.6.0.a.1, $\ldots$ |
$[]$ |
257600.o3 |
257600o1 |
257600.o |
257600o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 5^{8} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$1.980053$ |
$380920459249/12622400$ |
$0.86931$ |
$3.91673$ |
$[0, 1, 0, -241633, 44308863]$ |
\(y^2=x^3+x^2-241633x+44308863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 40.6.0.d.1, $\ldots$ |
$[]$ |
257600.o4 |
257600o2 |
257600.o |
257600o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 5^{7} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.326626$ |
$12994449551/2489452840$ |
$0.94483$ |
$4.11105$ |
$[0, 1, 0, 78367, 153428863]$ |
\(y^2=x^3+x^2+78367x+153428863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 40.6.0.a.1, $\ldots$ |
$[]$ |
257600.p1 |
257600p1 |
257600.p |
257600p |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$0.984483$ |
$220348864/4025$ |
$0.74086$ |
$2.98456$ |
$[0, 1, 0, -5033, -136937]$ |
\(y^2=x^3+x^2-5033x-136937\) |
2.3.0.a.1, 40.6.0.d.1, 322.6.0.?, 6440.12.0.? |
$[]$ |
257600.p2 |
257600p2 |
257600.p |
257600p |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.331057$ |
$-8/129605$ |
$1.00534$ |
$3.15276$ |
$[0, 1, 0, -33, -391937]$ |
\(y^2=x^3+x^2-33x-391937\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
257600.q1 |
257600q1 |
257600.q |
257600q |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$1.312172543$ |
$1$ |
|
$14$ |
$147456$ |
$0.620832$ |
$-50/161$ |
$0.82220$ |
$2.46867$ |
$[0, 1, 0, -33, -5537]$ |
\(y^2=x^3+x^2-33x-5537\) |
1288.2.0.? |
$[(23, 80), (183, 2480)]$ |
257600.r1 |
257600r2 |
257600.r |
257600r |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{25} \cdot 5^{8} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$18.53804566$ |
$1$ |
|
$1$ |
$41287680$ |
$3.368973$ |
$1753007192038126081/478174101507200$ |
$0.97307$ |
$5.14811$ |
$[0, 1, 0, -40192033, -71321855937]$ |
\(y^2=x^3+x^2-40192033x-71321855937\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-900461183/427, 6392402037400/427)]$ |
257600.r2 |
257600r1 |
257600.r |
257600r |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{32} \cdot 5^{10} \cdot 7^{5} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$9.269022834$ |
$1$ |
|
$1$ |
$20643840$ |
$3.022400$ |
$83890194895342081/3958384640000$ |
$1.02332$ |
$4.90415$ |
$[0, 1, 0, -14592033, 20556544063]$ |
\(y^2=x^3+x^2-14592033x+20556544063\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(88377/7, 3574600/7)]$ |
257600.s1 |
257600s2 |
257600.s |
257600s |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 5^{18} \cdot 7^{2} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$37.52342011$ |
$1$ |
|
$1$ |
$1760624640$ |
$5.239349$ |
$3881076261058705264477077945608/495580822624218994140625$ |
$1.04446$ |
$7.26273$ |
$[0, 1, 0, -261918480033, -51588172359559937]$ |
\(y^2=x^3+x^2-261918480033x-51588172359559937\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(27547326195199542762/5913119, 99389964500839590608958635407/5913119)]$ |
257600.s2 |
257600s1 |
257600.s |
257600s |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 5^{30} \cdot 7 \cdot 23^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$18.76171005$ |
$1$ |
|
$1$ |
$880312320$ |
$4.892776$ |
$9709163613089309722873564864/2685451567173004150390625$ |
$1.08382$ |
$6.61499$ |
$[0, 1, 0, -17777855033, -659217281434937]$ |
\(y^2=x^3+x^2-17777855033x-659217281434937\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(-8532760223/383, 749736775559900/383)]$ |
257600.t1 |
257600t2 |
257600.t |
257600t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 5^{8} \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$3.621047339$ |
$1$ |
|
$15$ |
$786432$ |
$1.525473$ |
$7100029448/648025$ |
$0.93093$ |
$3.43018$ |
$[0, 1, 0, -32033, -2035937]$ |
\(y^2=x^3+x^2-32033x-2035937\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-81, 184), (-113, 392)]$ |
257600.t2 |
257600t1 |
257600.t |
257600t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 5^{10} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$3.621047339$ |
$1$ |
|
$13$ |
$393216$ |
$1.178898$ |
$601211584/100625$ |
$0.81866$ |
$3.06512$ |
$[0, 1, 0, -7033, 189063]$ |
\(y^2=x^3+x^2-7033x+189063\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(23, 200), (-27, 600)]$ |
257600.u1 |
257600u1 |
257600.u |
257600u |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 5^{9} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$1.475372$ |
$157114339136/181447$ |
$0.91557$ |
$3.56557$ |
$[0, 1, 0, -56208, 5105338]$ |
\(y^2=x^3+x^2-56208x+5105338\) |
2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.u2 |
257600u2 |
257600.u |
257600u |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{9} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$1.821945$ |
$-1012048064/2705927$ |
$0.90271$ |
$3.63301$ |
$[0, 1, 0, -41833, 7793463]$ |
\(y^2=x^3+x^2-41833x+7793463\) |
2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.v1 |
257600v2 |
257600.v |
257600v |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$2.039330918$ |
$1$ |
|
$5$ |
$589824$ |
$1.213314$ |
$57512456/25921$ |
$0.81907$ |
$3.04365$ |
$[0, 1, 0, -6433, 91263]$ |
