| 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 |
| 1650.a1 |
1650d2 |
1650.a |
1650d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$660$ |
$48$ |
$1$ |
$0.333234507$ |
$1$ |
|
$6$ |
$6000$ |
$1.235889$ |
$-3257444411545/2737152$ |
$0.98429$ |
$5.62715$ |
$[1, 1, 0, -22575, 1297125]$ |
\(y^2+xy=x^3+x^2-22575x+1297125\) |
5.24.0-5.a.1.1, 132.2.0.?, 660.48.1.? |
$[(110, 345)]$ |
| 1650.a2 |
1650d1 |
1650.a |
1650d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3 \cdot 5^{4} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$660$ |
$48$ |
$1$ |
$0.066646901$ |
$1$ |
|
$10$ |
$1200$ |
$0.431171$ |
$2747555975/1932612$ |
$0.99360$ |
$3.80261$ |
$[1, 1, 0, 250, -600]$ |
\(y^2+xy=x^3+x^2+250x-600\) |
5.24.0-5.a.2.1, 132.2.0.?, 660.48.1.? |
$[(70, 570)]$ |
| 1650.b1 |
1650a5 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2 \cdot 3 \cdot 5^{14} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$2640$ |
$192$ |
$1$ |
$3.441788054$ |
$1$ |
|
$4$ |
$6144$ |
$1.504808$ |
$6484907238722641/283593750$ |
$1.00744$ |
$6.21782$ |
$[1, 1, 0, -97125, -11690625]$ |
\(y^2+xy=x^3+x^2-97125x-11690625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 20.12.0-4.c.1.1, $\ldots$ |
$[(-181, 76)]$ |
| 1650.b2 |
1650a4 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$2640$ |
$192$ |
$1$ |
$0.430223506$ |
$1$ |
|
$10$ |
$3072$ |
$1.158234$ |
$179415687049201/1443420$ |
$0.99008$ |
$5.73357$ |
$[1, 1, 0, -29375, 1925625]$ |
\(y^2+xy=x^3+x^2-29375x+1925625\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 20.12.0-4.c.1.2, 40.48.0-40.cb.1.12, $\ldots$ |
$[(100, -25)]$ |
| 1650.b3 |
1650a3 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1.720894027$ |
$1$ |
|
$12$ |
$3072$ |
$1.158234$ |
$1834216913521/329422500$ |
$0.96888$ |
$5.11495$ |
$[1, 1, 0, -6375, -165375]$ |
\(y^2+xy=x^3+x^2-6375x-165375\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.1, 24.48.0-24.e.1.17, $\ldots$ |
$[(95, 265)]$ |
| 1650.b4 |
1650a2 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1320$ |
$192$ |
$1$ |
$0.860447013$ |
$1$ |
|
$14$ |
$1536$ |
$0.811661$ |
$46694890801/3920400$ |
$0.93791$ |
$4.61948$ |
$[1, 1, 0, -1875, 28125]$ |
\(y^2+xy=x^3+x^2-1875x+28125\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 20.24.0-4.b.1.3, 24.48.0-24.l.1.20, $\ldots$ |
$[(5, 135)]$ |
| 1650.b5 |
1650a1 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$2640$ |
$192$ |
$1$ |
$0.430223506$ |
$1$ |
|
$9$ |
$768$ |
$0.465087$ |
$13651919/126720$ |
$0.92127$ |
$3.88697$ |
$[1, 1, 0, 125, 2125]$ |
\(y^2+xy=x^3+x^2+125x+2125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 20.12.0-4.c.1.2, $\ldots$ |
$[(-5, 40)]$ |
| 1650.b6 |
1650a6 |
1650.b |
1650a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3 \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$2640$ |
$192$ |
$1$ |
$3.441788054$ |
$1$ |
|
$4$ |
$6144$ |
$1.504808$ |
$13411719834479/32153832150$ |
$1.00277$ |
$5.53806$ |
$[1, 1, 0, 12375, -934125]$ |
\(y^2+xy=x^3+x^2+12375x-934125\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 20.12.0-4.c.1.1, 24.48.0-24.bn.1.12, $\ldots$ |
$[(65, 355)]$ |
| 1650.c1 |
1650b3 |
1650.c |
1650b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 11^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.24.0.4 |
2B, 5B.1.3 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$8000$ |
$1.552572$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.60329$ |
$[1, 1, 0, -251625, -48687375]$ |
