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 |
53.a1 |
53a1 |
53.a |
53a |
$1$ |
$1$ |
\( 53 \) |
\( -53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.092981484$ |
$1$ |
|
$8$ |
$2$ |
$-0.988547$ |
$3375/53$ |
$0.83211$ |
$2.86817$ |
$[1, -1, 1, 0, 0]$ |
\(y^2+xy+y=x^3-x^2\) |
212.2.0.? |
$[(0, 0)]$ |
477.a1 |
477a1 |
477.a |
477a |
$1$ |
$1$ |
\( 3^{2} \cdot 53 \) |
\( - 3^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.226549600$ |
$1$ |
|
$2$ |
$28$ |
$-0.439241$ |
$3375/53$ |
$0.83211$ |
$2.91513$ |
$[1, -1, 0, 3, -10]$ |
\(y^2+xy=x^3-x^2+3x-10\) |
212.2.0.? |
$[(2, 0)]$ |
848.g1 |
848e1 |
848.g |
848e |
$1$ |
$1$ |
\( 2^{4} \cdot 53 \) |
\( - 2^{12} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$-0.295401$ |
$3375/53$ |
$0.83211$ |
$2.92238$ |
$[0, 0, 0, 5, -22]$ |
\(y^2=x^3+5x-22\) |
212.2.0.? |
$[]$ |
1325.e1 |
1325c1 |
1325.e |
1325c |
$1$ |
$1$ |
\( 5^{2} \cdot 53 \) |
\( - 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$-0.183829$ |
$3375/53$ |
$0.83211$ |
$2.92719$ |
$[1, -1, 0, 8, 41]$ |
\(y^2+xy=x^3-x^2+8x+41\) |
212.2.0.? |
$[]$ |
2597.a1 |
2597d1 |
2597.a |
2597d |
$1$ |
$1$ |
\( 7^{2} \cdot 53 \) |
\( - 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.015593$ |
$3375/53$ |
$0.83211$ |
$2.93343$ |
$[1, -1, 1, 15, -122]$ |
\(y^2+xy+y=x^3-x^2+15x-122\) |
212.2.0.? |
$[]$ |
2809.a1 |
2809a1 |
2809.a |
2809a |
$1$ |
$1$ |
\( 53^{2} \) |
\( - 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$4.369757714$ |
$1$ |
|
$0$ |
$5616$ |
$0.996598$ |
$3375/53$ |
$0.83211$ |
$4.43408$ |
$[1, -1, 0, 878, 50957]$ |
\(y^2+xy=x^3-x^2+878x+50957\) |
212.2.0.? |
$[(3964/3, 244055/3)]$ |
3392.a1 |
3392t1 |
3392.a |
3392t |
$1$ |
$1$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{18} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.559797422$ |
$1$ |
|
$4$ |
$1024$ |
$0.051173$ |
$3375/53$ |
$0.83211$ |
$2.93561$ |
$[0, 0, 0, 20, -176]$ |
\(y^2=x^3+20x-176\) |
212.2.0.? |
$[(10, 32)]$ |
3392.s1 |
3392k1 |
3392.s |
3392k |
$1$ |
$1$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{18} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.051173$ |
$3375/53$ |
$0.83211$ |
$2.93561$ |
$[0, 0, 0, 20, 176]$ |
\(y^2=x^3+20x+176\) |
212.2.0.? |
$[]$ |
6413.h1 |
6413g1 |
6413.h |
6413g |
$1$ |
$1$ |
\( 11^{2} \cdot 53 \) |
\( - 11^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.210400$ |
$3375/53$ |
$0.83211$ |
$2.94029$ |
$[1, -1, 0, 38, -467]$ |
\(y^2+xy=x^3-x^2+38x-467\) |
212.2.0.? |
$[]$ |
7632.j1 |
7632l1 |
7632.j |
7632l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 53 \) |
\( - 2^{12} \cdot 3^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1792$ |
$0.253906$ |
$3375/53$ |
$0.83211$ |
$2.94145$ |
$[0, 0, 0, 45, 594]$ |
\(y^2=x^3+45x+594\) |
212.2.0.? |
$[]$ |
8957.b1 |
8957b1 |
8957.b |
8957b |
$1$ |
$1$ |
\( 13^{2} \cdot 53 \) |
\( - 13^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$2.659844128$ |
$1$ |
|
$2$ |
$4488$ |
$0.293927$ |
$3375/53$ |
$0.83211$ |
$2.94248$ |
$[1, -1, 0, 53, 742]$ |
\(y^2+xy=x^3-x^2+53x+742\) |
212.2.0.? |
$[(-2, 26)]$ |
