| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 447440.a1 |
447440a1 |
447440.a |
447440a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{10} \cdot 5^{3} \cdot 7^{13} \cdot 17^{3} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$1.127511977$ |
$1$ |
|
$4$ |
$42142464$ |
$2.796734$ |
$-27258296529409921476/2796592285261347125$ |
$0.97600$ |
$4.37057$ |
|
$[0, 0, 0, -631963, 2581927738]$ |
\(y^2=x^3-631963x+2581927738\) |
111860.2.0.? |
$[(-1317, 33614)]$ |
$1$ |
| 447440.b1 |
447440b1 |
447440.b |
447440b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{2} \cdot 17 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3186432$ |
$1.610952$ |
$-1219500903353647104/4893875$ |
$0.92921$ |
$3.83995$ |
|
$[0, 0, 0, -356128, 81800752]$ |
\(y^2=x^3-356128x+81800752\) |
7990.2.0.? |
$[ ]$ |
$1$ |
| 447440.c1 |
447440c1 |
447440.c |
447440c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{14} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$370944$ |
$0.386744$ |
$-611960049/111860$ |
$0.69868$ |
$2.21534$ |
|
$[0, 0, 0, -283, -2102]$ |
\(y^2=x^3-283x-2102\) |
111860.2.0.? |
$[ ]$ |
$1$ |
| 447440.d1 |
447440d1 |
447440.d |
447440d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 47^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$1.233855625$ |
$1$ |
|
$19$ |
$585728$ |
$0.953533$ |
$34203946315396/46002425$ |
$0.93402$ |
$2.92783$ |
|
$[0, 1, 0, -6816, 214084]$ |
\(y^2=x^3+x^2-6816x+214084\) |
2.3.0.a.1, 34.6.0.a.1, 376.6.0.?, 6392.12.0.? |
$[(50, 28), (64, 210)]$ |
$1$ |
| 447440.d2 |
447440d2 |
447440.d |
447440d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{11} \cdot 5^{4} \cdot 7^{4} \cdot 17^{2} \cdot 47 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$1.233855625$ |
$1$ |
|
$19$ |
$1171456$ |
$1.300106$ |
$-6495419354258/20382989375$ |
$0.82961$ |
$2.99636$ |
|
$[0, 1, 0, -4936, 336660]$ |
\(y^2=x^3+x^2-4936x+336660\) |
2.3.0.a.1, 68.6.0.c.1, 376.6.0.?, 6392.12.0.? |
$[(82, 700), (-86, 364)]$ |
$1$ |
| 447440.e1 |
447440e1 |
447440.e |
447440e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{19} \cdot 5^{5} \cdot 7 \cdot 17 \cdot 47 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$223720$ |
$2$ |
$0$ |
$1.796311106$ |
$1$ |
|
$10$ |
$725760$ |
$1.167608$ |
$-74140932601/2237200000$ |
$0.83161$ |
$2.86827$ |
|
$[0, 1, 0, -1400, -147500]$ |
\(y^2=x^3+x^2-1400x-147500\) |
223720.2.0.? |
$[(70, 320), (100, 850)]$ |
$1$ |
| 447440.f1 |
447440f1 |
447440.f |
447440f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{11} \cdot 5^{7} \cdot 7^{5} \cdot 17 \cdot 47 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$223720$ |
$2$ |
$0$ |
$0.165661213$ |
$1$ |
|
$28$ |
$4112640$ |
$1.748665$ |
$-76518933929343362/1049124453125$ |
$0.87107$ |
$3.57569$ |
|
$[0, 1, 0, -112320, 14622100]$ |
\(y^2=x^3+x^2-112320x+14622100\) |
223720.2.0.? |
$[(-90, 4900), (110, 1900)]$ |
$1$ |
| 447440.g1 |
447440g1 |
447440.g |
447440g |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 17^{4} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$479232$ |
$0.869050$ |
$309362392064/961744315$ |
$0.78814$ |
$2.57301$ |
|
$[0, 1, 0, 895, 21835]$ |
\(y^2=x^3+x^2+895x+21835\) |
470.2.0.? |
$[ ]$ |
$1$ |
| 447440.h1 |
447440h1 |
447440.h |
447440h |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{13} \cdot 5^{9} \cdot 7 \cdot 17^{5} \cdot 47^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$223720$ |
$2$ |
$0$ |
$1.872196019$ |
$1$ |
|
$2$ |
$28926720$ |
$2.947113$ |
$1672411965286936678559/4030846457722656250$ |
$0.94309$ |
$4.48367$ |
|
