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 |
43.a1 |
43a1 |
43.a |
43a |
$1$ |
$1$ |
\( 43 \) |
\( -43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.062816507$ |
$1$ |
|
$10$ |
$2$ |
$-1.004431$ |
$-4096/43$ |
$0.78068$ |
$2.99627$ |
$[0, 1, 1, 0, 0]$ |
\(y^2+y=x^3+x^2\) |
86.2.0.? |
$[(0, 0)]$ |
387.e1 |
387e1 |
387.e |
387e |
$1$ |
$1$ |
\( 3^{2} \cdot 43 \) |
\( - 3^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$-0.455124$ |
$-4096/43$ |
$0.78068$ |
$2.99765$ |
$[0, 0, 1, -3, -9]$ |
\(y^2+y=x^3-3x-9\) |
86.2.0.? |
$[]$ |
688.b1 |
688c1 |
688.b |
688c |
$1$ |
$1$ |
\( 2^{4} \cdot 43 \) |
\( - 2^{12} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.733978804$ |
$1$ |
|
$2$ |
$80$ |
$-0.311283$ |
$-4096/43$ |
$0.78068$ |
$2.99785$ |
$[0, -1, 0, -5, -19]$ |
\(y^2=x^3-x^2-5x-19\) |
86.2.0.? |
$[(4, 3)]$ |
1075.h1 |
1075d1 |
1075.h |
1075d |
$1$ |
$1$ |
\( 5^{2} \cdot 43 \) |
\( - 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$160$ |
$-0.199712$ |
$-4096/43$ |
$0.78068$ |
$2.99799$ |
$[0, -1, 1, -8, 43]$ |
\(y^2+y=x^3-x^2-8x+43\) |
86.2.0.? |
$[]$ |
1849.d1 |
1849d1 |
1849.d |
1849d |
$1$ |
$1$ |
\( 43^{2} \) |
\( - 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3696$ |
$0.876169$ |
$-4096/43$ |
$0.78068$ |
$4.49814$ |
$[0, -1, 1, -616, -25561]$ |
\(y^2+y=x^3-x^2-616x-25561\) |
86.2.0.? |
$[]$ |
2107.a1 |
2107a1 |
2107.a |
2107a |
$1$ |
$1$ |
\( 7^{2} \cdot 43 \) |
\( - 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$-0.031475$ |
$-4096/43$ |
$0.78068$ |
$2.99817$ |
$[0, -1, 1, -16, -106]$ |
\(y^2+y=x^3-x^2-16x-106\) |
86.2.0.? |
$[]$ |
2752.b1 |
2752d1 |
2752.b |
2752d |
$1$ |
$1$ |
\( 2^{6} \cdot 43 \) |
\( - 2^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$160$ |
$-0.657857$ |
$-4096/43$ |
$0.78068$ |
$1.94802$ |
$[0, 1, 0, -1, -3]$ |
\(y^2=x^3+x^2-x-3\) |
86.2.0.? |
$[]$ |
2752.f1 |
2752c1 |
2752.f |
2752c |
$1$ |
$1$ |
\( 2^{6} \cdot 43 \) |
\( - 2^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$160$ |
$-0.657857$ |
$-4096/43$ |
$0.78068$ |
$1.94802$ |
$[0, -1, 0, -1, 3]$ |
\(y^2=x^3-x^2-x+3\) |
86.2.0.? |
$[]$ |
5203.a1 |
5203b1 |
5203.a |
5203b |
$1$ |
$1$ |
\( 11^{2} \cdot 43 \) |
\( - 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$4.992742216$ |
$1$ |
|
$0$ |
$2700$ |
$0.194517$ |
$-4096/43$ |
$0.78068$ |
$2.99836$ |
$[0, 1, 1, -40, -445]$ |
\(y^2+y=x^3+x^2-40x-445\) |
86.2.0.? |
$[(125/2, 1377/2)]$ |
6192.ba1 |
6192ba1 |
6192.ba |
6192ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.238023$ |
$-4096/43$ |
$0.78068$ |
$2.99839$ |
$[0, 0, 0, -48, 560]$ |
\(y^2=x^3-48x+560\) |
86.2.0.? |
$[]$ |
7267.a1 |
7267a1 |
7267.a |
7267a |
$1$ |
$1$ |
\( 13^{2} \cdot 43 \) |
\( - 13^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$4.605850878$ |
$1$ |
|
$0$ |
$4104$ |
$0.278044$ |
$-4096/43$ |
$0.78068$ |
$2.99842$ |
$[0, 1, 1, -56, 693]$ |
\(y^2+y=x^3+x^2-56x+693\) |
86.2.0.? |
$[(77/2, 671/2)]$ |
9675.b1 |
9675q1 |
9675.b |
9675q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.766783904$ |
$1$ |
|
$4$ |
$3840$ |
$0.349595$ |