11925.h1 |
11925p1 |
11925.h |
11925p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 3^{6} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$0.365478$ |
$3375/53$ |
$0.83211$ |
$2.94424$ |
$[1, -1, 1, 70, -1178]$ |
\(y^2+xy+y=x^3-x^2+70x-1178\) |
212.2.0.? |
$[]$ |
15317.e1 |
15317g1 |
15317.e |
15317g |
$1$ |
$1$ |
\( 17^{2} \cdot 53 \) |
\( - 17^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$5.261898881$ |
$1$ |
|
$0$ |
$10080$ |
$0.428059$ |
$3375/53$ |
$0.83211$ |
$2.94569$ |
$[1, -1, 1, 90, 1666]$ |
\(y^2+xy+y=x^3-x^2+90x+1666\) |
212.2.0.? |
$[(70/3, 1309/3)]$ |
19133.b1 |
19133a1 |
19133.b |
19133a |
$1$ |
$1$ |
\( 19^{2} \cdot 53 \) |
\( - 19^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$13.26696727$ |
$1$ |
|
$0$ |
$13500$ |
$0.483672$ |
$3375/53$ |
$0.83211$ |
$2.94691$ |
$[1, -1, 0, 113, -2386]$ |
\(y^2+xy=x^3-x^2+113x-2386\) |
212.2.0.? |
$[(388630/141, 207234068/141)]$ |
21200.a1 |
21200v1 |
21200.a |
21200v |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 53 \) |
\( - 2^{12} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.944016623$ |
$1$ |
|
$4$ |
$18432$ |
$0.509318$ |
$3375/53$ |
$0.83211$ |
$2.94746$ |
$[0, 0, 0, 125, -2750]$ |
\(y^2=x^3+125x-2750\) |
212.2.0.? |
$[(15, 50)]$ |
23373.m1 |
23373f1 |
23373.m |
23373f |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 53 \) |
\( - 3^{6} \cdot 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.533713$ |
$3375/53$ |
$0.83211$ |
$2.94797$ |
$[1, -1, 0, 138, 3149]$ |
\(y^2+xy=x^3-x^2+138x+3149\) |
212.2.0.? |
$[]$ |
25281.a1 |
25281e1 |
25281.a |
25281e |
$1$ |
$1$ |
\( 3^{2} \cdot 53^{2} \) |
\( - 3^{6} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78624$ |
$1.545904$ |
$3375/53$ |
$0.83211$ |
$4.12327$ |
$[1, -1, 1, 7900, -1383740]$ |
\(y^2+xy+y=x^3-x^2+7900x-1383740\) |
212.2.0.? |
$[]$ |
28037.a1 |
28037c1 |
28037.a |
28037c |
$1$ |
$1$ |
\( 23^{2} \cdot 53 \) |
\( - 23^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$3.516985419$ |
$1$ |
|
$2$ |
$23188$ |
$0.579200$ |
$3375/53$ |
$0.83211$ |
$2.94889$ |
$[1, -1, 1, 165, -4224]$ |
\(y^2+xy+y=x^3-x^2+165x-4224\) |
212.2.0.? |
$[(22, 87)]$ |
30528.ba1 |
30528f1 |
30528.ba |
30528f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{18} \cdot 3^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14336$ |
$0.600479$ |
$3375/53$ |
$0.83211$ |
$2.94931$ |
$[0, 0, 0, 180, -4752]$ |
\(y^2=x^3+180x-4752\) |
212.2.0.? |
$[]$ |
30528.bg1 |
30528bj1 |
30528.bg |
30528bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{18} \cdot 3^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.792918283$ |
$1$ |
|
$2$ |
$14336$ |
$0.600479$ |
$3375/53$ |
$0.83211$ |
$2.94931$ |
$[0, 0, 0, 180, 4752]$ |
\(y^2=x^3+180x+4752\) |
212.2.0.? |
$[(34, 224)]$ |
41552.b1 |
41552bp1 |
41552.b |
41552bp |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 53 \) |
\( - 2^{12} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.856602673$ |
$1$ |
|
$4$ |
$36864$ |
$0.677554$ |
$3375/53$ |
$0.83211$ |
$2.95078$ |
$[0, 0, 0, 245, 7546]$ |
\(y^2=x^3+245x+7546\) |
212.2.0.? |