\(y^2+xy=x^3+x^2-251625x-48687375\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 8.6.0.d.1, 10.72.0-10.a.1.1, 40.144.1-40.t.1.2, $\ldots$ |
$[]$ |
| 1650.c2 |
1650b4 |
1650.c |
1650b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.24.0.4 |
2B, 5B.1.3 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$16000$ |
$1.899145$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.60386$ |
$[1, 1, 0, -251375, -48788625]$ |
\(y^2+xy=x^3+x^2-251375x-48788625\) |
2.3.0.a.1, 5.24.0-5.a.2.1, 8.6.0.a.1, 10.72.0-10.a.1.1, 40.144.1-40.c.2.9, $\ldots$ |
$[]$ |
| 1650.c3 |
1650b1 |
1650.c |
1650b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.24.0.2 |
2B, 5B.1.4 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1600$ |
$0.747853$ |
$10091699281/2737152$ |
$1.07340$ |
$4.41270$ |
$[1, 1, 0, -1125, 10125]$ |
\(y^2+xy=x^3+x^2-1125x+10125\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 8.6.0.d.1, 10.72.0-10.a.2.3, 40.144.1-40.t.2.2, $\ldots$ |
$[]$ |
| 1650.c4 |
1650b2 |
1650.c |
1650b |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{10} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.24.0.2 |
2B, 5B.1.4 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3200$ |
$1.094427$ |
$168105213359/228637728$ |
$1.10021$ |
$4.83291$ |
$[1, 1, 0, 2875, 70125]$ |
\(y^2+xy=x^3+x^2+2875x+70125\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 8.6.0.a.1, 10.72.0-10.a.2.3, 40.144.1-40.c.1.5, $\ldots$ |
$[]$ |
| 1650.d1 |
1650c2 |
1650.d |
1650c |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{10} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$440$ |
$48$ |
$1$ |
$1.328917811$ |
$1$ |
|
$4$ |
$6000$ |
$1.262533$ |
$-854307420745/20785248$ |
$0.97647$ |
$5.45186$ |
$[1, 1, 0, -14450, 676500]$ |
\(y^2+xy=x^3+x^2-14450x+676500\) |
5.24.0-5.a.1.1, 88.2.0.?, 440.48.1.? |
$[(71, 86)]$ |
| 1650.d2 |
1650c1 |
1650.d |
1650c |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{2} \cdot 5^{4} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$440$ |
$48$ |
$1$ |
$0.265783562$ |
$1$ |
|
$6$ |
$1200$ |
$0.457815$ |
$341297975/2898918$ |
$0.99674$ |
$3.87415$ |
$[1, 1, 0, 125, -1925]$ |
\(y^2+xy=x^3+x^2+125x-1925\) |
5.24.0-5.a.2.1, 88.2.0.?, 440.48.1.? |
$[(31, 166)]$ |
| 1650.e1 |
1650g3 |
1650.e |
1650g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{22} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$215040$ |
$3.060783$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$8.71083$ |
$[1, 0, 1, -45822651, -119386039802]$ |
\(y^2+xy+y=x^3-45822651x-119386039802\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 264.24.0.?, $\ldots$ |
$[]$ |
| 1650.e2 |
1650g2 |
1650.e |
1650g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{14} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$107520$ |
$2.714211$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$7.61421$ |
$[1, 0, 1, -3054651, -1602967802]$ |
\(y^2+xy+y=x^3-3054651x-1602967802\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 132.12.0.?, $\ldots$ |
$[]$ |
| 1650.e3 |
1650g1 |
1650.e |
1650g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$2.367638$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$7.16472$ |
$[1, 0, 1, -1006651, 367208198]$ |
\(y^2+xy+y=x^3-1006651x+367208198\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[]$ |
| 1650.e4 |
1650g4 |
1650.e |
