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 |
83.a1 |
83a1 |
83.a |
83a |
$1$ |
$1$ |
\( 83 \) |
\( -83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$166$ |
$2$ |
$0$ |
$0.177292294$ |
$1$ |
|
$6$ |
$2$ |
$-0.943868$ |
$103823/83$ |
$0.77332$ |
$2.61391$ |
$[1, 1, 1, 1, 0]$ |
\(y^2+xy+y=x^3+x^2+x\) |
166.2.0.? |
$[(0, 0)]$ |
747.d1 |
747d1 |
747.d |
747d |
$1$ |
$1$ |
\( 3^{2} \cdot 83 \) |
\( - 3^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1.197053470$ |
$1$ |
|
$2$ |
$60$ |
$-0.394561$ |
$103823/83$ |
$0.77332$ |
$2.74213$ |
$[1, -1, 0, 9, 4]$ |
\(y^2+xy=x^3-x^2+9x+4\) |
166.2.0.? |
$[(0, 2)]$ |
1328.c1 |
1328e1 |
1328.c |
1328e |
$1$ |
$1$ |
\( 2^{4} \cdot 83 \) |
\( - 2^{12} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$0.365372093$ |
$1$ |
|
$4$ |
$128$ |
$-0.250720$ |
$103823/83$ |
$0.77332$ |
$2.76276$ |
$[0, 1, 0, 16, 20]$ |
\(y^2=x^3+x^2+16x+20\) |
166.2.0.? |
$[(2, 8)]$ |
2075.d1 |
2075a1 |
2075.d |
2075a |
$1$ |
$1$ |
\( 5^{2} \cdot 83 \) |
\( - 5^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$-0.139148$ |
$103823/83$ |
$0.77332$ |
$2.77662$ |
$[1, 0, 1, 24, -27]$ |
\(y^2+xy+y=x^3+24x-27\) |
166.2.0.? |
$[]$ |
4067.a1 |
4067c1 |
4067.a |
4067c |
$1$ |
$1$ |
\( 7^{2} \cdot 83 \) |
\( - 7^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$2.125349628$ |
$1$ |
|
$2$ |
$660$ |
$0.029088$ |
$103823/83$ |
$0.77332$ |
$2.79471$ |
$[1, 0, 0, 48, 83]$ |
\(y^2+xy=x^3+48x+83\) |
166.2.0.? |
$[(1, 11)]$ |
5312.h1 |
5312i1 |
5312.h |
5312i |
$1$ |
$1$ |
\( 2^{6} \cdot 83 \) |
\( - 2^{18} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.095853$ |
$103823/83$ |
$0.77332$ |
$2.80110$ |
$[0, -1, 0, 63, 97]$ |
\(y^2=x^3-x^2+63x+97\) |
166.2.0.? |
$[]$ |
5312.l1 |
5312e1 |
5312.l |
5312e |
$1$ |
$1$ |
\( 2^{6} \cdot 83 \) |
\( - 2^{18} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.095853$ |
$103823/83$ |
$0.77332$ |
$2.80110$ |
$[0, 1, 0, 63, -97]$ |
\(y^2=x^3+x^2+63x-97\) |
166.2.0.? |
$[]$ |
6889.a1 |
6889a1 |
6889.a |
6889a |
$1$ |
$1$ |
\( 83^{2} \) |
\( - 83^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13776$ |
$1.265553$ |
$103823/83$ |
$0.77332$ |
$4.30695$ |
$[1, 1, 0, 6746, 134507]$ |
\(y^2+xy=x^3+x^2+6746x+134507\) |
166.2.0.? |
$[]$ |
10043.b1 |
10043c1 |
10043.b |
10043c |
$1$ |
$1$ |
\( 11^{2} \cdot 83 \) |
\( - 11^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$3.315607398$ |
$1$ |
|
$2$ |
$2700$ |
$0.255080$ |
$103823/83$ |
$0.77332$ |
$2.81485$ |
$[1, 1, 0, 119, 356]$ |
\(y^2+xy=x^3+x^2+119x+356\) |
166.2.0.? |
$[(20, 96)]$ |
11952.o1 |
11952o1 |
11952.o |
11952o |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 83 \) |