$-4096/43$ |
$0.78068$ |
$2.99847$ |
$[0, 0, 1, -75, -1094]$ |
\(y^2+y=x^3-75x-1094\) |
86.2.0.? |
$[(25, 112)]$ |
12427.a1 |
12427b1 |
12427.a |
12427b |
$1$ |
$1$ |
\( 17^{2} \cdot 43 \) |
\( - 17^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.115373519$ |
$1$ |
|
$2$ |
$10080$ |
$0.412176$ |
$-4096/43$ |
$0.78068$ |
$2.99851$ |
$[0, -1, 1, -96, 1624]$ |
\(y^2+y=x^3-x^2-96x+1624\) |
86.2.0.? |
$[(-13, 22)]$ |
15523.c1 |
15523a1 |
15523.c |
15523a |
$1$ |
$1$ |
\( 19^{2} \cdot 43 \) |
\( - 19^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14256$ |
$0.467789$ |
$-4096/43$ |
$0.78068$ |
$2.99855$ |
$[0, -1, 1, -120, -2183]$ |
\(y^2+y=x^3-x^2-120x-2183\) |
86.2.0.? |
$[]$ |
16641.a1 |
16641l1 |
16641.a |
16641l |
$1$ |
$1$ |
\( 3^{2} \cdot 43^{2} \) |
\( - 3^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.320082999$ |
$1$ |
|
$6$ |
$88704$ |
$1.425476$ |
$-4096/43$ |
$0.78068$ |
$4.15947$ |
$[0, 0, 1, -5547, 695686]$ |
\(y^2+y=x^3-5547x+695686\) |
86.2.0.? |
$[(-43, 924)]$ |
17200.i1 |
17200o1 |
17200.i |
17200o |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6400$ |
$0.493436$ |
$-4096/43$ |
$0.78068$ |
$2.99856$ |
$[0, 1, 0, -133, -2637]$ |
\(y^2=x^3+x^2-133x-2637\) |
86.2.0.? |
$[]$ |
18963.m1 |
18963i1 |
18963.m |
18963i |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 43 \) |
\( - 3^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.526258254$ |
$1$ |
|
$0$ |
$18432$ |
$0.517831$ |
$-4096/43$ |
$0.78068$ |
$2.99858$ |
$[0, 0, 1, -147, 3001]$ |
\(y^2+y=x^3-147x+3001\) |
86.2.0.? |
$[(49/2, 437/2)]$ |
22747.a1 |
22747d1 |
22747.a |
22747d |
$1$ |
$1$ |
\( 23^{2} \cdot 43 \) |
\( - 23^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.680259326$ |
$1$ |
|
$2$ |
$25300$ |
$0.563316$ |
$-4096/43$ |
$0.78068$ |
$2.99860$ |
$[0, 1, 1, -176, -4002]$ |
\(y^2+y=x^3+x^2-176x-4002\) |
86.2.0.? |
$[(28, 117)]$ |
24768.b1 |
24768ch1 |
24768.b |
24768ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( - 2^{6} \cdot 3^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.811912780$ |
$1$ |
|
$2$ |
$3840$ |
$-0.108551$ |
$-4096/43$ |
$0.78068$ |
$2.17648$ |
$[0, 0, 0, -12, 70]$ |
\(y^2=x^3-12x+70\) |
86.2.0.? |
$[(-1, 9)]$ |
24768.c1 |
24768bj1 |
24768.c |
24768bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 43 \) |
\( - 2^{6} \cdot 3^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.985907271$ |
$1$ |
|
$2$ |
$3840$ |
$-0.108551$ |
$-4096/43$ |
$0.78068$ |
$2.17648$ |
$[0, 0, 0, -12, -70]$ |
\(y^2=x^3-12x-70\) |
86.2.0.? |
$[(19, 81)]$ |
29584.d1 |
29584n1 |
29584.d |
29584n |
$1$ |
$1$ |
\( 2^{4} \cdot 43^{2} \) |
\( - 2^{12} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$5.237346556$ |
$1$ |
|
$2$ |
$147840$ |
$1.569317$ |
$-4096/43$ |
$0.78068$ |
$4.09467$ |
$[0, 1, 0, -9861, 1645747]$ |
\(y^2=x^3+x^2-9861x+1645747\) |
86.2.0.? |
$[(78, 1165)]$ |
33712.e1 |
33712r1 |
33712.e |
33712r |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 43 \) |
\( - 2^{12} \cdot 7^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$0.661672$ |
$-4096/43$ |
$0.78068$ |
$2.99866$ |
