| 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 |
| 89.a1 |
89a1 |
89.a |
89a |
$1$ |
$1$ |
\( 89 \) |
\( -89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$356$ |
$2$ |
$0$ |
$0.112104881$ |
$1$ |
|
$6$ |
$2$ |
$-0.926876$ |
$-117649/89$ |
$0.86393$ |
$2.78737$ |
$[1, 1, 1, -1, 0]$ |
\(y^2+xy+y=x^3+x^2-x\) |
356.2.0.? |
$[(0, 0)]$ |
| 801.d1 |
801d1 |
801.d |
801d |
$1$ |
$1$ |
\( 3^{2} \cdot 89 \) |
\( - 3^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$2.037671580$ |
$1$ |
|
$2$ |
$60$ |
$-0.377570$ |
$-117649/89$ |
$0.86393$ |
$2.85725$ |
$[1, -1, 0, -9, -14]$ |
\(y^2+xy=x^3-x^2-9x-14\) |
356.2.0.? |
$[(6, 8)]$ |
| 1424.e1 |
1424b1 |
1424.e |
1424b |
$1$ |
$1$ |
\( 2^{4} \cdot 89 \) |
\( - 2^{12} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$128$ |
$-0.233728$ |
$-117649/89$ |
$0.86393$ |
$2.86856$ |
$[0, 1, 0, -16, -44]$ |
\(y^2=x^3+x^2-16x-44\) |
356.2.0.? |
$[]$ |
| 2225.b1 |
2225a1 |
2225.b |
2225a |
$1$ |
$1$ |
\( 5^{2} \cdot 89 \) |
\( - 5^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.778147007$ |
$1$ |
|
$2$ |
$280$ |
$-0.122157$ |
$-117649/89$ |
$0.86393$ |
$2.87617$ |
$[1, 0, 1, -26, 73]$ |
\(y^2+xy+y=x^3-26x+73\) |
356.2.0.? |
$[(1, 6)]$ |
| 4361.a1 |
4361c1 |
4361.a |
4361c |
$1$ |
$1$ |
\( 7^{2} \cdot 89 \) |
\( - 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$0.800163505$ |
$1$ |
|
$4$ |
$576$ |
$0.046079$ |
$-117649/89$ |
$0.86393$ |
$2.88611$ |
$[1, 0, 0, -50, -211]$ |
\(y^2+xy=x^3-50x-211\) |
356.2.0.? |
$[(11, 19)]$ |
| 5696.g1 |
5696j1 |
5696.g |
5696j |
$1$ |
$1$ |
\( 2^{6} \cdot 89 \) |
\( - 2^{18} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.112845$ |
$-117649/89$ |
$0.86393$ |
$2.88963$ |
$[0, -1, 0, -65, -287]$ |
\(y^2=x^3-x^2-65x-287\) |
356.2.0.? |
$[]$ |
| 5696.k1 |
5696a1 |
5696.k |
5696a |
$1$ |
$1$ |
\( 2^{6} \cdot 89 \) |
\( - 2^{18} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$0.555889558$ |
$1$ |
|
$4$ |
$1024$ |
$0.112845$ |
$-117649/89$ |
$0.86393$ |
$2.88963$ |
$[0, 1, 0, -65, 287]$ |
\(y^2=x^3+x^2-65x+287\) |
356.2.0.? |
$[(11, 32)]$ |
| 7921.a1 |
7921b1 |
7921.a |
7921b |
$1$ |
$1$ |
\( 89^{2} \) |
\( - 89^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$2.689027168$ |
$1$ |
|
$0$ |
$15840$ |
$1.317442$ |
$-117649/89$ |
$0.86393$ |
$4.39369$ |
$[1, 0, 0, -8086, 424429]$ |
\(y^2+xy=x^3-8086x+424429\) |
356.2.0.? |
$[(1045/3, 26156/3)]$ |
| 10769.d1 |
10769a1 |
10769.d |
10769a |
$1$ |
$1$ |
\( 11^{2} \cdot 89 \) |
\( - 11^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2800$ |
$0.272072$ |
$-117649/89$ |
$0.86393$ |
$2.89720$ |
$[1, 1, 0, -123, -854]$ |
\(y^2+xy=x^3+x^2-123x-854\) |
356.2.0.? |
$[]$ |
| 12816.i1 |
12816l1 |