\( - 2^{12} \cdot 3^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1.470769828$ |
$1$ |
|
$2$ |
$3840$ |
$0.298586$ |
$103823/83$ |
$0.77332$ |
$2.81828$ |
$[0, 0, 0, 141, -398]$ |
\(y^2=x^3+141x-398\) |
166.2.0.? |
$[(9, 40)]$ |
14027.a1 |
14027a1 |
14027.a |
14027a |
$1$ |
$1$ |
\( 13^{2} \cdot 83 \) |
\( - 13^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.338607$ |
$103823/83$ |
$0.77332$ |
$2.82133$ |
$[1, 1, 0, 166, -437]$ |
\(y^2+xy=x^3+x^2+166x-437\) |
166.2.0.? |
$[]$ |
18675.i1 |
18675j1 |
18675.i |
18675j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 83 \) |
\( - 3^{6} \cdot 5^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.410158$ |
$103823/83$ |
$0.77332$ |
$2.82653$ |
$[1, -1, 1, 220, 722]$ |
\(y^2+xy+y=x^3-x^2+220x+722\) |
166.2.0.? |
$[]$ |
23987.a1 |
23987b1 |
23987.a |
23987b |
$1$ |
$1$ |
\( 17^{2} \cdot 83 \) |
\( - 17^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$5.449782584$ |
$1$ |
|
$0$ |
$9568$ |
$0.472739$ |
$103823/83$ |
$0.77332$ |
$2.83083$ |
$[1, 0, 0, 283, -1108]$ |
\(y^2+xy=x^3+283x-1108\) |
166.2.0.? |
$[(127/3, 1856/3)]$ |
29963.c1 |
29963c1 |
29963.c |
29963c |
$1$ |
$1$ |
\( 19^{2} \cdot 83 \) |
\( - 19^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14256$ |
$0.528352$ |
$103823/83$ |
$0.77332$ |
$2.83449$ |
$[1, 0, 1, 353, 1609]$ |
\(y^2+xy+y=x^3+353x+1609\) |
166.2.0.? |
$[]$ |
33200.i1 |
33200x1 |
33200.i |
33200x |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 83 \) |
\( - 2^{12} \cdot 5^{6} \cdot 83 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$0.953562361$ |
$1$ |
|
$12$ |
$16384$ |
$0.553999$ |
$103823/83$ |
$0.77332$ |
$2.83612$ |
$[0, -1, 0, 392, 1712]$ |
\(y^2=x^3-x^2+392x+1712\) |
166.2.0.? |
$[(2, 50), (52, 400)]$ |
36603.n1 |
36603n1 |
36603.n |
36603n |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 83 \) |
\( - 3^{6} \cdot 7^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$7.505871995$ |
$1$ |
|
$0$ |
$19800$ |
$0.578394$ |
$103823/83$ |
$0.77332$ |
$2.83764$ |
$[1, -1, 0, 432, -2241]$ |
\(y^2+xy=x^3-x^2+432x-2241\) |
166.2.0.? |
$[(418/9, 5617/9)]$ |
43907.a1 |
43907b1 |
43907.a |
43907b |
$1$ |
$1$ |
\( 23^{2} \cdot 83 \) |
\( - 23^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$0.812928504$ |
$1$ |
|
$4$ |
$24640$ |
$0.623879$ |
$103823/83$ |
$0.77332$ |
$2.84040$ |
$[1, 1, 1, 518, 3018]$ |
\(y^2+xy+y=x^3+x^2+518x+3018\) |
166.2.0.? |
$[(36, 246)]$ |
47808.m1 |
47808o1 |
47808.m |
47808o |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 83 \) |
\( - 2^{18} \cdot 3^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$0.645160$ |
$103823/83$ |
$0.77332$ |