$[0, 1, 0, 3956640, -5387737100]$ |
\(y^2=x^3+x^2+3956640x-5387737100\) |
223720.2.0.? |
$[(1455, 58750)]$ |
$1$ |
| 447440.i1 |
447440i1 |
447440.i |
447440i |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 17^{3} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$335580$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.168915$ |
$-447252873576784/9900309125$ |
$0.81899$ |
$3.02175$ |
|
$[0, -1, 0, -10116, -395684]$ |
\(y^2=x^3-x^2-10116x-395684\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 111860.2.0.?, 167790.8.0.?, 335580.16.0.? |
$[ ]$ |
$1$ |
| 447440.i2 |
447440i2 |
447440.i |
447440i |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7 \cdot 17 \cdot 47^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$335580$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$1.718220$ |
$32566311153214256/24130736328125$ |
$0.87067$ |
$3.34842$ |
|
$[0, -1, 0, 42244, -1783700]$ |
\(y^2=x^3-x^2+42244x-1783700\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 111860.2.0.?, 167790.8.0.?, 335580.16.0.? |
$[ ]$ |
$1$ |
| 447440.j1 |
447440j1 |
447440.j |
447440j |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{2} \cdot 17^{3} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$47940$ |
$16$ |
$0$ |
$0.840449730$ |
$1$ |
|
$4$ |
$670464$ |
$1.129873$ |
$-68719476736/1414329875$ |
$1.00686$ |
$2.83370$ |
|
$[0, -1, 0, -1365, -116963]$ |
\(y^2=x^3-x^2-1365x-116963\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? |
$[(84, 595)]$ |
$1$ |
| 447440.j2 |
447440j2 |
447440.j |
447440j |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{12} \cdot 5 \cdot 7^{6} \cdot 17 \cdot 47^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$47940$ |
$16$ |
$0$ |
$2.521349190$ |
$1$ |
|
$2$ |
$2011392$ |
$1.679180$ |
$49447027441664/1038247130795$ |
$0.89639$ |
$3.33657$ |
|
$[0, -1, 0, 12235, 3089917]$ |
\(y^2=x^3-x^2+12235x+3089917\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? |
$[(-12, 1715)]$ |
$1$ |
| 447440.k1 |
447440k1 |
447440.k |
447440k |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$47940$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9020160$ |
$2.416382$ |
$-629183665028900847616/53059469216796875$ |
$0.99357$ |
$4.11736$ |
|
$[0, -1, 0, -1133525, -496826423]$ |
\(y^2=x^3-x^2-1133525x-496826423\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? |
$[ ]$ |
$1$ |
| 447440.k2 |
447440k2 |
447440.k |
447440k |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{2} \cdot 17^{9} \cdot 47^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$47940$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27060480$ |
$2.965691$ |
$130306659659881732112384/75411913246981689875$ |
$1.12906$ |
$4.51679$ |
|
$[0, -1, 0, 6706475, -44164423]$ |
\(y^2=x^3-x^2+6706475x-44164423\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 7990.2.0.?, 23970.8.0.?, 47940.16.0.? |
$[ ]$ |
$1$ |
| 447440.l1 |
447440l1 |
447440.l |
447440l |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{17} \cdot 5 \cdot 7 \cdot 17^{5} \cdot 47 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$223720$ |
$2$ |
$0$ |
$1.214599266$ |
$1$ |
|
$8$ |
$1132800$ |
$1.501196$ |
$-355030270485129/74741272480$ |
$0.85458$ |
$3.23805$ |
|
$[0, 0, 0, -23603, 1629938]$ |
\(y^2=x^3-23603x+1629938\) |
223720.2.0.? |
$[(73, 544), (1057/2, 29767/2)]$ |
$1$ |
| 447440.m1 |
447440m2 |
447440.m |
447440m |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{15} \cdot 5^{12} \cdot 7 \cdot 17^{2} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10174464$ |
$2.465389$ |