$[0, 1, 0, -261, 7027]$ |
\(y^2=x^3+x^2-261x+7027\) |
86.2.0.? |
$[]$ |
36163.a1 |
36163a1 |
36163.a |
36163a |
$1$ |
$1$ |
\( 29^{2} \cdot 43 \) |
\( - 29^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.679217$ |
$-4096/43$ |
$0.78068$ |
$2.99866$ |
$[0, -1, 1, -280, 7997]$ |
\(y^2+y=x^3-x^2-280x+7997\) |
86.2.0.? |
$[]$ |
41323.a1 |
41323c1 |
41323.a |
41323c |
$1$ |
$1$ |
\( 31^{2} \cdot 43 \) |
\( - 31^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$5.981697337$ |
$1$ |
|
$2$ |
$61380$ |
$0.712564$ |
$-4096/43$ |
$0.78068$ |
$2.99868$ |
$[0, -1, 1, -320, -9548]$ |
\(y^2+y=x^3-x^2-320x-9548\) |
86.2.0.? |
$[(382, 7447)]$ |
46225.a1 |
46225j1 |
46225.a |
46225j |
$1$ |
$1$ |
\( 5^{2} \cdot 43^{2} \) |
\( - 5^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$1.680889$ |
$-4096/43$ |
$0.78068$ |
$4.04918$ |
$[0, 1, 1, -15408, -3225906]$ |
\(y^2+y=x^3+x^2-15408x-3225906\) |
86.2.0.? |
$[]$ |
46827.f1 |
46827v1 |
46827.f |
46827v |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 43 \) |
\( - 3^{6} \cdot 11^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64800$ |
$0.743823$ |
$-4096/43$ |
$0.78068$ |
$2.99870$ |
$[0, 0, 1, -363, 11646]$ |
\(y^2+y=x^3-363x+11646\) |
86.2.0.? |
$[]$ |
52675.p1 |
52675k1 |
52675.p |
52675k |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 43 \) |
\( - 5^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.968737132$ |
$1$ |
|
$0$ |
$61440$ |
$0.773244$ |
$-4096/43$ |
$0.78068$ |
$2.99871$ |
$[0, 1, 1, -408, -14031]$ |
\(y^2+y=x^3+x^2-408x-14031\) |
86.2.0.? |
$[(1213/6, 23167/6)]$ |
58867.a1 |
58867b1 |
58867.a |
58867b |
$1$ |
$1$ |
\( 37^{2} \cdot 43 \) |
\( - 37^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$103968$ |
$0.801028$ |
$-4096/43$ |
$0.78068$ |
$2.99872$ |
$[0, 1, 1, -456, 16263]$ |
\(y^2+y=x^3+x^2-456x+16263\) |
86.2.0.? |
$[]$ |
65403.a1 |
65403l1 |
65403.a |
65403l |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 43 \) |
\( - 3^{6} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98496$ |
$0.827351$ |
$-4096/43$ |
$0.78068$ |
$2.99874$ |
$[0, 0, 1, -507, -19224]$ |
\(y^2+y=x^3-507x-19224\) |
86.2.0.? |
$[]$ |
68800.bb1 |
68800n1 |
68800.bb |
68800n |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 43 \) |
\( - 2^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.969934855$ |
$1$ |
|
$2$ |
$12800$ |
$0.146862$ |
$-4096/43$ |
$0.78068$ |
$2.25201$ |
$[0, 1, 0, -33, 313]$ |
\(y^2=x^3+x^2-33x+313\) |
86.2.0.? |
$[(8, 25)]$ |
68800.dk1 |
68800dk1 |
68800.dk |
68800dk |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 43 \) |
\( - 2^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$5.462521780$ |
$1$ |
|
$0$ |
$12800$ |
$0.146862$ |
$-4096/43$ |
$0.78068$ |
$2.25201$ |
$[0, -1, 0, -33, -313]$ |
\(y^2=x^3-x^2-33x-313\) |
86.2.0.? |
$[(802/9, 11125/9)]$ |
72283.a1 |
72283b1 |
72283.a |
72283b |
$1$ |
$1$ |
\( 41^{2} \cdot 43 \) |
\( - 41^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.769938418$ |
$1$ |
|
$2$ |
$139120$ |
$0.852356$ |
$-4096/43$ |
$0.78068$ |
$2.99875$ |
$[0, -1, 1, -560, 22522]$ |