$2.84166$ |
$[0, 0, 0, 564, 3184]$ |
\(y^2=x^3+564x+3184\) |
166.2.0.? |
$[]$ |
47808.v1 |
47808bz1 |
47808.v |
47808bz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 83 \) |
\( - 2^{18} \cdot 3^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$0.645160$ |
$103823/83$ |
$0.77332$ |
$2.84166$ |
$[0, 0, 0, 564, -3184]$ |
\(y^2=x^3+564x-3184\) |
166.2.0.? |
$[]$ |
62001.c1 |
62001k1 |
62001.c |
62001k |
$1$ |
$1$ |
\( 3^{2} \cdot 83^{2} \) |
\( - 3^{6} \cdot 83^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$5.248831995$ |
$1$ |
|
$0$ |
$413280$ |
$1.814859$ |
$103823/83$ |
$0.77332$ |
$4.04672$ |
$[1, -1, 1, 60709, -3570978]$ |
\(y^2+xy+y=x^3-x^2+60709x-3570978\) |
166.2.0.? |
$[(6756/7, 909642/7)]$ |
65072.j1 |
65072s1 |
65072.j |
65072s |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 83 \) |
\( - 2^{12} \cdot 7^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$2.208317600$ |
$1$ |
|
$2$ |
$42240$ |
$0.722235$ |
$103823/83$ |
$0.77332$ |
$2.84607$ |
$[0, -1, 0, 768, -5312]$ |
\(y^2=x^3-x^2+768x-5312\) |
166.2.0.? |
$[(16, 104)]$ |
69803.a1 |
69803a1 |
69803.a |
69803a |
$1$ |
$1$ |
\( 29^{2} \cdot 83 \) |
\( - 29^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$3.565290364$ |
$1$ |
|
$2$ |
$47656$ |
$0.739780$ |
$103823/83$ |
$0.77332$ |
$2.84704$ |
$[1, 0, 1, 823, -5549]$ |
\(y^2+xy+y=x^3+823x-5549\) |
166.2.0.? |
$[(13, 79)]$ |
79763.c1 |
79763d1 |
79763.c |
79763d |
$1$ |
$1$ |
\( 31^{2} \cdot 83 \) |
\( - 31^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$3.936097337$ |
$1$ |
|
$2$ |
$59940$ |
$0.773127$ |
$103823/83$ |
$0.77332$ |
$2.84884$ |
$[1, 0, 0, 941, 6940]$ |
\(y^2+xy=x^3+941x+6940\) |
166.2.0.? |
$[(27, 215)]$ |
90387.g1 |
90387n1 |
90387.g |
90387n |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 83 \) |
\( - 3^{6} \cdot 11^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$10.92320619$ |
$1$ |
|
$0$ |
$81000$ |
$0.804386$ |
$103823/83$ |
$0.77332$ |
$2.85050$ |
$[1, -1, 1, 1066, -8544]$ |
\(y^2+xy+y=x^3-x^2+1066x-8544\) |
166.2.0.? |
$[(31222/33, 7088848/33)]$ |
101675.y1 |
101675f1 |
101675.y |
101675f |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 83 \) |
\( - 5^{6} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84480$ |
$0.833807$ |
$103823/83$ |
$0.77332$ |
$2.85203$ |
$[1, 1, 0, 1200, 10375]$ |
\(y^2+xy=x^3+x^2+1200x+10375\) |
166.2.0.? |
$[]$ |
110224.k1 |
110224k1 |
110224.k |
110224k |
$1$ |
$1$ |
\( 2^{4} \cdot 83^{2} \) |
\( - 2^{12} \cdot 83^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$7.724505002$ |
$1$ |
|
$0$ |
$881664$ |
$1.958700$ |
$103823/83$ |
$0.77332$ |
$3.99485$ |
$[0, 1, 0, 107928, -8392588]$ |
