Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
435120.a1 |
435120a2 |
435120.a |
435120a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{5} \cdot 7^{8} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$106168320$ |
$3.580971$ |
$14711521130257336665842/3535891707403125$ |
$[0, -1, 0, -317651336, 2178738187536]$ |
\(y^2=x^3-x^2-317651336x+2178738187536\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[]$ |
435120.a2 |
435120a1 |
435120.a |
435120a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3 \cdot 5^{10} \cdot 7^{10} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53084160$ |
$3.234394$ |
$-4942070543512831684/3563023037109375$ |
$[0, -1, 0, -17526336, 42328387536]$ |
\(y^2=x^3-x^2-17526336x+42328387536\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[]$ |
435120.b1 |
435120b2 |
435120.b |
435120b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$2.811208246$ |
$1$ |
|
$3$ |
$1179648$ |
$1.196526$ |
$240230105008/130078125$ |
$[0, -1, 0, -5756, 44556]$ |
\(y^2=x^3-x^2-5756x+44556\) |
2.3.0.a.1, 84.6.0.?, 444.6.0.?, 1036.6.0.?, 3108.12.0.? |
$[(5, 126)]$ |
435120.b2 |
435120b1 |
435120.b |
435120b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1.405604123$ |
$1$ |
|
$3$ |
$589824$ |
$0.849952$ |
$1789384327168/2566875$ |
$[0, -1, 0, -4461, 116040]$ |
\(y^2=x^3-x^2-4461x+116040\) |
2.3.0.a.1, 42.6.0.a.1, 444.6.0.?, 1036.6.0.?, 3108.12.0.? |
$[(68, 350)]$ |
435120.c1 |
435120c1 |
435120.c |
435120c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{15} \cdot 5^{7} \cdot 7^{12} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$30.73707191$ |
$1$ |
|
$0$ |
$133539840$ |
$3.707886$ |
$4807693119590934708224/4879763961468046875$ |
$[0, -1, 0, 109399099, -382444272615]$ |
\(y^2=x^3-x^2+109399099x-382444272615\) |
1110.2.0.? |
$[(38460904790365/32807, 247565513477973002290/32807)]$ |
435120.d1 |
435120d2 |
435120.d |
435120d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{7} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$2.171753650$ |
$1$ |
|
$3$ |
$7077888$ |
$2.133259$ |
$84033427451401/174650175$ |
$[0, -1, 0, -715416, -232251984]$ |
\(y^2=x^3-x^2-715416x-232251984\) |
2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.? |
$[(-499, 490)]$ |
435120.d2 |
435120d1 |
435120.d |
435120d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$4.343507300$ |
$1$ |
|
$3$ |
$3538944$ |
$1.786684$ |
$-5841725401/30594375$ |
$[0, -1, 0, -29416, -6146384]$ |
\(y^2=x^3-x^2-29416x-6146384\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(2028, 90944)]$ |
435120.e1 |
435120e1 |
435120.e |
435120e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4105728$ |
$1.887478$ |
$353221512666239/233046720000$ |
$[0, -1, 0, 86224, -3676224]$ |
\(y^2=x^3-x^2+86224x-3676224\) |
888.2.0.? |
$[]$ |
435120.f1 |
435120f1 |
435120.f |
435120f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{18} \cdot 3 \cdot 5^{5} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$3.958890723$ |
$1$ |
|
$2$ |
$5529600$ |
$1.986227$ |
$-2058561081361/155400000$ |
$[0, -1, 0, -207776, 38827776]$ |
\(y^2=x^3-x^2-207776x+38827776\) |
15540.2.0.? |
$[(-422, 7154)]$ |
435120.g1 |
435120g1 |
435120.g |
435120g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{17} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.527681185$ |
$1$ |
|
$4$ |
$437760$ |
$0.920562$ |
$1459694999/2220000$ |
$[0, -1, 0, 1384, 24816]$ |
\(y^2=x^3-x^2+1384x+24816\) |
888.2.0.? |
$[(-14, 50)]$ |
435120.h1 |
435120h2 |
435120.h |
435120h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{7} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$26542080$ |
$2.874161$ |
$171630512561581335376/117888868125$ |
$[0, -1, 0, -36021876, -83202175440]$ |
\(y^2=x^3-x^2-36021876x-83202175440\) |
2.3.0.a.1, 42.6.0.a.1, 148.6.0.?, 3108.12.0.? |
$[]$ |
435120.h2 |
435120h1 |
435120.h |
435120h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{2} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13271040$ |
$2.527588$ |
$683165157478352896/17559833663925$ |
$[0, -1, 0, -2265531, -1282277394]$ |
\(y^2=x^3-x^2-2265531x-1282277394\) |
2.3.0.a.1, 74.6.0.?, 84.6.0.?, 3108.12.0.? |
$[]$ |
435120.i1 |
435120i3 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$62160$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$63700992$ |
