| 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 |
| 177600.a1 |
177600dc1 |
177600.a |
177600dc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.282146$ |
$-2454365649169/1035763200$ |
$0.93614$ |
$4.23667$ |
$[0, -1, 0, -449633, -152452863]$ |
\(y^2=x^3-x^2-449633x-152452863\) |
888.2.0.? |
$[]$ |
| 177600.b1 |
177600ha1 |
177600.b |
177600ha |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{27} \cdot 3^{8} \cdot 5^{3} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1.446364483$ |
$1$ |
|
$12$ |
$1327104$ |
$1.676010$ |
$-5423945093/124291584$ |
$0.97682$ |
$3.59243$ |
$[0, -1, 0, -11713, 3112897]$ |
\(y^2=x^3-x^2-11713x+3112897\) |
1480.2.0.? |
$[(177, 2560), (1201, 41472)]$ |
| 177600.c1 |
177600ci1 |
177600.c |
177600ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{27} \cdot 3^{8} \cdot 5^{9} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.480728$ |
$-5423945093/124291584$ |
$0.97682$ |
$4.39134$ |
$[0, -1, 0, -292833, -388526463]$ |
\(y^2=x^3-x^2-292833x-388526463\) |
1480.2.0.? |
$[]$ |
| 177600.d1 |
177600hb1 |
177600.d |
177600hb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3 \cdot 5^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$2.098538101$ |
$1$ |
|
$2$ |
$70656$ |
$0.285088$ |
$-8192/111$ |
$1.14761$ |
$2.21211$ |
$[0, -1, 0, -53, -723]$ |
\(y^2=x^3-x^2-53x-723\) |
1110.2.0.? |
$[(12, 15)]$ |
| 177600.e1 |
177600hw1 |
177600.e |
177600hw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{17} \cdot 3^{5} \cdot 5^{10} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1305600$ |
$1.776482$ |
$19450850/8991$ |
$0.86758$ |
$3.69490$ |
$[0, -1, 0, -60833, -2570463]$ |
\(y^2=x^3-x^2-60833x-2570463\) |
888.2.0.? |
$[]$ |
| 177600.f1 |
177600hc1 |
177600.f |
177600hc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3 \cdot 5^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.357288031$ |
$1$ |
|
$8$ |
$314880$ |
$1.064266$ |
$975560/111$ |
$0.72626$ |
$3.06632$ |
$[0, -1, 0, -4833, 117537]$ |
\(y^2=x^3-x^2-4833x+117537\) |
888.2.0.? |
$[(17, 200)]$ |
| 177600.g1 |
177600dd1 |
177600.g |
177600dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$4440$ |
$48$ |
$0$ |
$4.340389117$ |
$1$ |
|
$11$ |
$196608$ |
$0.740784$ |
$5619712/2997$ |
$0.96732$ |
$2.65816$ |
$[0, -1, 0, -933, -2763]$ |
\(y^2=x^3-x^2-933x-2763\) |
2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 120.12.0.?, 148.24.0.?, $\ldots$ |
$[(33, 36), (97, 900)]$ |
| 177600.g2 |
177600dd2 |
177600.g |
177600dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$4440$ |
$48$ |
$0$ |
$1.085097279$ |
$1$ |
|
$27$ |
$393216$ |
$1.087357$ |
$19600688/12321$ |
$0.98956$ |
$2.99089$ |
$[0, -1, 0, 3567, -25263]$ |
\(y^2=x^3-x^2+3567x-25263\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 148.12.0.?, 296.24.0.?, $\ldots$ |
$[(81, 888), (17, 200)]$ |
| 177600.h1 |
177600de2 |
177600.h |
177600de |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{30} \cdot 5^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$65802240$ |
$3.627892$ |
$189081863882008469848000/7617971887502013$ |
$1.09341$ |
$5.92117$ |
$[0, -1, 0, -478301833, 4026273394537]$ |
\(y^2=x^3-x^2-478301833x+4026273394537\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
| 177600.h2 |
177600de1 |
177600.h |
177600de |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{15} \cdot 5^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$32901120$ |
$3.281319$ |
$12100888248456939565096000/19643653683$ |
$1.10099$ |
$5.92116$ |
$[0, -1, 0, -478297208, 4026355150662]$ |
\(y^2=x^3-x^2-478297208x+4026355150662\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