$39607499578608204489/8728138671875000$ |
$0.95279$ |
$4.10745$ |
|
$[0, 0, 0, -1136243, 366837042]$ |
\(y^2=x^3-1136243x+366837042\) |
2.3.0.a.1, 56.6.0.a.1, 188.6.0.?, 2632.12.0.? |
$[ ]$ |
$1$ |
| 447440.m2 |
447440m1 |
447440.m |
447440m |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{18} \cdot 5^{6} \cdot 7^{2} \cdot 17^{4} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5087232$ |
$2.118816$ |
$107463872914487991/192348863000000$ |
$0.93590$ |
$3.71003$ |
|
$[0, 0, 0, 158477, 35129778]$ |
\(y^2=x^3+158477x+35129778\) |
2.3.0.a.1, 56.6.0.d.1, 94.6.0.?, 2632.12.0.? |
$[ ]$ |
$1$ |
| 447440.n1 |
447440n2 |
447440.n |
447440n |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{10} \cdot 5^{4} \cdot 7 \cdot 17^{3} \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$5.569993095$ |
$1$ |
|
$1$ |
$2015232$ |
$1.912189$ |
$42583230521932628196/47481074375$ |
$0.91777$ |
$4.00648$ |
|
$[0, 0, 0, -733283, 241688018]$ |
\(y^2=x^3-733283x+241688018\) |
2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? |
$[(3694/3, 84788/3)]$ |
$1$ |
| 447440.n2 |
447440n1 |
447440.n |
447440n |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$2.784996547$ |
$1$ |
|
$3$ |
$1007616$ |
$1.565615$ |
$-40593642077309904/1389720535175$ |
$0.89224$ |
$3.36977$ |
|
$[0, 0, 0, -45463, 3839862]$ |
\(y^2=x^3-45463x+3839862\) |
2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? |
$[(201, 1680)]$ |
$1$ |
| 447440.o1 |
447440o1 |
447440.o |
447440o |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{12} \cdot 5^{5} \cdot 7^{4} \cdot 17^{2} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9768960$ |
$2.503845$ |
$-68609530573591282089984/101914946875$ |
$1.00707$ |
$4.68058$ |
|
$[0, 0, 0, -13646048, 19402534128]$ |
\(y^2=x^3-13646048x+19402534128\) |
470.2.0.? |
$[ ]$ |
$1$ |
| 447440.p1 |
447440p3 |
447440.p |
447440p |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{11} \cdot 5^{2} \cdot 7^{8} \cdot 17 \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6392$ |
$48$ |
$0$ |
$2.939889097$ |
$1$ |
|
$3$ |
$2719744$ |
$1.978079$ |
$33523023846419195202/115151899975$ |
$0.94345$ |
$4.04136$ |
|
$[0, 0, 0, -853067, 303264474]$ |
\(y^2=x^3-853067x+303264474\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$ |
$[(543, 390)]$ |
$1$ |
| 447440.p2 |
447440p2 |
447440.p |
447440p |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{10} \cdot 5^{4} \cdot 7^{4} \cdot 17^{2} \cdot 47^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$6392$ |
$48$ |
$0$ |
$1.469944548$ |
$1$ |
|
$11$ |
$1359872$ |
$1.631504$ |
$17069491100026404/958000500625$ |
$0.89627$ |
$3.40531$ |
|
$[0, 0, 0, -54067, 4598274]$ |
\(y^2=x^3-54067x+4598274\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.b.1.2, 376.24.0.?, 6392.48.0.? |
$[(73, 1020)]$ |
$1$ |
| 447440.p3 |
447440p1 |
447440.p |
447440p |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17 \cdot 47^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6392$ |
$48$ |
$0$ |
$2.939889097$ |
$1$ |
|
$3$ |
$679936$ |
$1.284931$ |
$417520062908496/101619356825$ |
$0.83356$ |
$3.01358$ |
|
$[0, 0, 0, -9887, -288034]$ |
\(y^2=x^3-9887x-288034\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 34.6.0.a.1, 68.24.0-68.g.1.1, 376.24.0.?, $\ldots$ |
$[(-43, 240)]$ |
$1$ |
| 447440.p4 |
447440p4 |
447440.p |
447440p |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{11} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \cdot 47 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6392$ |
$48$ |
$0$ |
$2.939889097$ |
$1$ |
|
$7$ |
$2719744$ |