12816.i |
12816l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.315578$ |
$-117649/89$ |
$0.86393$ |
$2.89909$ |
$[0, 0, 0, -147, 1042]$ |
\(y^2=x^3-147x+1042\) |
356.2.0.? |
$[]$ |
| 15041.h1 |
15041e1 |
15041.h |
15041e |
$1$ |
$1$ |
\( 13^{2} \cdot 89 \) |
\( - 13^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.355599$ |
$-117649/89$ |
$0.86393$ |
$2.90077$ |
$[1, 1, 0, -172, 1253]$ |
\(y^2+xy=x^3+x^2-172x+1253\) |
356.2.0.? |
$[]$ |
| 20025.d1 |
20025n1 |
20025.d |
20025n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 89 \) |
\( - 3^{6} \cdot 5^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$6.541777935$ |
$1$ |
|
$0$ |
$8400$ |
$0.427149$ |
$-117649/89$ |
$0.86393$ |
$2.90364$ |
$[1, -1, 1, -230, -1978]$ |
\(y^2+xy+y=x^3-x^2-230x-1978\) |
356.2.0.? |
$[(610/3, 13621/3)]$ |
| 25721.b1 |
25721c1 |
25721.b |
25721c |
$1$ |
$1$ |
\( 17^{2} \cdot 89 \) |
\( - 17^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$3.653066445$ |
$1$ |
|
$2$ |
$10080$ |
$0.489731$ |
$-117649/89$ |
$0.86393$ |
$2.90602$ |
$[1, 0, 0, -295, 2938]$ |
\(y^2+xy=x^3-295x+2938\) |
356.2.0.? |
$[(33, 155)]$ |
| 32129.c1 |
32129b1 |
32129.c |
32129b |
$1$ |
$1$ |
\( 19^{2} \cdot 89 \) |
\( - 19^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$8.943643390$ |
$1$ |
|
$2$ |
$13500$ |
$0.545343$ |
$-117649/89$ |
$0.86393$ |
$2.90803$ |
$[1, 0, 1, -369, -4167]$ |
\(y^2+xy+y=x^3-369x-4167\) |
356.2.0.? |
$[(7647, 664893)]$ |
| 35600.j1 |
35600t1 |
35600.j |
35600t |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 89 \) |
\( - 2^{12} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17920$ |
$0.570991$ |
$-117649/89$ |
$0.86393$ |
$2.90893$ |
$[0, -1, 0, -408, -4688]$ |
\(y^2=x^3-x^2-408x-4688\) |
356.2.0.? |
$[]$ |
| 39249.k1 |
39249f1 |
39249.k |
39249f |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 89 \) |
\( - 3^{6} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.254680457$ |
$1$ |
|
$2$ |
$17280$ |
$0.595386$ |
$-117649/89$ |
$0.86393$ |
$2.90977$ |
$[1, -1, 0, -450, 5697]$ |
\(y^2+xy=x^3-x^2-450x+5697\) |
356.2.0.? |
$[(16, 41)]$ |
| 47081.a1 |
47081b1 |
47081.a |
47081b |
$1$ |
$1$ |
\( 23^{2} \cdot 89 \) |
\( - 23^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$8.031680253$ |
$1$ |
|
$2$ |
$23188$ |
$0.640871$ |
$-117649/89$ |
$0.86393$ |
$2.91130$ |
$[1, 1, 1, -540, -7562]$ |
\(y^2+xy+y=x^3+x^2-540x-7562\) |
356.2.0.? |
$[(3062, 167935)]$ |
| 51264.k1 |
51264t1 |
51264.k |
51264t |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 89 \) |
\( - 2^{18} \cdot 3^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.737735102$ |
$1$ |
|
$4$ |
$30720$ |
$0.662151$ |
$-117649/89$ |
$0.86393$ |
