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 |
187200.a1 |
187200a1 |
187200.a |
187200a |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.574380759$ |
$1$ |
|
$2$ |
$3686400$ |
$2.160221$ |
$351232/59319$ |
$1.13031$ |
$4.05461$ |
$[0, 0, 0, 42000, -56500000]$ |
\(y^2=x^3+42000x-56500000\) |
390.2.0.? |
$[(625, 14625)]$ |
187200.b1 |
187200kp2 |
187200.b |
187200kp |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1.394183587$ |
$1$ |
|
$2$ |
$4976640$ |
$2.371414$ |
$-6434774386429585/140608$ |
$1.01781$ |
$4.83427$ |
$[0, 0, 0, -6526380, 6417363760]$ |
\(y^2=x^3-6526380x+6417363760\) |
3.4.0.a.1, 52.2.0.a.1, 120.8.0.?, 156.8.0.?, 1560.16.0.? |
$[(1496, 1404)]$ |
187200.b2 |
187200kp1 |
187200.b |
187200kp |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{36} \cdot 3^{6} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$4.182550763$ |
$1$ |
|
$2$ |
$1658880$ |
$1.822105$ |
$-9836106385/3407872$ |
$0.94524$ |
$3.76985$ |
$[0, 0, 0, -75180, 10031920]$ |
\(y^2=x^3-75180x+10031920\) |
3.4.0.a.1, 52.2.0.a.1, 120.8.0.?, 156.8.0.?, 1560.16.0.? |
$[(-136, 4212)]$ |
187200.c1 |
187200kq1 |
187200.c |
187200kq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$537600$ |
$1.307568$ |
$-235298/13$ |
$0.96559$ |
$3.33541$ |
$[0, 0, 0, -14700, 718000]$ |
\(y^2=x^3-14700x+718000\) |
104.2.0.? |
$[]$ |
187200.d1 |
187200ch1 |
187200.d |
187200ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.756348$ |
$-17790954496/195$ |
$0.91521$ |
$4.08193$ |
$[0, 0, 0, -310800, -66692000]$ |
\(y^2=x^3-310800x-66692000\) |
390.2.0.? |
$[]$ |
187200.e1 |
187200ci1 |
187200.e |
187200ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$0.230836$ |
$-2963520/13$ |
$0.94220$ |
$2.37883$ |
$[0, 0, 0, -315, -2160]$ |
\(y^2=x^3-315x-2160\) |
52.2.0.a.1 |
$[]$ |
187200.f1 |
187200b1 |
187200.f |
187200b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$307200$ |
$1.035555$ |
$-2963520/13$ |
$0.94220$ |
$3.17428$ |
$[0, 0, 0, -7875, 270000]$ |
\(y^2=x^3-7875x+270000\) |
52.2.0.a.1 |
$[]$ |
187200.g1 |
187200cj1 |
187200.g |
187200cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.088348$ |
$175616/4875$ |
$0.85447$ |
$2.99283$ |
$[0, 0, 0, 1050, 89750]$ |
\(y^2=x^3+1050x+89750\) |
390.2.0.? |
$[]$ |
187200.h1 |
187200c2 |
187200.h |
187200c |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{24} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$24883200$ |
$3.176132$ |
$-6434774386429585/140608$ |
$1.01781$ |
$5.62971$ |
$[0, 0, 0, -163159500, -802170470000]$ |
\(y^2=x^3-163159500x-802170470000\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 52.2.0.a.1, 156.8.0.?, 312.16.0.? |
$[]$ |
187200.h2 |
187200c1 |
187200.h |
187200c |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{36} \cdot 3^{6} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8294400$ |
$2.626823$ |
$-9836106385/3407872$ |
$0.94524$ |
$4.56529$ |
$[0, 0, 0, -1879500, -1253990000]$ |
\(y^2=x^3-1879500x-1253990000\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 52.2.0.a.1, 156.8.0.?, 312.16.0.? |
$[]$ |
187200.i1 |
187200ik1 |
187200.i |
187200ik |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$3.427043487$ |
$1$ |
|
$2$ |
$737280$ |
$1.355501$ |
$351232/59319$ |
$1.13031$ |
$3.25916$ |
$[0, 0, 0, 1680, 452000]$ |
\(y^2=x^3+1680x+452000\) |
390.2.0.? |
$[(145, 1935)]$ |
187200.j1 |
187200il2 |
187200.j |
187200il |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$4.212155745$ |
$1$ |
|
$2$ |
$777600$ |
$1.475481$ |
$671088640/2197$ |
$1.15089$ |
$3.62032$ |
$[0, 0, 0, -48000, 4036250]$ |
\(y^2=x^3-48000x+4036250\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 312.16.0.? |
$[(119, 97)]$ |
187200.j2 |
187200il1 |
187200.j |
187200il |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1.404051915$ |
$1$ |
|
$2$ |
$259200$ |
$0.926174$ |
$163840/13$ |
$0.79946$ |
$2.93516$ |
$[0, 0, 0, -3000, -58750]$ |
\(y^2=x^3-3000x-58750\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 312.16.0.? |
$[(-25, 25)]$ |
187200.k1 |
187200im2 |
187200.k |
187200im |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{25} \cdot 3^{14} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.977002393$ |
$1$ |
|
$7$ |
$5505024$ |