$1.978079$ |
$2975503484243358/75136274609375$ |
$0.91690$ |
$3.61274$ |
|
$[0, 0, 0, 38053, 18655786]$ |
\(y^2=x^3+38053x+18655786\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 376.24.0.?, 6392.48.0.? |
$[(7, 4350)]$ |
$1$ |
| 447440.q1 |
447440q3 |
447440.q |
447440q |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{4} \cdot 17^{4} \cdot 47^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$6392$ |
$48$ |
$0$ |
$3.395319546$ |
$1$ |
|
$7$ |
$30670848$ |
$3.043446$ |
$1886839385706772039188801/195708312831840200$ |
$0.97020$ |
$4.93530$ |
|
$[0, 0, 0, -41189867, 101740712474]$ |
\(y^2=x^3-41189867x+101740712474\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 6392.48.0.? |
$[(2053, 160720)]$ |
$1$ |
| 447440.q2 |
447440q4 |
447440.q |
447440q |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{16} \cdot 17 \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$6392$ |
$48$ |
$0$ |
$13.58127818$ |
$4$ |
$2$ |
$1$ |
$30670848$ |
$3.043446$ |
$101674940672971206900801/5310622305022239800$ |
$0.96027$ |
$4.71082$ |
|
$[0, 0, 0, -15557867, -22528529126]$ |
\(y^2=x^3-15557867x-22528529126\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 3196.12.0.?, 6392.48.0.? |
$[(1399495/9, 1608168338/9)]$ |
$1$ |
| 447440.q3 |
447440q2 |
447440.q |
447440q |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{18} \cdot 5^{4} \cdot 7^{8} \cdot 17^{2} \cdot 47^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$6392$ |
$48$ |
$0$ |
$6.790639093$ |
$1$ |
|
$5$ |
$15335424$ |
$2.696873$ |
$576262907168800644801/147210188928040000$ |
$0.96582$ |
$4.31324$ |
|
$[0, 0, 0, -2773867, 1328971674]$ |
\(y^2=x^3-2773867x+1328971674\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 3196.24.0.?, 6392.48.0.? |
$[(1495, 22878)]$ |
$1$ |
| 447440.q4 |
447440q1 |
447440.q |
447440q |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{24} \cdot 5^{8} \cdot 7^{4} \cdot 17 \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$6392$ |
$48$ |
$0$ |
$3.395319546$ |
$1$ |
|
$5$ |
$7667712$ |
$2.350300$ |
$2089292603388155199/3069438400000000$ |
$0.95021$ |
$3.91445$ |
|
$[0, 0, 0, 426133, 132811674]$ |
\(y^2=x^3+426133x+132811674\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 1598.6.0.?, 3196.24.0.?, $\ldots$ |
$[(245, 15872)]$ |
$1$ |
| 447440.r1 |
447440r2 |
447440.r |
447440r |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{10} \cdot 5^{4} \cdot 7 \cdot 17 \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$0.877592$ |
$1068857696484/164294375$ |
$0.84583$ |
$2.66146$ |
|
$[0, 0, 0, -2147, -32814]$ |
\(y^2=x^3-2147x-32814\) |
2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? |
$[ ]$ |
$1$ |
| 447440.r2 |
447440r1 |
447440.r |
447440r |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$0.531018$ |
$5464513584/16639175$ |
$0.79926$ |
$2.26083$ |
|
$[0, 0, 0, 233, -2826]$ |
\(y^2=x^3+233x-2826\) |
2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? |
$[ ]$ |
$1$ |
| 447440.s1 |
447440s2 |
447440.s |
447440s |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{14} \cdot 5^{8} \cdot 7 \cdot 17 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$2.625495082$ |
$1$ |
|
$3$ |
$1376256$ |
$1.613523$ |
$790965518920641/410735937500$ |
$0.88381$ |
$3.27577$ |
|
$[0, 0, 0, -30827, 667546]$ |
\(y^2=x^3-30827x+667546\) |
2.3.0.a.1, 188.6.0.?, 476.6.0.?, 22372.12.0.? |
$[(247, 2850)]$ |
$1$ |
| 447440.s2 |
447440s1 |
447440.s |
447440s |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{16} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22372$ |
$12$ |
$0$ |