$3.272923$ |
$4385367890843575421521/24975000000$ |
$[0, -1, 0, -267347936, 1682621243136]$ |
\(y^2=x^3-x^2-267347936x+1682621243136\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
435120.i2 |
435120i6 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{24} \cdot 5 \cdot 7^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$62160$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$127401984$ |
$3.619495$ |
$3080272010107543650001/15465841417699560$ |
$[0, -1, 0, -237650016, -1403906400000]$ |
\(y^2=x^3-x^2-237650016x-1403906400000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0.bp.1, $\ldots$ |
$[]$ |
435120.i3 |
435120i4 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$31080$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$63700992$ |
$3.272923$ |
$2788936974993502801/1593609593601600$ |
$[0, -1, 0, -22990816, 4773134080]$ |
\(y^2=x^3-x^2-22990816x+4773134080\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 28.24.0-4.b.1.3, 40.24.0.e.1, $\ldots$ |
$[]$ |
435120.i4 |
435120i2 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$31080$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$31850496$ |
$2.926346$ |
$1072487167529950801/2554882560000$ |
$[0, -1, 0, -16718816, 26263514880]$ |
\(y^2=x^3-x^2-16718816x+26263514880\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 28.24.0-4.b.1.1, 40.24.0.l.1, $\ldots$ |
$[]$ |
435120.i5 |
435120i1 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{36} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$62160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15925248$ |
$2.579773$ |
$-66730743078481/419010969600$ |
$[0, -1, 0, -662496, 714698496]$ |
\(y^2=x^3-x^2-662496x+714698496\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.1, 48.24.0.f.1, $\ldots$ |
$[]$ |
435120.i6 |
435120i5 |
435120.i |
435120i |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$62160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$127401984$ |
$3.619495$ |
$174751791402194852399/102423900876336360$ |
$[0, -1, 0, 91316384, 37967944960]$ |
\(y^2=x^3-x^2+91316384x+37967944960\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.2, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
435120.j1 |
435120j1 |
435120.j |
435120j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$8.671744622$ |
$1$ |
|
$0$ |
$3317760$ |
$1.802433$ |
$-789145184521/6853140$ |
$[0, -1, 0, -150936, -22688784]$ |
\(y^2=x^3-x^2-150936x-22688784\) |
15540.2.0.? |
$[(54554/11, 1117690/11)]$ |
435120.k1 |
435120k1 |
435120.k |
435120k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{31} \cdot 5^{6} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$22.66373706$ |
$1$ |
|
$0$ |
$488968704$ |
$4.301361$ |
$-46164817745420862606194944/357092432226656859375$ |
$[0, -1, 0, -3376737016, 76029764176591]$ |
\(y^2=x^3-x^2-3376737016x+76029764176591\) |
222.2.0.? |
$[(79226096779/717, 20902329341358625/717)]$ |
435120.l1 |
435120l2 |
435120.l |
435120l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{14} \cdot 5 \cdot 7^{8} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$5.594374216$ |
$1$ |
|
$3$ |
$24772608$ |
$2.901661$ |
$74533948968883321/12833853739560$ |
$[0, -1, 0, -6873736, 5815928560]$ |
\(y^2=x^3-x^2-6873736x+5815928560\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(3386, 146118)]$ |
435120.l2 |
435120l1 |
435120.l |
435120l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{2} \cdot 7^{10} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.797187108$ |
$1$ |
|
$5$ |
$12386304$ |
$2.555084$ |
$121721586383879/310858430400$ |
$[0, -1, 0, 809464, 517593840]$ |
\(y^2=x^3-x^2+809464x+517593840\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(-44, 21952)]$ |
435120.m1 |
435120m1 |
435120.m |
435120m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$3.002236918$ |
$1$ |
|
$0$ |
$115200$ |
$0.079300$ |
$-614656/24975$ |
$[0, -1, 0, -16, -209]$ |
\(y^2=x^3-x^2-16x-209\) |
222.2.0.? |
$[(29/2, 15/2)]$ |
435120.n1 |
435120n1 |
435120.n |
435120n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.402031$ |
$-398688256/244755$ |
$[0, -1, 0, -12021, 732285]$ |
\(y^2=x^3-x^2-12021x+732285\) |
1110.2.0.? |
$[]$ |