1650g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{7} \cdot 3^{20} \cdot 5^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$3.060783$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$8.03877$ |
$[1, 0, 1, 6945349, -9902967802]$ |
\(y^2+xy+y=x^3+6945349x-9902967802\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 1650.f1 |
1650i1 |
1650.f |
1650i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.132603755$ |
$1$ |
|
$8$ |
$144$ |
$-0.462788$ |
$-625/1188$ |
$1.11238$ |
$2.39642$ |
$[1, 0, 1, -1, 8]$ |
\(y^2+xy+y=x^3-x+8\) |
132.2.0.? |
$[(1, 2)]$ |
| 1650.g1 |
1650j2 |
1650.g |
1650j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$132$ |
$16$ |
$0$ |
$1.345393116$ |
$1$ |
|
$2$ |
$3888$ |
$1.140207$ |
$-5023028944825/9420668928$ |
$1.02919$ |
$5.01146$ |
$[1, 0, 1, -3051, -133802]$ |
\(y^2+xy+y=x^3-3051x-133802\) |
3.8.0-3.a.1.1, 132.16.0.? |
$[(143, 1464)]$ |
| 1650.g2 |
1650j1 |
1650.g |
1650j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 11 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$132$ |
$16$ |
$0$ |
$0.448464372$ |
$1$ |
|
$14$ |
$1296$ |
$0.590901$ |
$6045109175/13856832$ |
$0.99423$ |
$4.05557$ |
$[1, 0, 1, 324, 3898]$ |
\(y^2+xy+y=x^3+324x+3898\) |
3.8.0-3.a.1.2, 132.16.0.? |
$[(-7, 39)]$ |
| 1650.h1 |
1650h5 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{14} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$2640$ |
$192$ |
$1$ |
$1.977168095$ |
$1$ |
|
$6$ |
$36864$ |
$2.266479$ |
$553808571467029327441/12529687500$ |
$1.04740$ |
$7.75052$ |
$[1, 0, 1, -4277126, -3405034852]$ |
\(y^2+xy+y=x^3-4277126x-3405034852\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 20.12.0-4.c.1.1, $\ldots$ |
$[(-1194, 601)]$ |
| 1650.h2 |
1650h4 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$2640$ |
$192$ |
$1$ |
$0.247146011$ |
$1$ |
|
$12$ |
$18432$ |
$1.919905$ |
$182864522286982801/463015182960$ |
$1.07501$ |
$6.66855$ |
$[1, 0, 1, -295626, 61707148]$ |
\(y^2+xy+y=x^3-295626x+61707148\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(-7, 7989)]$ |
| 1650.h3 |
1650h3 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1320$ |
$192$ |
$1$ |
$0.988584047$ |
$1$ |
|
$14$ |
$18432$ |
$1.919905$ |
$135670761487282321/643043610000$ |
$1.02017$ |
$6.62826$ |
$[1, 0, 1, -267626, -53092852]$ |
\(y^2+xy+y=x^3-267626x-53092852\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 20.24.0-4.b.1.1, 24.48.0-24.h.1.8, $\ldots$ |
$[(-303, 601)]$ |
| 1650.h4 |
1650h6 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$2640$ |
$192$ |
$1$ |
$0.494292023$ |
$1$ |
|
$10$ |
$36864$ |
$2.266479$ |
$-15595206456730321/310672490129100$ |
$1.05689$ |
$6.81778$ |
$[1, 0, 1, -130126, -107542852]$ |
\(y^2+xy+y=x^3-130126x-107542852\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 20.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[(667, 9791)]$ |
| 1650.h5 |
1650h2 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1320$ |
$192$ |
$1$ |
$0.494292023$ |
$1$ |
|
$16$ |
$9216$ |
$1.573332$ |
$119102750067601/68309049600$ |
$1.06441$ |
$5.67827$ |
$[1, 0, 1, -25626, 147148]$ |
\(y^2+xy+y=x^3-25626x+147148\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.2, 20.24.0-4.b.1.3, $\ldots$ |
$[(-19, 801)]$ |
| 1650.h6 |
1650h1 |
1650.h |
1650h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$2640$ |
$192$ |
$1$ |
$0.988584047$ |
$1$ |
|
$7$ |
$4608$ |
$1.226757$ |
$1833318007919/1070530560$ |
$1.04706$ |
$5.11488$ |
$[1, 0, 1, 6374, 19148]$ |
\(y^2+xy+y=x^3+6374x+19148\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.5, $\ldots$ |