$1.312747541$ |
$1$ |
|
$5$ |
$688128$ |
$1.266951$ |
$10301887348479/6655670000$ |
$0.87993$ |
$2.94214$ |
|
$[0, 0, 0, 7253, 81114]$ |
\(y^2=x^3+7253x+81114\) |
2.3.0.a.1, 94.6.0.?, 476.6.0.?, 22372.12.0.? |
$[(23, 510)]$ |
$1$ |
| 447440.t1 |
447440t3 |
447440.t |
447440t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{11} \cdot 5 \cdot 7 \cdot 17^{8} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$13160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3325952$ |
$1.854147$ |
$50866387470666882/11475120990445$ |
$0.91288$ |
$3.54251$ |
|
$[0, 0, 0, -98027, 9227706]$ |
\(y^2=x^3-98027x+9227706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 1316.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 447440.t2 |
447440t2 |
447440.t |
447440t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 17^{4} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$13160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1662976$ |
$1.507574$ |
$3614792667956964/226009914025$ |
$0.88526$ |
$3.28601$ |
|
$[0, 0, 0, -32227, -2103054]$ |
\(y^2=x^3-32227x-2103054\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 1316.24.0.?, 13160.48.0.? |
$[ ]$ |
$1$ |
| 447440.t3 |
447440t1 |
447440.t |
447440t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{8} \cdot 5^{4} \cdot 7 \cdot 17^{2} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$13160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$831488$ |
$1.161001$ |
$13796558685035856/59425625$ |
$0.85673$ |
$3.28241$ |
|
$[0, 0, 0, -31727, -2175154]$ |
\(y^2=x^3-31727x-2175154\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 658.6.0.?, 1316.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 447440.t4 |
447440t4 |
447440.t |
447440t |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{11} \cdot 5 \cdot 7^{4} \cdot 17^{2} \cdot 47^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$13160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3325952$ |
$1.854147$ |
$903106141605918/16929784847045$ |
$0.90519$ |
$3.49758$ |
|
$[0, 0, 0, 25573, -8819414]$ |
\(y^2=x^3+25573x-8819414\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.s.1.3, 2632.24.0.?, 13160.48.0.? |
$[ ]$ |
$1$ |
| 447440.u1 |
447440u1 |
447440.u |
447440u |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{26} \cdot 5^{3} \cdot 7^{3} \cdot 17^{5} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12821760$ |
$2.578461$ |
$41703621827975817191/46877726099456000$ |
$0.92331$ |
$4.11142$ |
|
$[0, 1, 0, 1155944, -463989356]$ |
\(y^2=x^3+x^2+1155944x-463989356\) |
111860.2.0.? |
$[ ]$ |
$1$ |
| 447440.v1 |
447440v1 |
447440.v |
447440v |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81408$ |
$0.156370$ |
$-1024/195755$ |
$0.89107$ |
$1.93559$ |
|
$[0, 1, 0, -1, -341]$ |
\(y^2=x^3+x^2-x-341\) |
7990.2.0.? |
$[ ]$ |
$1$ |
| 447440.w1 |
447440w1 |
447440.w |
447440w |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7^{5} \cdot 17 \cdot 47^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3075840$ |
$1.899618$ |
$49313776139711/14832101868500$ |
$0.91195$ |
$3.54295$ |
|
$[0, 1, 0, 12224, -11843276]$ |
\(y^2=x^3+x^2+12224x-11843276\) |
111860.2.0.? |
$[ ]$ |
$1$ |
| 447440.x1 |
447440x1 |
447440.x |
447440x |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 47^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$0.945170$ |
$-51491090811904/432422795$ |
$0.80770$ |
$2.85383$ |
|
$[0, 1, 0, -4921, -135485]$ |
\(y^2=x^3+x^2-4921x-135485\) |
7990.2.0.? |
$[ ]$ |
$1$ |
| 447440.y1 |
447440y1 |
447440.y |