\(y^2+y=x^3-x^2-560x+22522\) |
86.2.0.? |
$[(10, 133)]$ |
83248.w1 |
83248bh1 |
83248.w |
83248bh |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 43 \) |
\( - 2^{12} \cdot 11^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$9.003904584$ |
$1$ |
|
$0$ |
$108000$ |
$0.887665$ |
$-4096/43$ |
$0.78068$ |
$2.99876$ |
$[0, -1, 0, -645, 27821]$ |
\(y^2=x^3-x^2-645x+27821\) |
86.2.0.? |
$[(-244/13, 372501/13)]$ |
90601.e1 |
90601e1 |
90601.e |
90601e |
$1$ |
$1$ |
\( 7^{2} \cdot 43^{2} \) |
\( - 7^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.689789326$ |
$1$ |
|
$0$ |
$1419264$ |
$1.849125$ |
$-4096/43$ |
$0.78068$ |
$3.98733$ |
$[0, 1, 1, -30200, 8827725]$ |
\(y^2+y=x^3+x^2-30200x+8827725\) |
86.2.0.? |
$[(-1019/2, 1845/2)]$ |
94987.a1 |
94987b1 |
94987.a |
94987b |
$1$ |
$1$ |
\( 43 \cdot 47^{2} \) |
\( - 43 \cdot 47^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.965130198$ |
$1$ |
|
$2$ |
$210496$ |
$0.920643$ |
$-4096/43$ |
$0.78068$ |
$2.99878$ |
$[0, 1, 1, -736, -33892]$ |
\(y^2+y=x^3+x^2-736x-33892\) |
86.2.0.? |
$[(313, 5522)]$ |
111843.j1 |
111843i1 |
111843.j |
111843i |
$1$ |
$1$ |
\( 3^{2} \cdot 17^{2} \cdot 43 \) |
\( - 3^{6} \cdot 17^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$0.961482$ |
$-4096/43$ |
$0.78068$ |
$2.99879$ |
$[0, 0, 1, -867, -42989]$ |
\(y^2+y=x^3-867x-42989\) |
86.2.0.? |
$[]$ |
116272.w1 |
116272q1 |
116272.w |
116272q |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 43 \) |
\( - 2^{12} \cdot 13^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$39.07899627$ |
$1$ |
|
$0$ |
$164160$ |
$0.971191$ |
$-4096/43$ |
$0.78068$ |
$2.99880$ |
$[0, -1, 0, -901, -45267]$ |
\(y^2=x^3-x^2-901x-45267\) |
86.2.0.? |
$[(83770953307482828/20226293, 23859297904275188235469965/20226293)]$ |
118336.c1 |
118336q1 |
118336.c |
118336q |
$1$ |
$1$ |
\( 2^{6} \cdot 43^{2} \) |
\( - 2^{6} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$1.222744$ |
$-4096/43$ |
$0.78068$ |
$3.25270$ |
$[0, 1, 0, -2465, -206951]$ |
\(y^2=x^3+x^2-2465x-206951\) |
86.2.0.? |
$[]$ |
118336.bh1 |
118336bl1 |
118336.bh |
118336bl |
$1$ |
$1$ |
\( 2^{6} \cdot 43^{2} \) |
\( - 2^{6} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.393312613$ |
$1$ |
|
$0$ |
$295680$ |
$1.222744$ |
$-4096/43$ |
$0.78068$ |
$3.25270$ |
$[0, -1, 0, -2465, 206951]$ |
\(y^2=x^3-x^2-2465x+206951\) |
86.2.0.? |
$[(829/6, 86903/6)]$ |
120787.a1 |
120787a1 |
120787.a |
120787a |
$1$ |
$1$ |
\( 43 \cdot 53^{2} \) |
\( - 43 \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$36.69557852$ |
$1$ |
|
$0$ |
$300664$ |
$0.980716$ |
$-4096/43$ |
$0.78068$ |
$2.99880$ |
$[0, -1, 1, -936, 48559]$ |
\(y^2+y=x^3-x^2-936x+48559\) |
86.2.0.? |
$[(-4505311876533067/11245042, 266866061251861631239111/11245042)]$ |
130075.f1 |
130075f1 |
130075.f |
130075f |
$1$ |
$1$ |
\( 5^{2} \cdot 11^{2} \cdot 43 \) |
\( - 5^{6} \cdot 11^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$216000$ |
$0.999236$ |
$-4096/43$ |
$0.78068$ |
$2.99881$ |
$[0, -1, 1, -1008, -53582]$ |
\(y^2+y=x^3-x^2-1008x-53582\) |
86.2.0.? |
$[]$ |