$[(22, 401)]$ |
| 1650.i1 |
1650e1 |
1650.i |
1650e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1680$ |
$0.808805$ |
$-390625/12672$ |
$1.18660$ |
$4.45621$ |
$[1, 0, 1, -326, 17048]$ |
\(y^2+xy+y=x^3-326x+17048\) |
88.2.0.? |
$[]$ |
| 1650.j1 |
1650k2 |
1650.j |
1650k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{33} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$23760$ |
$2.095776$ |
$-6663170841705625/850403524608$ |
$1.07384$ |
$6.68286$ |
$[1, 0, 1, -286576, -65259202]$ |
\(y^2+xy+y=x^3-286576x-65259202\) |
3.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
| 1650.j2 |
1650k1 |
1650.j |
1650k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 11^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7920$ |
$1.546471$ |
$3355354844375/1987172352$ |
$1.11835$ |
$5.63095$ |
$[1, 0, 1, 22799, 204548]$ |
\(y^2+xy+y=x^3+22799x+204548\) |
3.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
| 1650.k1 |
1650f3 |
1650.k |
1650f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2048$ |
$0.709765$ |
$4824238966273/66$ |
$1.02376$ |
$5.24548$ |
$[1, 0, 1, -8801, -318502]$ |
\(y^2+xy+y=x^3-8801x-318502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 264.24.0.?, $\ldots$ |
$[]$ |
| 1650.k2 |
1650f2 |
1650.k |
1650f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1024$ |
$0.363192$ |
$1180932193/4356$ |
$0.96736$ |
$4.12311$ |
$[1, 0, 1, -551, -5002]$ |
\(y^2+xy+y=x^3-551x-5002\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 132.12.0.?, $\ldots$ |
$[]$ |
| 1650.k3 |
1650f4 |
1650.k |
1650f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2048$ |
$0.709765$ |
$-192100033/2371842$ |
$1.02507$ |
$4.29725$ |
$[1, 0, 1, -301, -9502]$ |
\(y^2+xy+y=x^3-301x-9502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 1650.k4 |
1650f1 |
1650.k |
1650f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.016618$ |
$912673/528$ |
$1.18336$ |
$3.15592$ |
$[1, 0, 1, -51, -2]$ |
\(y^2+xy+y=x^3-51x-2\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[]$ |
| 1650.l1 |
1650o1 |
1650.l |
1650o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.041498305$ |
$1$ |
|
$14$ |
$336$ |
$0.004086$ |
$-390625/12672$ |
$1.18660$ |
$3.15276$ |
$[1, 1, 1, -13, 131]$ |
\(y^2+xy+y=x^3+x^2-13x+131\) |
88.2.0.? |
$[(5, 12)]$ |
| 1650.m1 |
1650m3 |
1650.m |
1650m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$0.694642$ |
$57736239625/255552$ |
$0.99775$ |
$4.64813$ |
$[1, 1, 1, -2013, -35469]$ |
\(y^2+xy+y=x^3+x^2-2013x-35469\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 1650.m2 |
1650m4 |
1650.m |
1650m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$1.041216$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.83338$ |
$[1, 1, 1, -1013, -69469]$ |
\(y^2+xy+y=x^3+x^2-1013x-69469\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 1650.m3 |
1650m1 |
1650.m |
1650m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.145336$ |
$18609625/1188$ |
$0.92581$ |
$3.56290$ |
$[1, 1, 1, -138, 531]$ |
\(y^2+xy+y=x^3+x^2-138x+531\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 1650.m4 |
1650m2 |
1650.m |
1650m |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.491910$ |
$9938375/176418$ |
$1.01160$ |
$3.93584$ |
$[1, 1, 1, 112, 2531]$ |
\(y^2+xy+y=x^3+x^2+112x+2531\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 1650.n1 |
1650n2 |
1650.n |
1650n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{33} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.225054097$ |