| 177600.i1 |
177600df2 |
177600.i |
177600df |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.010469612$ |
$1$ |
|
$17$ |
$1548288$ |
$1.914173$ |
$216216072008/124750125$ |
$0.99571$ |
$3.81834$ |
$[0, -1, 0, -100033, 699937]$ |
\(y^2=x^3-x^2-100033x+699937\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(-3, 1000), (747, 18500)]$ |
| 177600.i2 |
177600df1 |
177600.i |
177600df |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{12} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$8.041878451$ |
$1$ |
|
$9$ |
$774144$ |
$1.567600$ |
$26892143936/15609375$ |
$1.03062$ |
$3.47386$ |
$[0, -1, 0, 24967, 74937]$ |
\(y^2=x^3-x^2+24967x+74937\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(7, 500), (157, 2800)]$ |
| 177600.j1 |
177600dg2 |
177600.j |
177600dg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.091957$ |
$343000000/26973$ |
$1.06470$ |
$3.11299$ |
$[0, -1, 0, -5833, -157463]$ |
\(y^2=x^3-x^2-5833x-157463\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
| 177600.j2 |
177600dg1 |
177600.j |
177600dg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$0.745383$ |
$195112000/36963$ |
$0.95911$ |
$2.72225$ |
$[0, -1, 0, -1208, 13662]$ |
\(y^2=x^3-x^2-1208x+13662\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
| 177600.k1 |
177600dh4 |
177600.k |
177600dh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{7} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$5.568732651$ |
$1$ |
|
$3$ |
$1769472$ |
$1.969671$ |
$2351575819592/98316585$ |
$0.91120$ |
$4.01578$ |
$[0, -1, 0, -221633, -38608863]$ |
\(y^2=x^3-x^2-221633x-38608863\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 888.24.0.?, 1480.24.0.?, $\ldots$ |
$[(-264, 1197)]$ |
| 177600.k2 |
177600dh2 |
177600.k |
177600dh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$2.784366325$ |
$1$ |
|
$9$ |
$884736$ |
$1.623096$ |
$84951891136/24950025$ |
$1.01492$ |
$3.56902$ |
$[0, -1, 0, -36633, 1906137]$ |
\(y^2=x^3-x^2-36633x+1906137\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 444.24.0.?, 1480.24.0.?, $\ldots$ |
$[(32, 875)]$ |
| 177600.k3 |
177600dh1 |
177600.k |
177600dh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{10} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4440$ |
$48$ |
$0$ |
$5.568732651$ |
$1$ |
|
$3$ |
$442368$ |
$1.276524$ |
$4160851280704/624375$ |
$1.02484$ |
$3.54689$ |
$[0, -1, 0, -33508, 2371762]$ |
\(y^2=x^3-x^2-33508x+2371762\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 444.12.0.?, $\ldots$ |
$[(303, 4466)]$ |
| 177600.k4 |
177600dh3 |
177600.k |
177600dh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{7} \cdot 37^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$5.568732651$ |
$1$ |
|
$5$ |
$1769472$ |
$1.969671$ |
$205587930808/253011735$ |
$0.91414$ |
$3.82403$ |
$[0, -1, 0, 98367, 12571137]$ |
\(y^2=x^3-x^2+98367x+12571137\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 888.24.0.?, 1480.24.0.?, $\ldots$ |
$[(1112, 38675)]$ |
| 177600.l1 |
177600hx1 |
177600.l |
177600hx |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1480$ |
$48$ |
$0$ |
$17.80831175$ |
$1$ |
|
$1$ |
$2064384$ |
$2.024818$ |
$3132662187311104/151723125$ |
$1.00286$ |
$4.32427$ |
$[0, -1, 0, -768133, -258854363]$ |
\(y^2=x^3-x^2-768133x-258854363\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 74.6.0.?, 148.24.0.?, $\ldots$ |
$[(1986760477/946, 80192929350825/946)]$ |
| 177600.l2 |
177600hx2 |
177600.l |
177600hx |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{14} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1480$ |