\(y^2=x^3+x^2+107928x-8392588\) |
166.2.0.? |
$[(2206/5, 168904/5)]$ |
113627.d1 |
113627a1 |
113627.d |
113627a |
$1$ |
$1$ |
\( 37^{2} \cdot 83 \) |
\( - 37^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$11.80433508$ |
$1$ |
|
$0$ |
$95256$ |
$0.861591$ |
$103823/83$ |
$0.77332$ |
$2.85344$ |
$[1, 1, 0, 1341, -11108]$ |
\(y^2+xy=x^3+x^2+1341x-11108\) |
166.2.0.? |
$[(90424/43, 31261170/43)]$ |
126243.d1 |
126243l1 |
126243.d |
126243l |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 83 \) |
\( - 3^{6} \cdot 13^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$0.887914$ |
$103823/83$ |
$0.77332$ |
$2.85475$ |
$[1, -1, 1, 1489, 13290]$ |
\(y^2+xy+y=x^3-x^2+1489x+13290\) |
166.2.0.? |
$[]$ |
132800.bi1 |
132800ct1 |
132800.bi |
132800ct |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 83 \) |
\( - 2^{18} \cdot 5^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1.978021476$ |
$1$ |
|
$2$ |
$131072$ |
$0.900573$ |
$103823/83$ |
$0.77332$ |
$2.85538$ |
$[0, -1, 0, 1567, -15263]$ |
\(y^2=x^3-x^2+1567x-15263\) |
166.2.0.? |
$[(47, 400)]$ |
132800.cn1 |
132800bk1 |
132800.cn |
132800bk |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 83 \) |
\( - 2^{18} \cdot 5^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$2.095733442$ |
$1$ |
|
$2$ |
$131072$ |
$0.900573$ |
$103823/83$ |
$0.77332$ |
$2.85538$ |
$[0, 1, 0, 1567, 15263]$ |
\(y^2=x^3+x^2+1567x+15263\) |
166.2.0.? |
$[(53, 500)]$ |
139523.a1 |
139523a1 |
139523.a |
139523a |
$1$ |
$1$ |
\( 41^{2} \cdot 83 \) |
\( - 41^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1.778518129$ |
$1$ |
|
$2$ |
$140800$ |
$0.912919$ |
$103823/83$ |
$0.77332$ |
$2.85598$ |
$[1, 0, 0, 1646, -15737]$ |
\(y^2+xy=x^3+1646x-15737\) |
166.2.0.? |
$[(222, 3251)]$ |
153467.b1 |
153467b1 |
153467.b |
153467b |
$1$ |
$1$ |
\( 43^{2} \cdot 83 \) |
\( - 43^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$157248$ |
$0.936732$ |
$103823/83$ |
$0.77332$ |
$2.85713$ |
$[1, 0, 1, 1810, 18463]$ |
\(y^2+xy+y=x^3+1810x+18463\) |
166.2.0.? |
$[]$ |
160688.l1 |
160688h1 |
160688.l |
160688h |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 83 \) |
\( - 2^{12} \cdot 11^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$2.629568362$ |
$1$ |
|
$2$ |
$172800$ |
$0.948228$ |
$103823/83$ |
$0.77332$ |
$2.85768$ |
$[0, 1, 0, 1896, -18988]$ |
\(y^2=x^3+x^2+1896x-18988\) |
166.2.0.? |
$[(22, 184)]$ |
172225.c1 |
172225c1 |
172225.c |
172225c |
$1$ |
$1$ |
\( 5^{2} \cdot 83^{2} \) |
\( - 5^{6} \cdot 83^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1763328$ |
$2.070271$ |
$103823/83$ |
$0.77332$ |
$3.95802$ |
$[1, 0, 0, 168637, 16476092]$ |