$2.91199$ |
$[0, 0, 0, -588, -8336]$ |
\(y^2=x^3-588x-8336\) |
356.2.0.? |
$[(30, 32)]$ |
| 51264.o1 |
51264bj1 |
51264.o |
51264bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 89 \) |
\( - 2^{18} \cdot 3^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$0.662151$ |
$-117649/89$ |
$0.86393$ |
$2.91199$ |
$[0, 0, 0, -588, 8336]$ |
\(y^2=x^3-588x+8336\) |
356.2.0.? |
$[]$ |
| 69776.m1 |
69776z1 |
69776.m |
69776z |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 89 \) |
\( - 2^{12} \cdot 7^{6} \cdot 89 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.103227947$ |
$1$ |
|
$12$ |
$36864$ |
$0.739226$ |
$-117649/89$ |
$0.86393$ |
$2.91443$ |
$[0, -1, 0, -800, 13504]$ |
\(y^2=x^3-x^2-800x+13504\) |
356.2.0.? |
$[(26, 98), (-30, 98)]$ |
| 71289.f1 |
71289c1 |
71289.f |
71289c |
$1$ |
$1$ |
\( 3^{2} \cdot 89^{2} \) |
\( - 3^{6} \cdot 89^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$475200$ |
$1.866749$ |
$-117649/89$ |
$0.86393$ |
$4.11965$ |
$[1, -1, 0, -72774, -11459583]$ |
\(y^2+xy=x^3-x^2-72774x-11459583\) |
356.2.0.? |
$[]$ |
| 74849.f1 |
74849c1 |
74849.f |
74849c |
$1$ |
$1$ |
\( 29^{2} \cdot 89 \) |
\( - 29^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50400$ |
$0.756772$ |
$-117649/89$ |
$0.86393$ |
$2.91496$ |
$[1, 0, 1, -859, 14635]$ |
\(y^2+xy+y=x^3-859x+14635\) |
356.2.0.? |
$[]$ |
| 85529.a1 |
85529d1 |
85529.a |
85529d |
$1$ |
$1$ |
\( 31^{2} \cdot 89 \) |
\( - 31^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$4.143780951$ |
$1$ |
|
$2$ |
$56580$ |
$0.790118$ |
$-117649/89$ |
$0.86393$ |
$2.91596$ |
$[1, 0, 0, -981, -18046]$ |
\(y^2+xy=x^3-981x-18046\) |
356.2.0.? |
$[(43, 119)]$ |
| 96921.g1 |
96921w1 |
96921.g |
96921w |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 89 \) |
\( - 3^{6} \cdot 11^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84000$ |
$0.821378$ |
$-117649/89$ |
$0.86393$ |
$2.91688$ |
$[1, -1, 1, -1112, 21948]$ |
\(y^2+xy+y=x^3-x^2-1112x+21948\) |
356.2.0.? |
$[]$ |
| 109025.m1 |
109025k1 |
109025.m |
109025k |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 89 \) |
\( - 5^{6} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$3.626091129$ |
$1$ |
|
$0$ |
$80640$ |
$0.850799$ |
$-117649/89$ |
$0.86393$ |
$2.91772$ |
$[1, 1, 0, -1250, -26375]$ |
\(y^2+xy=x^3+x^2-1250x-26375\) |
356.2.0.? |
$[(171/2, 25/2)]$ |
| 121841.e1 |
121841c1 |
121841.e |
121841c |
$1$ |
$1$ |
\( 37^{2} \cdot 89 \) |
\( - 37^{6} \cdot 89 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$5.381607372$ |
$1$ |
|
$4$ |
$103680$ |
$0.878583$ |
$-117649/89$ |
$0.86393$ |
$2.91850$ |
$[1, 1, 0, -1397, 29962]$ |
\(y^2+xy=x^3+x^2-1397x+29962\) |
356.2.0.? |
$[(126, 1306), (-34, 216)]$ |
