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 |
106.b1 |
106d1 |
106.b |
106d |
$1$ |
$1$ |
\( 2 \cdot 53 \) |
\( - 2^{5} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$-0.446259$ |
$-2305199161/1696$ |
$0.90862$ |
$4.62313$ |
$[1, 1, 0, -27, -67]$ |
\(y^2+xy=x^3+x^2-27x-67\) |
424.2.0.? |
$[]$ |
848.a1 |
848g1 |
848.a |
848g |
$1$ |
$1$ |
\( 2^{4} \cdot 53 \) |
\( - 2^{17} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$0.200486711$ |
$1$ |
|
$6$ |
$240$ |
$0.246888$ |
$-2305199161/1696$ |
$0.90862$ |
$4.43097$ |
$[0, 1, 0, -440, 3412]$ |
\(y^2=x^3+x^2-440x+3412\) |
424.2.0.? |
$[(6, 32)]$ |
954.i1 |
954i1 |
954.i |
954i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$0.113433202$ |
$1$ |
|
$8$ |
$240$ |
$0.103047$ |
$-2305199161/1696$ |
$0.90862$ |
$4.10330$ |
$[1, -1, 1, -248, 1563]$ |
\(y^2+xy+y=x^3-x^2-248x+1563\) |
424.2.0.? |
$[(11, 3)]$ |
2650.f1 |
2650i1 |
2650.f |
2650i |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 53 \) |
\( - 2^{5} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1400$ |
$0.358460$ |
$-2305199161/1696$ |
$0.90862$ |
$3.96030$ |
$[1, 0, 0, -688, -7008]$ |
\(y^2+xy=x^3-688x-7008\) |
424.2.0.? |
$[]$ |
3392.e1 |
3392d1 |
3392.e |
3392d |
$1$ |
$1$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{23} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.379145458$ |
$1$ |
|
$4$ |
$1920$ |
$0.593462$ |
$-2305199161/1696$ |
$0.90862$ |
$4.18694$ |
$[0, 1, 0, -1761, -29057]$ |
\(y^2=x^3+x^2-1761x-29057\) |
424.2.0.? |
$[(51, 128)]$ |
3392.r1 |
3392m1 |
3392.r |
3392m |
$1$ |
$1$ |
\( 2^{6} \cdot 53 \) |
\( - 2^{23} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.593462$ |
$-2305199161/1696$ |
$0.90862$ |
$4.18694$ |
$[0, -1, 0, -1761, 29057]$ |
\(y^2=x^3-x^2-1761x+29057\) |
424.2.0.? |
$[]$ |
5194.c1 |
5194i1 |
5194.c |
5194i |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 53 \) |
\( - 2^{5} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$0.549886206$ |
$1$ |
|
$4$ |
$3600$ |
$0.526696$ |
$-2305199161/1696$ |
$0.90862$ |
$3.88476$ |
$[1, 0, 1, -1349, 18960]$ |
\(y^2+xy+y=x^3-1349x+18960\) |
424.2.0.? |
$[(18, 15)]$ |
5618.f1 |
5618g1 |
5618.f |
5618g |
$1$ |
$1$ |
\( 2 \cdot 53^{2} \) |
\( - 2^{5} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28080$ |
$1.538887$ |
$-2305199161/1696$ |
$0.90862$ |
$5.25630$ |
$[1, 0, 0, -77306, -8284796]$ |
\(y^2+xy=x^3-77306x-8284796\) |
424.2.0.? |
$[]$ |
7632.g1 |
7632g1 |
7632.g |
7632g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 53 \) |
\( - 2^{17} \cdot 3^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$3.605051010$ |
$1$ |
|
$2$ |
$5760$ |
$0.796194$ |
$-2305199161/1696$ |
$0.90862$ |
$4.07927$ |
$[0, 0, 0, -3963, -96086]$ |
\(y^2=x^3-3963x-96086\) |
424.2.0.? |
$[(74, 126)]$ |
12826.j1 |
12826j1 |
12826.j |
12826j |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 53 \) |
\( - 2^{5} \cdot 11^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11900$ |
$0.752688$ |
$-2305199161/1696$ |
$0.90862$ |
$3.80021$ |
$[1, 1, 1, -3330, 72623]$ |
\(y^2+xy+y=x^3+x^2-3330x+72623\) |
424.2.0.? |
$[]$ |
17914.j1 |
17914j1 |
17914.j |
17914j |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 53 \) |
\( - 2^{5} \cdot 13^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$3.530547240$ |
$1$ |
|
$2$ |
$21600$ |
$0.836216$ |
$-2305199161/1696$ |
$0.90862$ |