\(y^2+xy=x^3+168637x+16476092\) |
166.2.0.? |
$[]$ |
183347.a1 |
183347a1 |
183347.a |
183347a |
$1$ |
$1$ |
\( 47^{2} \cdot 83 \) |
\( - 47^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211968$ |
$0.981207$ |
$103823/83$ |
$0.77332$ |
$2.85922$ |
$[1, 1, 1, 2163, 24814]$ |
\(y^2+xy+y=x^3+x^2+2163x+24814\) |
166.2.0.? |
$[]$ |
215883.h1 |
215883g1 |
215883.h |
215883g |
$1$ |
$1$ |
\( 3^{2} \cdot 17^{2} \cdot 83 \) |
\( - 3^{6} \cdot 17^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$11.78118230$ |
$1$ |
|
$0$ |
$287040$ |
$1.022045$ |
$103823/83$ |
$0.77332$ |
$2.86110$ |
$[1, -1, 0, 2547, 29916]$ |
\(y^2+xy=x^3-x^2+2547x+29916\) |
166.2.0.? |
$[(-24356/49, 6995276/49)]$ |
224432.m1 |
224432j1 |
224432.m |
224432j |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 83 \) |
\( - 2^{12} \cdot 13^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$245760$ |
$1.031755$ |
$103823/83$ |
$0.77332$ |
$2.86153$ |
$[0, 1, 0, 2648, 33268]$ |
\(y^2=x^3+x^2+2648x+33268\) |
166.2.0.? |
$[]$ |
233147.a1 |
233147a1 |
233147.a |
233147a |
$1$ |
$1$ |
\( 53^{2} \cdot 83 \) |
\( - 53^{6} \cdot 83 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$21.40091937$ |
$1$ |
|
$2$ |
$299520$ |
$1.041279$ |
$103823/83$ |
$0.77332$ |
$2.86196$ |
$[1, 0, 1, 2750, -34061]$ |
\(y^2+xy+y=x^3+2750x-34061\) |
166.2.0.? |
$[(923, 27628), (82759/18, 23544485/18)]$ |
251075.e1 |
251075e1 |
251075.e |
251075e |
$1$ |
$1$ |
\( 5^{2} \cdot 11^{2} \cdot 83 \) |
\( - 5^{6} \cdot 11^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.059799$ |
$103823/83$ |
$0.77332$ |
$2.86278$ |
$[1, 0, 0, 2962, 38567]$ |
\(y^2+xy=x^3+2962x+38567\) |
166.2.0.? |
$[]$ |
260288.l1 |
260288l1 |
260288.l |
260288l |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 83 \) |
\( - 2^{18} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$337920$ |
$1.068808$ |
$103823/83$ |
$0.77332$ |
$2.86318$ |
$[0, -1, 0, 3071, 39425]$ |
\(y^2=x^3-x^2+3071x+39425\) |
166.2.0.? |
$[]$ |
260288.bq1 |
260288bq1 |
260288.bq |
260288bq |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 83 \) |
\( - 2^{18} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$337920$ |
$1.068808$ |
$103823/83$ |
$0.77332$ |
$2.86318$ |
$[0, 1, 0, 3071, -39425]$ |
\(y^2=x^3+x^2+3071x-39425\) |
166.2.0.? |
$[]$ |
269667.d1 |
269667d1 |
269667.d |
269667d |
$1$ |
$1$ |
\( 3^{2} \cdot 19^{2} \cdot 83 \) |
\( - 3^{6} \cdot 19^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$427680$ |
$1.077658$ |
$103823/83$ |
$0.77332$ |
$2.86357$ |
$[1, -1, 1, 3181, -43450]$ |
\(y^2+xy+y=x^3-x^2+3181x-43450\) |
166.2.0.? |
$[]$ |
288923.a1 |
288923a1 |
288923.a |