$[(7, 98)]$ |
44573.a1 |
44573a1 |
44573.a |
44573a |
$1$ |
$1$ |
\( 29^{2} \cdot 53 \) |
\( - 29^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$12.42098500$ |
$1$ |
|
$0$ |
$47656$ |
$0.695100$ |
$3375/53$ |
$0.83211$ |
$2.95111$ |
$[1, -1, 0, 263, 8318]$ |
\(y^2+xy=x^3-x^2+263x+8318\) |
212.2.0.? |
$[(247834/3, 123005614/3)]$ |
44944.a1 |
44944h1 |
44944.a |
44944h |
$1$ |
$1$ |
\( 2^{4} \cdot 53^{2} \) |
\( - 2^{12} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$1.689745$ |
$3375/53$ |
$0.83211$ |
$4.06294$ |
$[0, 0, 0, 14045, -3275294]$ |
\(y^2=x^3+14045x-3275294\) |
212.2.0.? |
$[]$ |
50933.a1 |
50933a1 |
50933.a |
50933a |
$1$ |
$1$ |
\( 31^{2} \cdot 53 \) |
\( - 31^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$2.629594932$ |
$1$ |
|
$0$ |
$60480$ |
$0.728446$ |
$3375/53$ |
$0.83211$ |
$2.95171$ |
$[1, -1, 1, 300, -10316]$ |
\(y^2+xy+y=x^3-x^2+300x-10316\) |
212.2.0.? |
$[(289/3, 4358/3)]$ |
57717.h1 |
57717w1 |
57717.h |
57717w |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 53 \) |
\( - 3^{6} \cdot 11^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$0.759706$ |
$3375/53$ |
$0.83211$ |
$2.95226$ |
$[1, -1, 1, 340, 12268]$ |
\(y^2+xy+y=x^3-x^2+340x+12268\) |
212.2.0.? |
$[]$ |
64925.m1 |
64925i1 |
64925.m |
64925i |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 53 \) |
\( - 5^{6} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.309243573$ |
$1$ |
|
$2$ |
$82944$ |
$0.789126$ |
$3375/53$ |
$0.83211$ |
$2.95276$ |
$[1, -1, 0, 383, -14834]$ |
\(y^2+xy=x^3-x^2+383x-14834\) |
212.2.0.? |
$[(114, 1168)]$ |
70225.c1 |
70225d1 |
70225.c |
70225d |
$1$ |
$1$ |
\( 5^{2} \cdot 53^{2} \) |
\( - 5^{6} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.304242550$ |
$1$ |
|
$0$ |
$808704$ |
$1.801317$ |
$3375/53$ |
$0.83211$ |
$4.02043$ |
$[1, -1, 1, 21945, 6391572]$ |
\(y^2+xy+y=x^3-x^2+21945x+6391572\) |
212.2.0.? |
$[(-1124/3, 36785/3)]$ |
72557.c1 |
72557a1 |
72557.c |
72557a |
$1$ |
$1$ |
\( 37^{2} \cdot 53 \) |
\( - 37^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$4.036434856$ |
$1$ |
|
$2$ |
$102168$ |
$0.816912$ |
$3375/53$ |
$0.83211$ |
$2.95323$ |
$[1, -1, 0, 428, 17305]$ |
\(y^2+xy=x^3-x^2+428x+17305\) |
212.2.0.? |
$[(32, 235)]$ |
80613.f1 |
80613j1 |
80613.f |
80613j |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 53 \) |
\( - 3^{6} \cdot 13^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$10.07221420$ |
$1$ |
|
$2$ |
$62832$ |
$0.843233$ |
$3375/53$ |
$0.83211$ |
$2.95367$ |
$[1, -1, 1, 475, -20510]$ |
\(y^2+xy+y=x^3-x^2+475x-20510\) |
212.2.0.? |
$[(23660, 3627449)]$ |
84800.e1 |
84800l1 |
84800.e |
84800l |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{18} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1.641615136$ |
$1$ |
|
$2$ |
$147456$ |
$0.855892$ |
$3375/53$ |
$0.83211$ |
$2.95388$ |
$[0, 0, 0, 500, 22000]$ |
\(y^2=x^3+500x+22000\) |
212.2.0.? |
$[(20, 200)]$ |
84800.cn1 |
84800bt1 |
84800.cn |
84800bt |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{18} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$0.855892$ |
$3375/53$ |