134848.d1 |
134848x1 |
134848.d |
134848x |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 43 \) |
\( - 2^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.200075940$ |
$1$ |
|
$2$ |
$61440$ |
$0.315098$ |
$-4096/43$ |
$0.78068$ |
$2.29463$ |
$[0, 1, 0, -65, -911]$ |
\(y^2=x^3+x^2-65x-911\) |
86.2.0.? |
$[(16, 49)]$ |
134848.bq1 |
134848p1 |
134848.bq |
134848p |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 43 \) |
\( - 2^{6} \cdot 7^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.520721380$ |
$1$ |
|
$2$ |
$61440$ |
$0.315098$ |
$-4096/43$ |
$0.78068$ |
$2.29463$ |
$[0, -1, 0, -65, 911]$ |
\(y^2=x^3-x^2-65x+911\) |
86.2.0.? |
$[(82, 735)]$ |
139707.d1 |
139707d1 |
139707.d |
139707d |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 43 \) |
\( - 3^{6} \cdot 19^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.830378060$ |
$1$ |
|
$2$ |
$342144$ |
$1.017096$ |
$-4096/43$ |
$0.78068$ |
$2.99882$ |
$[0, 0, 1, -1083, 60016]$ |
\(y^2+y=x^3-1083x+60016\) |
86.2.0.? |
$[(95, 902)]$ |
149683.g1 |
149683g1 |
149683.g |
149683g |
$1$ |
$1$ |
\( 43 \cdot 59^{2} \) |
\( - 43 \cdot 59^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.076391273$ |
$1$ |
|
$0$ |
$400896$ |
$1.034338$ |
$-4096/43$ |
$0.78068$ |
$2.99882$ |
$[0, 1, 1, -1160, -66945]$ |
\(y^2+y=x^3+x^2-1160x-66945\) |
86.2.0.? |
$[(801/4, 3449/4)]$ |
154800.dv1 |
154800cp1 |
154800.dv |
154800cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.040348873$ |
$1$ |
|
$0$ |
$153600$ |
$1.042742$ |
$-4096/43$ |
$0.78068$ |
$2.99883$ |
$[0, 0, 0, -1200, 70000]$ |
\(y^2=x^3-1200x+70000\) |
86.2.0.? |
$[(-175/2, 1575/2)]$ |
160003.d1 |
160003d1 |
160003.d |
160003d |
$1$ |
$1$ |
\( 43 \cdot 61^{2} \) |
\( - 43 \cdot 61^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$1.051006$ |
$-4096/43$ |
$0.78068$ |
$2.99883$ |
$[0, 1, 1, -1240, 73145]$ |
\(y^2+y=x^3+x^2-1240x+73145\) |
86.2.0.? |
$[]$ |
181675.f1 |
181675f1 |
181675.f |
181675f |
$1$ |
$1$ |
\( 5^{2} \cdot 13^{2} \cdot 43 \) |
\( - 5^{6} \cdot 13^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$328320$ |
$1.082764$ |
$-4096/43$ |
$0.78068$ |
$2.99884$ |
$[0, -1, 1, -1408, 89468]$ |
\(y^2+y=x^3-x^2-1408x+89468\) |
86.2.0.? |
$[]$ |
193027.b1 |
193027b1 |
193027.b |
193027b |
$1$ |
$1$ |
\( 43 \cdot 67^{2} \) |
\( - 43 \cdot 67^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$90.70578423$ |
$1$ |
|
$0$ |
$609180$ |
$1.097916$ |
$-4096/43$ |
$0.78068$ |
$2.99885$ |
$[0, -1, 1, -1496, -96971]$ |
\(y^2+y=x^3-x^2-1496x-96971\) |
86.2.0.? |
$[(2321937445170585681846580081328013117253/2196599809121339618, 111353140022720426197164190565766774438450795621187314727049/2196599809121339618)]$ |
198832.e1 |
198832c1 |
198832.e |
198832c |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 43 \) |
\( - 2^{12} \cdot 17^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$21.55829530$ |
$1$ |
|
$0$ |
$403200$ |
$1.105324$ |
$-4096/43$ |
$0.78068$ |
$2.99885$ |
$[0, 1, 0, -1541, -102413]$ |
\(y^2=x^3+x^2-1541x-102413\) |
86.2.0.? |
$[(1513594838/4811, 31641460345035/4811)]$ |