| 126736.c1 |
126736f1 |
126736.c |
126736f |
$1$ |
$1$ |
\( 2^{4} \cdot 89^{2} \) |
\( - 2^{12} \cdot 89^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1013760$ |
$2.010590$ |
$-117649/89$ |
$0.86393$ |
$4.06482$ |
$[0, -1, 0, -129376, -27163456]$ |
\(y^2=x^3-x^2-129376x-27163456\) |
356.2.0.? |
$[]$ |
| 135369.e1 |
135369c1 |
135369.e |
135369c |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 89 \) |
\( - 3^{6} \cdot 13^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$0.904905$ |
$-117649/89$ |
$0.86393$ |
$2.91923$ |
$[1, -1, 1, -1553, -35382]$ |
\(y^2+xy+y=x^3-x^2-1553x-35382\) |
356.2.0.? |
$[]$ |
| 142400.bj1 |
142400cl1 |
142400.bj |
142400cl |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 89 \) |
\( - 2^{18} \cdot 5^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.923860727$ |
$1$ |
|
$2$ |
$143360$ |
$0.917564$ |
$-117649/89$ |
$0.86393$ |
$2.91957$ |
$[0, -1, 0, -1633, 39137]$ |
\(y^2=x^3-x^2-1633x+39137\) |
356.2.0.? |
$[(-7, 224)]$ |
| 142400.ce1 |
142400bc1 |
142400.ce |
142400bc |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 89 \) |
\( - 2^{18} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143360$ |
$0.917564$ |
$-117649/89$ |
$0.86393$ |
$2.91957$ |
$[0, 1, 0, -1633, -39137]$ |
\(y^2=x^3+x^2-1633x-39137\) |
356.2.0.? |
$[]$ |
| 149609.a1 |
149609a1 |
149609.a |
149609a |
$1$ |
$1$ |
\( 41^{2} \cdot 89 \) |
\( - 41^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$0.929911$ |
$-117649/89$ |
$0.86393$ |
$2.91990$ |
$[1, 0, 0, -1716, 41417]$ |
\(y^2+xy=x^3-1716x+41417\) |
356.2.0.? |
$[]$ |
| 164561.b1 |
164561b1 |
164561.b |
164561b |
$1$ |
$1$ |
\( 43^{2} \cdot 89 \) |
\( - 43^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$38.34991685$ |
$1$ |
|
$0$ |
$158508$ |
$0.953725$ |
$-117649/89$ |
$0.86393$ |
$2.92054$ |
$[1, 0, 1, -1888, -48101]$ |
\(y^2+xy+y=x^3-1888x-48101\) |
356.2.0.? |
$[(42009486477263149/10813785, 8317904275888215641102498/10813785)]$ |
| 172304.k1 |
172304h1 |
172304.k |
172304h |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 89 \) |
\( - 2^{12} \cdot 11^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$0.971335466$ |
$1$ |
|
$4$ |
$179200$ |
$0.965219$ |
$-117649/89$ |
$0.86393$ |
$2.92084$ |
$[0, 1, 0, -1976, 50708]$ |
\(y^2=x^3+x^2-1976x+50708\) |
356.2.0.? |
$[(-4, 242)]$ |
| 196601.a1 |
196601a1 |
196601.a |
196601a |
$1$ |
$1$ |
\( 47^{2} \cdot 89 \) |
\( - 47^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$198720$ |
$0.998199$ |
$-117649/89$ |
$0.86393$ |
$2.92170$ |
$[1, 1, 1, -2255, -63546]$ |
\(y^2+xy+y=x^3+x^2-2255x-63546\) |
356.2.0.? |
$[]$ |
| 198025.c1 |
198025c1 |
198025.c |
198025c |
$1$ |
$1$ |