$3.77291$ |
$[1, 1, 1, -4651, -124103]$ |
\(y^2+xy+y=x^3+x^2-4651x-124103\) |
424.2.0.? |
$[(733, 19406)]$ |
21200.v1 |
21200k1 |
21200.v |
21200k |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 53 \) |
\( - 2^{17} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33600$ |
$1.051607$ |
$-2305199161/1696$ |
$0.90862$ |
$3.96859$ |
$[0, -1, 0, -11008, 448512]$ |
\(y^2=x^3-x^2-11008x+448512\) |
424.2.0.? |
$[]$ |
23850.ba1 |
23850bc1 |
23850.ba |
23850bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.702417054$ |
$1$ |
|
$2$ |
$33600$ |
$0.907766$ |
$-2305199161/1696$ |
$0.90862$ |
$3.75097$ |
$[1, -1, 0, -6192, 189216]$ |
\(y^2+xy=x^3-x^2-6192x+189216\) |
424.2.0.? |
$[(45, -9)]$ |
30528.bj1 |
30528s1 |
30528.bj |
30528s |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{23} \cdot 3^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.686222385$ |
$1$ |
|
$2$ |
$46080$ |
$1.142769$ |
$-2305199161/1696$ |
$0.90862$ |
$3.93438$ |
$[0, 0, 0, -15852, 768688]$ |
\(y^2=x^3-15852x+768688\) |
424.2.0.? |
$[(68, 72)]$ |
30528.bk1 |
30528bs1 |
30528.bk |
30528bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 53 \) |
\( - 2^{23} \cdot 3^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.142769$ |
$-2305199161/1696$ |
$0.90862$ |
$3.93438$ |
$[0, 0, 0, -15852, -768688]$ |
\(y^2=x^3-15852x-768688\) |
424.2.0.? |
$[]$ |
30634.a1 |
30634c1 |
30634.a |
30634c |
$1$ |
$1$ |
\( 2 \cdot 17^{2} \cdot 53 \) |
\( - 2^{5} \cdot 17^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50400$ |
$0.970347$ |
$-2305199161/1696$ |
$0.90862$ |
$3.73277$ |
$[1, 0, 1, -7954, -273852]$ |
\(y^2+xy+y=x^3-7954x-273852\) |
424.2.0.? |
$[]$ |
38266.g1 |
38266j1 |
38266.g |
38266j |
$1$ |
$1$ |
\( 2 \cdot 19^{2} \cdot 53 \) |
\( - 2^{5} \cdot 19^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$0.654501620$ |
$1$ |
|
$4$ |
$69120$ |
$1.025961$ |
$-2305199161/1696$ |
$0.90862$ |
$3.71732$ |
$[1, 0, 0, -9935, 380569]$ |
\(y^2+xy=x^3-9935x+380569\) |
424.2.0.? |
$[(106, 669)]$ |
41552.bn1 |
41552br1 |
41552.bn |
41552br |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 53 \) |
\( - 2^{17} \cdot 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.219843$ |
$-2305199161/1696$ |
$0.90862$ |
$3.90730$ |
$[0, -1, 0, -21576, -1213456]$ |
\(y^2=x^3-x^2-21576x-1213456\) |
424.2.0.? |
$[]$ |
44944.l1 |
44944e1 |
44944.l |
44944e |
$1$ |
$1$ |
\( 2^{4} \cdot 53^{2} \) |
\( - 2^{17} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$673920$ |
$2.232033$ |
$-2305199161/1696$ |
$0.90862$ |
$5.01245$ |
$[0, -1, 0, -1236896, 530226944]$ |
\(y^2=x^3-x^2-1236896x+530226944\) |
424.2.0.? |
$[]$ |
46746.bm1 |
46746be1 |
46746.bm |
46746be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.076002$ |
$-2305199161/1696$ |
$0.90862$ |
$3.70397$ |
$[1, -1, 1, -12137, -511927]$ |
\(y^2+xy+y=x^3-x^2-12137x-511927\) |
424.2.0.? |
$[]$ |
50562.p1 |
50562g1 |
50562.p |
50562g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 53^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 53^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$2.336265176$ |
$1$ |
|
$8$ |
$673920$ |
$2.088192$ |
$-2305199161/1696$ |
$0.90862$ |
$4.79857$ |
$[1, -1, 0, -695754, 223689492]$ |
\(y^2+xy=x^3-x^2-695754x+223689492\) |
424.2.0.? |
$[(93, 12594), (26953/13, 23565069/13)]$ |
56074.b1 |
56074b1 |
56074.b |
56074b |
$1$ |
$1$ |