\(y^2=x^3+x^2-6433x+91263\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(13, 100)]$ |
257600.v2 |
257600v1 |
257600.v |
257600v |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 5^{6} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.019665459$ |
$1$ |
|
$7$ |
$294912$ |
$0.866740$ |
$277167808/161$ |
$0.94672$ |
$3.00297$ |
$[0, 1, 0, -5433, 152263]$ |
\(y^2=x^3+x^2-5433x+152263\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[(23, 200)]$ |
257600.w1 |
257600w2 |
257600.w |
257600w |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$1.403517$ |
$11279504/3703$ |
$0.72865$ |
$3.24480$ |
$[0, 1, 0, -14833, 452463]$ |
\(y^2=x^3+x^2-14833x+452463\) |
2.3.0.a.1, 140.6.0.?, 460.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.w2 |
257600w1 |
257600.w |
257600w |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{10} \cdot 5^{9} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$460800$ |
$1.056942$ |
$1048576/1127$ |
$0.82898$ |
$2.83160$ |
$[0, 1, 0, 2667, 49963]$ |
\(y^2=x^3+x^2+2667x+49963\) |
2.3.0.a.1, 140.6.0.?, 230.6.0.?, 644.6.0.?, 3220.12.0.? |
$[]$ |
257600.x1 |
257600x2 |
257600.x |
257600x |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2293760$ |
$1.834337$ |
$38758598383688/25921$ |
$0.93577$ |
$4.12084$ |
$[0, 1, 0, -564033, 162856063]$ |
\(y^2=x^3+x^2-564033x+162856063\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
257600.x2 |
257600x1 |
257600.x |
257600x |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1146880$ |
$1.487762$ |
$-74299881664/1958887$ |
$0.94180$ |
$3.45531$ |
$[0, 1, 0, -35033, 2569063]$ |
\(y^2=x^3+x^2-35033x+2569063\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
257600.y1 |
257600y2 |
257600.y |
257600y |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$9.102991424$ |
$1$ |
|
$1$ |
$737280$ |
$1.354538$ |
$12576878500/1127$ |
$0.87137$ |
$3.53171$ |
$[0, 1, 0, -48833, -4169537]$ |
\(y^2=x^3+x^2-48833x-4169537\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(16813/3, 2164636/3)]$ |
257600.y2 |
257600y1 |
257600.y |
257600y |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 5^{6} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$4.551495712$ |
$1$ |
|
$3$ |
$368640$ |
$1.007963$ |
$-9826000/3703$ |
$0.75859$ |
$2.88645$ |
$[0, 1, 0, -2833, -75537]$ |
\(y^2=x^3+x^2-2833x-75537\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(1863, 80400)]$ |
257600.z1 |
257600z4 |
257600.z |
257600z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 5^{12} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$16.30820541$ |
$1$ |
|
$1$ |
$69009408$ |
$3.417065$ |
$513516182162686336369/1944885031250$ |
$0.98891$ |
$5.60400$ |
$[0, 1, 0, -266929633, -1678668331137]$ |
\(y^2=x^3+x^2-266929633x-1678668331137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(1074022977/4, 35198191445193/4)]$ |
257600.z2 |
257600z3 |
257600.z |
257600z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 5^{18} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$8.154102706$ |
$1$ |
|
$1$ |
$34504704$ |
$3.070492$ |
$131010595463836369/7704101562500$ |
$0.95494$ |
$4.93992$ |
$[0, 1, 0, -16929633, -25418331137]$ |
\(y^2=x^3+x^2-16929633x-25418331137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(-155357/9, 524800/9)]$ |
257600.z3 |
257600z2 |
257600.z |
257600z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{21} \cdot 5^{8} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$5.436068470$ |
$1$ |
|
$3$ |
$23003136$ |
$2.867760$ |
$2535986675931409/1450751712200$ |
$0.99059$ |
$4.62331$ |
$[0, 1, 0, -4545633, -401019137]$ |
\(y^2=x^3+x^2-4545633x-401019137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(-487, 41200)]$ |
257600.z4 |
257600z1 |
257600.z |
257600z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 5^{10} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$19320$ |
$96$ |
$1$ |
$2.718034235$ |
$1$ |
|
$5$ |
$11501568$ |
$2.521187$ |
$690080604747409/3406760000$ |
$0.92467$ |
$4.51885$ |
$[0, 1, 0, -2945633, 1936580863]$ |
\(y^2=x^3+x^2-2945633x+1936580863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(793, 10000)]$ |
257600.ba1 |
257600ba2 |
257600.ba |
257600ba |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{27} \cdot 5^{2} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$1.461746$ |
$-17455277065/43606528$ |
$0.88816$ |
$3.28668$ |
$[0, 1, 0, -10113, -906017]$ |
\(y^2=x^3+x^2-10113x-906017\) |
3.4.0.a.1, 120.8.0.?, 1288.2.0.?, 3864.8.0.?, 9660.8.0.?, $\ldots$ |
$[]$ |
257600.ba2 |
257600ba1 |
257600.ba |
257600ba |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{21} \cdot 5^{2} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$0.912439$ |
$21653735/63112$ |
$0.81461$ |
$2.72744$ |
$[0, 1, 0, 1087, 28063]$ |
\(y^2=x^3+x^2+1087x+28063\) |
3.4.0.a.1, 120.8.0.?, 1288.2.0.?, 3864.8.0.?, 9660.8.0.?, $\ldots$ |
$[]$ |
257600.bb1 |
257600bb1 |
257600.bb |
257600bb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{5} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1288$ |
$2$ |
$0$ |
$0.511912486$ |
$1$ |
|
$14$ |
$337920$ |
$1.022900$ |
$-35945285000/386561$ |
$0.89451$ |
$3.04513$ |
$[0, 1, 0, -6433, 198303]$ |
\(y^2=x^3+x^2-6433x+198303\) |
1288.2.0.? |
$[(7, 392), (119, 1064)]$ |