$48$ |
$0$ |
$8.904155875$ |
$1$ |
|
$1$ |
$4128768$ |
$2.371391$ |
$-166426126492624/43316015625$ |
$0.94310$ |
$4.34156$ |
$[0, -1, 0, -727633, -287406863]$ |
\(y^2=x^3-x^2-727633x-287406863\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 148.12.0.?, 296.24.0.?, $\ldots$ |
$[(158827/11, 42453900/11)]$ |
| 177600.m1 |
177600hy1 |
177600.m |
177600hy |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3 \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.642526905$ |
$1$ |
|
$2$ |
$62976$ |
$0.259547$ |
$975560/111$ |
$0.72626$ |
$2.26741$ |
$[0, -1, 0, -193, -863]$ |
\(y^2=x^3-x^2-193x-863\) |
888.2.0.? |
$[(-9, 8)]$ |
| 177600.n1 |
177600cj1 |
177600.n |
177600cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{17} \cdot 3^{5} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$3.562139723$ |
$1$ |
|
$2$ |
$261120$ |
$0.971764$ |
$19450850/8991$ |
$0.86758$ |
$2.89599$ |
$[0, -1, 0, -2433, 21537]$ |
\(y^2=x^3-x^2-2433x+21537\) |
888.2.0.? |
$[(-37, 244)]$ |
| 177600.o1 |
177600ck1 |
177600.o |
177600ck |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3 \cdot 5^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$4.385515927$ |
$1$ |
|
$0$ |
$353280$ |
$1.089808$ |
$-8192/111$ |
$1.14761$ |
$3.01102$ |
$[0, -1, 0, -1333, 93037]$ |
\(y^2=x^3-x^2-1333x+93037\) |
1110.2.0.? |
$[(628/3, 15625/3)]$ |
| 177600.p1 |
177600di4 |
177600.p |
177600di |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{27} \cdot 3^{2} \cdot 5^{7} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$2.782067648$ |
$1$ |
|
$3$ |
$27869184$ |
$3.181583$ |
$127568139540190201/59114336463360$ |
$1.00920$ |
$5.08970$ |
$[0, -1, 0, -16780033, 11815371937]$ |
\(y^2=x^3-x^2-16780033x+11815371937\) |
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.b.1, $\ldots$ |
$[(3687, 7400)]$ |
| 177600.p2 |
177600di2 |
177600.p |
177600di |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{21} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$8.346202945$ |
$1$ |
|
$1$ |
$9289728$ |
$2.632278$ |
$16581570075765001/998001000$ |
$0.97935$ |
$4.92090$ |
$[0, -1, 0, -8500033, -9535148063]$ |
\(y^2=x^3-x^2-8500033x-9535148063\) |
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.b.1, $\ldots$ |
$[(572703/13, 52207000/13)]$ |
| 177600.p3 |
177600di1 |
177600.p |
177600di |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{12} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$16.69240589$ |
$1$ |
|
$1$ |
$4644864$ |
$2.285702$ |
$-3375675045001/999000000$ |
$0.93609$ |
$4.25190$ |
$[0, -1, 0, -500033, -167148063]$ |
\(y^2=x^3-x^2-500033x-167148063\) |
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.c.1, $\ldots$ |
$[(2006293453/83, 89864809216000/83)]$ |
| 177600.p4 |
177600di3 |
177600.p |
177600di |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{36} \cdot 3 \cdot 5^{8} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$5.564135296$ |
$1$ |
|
$3$ |
$13934592$ |
$2.835011$ |
$1367594037332999/995878502400$ |
$0.99161$ |
$4.71447$ |
$[0, -1, 0, 3699967, 1391051937]$ |
\(y^2=x^3-x^2+3699967x+1391051937\) |
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.c.1, $\ldots$ |
$[(-5783/4, 161875/4)]$ |
| 177600.q1 |
177600hz1 |
177600.q |
177600hz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{41} \cdot 3^{9} \cdot 5^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38154240$ |
$3.462433$ |
$-670206957616537490521/6109179936768$ |
$1.09597$ |
$5.79844$ |
$[0, -1, 0, -291708033, 1917768311937]$ |
\(y^2=x^3-x^2-291708033x+1917768311937\) |
888.2.0.? |
$[]$ |
| 177600.r1 |
177600hd1 |
177600.r |