\( 5^{2} \cdot 89^{2} \) |
\( - 5^{6} \cdot 89^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$8.467638991$ |
$1$ |
|
$0$ |
$2217600$ |
$2.122162$ |
$-117649/89$ |
$0.86393$ |
$4.02586$ |
$[1, 1, 0, -202150, 53053625]$ |
\(y^2+xy=x^3+x^2-202150x+53053625\) |
356.2.0.? |
$[(-137936/25, 147446837/25)]$ |
| 231489.j1 |
231489j1 |
231489.j |
231489j |
$1$ |
$1$ |
\( 3^{2} \cdot 17^{2} \cdot 89 \) |
\( - 3^{6} \cdot 17^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$30.25473402$ |
$1$ |
|
$0$ |
$302400$ |
$1.039038$ |
$-117649/89$ |
$0.86393$ |
$2.92273$ |
$[1, -1, 0, -2655, -79326]$ |
\(y^2+xy=x^3-x^2-2655x-79326\) |
356.2.0.? |
$[(13123777467106/143987, 46404860597445000606/143987)]$ |
| 240656.s1 |
240656s1 |
240656.s |
240656s |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 89 \) |
\( - 2^{12} \cdot 13^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$3.900528895$ |
$1$ |
|
$2$ |
$294912$ |
$1.048746$ |
$-117649/89$ |
$0.86393$ |
$2.92298$ |
$[0, 1, 0, -2760, -85708]$ |
\(y^2=x^3+x^2-2760x-85708\) |
356.2.0.? |
$[(1252, 44278)]$ |
| 250001.h1 |
250001h1 |
250001.h |
250001h |
$1$ |
$1$ |
\( 53^{2} \cdot 89 \) |
\( - 53^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$9.560212352$ |
$1$ |
|
$0$ |
$302328$ |
$1.058270$ |
$-117649/89$ |
$0.86393$ |
$2.92321$ |
$[1, 0, 1, -2868, 89535]$ |
\(y^2+xy+y=x^3-2868x+89535\) |
356.2.0.? |
$[(2389/15, 809258/15)]$ |
| 269225.c1 |
269225c1 |
269225.c |
269225c |
$1$ |
$1$ |
\( 5^{2} \cdot 11^{2} \cdot 89 \) |
\( - 5^{6} \cdot 11^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$392000$ |
$1.076792$ |
$-117649/89$ |
$0.86393$ |
$2.92367$ |
$[1, 0, 0, -3088, -100583]$ |
\(y^2+xy=x^3-3088x-100583\) |
356.2.0.? |
$[]$ |
| 279104.bb1 |
279104bb1 |
279104.bb |
279104bb |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 89 \) |
\( - 2^{18} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1.169984715$ |
$1$ |
|
$4$ |
$294912$ |
$1.085800$ |
$-117649/89$ |
$0.86393$ |
$2.92389$ |
$[0, -1, 0, -3201, -104831]$ |
\(y^2=x^3-x^2-3201x-104831\) |
356.2.0.? |
$[(145, 1568)]$ |
| 279104.bo1 |
279104bo1 |
279104.bo |
279104bo |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 89 \) |
\( - 2^{18} \cdot 7^{6} \cdot 89 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$2.626402944$ |
$1$ |
|
$6$ |
$294912$ |
$1.085800$ |
$-117649/89$ |
$0.86393$ |
$2.92389$ |
$[0, 1, 0, -3201, 104831]$ |
\(y^2=x^3+x^2-3201x+104831\) |
356.2.0.? |
$[(37, 196), (-47, 392)]$ |
| 289161.e1 |
289161e1 |
289161.e |
289161e |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 89 \) |
\( - 3^{6} \cdot 19^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$4.176853068$ |
$1$ |
|
$2$ |
$405000$ |