$1$ |
|
$8$ |
$4752$ |
$1.291058$ |
$-6663170841705625/850403524608$ |
$1.07384$ |
$5.37941$ |
$[1, 1, 1, -11463, -526659]$ |
\(y^2+xy+y=x^3+x^2-11463x-526659\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(139, 698)]$ |
| 1650.n2 |
1650n1 |
1650.n |
1650n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.075018032$ |
$1$ |
|
$12$ |
$1584$ |
$0.741753$ |
$3355354844375/1987172352$ |
$1.11835$ |
$4.32751$ |
$[1, 1, 1, 912, 2001]$ |
\(y^2+xy+y=x^3+x^2+912x+2001\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(109, 1133)]$ |
| 1650.o1 |
1650l2 |
1650.o |
1650l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{10} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19440$ |
$1.944925$ |
$-5023028944825/9420668928$ |
$1.02919$ |
$6.31491$ |
$[1, 1, 1, -76263, -16725219]$ |
\(y^2+xy+y=x^3+x^2-76263x-16725219\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 132.8.0.?, 660.16.0.? |
$[]$ |
| 1650.o2 |
1650l1 |
1650.o |
1650l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6480$ |
$1.395620$ |
$6045109175/13856832$ |
$0.99423$ |
$5.35901$ |
$[1, 1, 1, 8112, 487281]$ |
\(y^2+xy+y=x^3+x^2+8112x+487281\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 132.8.0.?, 660.16.0.? |
$[]$ |
| 1650.p1 |
1650p1 |
1650.p |
1650p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$0.341931$ |
$-625/1188$ |
$1.11238$ |
$3.69986$ |
$[1, 1, 1, -13, 1031]$ |
\(y^2+xy+y=x^3+x^2-13x+1031\) |
132.2.0.? |
$[]$ |
| 1650.q1 |
1650r1 |
1650.q |
1650r |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{10} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$1200$ |
$0.457815$ |
$-854307420745/20785248$ |
$0.97647$ |
$4.14841$ |
$[1, 0, 0, -578, 5412]$ |
\(y^2+xy=x^3-578x+5412\) |
5.24.0-5.a.1.2, 88.2.0.?, 440.48.1.? |
$[]$ |
| 1650.q2 |
1650r2 |
1650.q |
1650r |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{2} \cdot 5^{10} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.3 |
5B.1.2 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6000$ |
$1.262533$ |
$341297975/2898918$ |
$0.99674$ |
$5.17760$ |
$[1, 0, 0, 3112, -246858]$ |
\(y^2+xy=x^3+3112x-246858\) |
5.24.0-5.a.2.2, 88.2.0.?, 440.48.1.? |
$[]$ |
| 1650.r1 |
1650q3 |
1650.r |
1650q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2 \cdot 3^{20} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.872704$ |
$7981893677157049/1917731420550$ |
$1.01586$ |
$6.24585$ |
$[1, 0, 0, -104088, 9876042]$ |
\(y^2+xy=x^3-104088x+9876042\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
| 1650.r2 |
1650q2 |
1650.r |
1650q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7680$ |
$1.526129$ |
$312341975961049/17862322500$ |
$0.99450$ |
$5.80841$ |
$[1, 0, 0, -35338, -2430208]$ |
\(y^2+xy=x^3-35338x-2430208\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 1650.r3 |
1650q1 |
1650.r |
1650q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.179556$ |
$299270638153369/1069200$ |
$0.99274$ |
$5.80263$ |
$[1, 0, 0, -34838, -2505708]$ |
\(y^2+xy=x^3-34838x-2505708\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 1650.r4 |
1650q4 |
1650.r |
1650q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2 \cdot 3^{5} \cdot 5^{14} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.872704$ |
$116149984977671/2779502343750$ |
$1.04249$ |
$6.17399$ |
$[1, 0, 0, 25412, -9902458]$ |
\(y^2+xy=x^3+25412x-9902458\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