177600hd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1.580578573$ |
$1$ |
|
$2$ |
$716800$ |
$1.422976$ |
$636056/2997$ |
$0.80638$ |
$3.32673$ |
$[0, -1, 0, 7167, -626463]$ |
\(y^2=x^3-x^2+7167x-626463\) |
1480.2.0.? |
$[(267, 4500)]$ |
| 177600.s1 |
177600he1 |
177600.s |
177600he |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.592473947$ |
$1$ |
|
$2$ |
$783360$ |
$1.610077$ |
$-153027765760/50602347$ |
$0.91846$ |
$3.57733$ |
$[0, -1, 0, -32583, -2826963]$ |
\(y^2=x^3-x^2-32583x-2826963\) |
6.2.0.a.1 |
$[(436, 8103)]$ |
| 177600.t1 |
177600ia1 |
177600.t |
177600ia |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$2.093761$ |
$-71581931663761/199800$ |
$0.94955$ |
$4.47041$ |
$[0, -1, 0, -1384033, -626252063]$ |
\(y^2=x^3-x^2-1384033x-626252063\) |
888.2.0.? |
$[]$ |
| 177600.u1 |
177600ib1 |
177600.u |
177600ib |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{19} \cdot 3^{11} \cdot 5^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$4.448819348$ |
$1$ |
|
$2$ |
$1216512$ |
$1.890373$ |
$541343375/13108878$ |
$0.99284$ |
$3.80173$ |
$[0, -1, 0, 27167, 11005537]$ |
\(y^2=x^3-x^2+27167x+11005537\) |
888.2.0.? |
$[(687, 18800)]$ |
| 177600.v1 |
177600ic1 |
177600.v |
177600ic |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{10} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.62318904$ |
$1$ |
|
$0$ |
$1612800$ |
$1.897701$ |
$449945600/332667$ |
$0.95193$ |
$3.78274$ |
$[0, -1, 0, 86667, -5202963]$ |
\(y^2=x^3-x^2+86667x-5202963\) |
6.2.0.a.1 |
$[(55217/28, 24497663/28)]$ |
| 177600.w1 |
177600cl1 |
177600.w |
177600cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{4} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.092983$ |
$449945600/332667$ |
$0.95193$ |
$2.98383$ |
$[0, -1, 0, 3467, 40237]$ |
\(y^2=x^3-x^2+3467x+40237\) |
6.2.0.a.1 |
$[]$ |
| 177600.x1 |
177600id1 |
177600.x |
177600id |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{19} \cdot 3 \cdot 5^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.976589465$ |
$1$ |
|
$4$ |
$516096$ |
$1.257128$ |
$-4826809/5550$ |
$0.92507$ |
$3.19486$ |
$[0, -1, 0, -5633, 283137]$ |
\(y^2=x^3-x^2-5633x+283137\) |
888.2.0.? |
$[(97, 800)]$ |
| 177600.y1 |
177600ie1 |
177600.y |
177600ie |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{12} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$1.849939$ |
$-2054487458/15609375$ |
$0.91300$ |
$3.76690$ |
$[0, -1, 0, -33633, 8935137]$ |
\(y^2=x^3-x^2-33633x+8935137\) |
888.2.0.? |
$[]$ |
| 177600.z1 |
177600if1 |
177600.z |
177600if |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{7} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$2.348892894$ |
$1$ |
|
$2$ |
$3502080$ |
$2.320000$ |
$-16006818542408/14955044985$ |
$0.94177$ |
$4.25397$ |
$[0, -1, 0, -420033, 169559937]$ |
\(y^2=x^3-x^2-420033x+169559937\) |
1480.2.0.? |
$[(1407, 48600)]$ |
| 177600.ba1 |
177600ig1 |
177600.ba |
177600ig |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.104746925$ |
$1$ |
|
$2$ |
$156672$ |
$0.805357$ |
$-153027765760/50602347$ |
$0.91846$ |
$2.77842$ |
$[0, -1, 0, -1303, 23137]$ |
\(y^2=x^3-x^2-1303x+23137\) |
6.2.0.a.1 |
$[(816, 23273)]$ |
| 177600.bb1 |
177600hf1 |
177600.bb |
177600hf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.732192550$ |
$1$ |
|
$14$ |
$143360$ |
$0.618257$ |
$636056/2997$ |
$0.80638$ |
$2.52783$ |
$[0, -1, 0, 287, 4897]$ |
\(y^2=x^3-x^2+287x+4897\) |
1480.2.0.? |
$[(1, 72), (17, 120)]$ |
| 177600.bc1 |
177600ih1 |
177600.bc |
177600ih |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{11} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.226830$ |