$1.094650$ |
$-117649/89$ |
$0.86393$ |
$2.92410$ |
$[1, -1, 1, -3317, 112502]$ |
\(y^2+xy+y=x^3-x^2-3317x+112502\) |
356.2.0.? |
$[(40, 186)]$ |
| 309809.b1 |
309809b1 |
309809.b |
309809b |
$1$ |
$1$ |
\( 59^{2} \cdot 89 \) |
\( - 59^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$2.292379231$ |
$1$ |
|
$0$ |
$415744$ |
$1.111893$ |
$-117649/89$ |
$0.86393$ |
$2.92452$ |
$[1, 1, 0, -3553, -125326]$ |
\(y^2+xy=x^3+x^2-3553x-125326\) |
356.2.0.? |
$[(431/2, 6531/2)]$ |
| 320400.j1 |
320400j1 |
320400.j |
320400j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$537600$ |
$1.120296$ |
$-117649/89$ |
$0.86393$ |
$2.92472$ |
$[0, 0, 0, -3675, 130250]$ |
\(y^2=x^3-3675x+130250\) |
356.2.0.? |
$[]$ |
| 331169.b1 |
331169b1 |
331169.b |
331169b |
$1$ |
$1$ |
\( 61^{2} \cdot 89 \) |
\( - 61^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$456960$ |
$1.128561$ |
$-117649/89$ |
$0.86393$ |
$2.92491$ |
$[1, 1, 0, -3798, 135289]$ |
\(y^2+xy=x^3+x^2-3798x+135289\) |
356.2.0.? |
$[]$ |
| 376025.c1 |
376025c1 |
376025.c |
376025c |
$1$ |
$1$ |
\( 5^{2} \cdot 13^{2} \cdot 89 \) |
\( - 5^{6} \cdot 13^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$1.160318$ |
$-117649/89$ |
$0.86393$ |
$2.92565$ |
$[1, 0, 0, -4313, 165242]$ |
\(y^2+xy=x^3-4313x+165242\) |
356.2.0.? |
$[]$ |
| 388129.b1 |
388129b1 |
388129.b |
388129b |
$1$ |
$1$ |
\( 7^{2} \cdot 89^{2} \) |
\( - 7^{6} \cdot 89^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$5.097208141$ |
$1$ |
|
$2$ |
$4561920$ |
$2.290398$ |
$-117649/89$ |
$0.86393$ |
$3.97221$ |
$[1, 1, 1, -396215, -145975362]$ |
\(y^2+xy+y=x^3+x^2-396215x-145975362\) |
356.2.0.? |
$[(5347, 385455), (12661/4, 362775/4)]$ |
| 399521.c1 |
399521c1 |
399521.c |
399521c |
$1$ |
$1$ |
\( 67^{2} \cdot 89 \) |
\( - 67^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$591360$ |
$1.175470$ |
$-117649/89$ |
$0.86393$ |
$2.92600$ |
$[1, 0, 1, -4583, -181745]$ |
\(y^2+xy+y=x^3-4583x-181745\) |
356.2.0.? |
$[]$ |
| 411536.e1 |
411536e1 |
411536.e |
411536e |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 89 \) |
\( - 2^{12} \cdot 17^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$1.182878$ |
$-117649/89$ |
$0.86393$ |
$2.92617$ |
$[0, -1, 0, -4720, -188032]$ |
\(y^2=x^3-x^2-4720x-188032\) |
356.2.0.? |
$[]$ |
| 423729.d1 |
423729d1 |
423729.d |
423729d |
$1$ |
$1$ |
\( 3^{2} \cdot 23^{2} \cdot 89 \) |
\( - 3^{6} \cdot 23^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$356$ |
$2$ |
$0$ |
$16.99543428$ |
$1$ |
|
$0$ |
$695640$ |
$1.190178$ |
$-117649/89$ |
$0.86393$ |
$2.92634$ |
$[1, -1, 0, -4860, 199309]$ |
\(y^2+xy=x^3-x^2-4860x+199309\) |
356.2.0.? |
$[(21562108/333, 91116249677/333)]$ |