$0.83211$ |
$2.95388$ |
$[0, 0, 0, 500, -22000]$ |
\(y^2=x^3+500x-22000\) |
212.2.0.? |
$[]$ |
89093.a1 |
89093d1 |
89093.a |
89093d |
$1$ |
$1$ |
\( 41^{2} \cdot 53 \) |
\( - 41^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$138240$ |
$0.868238$ |
$3375/53$ |
$0.83211$ |
$2.95408$ |
$[1, -1, 1, 525, 23560]$ |
\(y^2+xy+y=x^3-x^2+525x+23560\) |
212.2.0.? |
$[]$ |
97997.a1 |
97997a1 |
97997.a |
97997a |
$1$ |
$1$ |
\( 43^{2} \cdot 53 \) |
\( - 43^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$162288$ |
$0.892053$ |
$3375/53$ |
$0.83211$ |
$2.95446$ |
$[1, -1, 0, 578, -27475]$ |
\(y^2+xy=x^3-x^2+578x-27475\) |
212.2.0.? |
$[]$ |
102608.ba1 |
102608u1 |
102608.ba |
102608u |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 53 \) |
\( - 2^{12} \cdot 11^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$3.875271514$ |
$1$ |
|
$0$ |
$184320$ |
$0.903547$ |
$3375/53$ |
$0.83211$ |
$2.95464$ |
$[0, 0, 0, 605, 29282]$ |
\(y^2=x^3+605x+29282\) |
212.2.0.? |
$[(847/3, 25894/3)]$ |
117077.a1 |
117077a1 |
117077.a |
117077a |
$1$ |
$1$ |
\( 47^{2} \cdot 53 \) |
\( - 47^{6} \cdot 53 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$4.449649724$ |
$1$ |
|
$6$ |
$211600$ |
$0.936526$ |
$3375/53$ |
$0.83211$ |
$2.95515$ |
$[1, -1, 1, 690, -35862]$ |
\(y^2+xy+y=x^3-x^2+690x-35862\) |
212.2.0.? |
$[(106, 1051), (68, 533)]$ |
137641.f1 |
137641f1 |
137641.f |
137641f |
$1$ |
$1$ |
\( 7^{2} \cdot 53^{2} \) |
\( - 7^{6} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1617408$ |
$1.969553$ |
$3375/53$ |
$0.83211$ |
$3.96240$ |
$[1, -1, 0, 43013, -17564282]$ |
\(y^2+xy=x^3-x^2+43013x-17564282\) |
212.2.0.? |
$[]$ |
137853.t1 |
137853s1 |
137853.t |
137853s |
$1$ |
$1$ |
\( 3^{2} \cdot 17^{2} \cdot 53 \) |
\( - 3^{6} \cdot 17^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$20.10153443$ |
$1$ |
|
$0$ |
$141120$ |
$0.977365$ |
$3375/53$ |
$0.83211$ |
$2.95577$ |
$[1, -1, 0, 813, -45802]$ |
\(y^2+xy=x^3-x^2+813x-45802\) |
212.2.0.? |
$[(270607262/3077, -36202191670/3077)]$ |
143312.bg1 |
143312y1 |
143312.bg |
143312y |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 53 \) |
\( - 2^{12} \cdot 13^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$287232$ |
$0.987074$ |
$3375/53$ |
$0.83211$ |
$2.95592$ |
$[0, 0, 0, 845, -48334]$ |
\(y^2=x^3+845x-48334\) |
212.2.0.? |
$[]$ |
160325.i1 |
160325i1 |
160325.i |
160325i |
$1$ |
$1$ |
\( 5^{2} \cdot 11^{2} \cdot 53 \) |
\( - 5^{6} \cdot 11^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$3.732745393$ |
$1$ |
|
$0$ |
$414720$ |
$1.015120$ |
$3375/53$ |
$0.83211$ |
$2.95633$ |
$[1, -1, 1, 945, -57428]$ |
\(y^2+xy+y=x^3-x^2+945x-57428\) |
212.2.0.? |
$[(1219/6, 20435/6)]$ |
166208.c1 |
166208cd1 |
166208.c |
166208cd |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{18} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$2.074051499$ |
$1$ |
|
$2$ |
$294912$ |
$1.024128$ |
$3375/53$ |
$0.83211$ |
$2.95646$ |
$[0, 0, 0, 980, -60368]$ |
\(y^2=x^3+980x-60368\) |
212.2.0.? |
$[(84, 784)]$ |
166208.eb1 |
166208cb1 |
166208.eb |