\( 2 \cdot 23^{2} \cdot 53 \) |
\( - 2^{5} \cdot 23^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124740$ |
$1.121489$ |
$-2305199161/1696$ |
$0.90862$ |
$3.69225$ |
$[1, 1, 0, -14558, 670484]$ |
\(y^2+xy=x^3+x^2-14558x+670484\) |
424.2.0.? |
$[]$ |
84800.g1 |
84800cg1 |
84800.g |
84800cg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{23} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.001754715$ |
$1$ |
|
$4$ |
$268800$ |
$1.398180$ |
$-2305199161/1696$ |
$0.90862$ |
$3.85026$ |
$[0, 1, 0, -44033, 3544063]$ |
\(y^2=x^3+x^2-44033x+3544063\) |
424.2.0.? |
$[(127, 128)]$ |
84800.cl1 |
84800v1 |
84800.cl |
84800v |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 53 \) |
\( - 2^{23} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$268800$ |
$1.398180$ |
$-2305199161/1696$ |
$0.90862$ |
$3.85026$ |
$[0, -1, 0, -44033, -3544063]$ |
\(y^2=x^3-x^2-44033x-3544063\) |
424.2.0.? |
$[]$ |
89146.d1 |
89146g1 |
89146.d |
89146g |
$1$ |
$1$ |
\( 2 \cdot 29^{2} \cdot 53 \) |
\( - 2^{5} \cdot 29^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$2.233753589$ |
$1$ |
|
$2$ |
$241920$ |
$1.237389$ |
$-2305199161/1696$ |
$0.90862$ |
$3.66410$ |
$[1, 0, 0, -23145, -1358087]$ |
\(y^2+xy=x^3-23145x-1358087\) |
424.2.0.? |
$[(534, 11507)]$ |
101866.c1 |
101866d1 |
101866.c |
101866d |
$1$ |
$1$ |
\( 2 \cdot 31^{2} \cdot 53 \) |
\( - 2^{5} \cdot 31^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$292500$ |
$1.270735$ |
$-2305199161/1696$ |
$0.90862$ |
$3.65641$ |
$[1, 0, 1, -26448, 1654334]$ |
\(y^2+xy+y=x^3-26448x+1654334\) |
424.2.0.? |
$[]$ |
102608.f1 |
102608bb1 |
102608.f |
102608bb |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 53 \) |
\( - 2^{17} \cdot 11^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$285600$ |
$1.445835$ |
$-2305199161/1696$ |
$0.90862$ |
$3.83622$ |
$[0, 1, 0, -53280, -4754444]$ |
\(y^2=x^3+x^2-53280x-4754444\) |
424.2.0.? |
$[]$ |
115434.m1 |
115434p1 |
115434.m |
115434p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 11^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$15.68617772$ |
$1$ |
|
$0$ |
$285600$ |
$1.301994$ |
$-2305199161/1696$ |
$0.90862$ |
$3.64937$ |
$[1, -1, 0, -29970, -1990796]$ |
\(y^2+xy=x^3-x^2-29970x-1990796\) |
424.2.0.? |
$[(18420041/103, 77681330618/103)]$ |
129850.df1 |
129850cg1 |
129850.df |
129850cg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$2.251201031$ |
$1$ |
|
$2$ |
$504000$ |
$1.331415$ |
$-2305199161/1696$ |
$0.90862$ |
$3.64288$ |
$[1, 1, 1, -33713, 2370031]$ |
\(y^2+xy+y=x^3+x^2-33713x+2370031\) |
424.2.0.? |
$[(41, 1008)]$ |
140450.n1 |
140450ba1 |
140450.n |
140450ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 53^{2} \) |
\( - 2^{5} \cdot 5^{6} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$37.65905899$ |
$1$ |
|
$0$ |
$3931200$ |
$2.343605$ |
$-2305199161/1696$ |
$0.90862$ |
$4.64354$ |
$[1, 1, 0, -1932650, -1035599500]$ |
\(y^2+xy=x^3+x^2-1932650x-1035599500\) |
424.2.0.? |
$[(2188930393629787129/36165405, 930868613562307541368877948/36165405)]$ |
143312.b1 |
143312b1 |
143312.b |
143312b |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 53 \) |
\( - 2^{17} \cdot 13^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.552895613$ |
$1$ |
|
$2$ |
$518400$ |
$1.529364$ |
$-2305199161/1696$ |
$0.90862$ |
$3.81268$ |
$[0, 1, 0, -74416, 7793748]$ |
\(y^2=x^3+x^2-74416x+7793748\) |