435120.o1 |
435120o1 |
435120.o |
435120o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{7} \cdot 7^{9} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$94832640$ |
$3.521259$ |
$145313387766490553/92315092500000$ |
$[0, -1, 0, 60109264, -56106752064]$ |
\(y^2=x^3-x^2+60109264x-56106752064\) |
10360.2.0.? |
$[]$ |
435120.p1 |
435120p1 |
435120.p |
435120p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{9} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5548032$ |
$2.137863$ |
$-159347052254/3371625$ |
$[0, -1, 0, -491976, -135062640]$ |
\(y^2=x^3-x^2-491976x-135062640\) |
10360.2.0.? |
$[]$ |
435120.q1 |
435120q1 |
435120.q |
435120q |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3421440$ |
$1.915424$ |
$-71581931663761/199800$ |
$[0, -1, 0, -678176, -214736640]$ |
\(y^2=x^3-x^2-678176x-214736640\) |
888.2.0.? |
$[]$ |
435120.r1 |
435120r1 |
435120.r |
435120r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$827904$ |
$1.293955$ |
$310507876/555$ |
$[0, -1, 0, -25496, -1556064]$ |
\(y^2=x^3-x^2-25496x-1556064\) |
2220.2.0.? |
$[]$ |
435120.s1 |
435120s2 |
435120.s |
435120s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 7^{3} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$5.810324004$ |
$1$ |
|
$13$ |
$1572864$ |
$1.449636$ |
$412994303623/151723125$ |
$[0, -1, 0, -17376, 538560]$ |
\(y^2=x^3-x^2-17376x+538560\) |
2.3.0.a.1, 28.6.0.c.1, 148.6.0.?, 1036.12.0.? |
$[(114, 162), (26, 322)]$ |
435120.s2 |
435120s1 |
435120.s |
435120s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1.452581001$ |
$1$ |
|
$23$ |
$786432$ |
$1.103064$ |
$2942649737/2772225$ |
$[0, -1, 0, 3344, 57856]$ |
\(y^2=x^3-x^2+3344x+57856\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[(58, 666), (-14, 90)]$ |
435120.t1 |
435120t3 |
435120.t |
435120t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$3.800140524$ |
$1$ |
|
$3$ |
$38928384$ |
$3.065769$ |
$8167450100737631904002/124875$ |
$[0, -1, 0, -261072016, 1623722749216]$ |
\(y^2=x^3-x^2-261072016x+1623722749216\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[(9338, 1506)]$ |
435120.t2 |
435120t4 |
435120.t |
435120t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$3.800140524$ |
$1$ |
|
$3$ |
$38928384$ |
$3.065769$ |
$2085187657182084002/124500749500125$ |
$[0, -1, 0, -16562016, 24573645216]$ |
\(y^2=x^3-x^2-16562016x+24573645216\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.v.1, 280.24.0.?, $\ldots$ |
$[(1890, 4374)]$ |
435120.t3 |
435120t2 |
435120.t |
435120t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$1.900070262$ |
$1$ |
|
$11$ |
$19464192$ |
$2.719196$ |
$3988023972023988004/15593765625$ |
$[0, -1, 0, -16317016, 25374697216]$ |
\(y^2=x^3-x^2-16317016x+25374697216\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 280.24.0.?, 444.12.0.?, $\ldots$ |
$[(2588, 21756)]$ |
435120.t4 |
435120t1 |
435120.t |
435120t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{12} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$3.800140524$ |
$1$ |
|
$3$ |
$9732096$ |
$2.372620$ |
$-3721915550952016/243896484375$ |
$[0, -1, 0, -1004516, 409197216]$ |
\(y^2=x^3-x^2-1004516x+409197216\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, 222.6.0.?, $\ldots$ |
$[(600, 4704)]$ |
435120.u1 |
435120u2 |
435120.u |
435120u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 7^{9} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15540$ |
$12$ |
$0$ |
$1.840557784$ |
$1$ |
|
$5$ |
$2064384$ |
$1.806183$ |
$198155287/102675$ |
$[0, -1, 0, -66656, 2164800]$ |
\(y^2=x^3-x^2-66656x+2164800\) |
2.3.0.a.1, 42.6.0.a.1, 2220.6.0.?, 5180.6.0.?, 15540.12.0.? |
$[(376, 5488)]$ |
435120.u2 |
435120u1 |
435120.u |
435120u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{9} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15540$ |
$12$ |
$0$ |
$3.681115568$ |
$1$ |
|
$3$ |
$1032192$ |
$1.459608$ |
$2571353/1665$ |
$[0, -1, 0, 15664, 254976]$ |
\(y^2=x^3-x^2+15664x+254976\) |
2.3.0.a.1, 84.6.0.?, 2220.6.0.?, 2590.6.0.?, 15540.12.0.? |
$[(48, 1056)]$ |
435120.v1 |
435120v2 |
435120.v |
435120v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$2.722461457$ |
$1$ |
|
$15$ |
$2555904$ |
$1.684784$ |
$52089777754576/407925$ |
$[0, -1, 0, -242076, 45923760]$ |