166208cb |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{18} \cdot 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.024128$ |
$3375/53$ |
$0.83211$ |
$2.95646$ |
$[0, 0, 0, 980, 60368]$ |
\(y^2=x^3+980x+60368\) |
212.2.0.? |
$[]$ |
172197.e1 |
172197d1 |
172197.e |
172197d |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 53 \) |
\( - 3^{6} \cdot 19^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$4.144161581$ |
$1$ |
|
$2$ |
$189000$ |
$1.032978$ |
$3375/53$ |
$0.83211$ |
$2.95659$ |
$[1, -1, 1, 1015, 63406]$ |
\(y^2+xy+y=x^3-x^2+1015x+63406\) |
212.2.0.? |
$[(-28, 125)]$ |
179776.b1 |
179776s1 |
179776.b |
179776s |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{18} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$0.889892430$ |
$1$ |
|
$2$ |
$2875392$ |
$2.036320$ |
$3375/53$ |
$0.83211$ |
$3.94115$ |
$[0, 0, 0, 56180, 26202352]$ |
\(y^2=x^3+56180x+26202352\) |
212.2.0.? |
$[(424, 11236)]$ |
179776.bm1 |
179776r1 |
179776.bm |
179776r |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{18} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2875392$ |
$2.036320$ |
$3375/53$ |
$0.83211$ |
$3.94115$ |
$[0, 0, 0, 56180, -26202352]$ |
\(y^2=x^3+56180x-26202352\) |
212.2.0.? |
$[]$ |
184493.a1 |
184493a1 |
184493.a |
184493a |
$1$ |
$1$ |
\( 53 \cdot 59^{2} \) |
\( - 53 \cdot 59^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$8.656347070$ |
$1$ |
|
$6$ |
$417136$ |
$1.050220$ |
$3375/53$ |
$0.83211$ |
$2.95683$ |
$[1, -1, 0, 1088, -70871]$ |
\(y^2+xy=x^3-x^2+1088x-70871\) |
212.2.0.? |
$[(1136, 37723), (1063/2, 33747/2)]$ |
190800.m1 |
190800bo1 |
190800.m |
190800bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$2.246480222$ |
$1$ |
|
$2$ |
$258048$ |
$1.058624$ |
$3375/53$ |
$0.83211$ |
$2.95695$ |
$[0, 0, 0, 1125, 74250]$ |
\(y^2=x^3+1125x+74250\) |
212.2.0.? |
$[(55, 550)]$ |
197213.a1 |
197213a1 |
197213.a |
197213a |
$1$ |
$1$ |
\( 53 \cdot 61^{2} \) |
\( - 53 \cdot 61^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$453600$ |
$1.066889$ |
$3375/53$ |
$0.83211$ |
$2.95707$ |
$[1, -1, 0, 1163, 77734]$ |
\(y^2+xy=x^3-x^2+1163x+77734\) |
212.2.0.? |
$[]$ |
223925.k1 |
223925k1 |
223925.k |
223925k |
$1$ |
$1$ |
\( 5^{2} \cdot 13^{2} \cdot 53 \) |
\( - 5^{6} \cdot 13^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$646272$ |
$1.098646$ |
$3375/53$ |
$0.83211$ |
$2.95751$ |
$[1, -1, 1, 1320, 94072]$ |
\(y^2+xy+y=x^3-x^2+1320x+94072\) |
212.2.0.? |
$[]$ |
237917.c1 |
237917c1 |
237917.c |
237917c |
$1$ |
$1$ |
\( 53 \cdot 67^{2} \) |
\( - 53 \cdot 67^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$14.03430388$ |
$1$ |
|
$0$ |
$591360$ |
$1.113798$ |
$3375/53$ |
$0.83211$ |
$2.95772$ |
$[1, -1, 0, 1403, -103738]$ |
\(y^2+xy=x^3-x^2+1403x-103738\) |
212.2.0.? |
$[(763714/117, 566988670/117)]$ |
245072.b1 |
245072b1 |
245072.b |
245072b |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 53 \) |
\( - 2^{12} \cdot 17^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$1.121206$ |
$3375/53$ |
$0.83211$ |
$2.95782$ |
$[0, 0, 0, 1445, -108086]$ |
\(y^2=x^3+1445x-108086\) |
212.2.0.? |
$[]$ |