424.2.0.? |
$[(108, 1014)]$ |
145114.h1 |
145114d1 |
145114.h |
145114d |
$1$ |
$1$ |
\( 2 \cdot 37^{2} \cdot 53 \) |
\( - 2^{5} \cdot 37^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$9.619017532$ |
$1$ |
|
$0$ |
$506880$ |
$1.359200$ |
$-2305199161/1696$ |
$0.90862$ |
$3.63687$ |
$[1, 1, 1, -37676, -2832275]$ |
\(y^2+xy+y=x^3+x^2-37676x-2832275\) |
424.2.0.? |
$[(455539/30, 273864127/30)]$ |
161226.n1 |
161226bf1 |
161226.n |
161226bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 13^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.385521$ |
$-2305199161/1696$ |
$0.90862$ |
$3.63128$ |
$[1, -1, 0, -41859, 3308917]$ |
\(y^2+xy=x^3-x^2-41859x+3308917\) |
424.2.0.? |
$[]$ |
166208.u1 |
166208j1 |
166208.u |
166208j |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{23} \cdot 7^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$10.80269086$ |
$1$ |
|
$0$ |
$691200$ |
$1.566418$ |
$-2305199161/1696$ |
$0.90862$ |
$3.80266$ |
$[0, 1, 0, -86305, -9793953]$ |
\(y^2=x^3+x^2-86305x-9793953\) |
424.2.0.? |
$[(524801/31, 307053992/31)]$ |
166208.dq1 |
166208dv1 |
166208.dq |
166208dv |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 53 \) |
\( - 2^{23} \cdot 7^{6} \cdot 53 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$3.568871159$ |
$1$ |
|
$4$ |
$691200$ |
$1.566418$ |
$-2305199161/1696$ |
$0.90862$ |
$3.80266$ |
$[0, -1, 0, -86305, 9793953]$ |
\(y^2=x^3-x^2-86305x+9793953\) |
424.2.0.? |
$[(153, 384), (243, 1764)]$ |
178186.a1 |
178186f1 |
178186.a |
178186f |
$1$ |
$1$ |
\( 2 \cdot 41^{2} \cdot 53 \) |
\( - 2^{5} \cdot 41^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$10.96229832$ |
$1$ |
|
$0$ |
$704000$ |
$1.410526$ |
$-2305199161/1696$ |
$0.90862$ |
$3.62606$ |
$[1, 0, 1, -46263, -3836230]$ |
\(y^2+xy+y=x^3-46263x-3836230\) |
424.2.0.? |
$[(1945935/58, 2434853533/58)]$ |
179776.f1 |
179776c1 |
179776.f |
179776c |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{23} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5391360$ |
$2.578609$ |
$-2305199161/1696$ |
$0.90862$ |
$4.78187$ |
$[0, 1, 0, -4947585, 4236867967]$ |
\(y^2=x^3+x^2-4947585x+4236867967\) |
424.2.0.? |
$[]$ |
179776.bg1 |
179776bk1 |
179776.bg |
179776bk |
$1$ |
$1$ |
\( 2^{6} \cdot 53^{2} \) |
\( - 2^{23} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$24.60030006$ |
$1$ |
|
$0$ |
$5391360$ |
$2.578609$ |
$-2305199161/1696$ |
$0.90862$ |
$4.78187$ |
$[0, -1, 0, -4947585, -4236867967]$ |
\(y^2=x^3-x^2-4947585x-4236867967\) |
424.2.0.? |
$[(11981772463423/37719, 39846447284382900296/37719)]$ |
190800.cm1 |
190800ch1 |
190800.cm |
190800ch |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$806400$ |
$1.600914$ |
$-2305199161/1696$ |
$0.90862$ |
$3.79356$ |
$[0, 0, 0, -99075, -12010750]$ |
\(y^2=x^3-99075x-12010750\) |
424.2.0.? |
$[]$ |
195994.g1 |
195994a1 |
195994.g |
195994a |
$1$ |
$1$ |
\( 2 \cdot 43^{2} \cdot 53 \) |
\( - 2^{5} \cdot 43^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$792540$ |
$1.434341$ |
$-2305199161/1696$ |
$0.90862$ |
$3.62116$ |
$[1, 0, 0, -50886, 4416772]$ |
\(y^2+xy=x^3-50886x+4416772\) |
424.2.0.? |
$[]$ |
234154.e1 |
234154e1 |
234154.e |
234154e |
$1$ |
$1$ |
\( 2 \cdot 47^{2} \cdot 53 \) |
\( - 2^{5} \cdot 47^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$4.385544908$ |
$1$ |
|
$0$ |
$1052480$ |
$1.478815$ |
$-2305199161/1696$ |