$2.416054$ |
$38686490446661/141927552$ |
$1.00180$ |
$4.54559$ |
$[0, 0, 0, -2029260, -1109107600]$ |
\(y^2=x^3-2029260x-1109107600\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-850, 1280)]$ |
187200.k2 |
187200im1 |
187200.k |
187200im |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{32} \cdot 3^{10} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.954004786$ |
$1$ |
|
$5$ |
$2752512$ |
$2.069481$ |
$29819839301/17252352$ |
$1.14121$ |
$3.95514$ |
$[0, 0, 0, -186060, 498800]$ |
\(y^2=x^3-186060x+498800\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(520, 6660)]$ |
187200.l1 |
187200kr1 |
187200.l |
187200kr |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.019030957$ |
$1$ |
|
$8$ |
$207360$ |
$0.800618$ |
$274360/169$ |
$0.82324$ |
$2.69606$ |
$[0, 0, 0, 1140, 3760]$ |
\(y^2=x^3+1140x+3760\) |
8.2.0.a.1 |
$[(6, 104), (84, 832)]$ |
187200.m1 |
187200oy2 |
187200.m |
187200oy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$0.987689488$ |
$1$ |
|
$9$ |
$2949120$ |
$2.194485$ |
$315978926832/169$ |
$1.06481$ |
$4.59040$ |
$[0, 0, 0, -2432700, 1460430000]$ |
\(y^2=x^3-2432700x+1460430000\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[(850, 2600)]$ |
187200.m2 |
187200oy1 |
187200.m |
187200oy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$1.975378977$ |
$1$ |
|
$7$ |
$1474560$ |
$1.847912$ |
$-1213857792/28561$ |
$1.24370$ |
$3.90715$ |
$[0, 0, 0, -151200, 23085000]$ |
\(y^2=x^3-151200x+23085000\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[(226, 676)]$ |
187200.n1 |
187200oz2 |
187200.n |
187200oz |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.805142057$ |
$1$ |
|
$9$ |
$1179648$ |
$1.829632$ |
$25412184/845$ |
$1.01323$ |
$3.87087$ |
$[0, 0, 0, -132300, 17982000]$ |
\(y^2=x^3-132300x+17982000\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(310, 2600)]$ |
187200.n2 |
187200oz1 |
187200.n |
187200oz |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.610284114$ |
$1$ |
|
$5$ |
$589824$ |
$1.483059$ |
$1728/325$ |
$0.96944$ |
$3.38530$ |
$[0, 0, 0, 2700, 972000]$ |
\(y^2=x^3+2700x+972000\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(10, 1000)]$ |
187200.o1 |
187200ck4 |
187200.o |
187200ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.345921$ |
$490757540836/2142075$ |
$0.93734$ |
$4.46937$ |
$[0, 0, 0, -1490700, -697894000]$ |
\(y^2=x^3-1490700x-697894000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
187200.o2 |
187200ck2 |
187200.o |
187200ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$1.999346$ |
$1650587344/950625$ |
$0.98820$ |
$3.88608$ |
$[0, 0, 0, -140700, 1406000]$ |
\(y^2=x^3-140700x+1406000\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
187200.o3 |
187200ck1 |
187200.o |
187200ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.652771$ |
$9538484224/26325$ |
$0.91841$ |
$3.80219$ |
$[0, 0, 0, -100200, 12179000]$ |
\(y^2=x^3-100200x+12179000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.4, $\ldots$ |
$[]$ |
187200.o4 |
187200ck3 |
187200.o |
187200ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.345921$ |
$26198797244/15234375$ |
$1.02140$ |
$4.22800$ |
$[0, 0, 0, 561300, 11234000]$ |
\(y^2=x^3+561300x+11234000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.2, 78.6.0.?, $\ldots$ |
$[]$ |
187200.p1 |
187200d1 |
187200.p |
187200d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.074099562$ |
$1$ |
|
$4$ |
$1290240$ |
$1.709131$ |
$34295/78$ |
$0.80517$ |
$3.58006$ |
$[0, 0, 0, 28500, 3170000]$ |
\(y^2=x^3+28500x+3170000\) |
312.2.0.? |
$[(-86, 288)]$ |
187200.q1 |
187200cl4 |
187200.q |
187200cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$18.92768848$ |
$1$ |
|
$9$ |
$2097152$ |
$2.075378$ |
$37159393753/1053$ |
$1.11616$ |
$4.37098$ |
$[0, 0, 0, -1001100, -385526000]$ |
\(y^2=x^3-1001100x-385526000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.4, $\ldots$ |
$[(-576, 68), (2336, 100116)]$ |
187200.q2 |
187200cl3 |
187200.q |
187200cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.182980530$ |
$1$ |
|
$25$ |
$2097152$ |
$2.075378$ |
$822656953/85683$ |
$0.96086$ |
$4.05711$ |
$[0, 0, 0, -281100, 51946000]$ |