288923a |
$1$ |
$1$ |
\( 59^{2} \cdot 83 \) |
\( - 59^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$9.086592151$ |
$1$ |
|
$0$ |
$414700$ |
$1.094902$ |
$103823/83$ |
$0.77332$ |
$2.86432$ |
$[1, 1, 0, 3409, 48724]$ |
\(y^2+xy=x^3+x^2+3409x+48724\) |
166.2.0.? |
$[(8560/3, 781166/3)]$ |
298800.bg1 |
298800bg1 |
298800.bg |
298800bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 83 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$1.103306$ |
$103823/83$ |
$0.77332$ |
$2.86468$ |
$[0, 0, 0, 3525, -49750]$ |
\(y^2=x^3+3525x-49750\) |
166.2.0.? |
$[]$ |
308843.a1 |
308843a1 |
308843.a |
308843a |
$1$ |
$1$ |
\( 61^{2} \cdot 83 \) |
\( - 61^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$8.412971603$ |
$1$ |
|
$0$ |
$458280$ |
$1.111570$ |
$103823/83$ |
$0.77332$ |
$2.86503$ |
$[1, 1, 0, 3644, -50761]$ |
\(y^2+xy=x^3+x^2+3644x-50761\) |
166.2.0.? |
$[(2426/7, 164403/7)]$ |
337561.d1 |
337561d1 |
337561.d |
337561d |
$1$ |
$1$ |
\( 7^{2} \cdot 83^{2} \) |
\( - 7^{6} \cdot 83^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$13.26159387$ |
$1$ |
|
$0$ |
$4546080$ |
$2.238506$ |
$103823/83$ |
$0.77332$ |
$3.90738$ |
$[1, 0, 1, 330528, -45144291]$ |
\(y^2+xy+y=x^3+330528x-45144291\) |
166.2.0.? |
$[(35702019/187, 237527420096/187)]$ |
350675.k1 |
350675k1 |
350675.k |
350675k |
$1$ |
$1$ |
\( 5^{2} \cdot 13^{2} \cdot 83 \) |
\( - 5^{6} \cdot 13^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1.090231411$ |
$1$ |
|
$4$ |
$491520$ |
$1.143326$ |
$103823/83$ |
$0.77332$ |
$2.86637$ |
$[1, 0, 0, 4137, -62908]$ |
\(y^2+xy=x^3+4137x-62908\) |
166.2.0.? |
$[(157, 2034)]$ |
372587.b1 |
372587b1 |
372587.b |
372587b |
$1$ |
$1$ |
\( 67^{2} \cdot 83 \) |
\( - 67^{6} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$609840$ |
$1.158480$ |
$103823/83$ |
$0.77332$ |
$2.86701$ |
$[1, 0, 1, 4395, 69639]$ |
\(y^2+xy+y=x^3+4395x+69639\) |
166.2.0.? |
$[]$ |
383792.i1 |
383792i1 |
383792.i |
383792i |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 83 \) |
\( - 2^{12} \cdot 17^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$2.996884195$ |
$1$ |
|
$2$ |
$612352$ |
$1.165886$ |
$103823/83$ |
$0.77332$ |
$2.86731$ |
$[0, -1, 0, 4528, 70912]$ |
\(y^2=x^3-x^2+4528x+70912\) |
166.2.0.? |
$[(8, 328)]$ |
395163.m1 |
395163m1 |
395163.m |
395163m |
$1$ |
$1$ |
\( 3^{2} \cdot 23^{2} \cdot 83 \) |
\( - 3^{6} \cdot 23^{6} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$166$ |
$2$ |
$0$ |
$6.100152928$ |
$1$ |
|
$0$ |
$739200$ |
$1.173185$ |
$103823/83$ |
$0.77332$ |
$2.86761$ |
$[1, -1, 0, 4662, -76829]$ |
\(y^2+xy=x^3-x^2+4662x-76829\) |
166.2.0.? |
$[(5499/10, 558637/10)]$ |