$918046641959/674325000$ |
$0.94791$ |
$4.11000$ |
$[0, -1, 0, 323967, -36936063]$ |
\(y^2=x^3-x^2+323967x-36936063\) |
1480.2.0.? |
$[]$ |
| 177600.bd1 |
177600cm1 |
177600.bd |
177600cm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$1.265897388$ |
$1$ |
|
$6$ |
$268800$ |
$1.031155$ |
$-18836438080/333$ |
$0.91381$ |
$3.36663$ |
$[0, -1, 0, -16208, 799662]$ |
\(y^2=x^3-x^2-16208x+799662\) |
148.2.0.? |
$[(67, 100), (293/2, 75/2)]$ |
| 177600.be1 |
177600hg2 |
177600.be |
177600hg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{21} \cdot 3^{4} \cdot 5^{9} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$6.499890976$ |
$1$ |
|
$13$ |
$2949120$ |
$2.137775$ |
$13498272341/887112$ |
$0.91169$ |
$4.16036$ |
$[0, -1, 0, -396833, -90458463]$ |
\(y^2=x^3-x^2-396833x-90458463\) |
2.3.0.a.1, 40.6.0.b.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[(-359, 2368), (-289, 72)]$ |
| 177600.be2 |
177600hg1 |
177600.be |
177600hg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{9} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$6.499890976$ |
$1$ |
|
$15$ |
$1474560$ |
$1.791201$ |
$97972181/21312$ |
$0.86365$ |
$3.75285$ |
$[0, -1, 0, -76833, 6501537]$ |
\(y^2=x^3-x^2-76833x+6501537\) |
2.3.0.a.1, 40.6.0.c.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[(-39, 3072), (467, 8500)]$ |
| 177600.bf1 |
177600ii1 |
177600.bf |
177600ii |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$7.350265615$ |
$1$ |
|
$2$ |
$460800$ |
$1.381639$ |
$-17179869184/44955$ |
$1.16115$ |
$3.55185$ |
$[0, -1, 0, -34133, -2421363]$ |
\(y^2=x^3-x^2-34133x-2421363\) |
1110.2.0.? |
$[(11532, 1238175)]$ |
| 177600.bg1 |
177600hh1 |
177600.bg |
177600hh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{13} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2895360$ |
$2.139400$ |
$225970501640/58989951$ |
$0.91746$ |
$4.08829$ |
$[0, -1, 0, -296833, -46018463]$ |
\(y^2=x^3-x^2-296833x-46018463\) |
888.2.0.? |
$[]$ |
| 177600.bh1 |
177600cn2 |
177600.bh |
177600cn |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{33} \cdot 3^{2} \cdot 5^{3} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15482880$ |
$2.991436$ |
$589429221475670903501/552712568832$ |
$1.03829$ |
$5.38836$ |
$[0, -1, 0, -55896673, -160833456383]$ |
\(y^2=x^3-x^2-55896673x-160833456383\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 177600.bh2 |
177600cn1 |
177600.bh |
177600cn |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{48} \cdot 3 \cdot 5^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7741440$ |
$2.644863$ |
$-140754878313089741/4409857671168$ |
$1.01022$ |
$4.70275$ |
$[0, -1, 0, -3467873, -2550909183]$ |
\(y^2=x^3-x^2-3467873x-2550909183\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[]$ |
| 177600.bi1 |
177600dj1 |
177600.bi |
177600dj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.303917304$ |
$1$ |
|
$4$ |
$322560$ |
$1.311605$ |
$78218787505/2589408$ |
$0.91715$ |
$3.37365$ |
$[0, -1, 0, -16673, 810177]$ |
\(y^2=x^3-x^2-16673x+810177\) |
888.2.0.? |
$[(61, 128)]$ |
| 177600.bj1 |
177600dk1 |
177600.bj |
177600dk |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{21} \cdot 3 \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$0.613003$ |
$9765625/888$ |
$1.07483$ |
$2.63003$ |
$[0, -1, 0, -833, -8223]$ |
\(y^2=x^3-x^2-833x-8223\) |
888.2.0.? |
$[]$ |
| 177600.bk1 |
177600dl1 |
177600.bk |
177600dl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.005953$ |
$1362944/4995$ |
$0.77557$ |
$2.90882$ |
$[0, -1, 0, 1467, 49437]$ |
\(y^2=x^3-x^2+1467x+49437\) |
1110.2.0.? |
$[]$ |