\(y^2=x^3-281100x+51946000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(146, 3744), (530, 7200)]$ |
187200.q3 |
187200cl2 |
187200.q |
187200cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$4.731922120$ |
$1$ |
|
$23$ |
$1048576$ |
$1.728806$ |
$10218313/1521$ |
$0.91403$ |
$3.69563$ |
$[0, 0, 0, -65100, -5510000]$ |
\(y^2=x^3-65100x-5510000\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(-126, 832), (386, 5184)]$ |
187200.q4 |
187200cl1 |
187200.q |
187200cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.731922120$ |
$1$ |
|
$11$ |
$524288$ |
$1.382233$ |
$12167/39$ |
$0.85844$ |
$3.26560$ |
$[0, 0, 0, 6900, -470000]$ |
\(y^2=x^3+6900x-470000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, 78.6.0.?, $\ldots$ |
$[(140, 1800), (60, 400)]$ |
187200.r1 |
187200ks4 |
187200.r |
187200ks |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{11} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$21.04970651$ |
$1$ |
|
$1$ |
$31457280$ |
$3.361824$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.77910$ |
$[0, 0, 0, -298649100, -1986506026000]$ |
\(y^2=x^3-298649100x-1986506026000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(13496272520/191, 1566166297599700/191)]$ |
187200.r2 |
187200ks3 |
187200.r |
187200ks |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{26} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$21.04970651$ |
$1$ |
|
$1$ |
$31457280$ |
$3.361824$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$5.23987$ |
$[0, 0, 0, -33689100, 25526486000]$ |
\(y^2=x^3-33689100x+25526486000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.4, $\ldots$ |
$[(13774979720/193, 1616527372889900/193)]$ |
187200.r3 |
187200ks2 |
187200.r |
187200ks |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{26} \cdot 3^{16} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$10.52485325$ |
$1$ |
|
$5$ |
$15728640$ |
$3.015251$ |
$242702053576633/2554695936$ |
$1.10395$ |
$5.09458$ |
$[0, 0, 0, -18713100, -30873130000]$ |
\(y^2=x^3-18713100x-30873130000\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(369800, 224864300)]$ |
187200.r4 |
187200ks1 |
187200.r |
187200ks |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{34} \cdot 3^{11} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$5.262426628$ |
$1$ |
|
$5$ |
$7864320$ |
$2.668674$ |
$-822656953/207028224$ |
$1.08584$ |
$4.55771$ |
$[0, 0, 0, -281100, -1197610000]$ |
\(y^2=x^3-281100x-1197610000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.2, 78.6.0.?, $\ldots$ |
$[(1160, 6100)]$ |
187200.s1 |
187200e2 |
187200.s |
187200e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 3^{22} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.797535$ |
$666276475992821/58199166792$ |
$1.01817$ |
$4.78004$ |
$[0, 0, 0, -5240460, -4254722800]$ |
\(y^2=x^3-5240460x-4254722800\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
187200.s2 |
187200e1 |
187200.s |
187200e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{24} \cdot 3^{14} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.450962$ |
$623295446073461/5458752$ |
$1.01539$ |
$4.77455$ |
$[0, 0, 0, -5125260, -4465999600]$ |
\(y^2=x^3-5125260x-4465999600\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
187200.t1 |
187200f2 |
187200.t |
187200f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2293760$ |
$2.108547$ |
$26463592/13689$ |
$1.00478$ |
$4.00044$ |
$[0, 0, 0, -223500, 13250000]$ |
\(y^2=x^3-223500x+13250000\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
187200.t2 |
187200f1 |
187200.t |
187200f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1146880$ |
$1.761972$ |
$107850176/117$ |
$1.01593$ |
$3.94488$ |
$[0, 0, 0, -178500, 29000000]$ |
\(y^2=x^3-178500x+29000000\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
187200.u1 |
187200cm1 |
187200.u |
187200cm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1.283381196$ |
$1$ |
|
$5$ |
$589824$ |
$1.432131$ |
$117649/65$ |
$0.95681$ |
$3.32789$ |
$[0, 0, 0, -14700, 146000]$ |
\(y^2=x^3-14700x+146000\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-80, 900)]$ |
187200.u2 |
187200cm2 |
187200.u |
187200cm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$2.566762393$ |
$1$ |
|
$5$ |
$1179648$ |
$1.778704$ |
$6967871/4225$ |
$0.89914$ |
$3.66409$ |
$[0, 0, 0, 57300, 1154000]$ |
\(y^2=x^3+57300x+1154000\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 156.12.0.?, 260.12.0.?, $\ldots$ |
$[(80, 2500)]$ |
187200.v1 |
187200in2 |
187200.v |
187200in |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{17} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1638400$ |
$1.942251$ |
$5606442/169$ |
$1.17666$ |
$3.98680$ |
$[0, 0, 0, -211500, -36450000]$ |
\(y^2=x^3-211500x-36450000\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
187200.v2 |
187200in1 |
187200.v |
187200in |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$819200$ |
$1.595678$ |
$37044/13$ |
$0.73783$ |
$3.51623$ |
$[0, 0, 0, -31500, 1350000]$ |
\(y^2=x^3-31500x+1350000\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
187200.w1 |
187200cn1 |
187200.w |
187200cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$5.226183923$ |
$1$ |
|
$2$ |
$4838400$ |
$2.441612$ |
$304175/21632$ |
$0.97871$ |
$4.33208$ |
$[0, 0, 0, 172500, 304450000]$ |
\(y^2=x^3+172500x+304450000\) |
8.2.0.a.1 |
$[(684, 27248)]$ |
187200.x1 |
187200kv4 |
187200.x |
187200kv |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$47185920$ |
$3.591011$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$6.13210$ |
$[0, 0, 0, -1246010700, -16928979194000]$ |
\(y^2=x^3-1246010700x-16928979194000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.s.1.7, 40.24.0-40.bb.1.4, $\ldots$ |
$[]$ |
187200.x2 |
187200kv3 |
187200.x |
187200kv |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 3^{10} \cdot 5^{7} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$47185920$ |
$3.591011$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$5.48105$ |
$[0, 0, 0, -89402700, -181083386000]$ |
\(y^2=x^3-89402700x-181083386000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.y.1.11, 40.24.0-40.v.1.6, $\ldots$ |
$[]$ |
187200.x3 |
187200kv2 |
187200.x |
187200kv |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{28} \cdot 3^{8} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$23592960$ |
$3.244434$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$5.44696$ |
$[0, 0, 0, -77882700, -264465146000]$ |
\(y^2=x^3-77882700x-264465146000\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 24.24.0-24.b.1.8, 40.24.0-40.a.1.7, 60.24.0-60.b.1.7, $\ldots$ |
$[]$ |
187200.x4 |
187200kv1 |
187200.x |
187200kv |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{38} \cdot 3^{7} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.897861$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$4.80537$ |
$[0, 0, 0, -4154700, -5384954000]$ |
\(y^2=x^3-4154700x-5384954000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.y.1.3, 30.6.0.a.1, $\ldots$ |
$[]$ |
187200.y1 |
187200io2 |
187200.y |
187200io |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$4.159337583$ |
$1$ |
|
$2$ |
$14929920$ |
$3.101456$ |
$-168256703745625/30371328$ |
$1.05268$ |
$5.32957$ |
$[0, 0, 0, -48427500, 129734030000]$ |
\(y^2=x^3-48427500x+129734030000\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 78.8.0.?, 312.16.0.? |
$[(-1946, 465408)]$ |
187200.y2 |
187200io1 |
187200.y |
187200io |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{15} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1.386445861$ |
$1$ |
|
$4$ |
$4976640$ |
$2.552151$ |
$7604375/2047032$ |
$1.24246$ |
$4.44222$ |
$[0, 0, 0, 172500, 594110000]$ |
\(y^2=x^3+172500x+594110000\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 78.8.0.?, 312.16.0.? |
$[(-650, 14400)]$ |
187200.z1 |
187200cq1 |
187200.z |
187200cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.982871581$ |
$1$ |
|
$2$ |
$829440$ |
$1.707237$ |
$261568120/10024911$ |
$0.97986$ |
$3.60528$ |
$[0, 0, 0, 11220, -3694480]$ |
\(y^2=x^3+11220x-3694480\) |
312.2.0.? |
$[(166, 1656)]$ |
187200.ba1 |
187200hc4 |
187200.ba |
187200hc |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$3.482380795$ |
$1$ |
|
$5$ |
$15925248$ |
$2.958248$ |
$520300455507/193072360$ |
$0.98306$ |
$4.85987$ |
$[0, 0, 0, -7238700, -4490046000]$ |
\(y^2=x^3-7238700x-4490046000\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 120.48.0.?, 156.48.0.?, $\ldots$ |
$[(3565, 122525)]$ |