\(y^2=x^3-x^2-242076x+45923760\) |
2.3.0.a.1, 74.6.0.?, 84.6.0.?, 3108.12.0.? |
$[(264, 588), (1608, 61740)]$ |
435120.v2 |
435120v1 |
435120.v |
435120v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$10.88984583$ |
$1$ |
|
$3$ |
$1277952$ |
$1.338211$ |
$216727177216/17968125$ |
$[0, -1, 0, -15451, 689410]$ |
\(y^2=x^3-x^2-15451x+689410\) |
2.3.0.a.1, 42.6.0.a.1, 148.6.0.?, 3108.12.0.? |
$[(54, 98), (-235/2, 9435/2)]$ |
435120.w1 |
435120w1 |
435120.w |
435120w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 7^{8} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4032000$ |
$1.975277$ |
$-30170591444224/307716975$ |
$[0, -1, 0, -293036, -61494285]$ |
\(y^2=x^3-x^2-293036x-61494285\) |
222.2.0.? |
$[]$ |
435120.x1 |
435120x1 |
435120.x |
435120x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{13} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2066688$ |
$1.537153$ |
$727044935369984/921717984375$ |
$[0, -1, 0, 17274, -959265]$ |
\(y^2=x^3-x^2+17274x-959265\) |
222.2.0.? |
$[]$ |
435120.y1 |
435120y3 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{13} \cdot 3 \cdot 5 \cdot 7^{14} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11796480$ |
$2.530647$ |
$23531588875176481/6398929110$ |
$[0, -1, 0, -4680496, 3898143040]$ |
\(y^2=x^3-x^2-4680496x+3898143040\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[]$ |
435120.y2 |
435120y4 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{13} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.530647$ |
$2614441086442081/74385450090$ |
$[0, -1, 0, -2250096, -1266033600]$ |
\(y^2=x^3-x^2-2250096x-1266033600\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.v.1, 280.24.0.?, $\ldots$ |
$[]$ |
435120.y3 |
435120y2 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$2.184074$ |
$8194759433281/2958272100$ |
$[0, -1, 0, -329296, 44720320]$ |
\(y^2=x^3-x^2-329296x+44720320\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 280.24.0.?, 444.12.0.?, $\ldots$ |
$[]$ |
435120.y4 |
435120y1 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{16} \cdot 3 \cdot 5^{4} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.837500$ |
$56578878719/54390000$ |
$[0, -1, 0, 62704, 4893120]$ |
\(y^2=x^3-x^2+62704x+4893120\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, 222.6.0.?, $\ldots$ |
$[]$ |
435120.z1 |
435120z1 |
435120.z |
435120z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1002240$ |
$1.265657$ |
$-327864720929536/13272738975$ |
$[0, -1, 0, -13246, 611395]$ |
\(y^2=x^3-x^2-13246x+611395\) |
222.2.0.? |
$[]$ |
435120.ba1 |
435120ba1 |
435120.ba |
435120ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$162570240$ |
$3.874104$ |
$3713102264066983114319/2174129434036224000$ |
$[0, -1, 0, 252922304, 168053226496]$ |
\(y^2=x^3-x^2+252922304x+168053226496\) |
15540.2.0.? |
$[]$ |
435120.bb1 |
435120bb2 |
435120.bb |
435120bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24772608$ |
$2.804943$ |
$7242676576090759442/11981002005$ |
$[0, -1, 0, -25082136, 48358115856]$ |
\(y^2=x^3-x^2-25082136x+48358115856\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[]$ |
435120.bb2 |
435120bb1 |
435120.bb |
435120bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7^{14} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12386304$ |
$2.458370$ |
$-3433942216615684/143975904975$ |
$[0, -1, 0, -1552336, 771448336]$ |
\(y^2=x^3-x^2-1552336x+771448336\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[]$ |
435120.bc1 |
435120bc1 |
435120.bc |
435120bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 7^{10} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$21.66152003$ |
$1$ |
|
$0$ |
$15434496$ |
$2.713177$ |
$51476622143744/224325674775$ |
$[0, -1, 0, 1281334, 1426192755]$ |
\(y^2=x^3-x^2+1281334x+1426192755\) |
222.2.0.? |
$[(-464134407/1789, 201404604820425/1789)]$ |
435120.bd1 |
435120bd2 |
435120.bd |
435120bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 7^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$7.474531101$ |
$1$ |
|
$1$ |
$1720320$ |
$1.554142$ |
$78427801868848/4424246325$ |
$[0, -1, 0, -39636, -2872260]$ |
\(y^2=x^3-x^2-39636x-2872260\) |
2.3.0.a.1, 84.6.0.?, 444.6.0.?, 1036.6.0.?, 3108.12.0.? |
$[(1309/2, 34959/2)]$ |