$0.90862$ |
$3.61222$ |
$[1, 1, 0, -60793, 5747781]$ |
\(y^2+xy=x^3+x^2-60793x+5747781\) |
424.2.0.? |
$[(-555/4, 180039/4)]$ |
245072.v1 |
245072v1 |
245072.v |
245072v |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 53 \) |
\( - 2^{17} \cdot 17^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$4.312681496$ |
$1$ |
|
$0$ |
$1209600$ |
$1.663494$ |
$-2305199161/1696$ |
$0.90862$ |
$3.77755$ |
$[0, -1, 0, -127256, 17526512]$ |
\(y^2=x^3-x^2-127256x+17526512\) |
424.2.0.? |
$[(1804/3, 4832/3)]$ |
275282.bl1 |
275282bl1 |
275282.bl |
275282bl |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 53^{2} \) |
\( - 2^{5} \cdot 7^{6} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$4.700624953$ |
$1$ |
|
$0$ |
$10108800$ |
$2.511841$ |
$-2305199161/1696$ |
$0.90862$ |
$4.55524$ |
$[1, 1, 1, -3787995, 2837897033]$ |
\(y^2+xy+y=x^3+x^2-3787995x+2837897033\) |
424.2.0.? |
$[(113979/10, 1081297/10)]$ |
275706.by1 |
275706by1 |
275706.by |
275706by |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 17^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$2.324408446$ |
$1$ |
|
$2$ |
$1209600$ |
$1.519653$ |
$-2305199161/1696$ |
$0.90862$ |
$3.60424$ |
$[1, -1, 1, -71582, 7393997]$ |
\(y^2+xy+y=x^3-x^2-71582x+7393997\) |
424.2.0.? |
$[(165, 151)]$ |
306128.ba1 |
306128ba1 |
306128.ba |
306128ba |
$1$ |
$1$ |
\( 2^{4} \cdot 19^{2} \cdot 53 \) |
\( - 2^{17} \cdot 19^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$31.51382194$ |
$1$ |
|
$0$ |
$1658880$ |
$1.719109$ |
$-2305199161/1696$ |
$0.90862$ |
$3.76385$ |
$[0, -1, 0, -158960, -24356416]$ |
\(y^2=x^3-x^2-158960x-24356416\) |
424.2.0.? |
$[(1503675113768914/1219013, 52808895237789279581694/1219013)]$ |
320650.b1 |
320650b1 |
320650.b |
320650b |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 53 \) |
\( - 2^{5} \cdot 5^{6} \cdot 11^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1666000$ |
$1.557407$ |
$-2305199161/1696$ |
$0.90862$ |
$3.59704$ |
$[1, 0, 1, -83251, 9244398]$ |
\(y^2+xy+y=x^3-83251x+9244398\) |
424.2.0.? |
$[]$ |
344394.k1 |
344394k1 |
344394.k |
344394k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 19^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.575266$ |
$-2305199161/1696$ |
$0.90862$ |
$3.59370$ |
$[1, -1, 0, -89415, -10275363]$ |
\(y^2+xy=x^3-x^2-89415x-10275363\) |
424.2.0.? |
$[]$ |
368986.k1 |
368986k1 |
368986.k |
368986k |
$1$ |
$1$ |
\( 2 \cdot 53 \cdot 59^{2} \) |
\( - 2^{5} \cdot 53 \cdot 59^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2059580$ |
$1.592510$ |
$-2305199161/1696$ |
$0.90862$ |
$3.59050$ |
$[1, 1, 1, -95800, 11380249]$ |
\(y^2+xy+y=x^3+x^2-95800x+11380249\) |
424.2.0.? |
$[]$ |
373968.el1 |
373968el1 |
373968.el |
373968el |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 53 \) |
\( - 2^{17} \cdot 3^{6} \cdot 7^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2073600$ |
$1.769150$ |
$-2305199161/1696$ |
$0.90862$ |
$3.75194$ |
$[0, 0, 0, -194187, 32957498]$ |
\(y^2=x^3-194187x+32957498\) |
424.2.0.? |
$[]$ |
394426.h1 |
394426h1 |
394426.h |
394426h |
$1$ |
$1$ |
\( 2 \cdot 53 \cdot 61^{2} \) |
\( - 2^{5} \cdot 53 \cdot 61^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304000$ |
$1.609179$ |
$-2305199161/1696$ |
$0.90862$ |
$3.58745$ |
$[1, 1, 1, -102405, -12664021]$ |
\(y^2+xy+y=x^3+x^2-102405x-12664021\) |
424.2.0.? |
$[]$ |