447440y |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{2} \cdot 17^{7} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$8881152$ |
$2.384541$ |
$-20028233484482550784/73828903431171875$ |
$0.92571$ |
$3.99547$ |
|
$[0, 1, 0, -359241, 224866595]$ |
\(y^2=x^3+x^2-359241x+224866595\) |
7990.2.0.? |
$[ ]$ |
$1$ |
| 447440.z1 |
447440z1 |
447440.z |
447440z |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{2} \cdot 17 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$0.474355274$ |
$1$ |
|
$4$ |
$241920$ |
$0.705286$ |
$-78054424576/122346875$ |
$0.81987$ |
$2.45452$ |
|
$[0, 1, 0, -565, 9775]$ |
\(y^2=x^3+x^2-565x+9775\) |
7990.2.0.? |
$[(15, 70)]$ |
$1$ |
| 447440.ba1 |
447440ba1 |
447440.ba |
447440ba |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{10} \cdot 5 \cdot 7 \cdot 17^{3} \cdot 47^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$1.506064364$ |
$1$ |
|
$2$ |
$1939200$ |
$1.875883$ |
$67929287623001276/39437020678685$ |
$0.92736$ |
$3.51146$ |
|
$[0, 1, 0, 85680, -518140]$ |
\(y^2=x^3+x^2+85680x-518140\) |
111860.2.0.? |
$[(1144, 39950)]$ |
$1$ |
| 447440.bb1 |
447440bb1 |
447440.bb |
447440bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{10} \cdot 5^{7} \cdot 7 \cdot 17 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$111860$ |
$2$ |
$0$ |
$3.574145198$ |
$1$ |
|
$2$ |
$611072$ |
$1.131762$ |
$-264560893944484/436953125$ |
$0.82555$ |
$3.08527$ |
|
$[0, 1, 0, -13480, -607772]$ |
\(y^2=x^3+x^2-13480x-607772\) |
111860.2.0.? |
$[(216, 2570)]$ |
$1$ |
| 447440.bc1 |
447440bc1 |
447440.bc |
447440bc |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1.794625260$ |
$1$ |
|
$2$ |
$112128$ |
$0.158497$ |
$17997824/195755$ |
$0.69393$ |
$1.93139$ |
|
$[0, 1, 0, 35, 343]$ |
\(y^2=x^3+x^2+35x+343\) |
7990.2.0.? |
$[(3, 22)]$ |
$1$ |
| 447440.bd1 |
447440bd1 |
447440.bd |
447440bd |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \cdot 17 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7990$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$225792$ |
$0.570244$ |
$-5863149638656/195755$ |
$0.78533$ |
$2.68574$ |
|
$[0, 1, 0, -2385, -45637]$ |
\(y^2=x^3+x^2-2385x-45637\) |
7990.2.0.? |
$[ ]$ |
$1$ |
| 447440.be1 |
447440be2 |
447440.be |
447440be |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \cdot 17^{2} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$6392$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$1.945395$ |
$474641440418457649/4904962563200$ |
$0.88598$ |
$3.76743$ |
|
$[0, -1, 0, -260016, -50488384]$ |
\(y^2=x^3-x^2-260016x-50488384\) |
2.3.0.a.1, 8.6.0.b.1, 3196.6.0.?, 6392.12.0.? |
$[ ]$ |
$1$ |
| 447440.be2 |
447440be1 |
447440.be |
447440be |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( - 2^{26} \cdot 5^{4} \cdot 7^{2} \cdot 17 \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2064384$ |
$1.598820$ |
$-1749254553649/400906240000$ |
$0.88731$ |
$3.26578$ |
|
$[0, -1, 0, -4016, -1950784]$ |
\(y^2=x^3-x^2-4016x-1950784\) |
2.3.0.a.1, 8.6.0.c.1, 1598.6.0.?, 6392.12.0.? |
$[ ]$ |
$1$ |
| 447440.bf1 |
447440bf3 |
447440.bf |
447440bf |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \cdot 47 \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{2} \cdot 17^{3} \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$97542144$ |
$3.549671$ |
$53221428454245552032871153529/531788033000000$ |
$0.98501$ |
$5.72287$ |
|
$[0, -1, 0, -1253836536, 17089136410736]$ |
\(y^2=x^3-x^2-1253836536x+17089136410736\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 34.6.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |