| 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 |
| 22848.a1 |
22848j1 |
22848.a |
22848j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3 \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$0.288028$ |
$-307981312/2499$ |
$1.05298$ |
$2.91568$ |
$[0, -1, 0, -357, -2499]$ |
\(y^2=x^3-x^2-357x-2499\) |
102.2.0.? |
$[ ]$ |
| 22848.b1 |
22848ca1 |
22848.b |
22848ca |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{19} \cdot 3 \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.474372499$ |
$1$ |
|
$4$ |
$7680$ |
$0.268966$ |
$103823/714$ |
$0.80654$ |
$2.63180$ |
$[0, -1, 0, 63, 609]$ |
\(y^2=x^3-x^2+63x+609\) |
2856.2.0.? |
$[(5, 32)]$ |
| 22848.c1 |
22848cf1 |
22848.c |
22848cf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{25} \cdot 3^{3} \cdot 7 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$2.177236246$ |
$1$ |
|
$2$ |
$161280$ |
$1.840590$ |
$-1184052061112257/34349180544$ |
$0.97855$ |
$4.70609$ |
$[0, -1, 0, -141057, 20943009]$ |
\(y^2=x^3-x^2-141057x+20943009\) |
2856.2.0.? |
$[(149, 1792)]$ |
| 22848.d1 |
22848c2 |
22848.d |
22848c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3^{8} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.156431259$ |
$1$ |
|
$5$ |
$540672$ |
$2.285854$ |
$1044942448578893426/7759962920241$ |
$1.00580$ |
$5.30796$ |
$[0, -1, 0, -1073889, 425939553]$ |
\(y^2=x^3-x^2-1073889x+425939553\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(531, 2268)]$ |
| 22848.d2 |
22848c1 |
22848.d |
22848c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{16} \cdot 3^{16} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$4.312862518$ |
$1$ |
|
$3$ |
$270336$ |
$1.939281$ |
$-23707171994692/1480419781911$ |
$1.02023$ |
$4.64077$ |
$[0, -1, 0, -24129, 15063489]$ |
\(y^2=x^3-x^2-24129x+15063489\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(-151, 3904)]$ |
| 22848.e1 |
22848bu4 |
22848.e |
22848bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3 \cdot 7^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$2.388446830$ |
$1$ |
|
$13$ |
$24576$ |
$0.952995$ |
$569001644066/122451$ |
$0.92381$ |
$3.87089$ |
$[0, -1, 0, -8769, 318945]$ |
\(y^2=x^3-x^2-8769x+318945\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 136.12.0.?, $\ldots$ |
$[(53, 16), (56, 19)]$ |
| 22848.e2 |
22848bu3 |
22848.e |
22848bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3 \cdot 7 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$9.553787321$ |
$1$ |
|
$9$ |
$24576$ |
$0.952995$ |
$52767497666/1753941$ |
$0.90421$ |
$3.63396$ |
$[0, -1, 0, -3969, -92127]$ |
\(y^2=x^3-x^2-3969x-92127\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(-37, 52), (-32, 33)]$ |
| 22848.e3 |
22848bu2 |
22848.e |
22848bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$2.388446830$ |
$1$ |
|
$27$ |
$12288$ |
$0.606421$ |
$381775972/127449$ |
$0.85650$ |
$3.07381$ |
$[0, -1, 0, -609, 3969]$ |
\(y^2=x^3-x^2-609x+3969\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 136.12.0.?, 168.24.0.?, $\ldots$ |
$[(5, 32), (0, 63)]$ |
| 22848.e4 |
22848bu1 |
22848.e |
22848bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$2.388446830$ |
$1$ |
|
$15$ |
$6144$ |
$0.259848$ |
$9148592/9639$ |
$0.79089$ |
$2.56393$ |
$[0, -1, 0, 111, 369]$ |
\(y^2=x^3-x^2+111x+369\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 136.12.0.?, $\ldots$ |
$[(5, 32), (-1, 16)]$ |
| 22848.f1 |
22848bz4 |
22848.f |
22848bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$136$ |
$48$ |
$0$ |
$1.076386667$ |
$1$ |
|
$13$ |
$114688$ |
$1.621916$ |
$16502300582616584/331494849$ |
$0.98071$ |
$4.75653$ |
$[0, -1, 0, -169729, 26970433]$ |
\(y^2=x^3-x^2-169729x+26970433\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 136.48.0.? |
$[(241, 72)]$ |
| 22848.f2 |
22848bz3 |
22848.f |
22848bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{16} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$136$ |
$48$ |
$0$ |
$4.305546670$ |
$1$ |
|
$3$ |
$114688$ |
$1.621916$ |
$293204888234504/35857918593$ |
$0.96161$ |
$4.35496$ |
$[0, -1, 0, -44289, -3171231]$ |
\(y^2=x^3-x^2-44289x-3171231\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 136.48.0.? |
$[(-89, 240)]$ |
| 22848.f3 |
22848bz2 |
22848.f |
22848bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$136$ |
$48$ |
$0$ |
$2.152773335$ |
$1$ |
|
$9$ |
$57344$ |
$1.275341$ |
$35637273157312/4552605729$ |
$1.05985$ |
$3.93780$ |
$[0, -1, 0, -10969, 394009]$ |
\(y^2=x^3-x^2-10969x+394009\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 68.24.0-68.a.1.3, 136.48.0.? |
$[(9, 544)]$ |
| 22848.f4 |
22848bz1 |
22848.f |
22848bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{4} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$136$ |
$48$ |
$0$ |
$4.305546670$ |
$1$ |
|
$3$ |
$28672$ |
$0.928768$ |
$1919569026752/7938130977$ |
$1.08186$ |
$3.41328$ |
$[0, -1, 0, 1036, 31458]$ |
\(y^2=x^3-x^2+1036x+31458\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 68.12.0.h.1, 136.48.0.? |
$[(43, 392)]$ |
| 22848.g1 |
22848by2 |
22848.g |
22848by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.062041843$ |
$1$ |
|
$3$ |
$92160$ |
$1.550377$ |
$42852953779784/24786408969$ |
$1.07719$ |
$4.16335$ |
$[0, -1, 0, -23329, -23327]$ |
\(y^2=x^3-x^2-23329x-23327\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(271, 3672)]$ |
| 22848.g2 |
22848by1 |
22848.g |
22848by |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$4.124083687$ |
$1$ |
|
$3$ |
$46080$ |
$1.203802$ |
$5352028359488/3098832471$ |
$1.24032$ |
$3.74890$ |
$[0, -1, 0, 5831, -5831]$ |
\(y^2=x^3-x^2+5831x-5831\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(129, 1696)]$ |
| 22848.h1 |
22848b4 |
22848.h |
22848b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$3.177042330$ |
$1$ |
|
$3$ |
$14336$ |
$0.747289$ |
$444893916104/9639$ |
$0.90999$ |
$3.70825$ |
$[0, -1, 0, -5089, -138047]$ |
\(y^2=x^3-x^2-5089x-138047\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 136.12.0.?, $\ldots$ |
$[(103, 648)]$ |
| 22848.h2 |
22848b2 |
22848.h |
22848b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1.588521165$ |
$1$ |
|
$9$ |
$7168$ |
$0.400715$ |
$964430272/127449$ |
$0.84666$ |
$2.88990$ |
$[0, -1, 0, -329, -1911]$ |
\(y^2=x^3-x^2-329x-1911\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 136.12.0.?, 168.24.0.?, $\ldots$ |
$[(-11, 16)]$ |
| 22848.h3 |
22848b1 |
22848.h |
22848b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$3.177042330$ |
$1$ |
|
$3$ |
$3584$ |
$0.054141$ |
$1036433728/122451$ |
$0.84708$ |
$2.48270$ |
$[0, -1, 0, -84, 294]$ |
\(y^2=x^3-x^2-84x+294\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 136.12.0.?, $\ldots$ |
$[(23, 100)]$ |
| 22848.h4 |
22848b3 |
22848.h |
22848b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3 \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$3.177042330$ |
$1$ |
|
$3$ |
$14336$ |
$0.747289$ |
$449455096/1753941$ |
$0.88517$ |
$3.19518$ |
$[0, -1, 0, 511, -10815]$ |
\(y^2=x^3-x^2+511x-10815\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(31, 184)]$ |
| 22848.i1 |
22848i2 |
22848.i |
22848i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.123109$ |
$19248832/6069$ |
$0.78858$ |
$2.49992$ |
$[0, -1, 0, -89, 249]$ |
\(y^2=x^3-x^2-89x+249\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[ ]$ |
| 22848.i2 |
22848i1 |
22848.i |
22848i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$-0.223465$ |
$6644672/7497$ |
$0.78942$ |
$1.97957$ |
$[0, -1, 0, 16, 18]$ |
\(y^2=x^3-x^2+16x+18\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[ ]$ |
| 22848.j1 |
22848cd2 |
22848.j |
22848cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{4} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.309490366$ |
$1$ |
|
$5$ |
$516096$ |
$2.379108$ |
$18575453384550358633/352517816448$ |
$1.01892$ |
$5.66376$ |
$[0, -1, 0, -3531169, -2552810687]$ |
\(y^2=x^3-x^2-3531169x-2552810687\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-1088, 63)]$ |
| 22848.j2 |
22848cd1 |
22848.j |
22848cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{32} \cdot 3^{8} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$4.618980732$ |
$1$ |
|
$3$ |
$258048$ |
$2.032536$ |
$-4100379159705193/626805817344$ |
$1.03275$ |
$4.84834$ |
$[0, -1, 0, -213409, -42593471]$ |
\(y^2=x^3-x^2-213409x-42593471\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(33309, 6078464)]$ |
| 22848.k1 |
22848cc1 |
22848.k |
22848cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$0.613851805$ |
$1$ |
|
$7$ |
$11520$ |
$0.541915$ |
$265327034368/297381$ |
$1.02684$ |
$3.31144$ |
$[0, -1, 0, -1349, 19509]$ |
\(y^2=x^3-x^2-1349x+19509\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[(4, 119)]$ |
| 22848.k2 |
22848cc2 |
22848.k |
22848cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$0.306925902$ |
$1$ |
|
$13$ |
$23040$ |
$0.888489$ |
$-6940769488/18000297$ |
$0.99965$ |
$3.39418$ |
$[0, -1, 0, -1009, 29233]$ |
\(y^2=x^3-x^2-1009x+29233\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[(1, 168)]$ |
| 22848.l1 |
22848l1 |
22848.l |
22848l |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.251412$ |
$1302642688/54621$ |
$0.89951$ |
$2.78173$ |
$[0, -1, 0, -229, -1211]$ |
\(y^2=x^3-x^2-229x-1211\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[ ]$ |
| 22848.l2 |
22848l2 |
22848.l |
22848l |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$0.597986$ |
$9148592/607257$ |
$0.90063$ |
$3.03556$ |
$[0, -1, 0, 111, -4815]$ |
\(y^2=x^3-x^2+111x-4815\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[ ]$ |
| 22848.m1 |
22848m4 |
22848.m |
22848m |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.104849$ |
$25604555308424/1102059$ |
$0.94203$ |
$4.11204$ |
$[0, -1, 0, -19649, -1053567]$ |
\(y^2=x^3-x^2-19649x-1053567\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.4, 68.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 22848.m2 |
22848m3 |
22848.m |
22848m |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{12} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.104849$ |
$747130257224/63241479$ |
$0.91715$ |
$3.75990$ |
$[0, -1, 0, -6049, 169345]$ |
\(y^2=x^3-x^2-6049x+169345\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 56.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 22848.m3 |
22848m2 |
22848.m |
22848m |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$21504$ |
$0.758275$ |
$57870788032/10323369$ |
$0.90138$ |
$3.29785$ |
$[0, -1, 0, -1289, -14391]$ |
\(y^2=x^3-x^2-1289x-14391\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0-2.a.1.1, 68.12.0-2.a.1.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
| 22848.m4 |
22848m1 |
22848.m |
22848m |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10752$ |
$0.411701$ |
$6518244032/15785469$ |
$0.91054$ |
$2.78133$ |
$[0, -1, 0, 156, -1386]$ |
\(y^2=x^3-x^2+156x-1386\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
| 22848.n1 |
22848bv1 |
22848.n |
22848bv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.866942569$ |
$1$ |
|
$2$ |
$4608$ |
$0.005960$ |
$-16777216/122451$ |
$1.06893$ |
$2.33200$ |
$[0, -1, 0, -21, 147]$ |
\(y^2=x^3-x^2-21x+147\) |
102.2.0.? |
$[(14, 49)]$ |
| 22848.o1 |
22848a1 |
22848.o |
22848a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.526588428$ |
$1$ |
|
$2$ |
$3840$ |
$0.158323$ |
$841232384/722211$ |
$0.90829$ |
$2.46191$ |
$[0, -1, 0, 79, -213]$ |
\(y^2=x^3-x^2+79x-213\) |
102.2.0.? |
$[(6, 21)]$ |
| 22848.p1 |
22848br1 |
22848.p |
22848br |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.329792$ |
$17997824/22491$ |
$0.86007$ |
$2.64608$ |
$[0, -1, 0, 139, -723]$ |
\(y^2=x^3-x^2+139x-723\) |
102.2.0.? |
$[ ]$ |
| 22848.q1 |
22848g1 |
22848.q |
22848g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.658072$ |
$-2/157437$ |
$1.17529$ |
$3.10912$ |
$[0, -1, 0, -1, -6911]$ |
\(y^2=x^3-x^2-x-6911\) |
2856.2.0.? |
$[ ]$ |
| 22848.r1 |
22848bs1 |
22848.r |
22848bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{35} \cdot 3^{3} \cdot 7^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$391680$ |
$2.213558$ |
$-344002044213921241/1011143540736$ |
$1.00402$ |
$5.26683$ |
$[0, -1, 0, -934241, 348758529]$ |
\(y^2=x^3-x^2-934241x+348758529\) |
2856.2.0.? |
$[ ]$ |
| 22848.s1 |
22848ch1 |
22848.s |
22848ch |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{17} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$1.474396$ |
$5009339741732864/5271114033171$ |
$1.04955$ |
$4.01619$ |
$[0, -1, 0, 14259, -597573]$ |
\(y^2=x^3-x^2+14259x-597573\) |
102.2.0.? |
$[ ]$ |
| 22848.t1 |
22848cg1 |
22848.t |
22848cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{5} \cdot 7 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.837629$ |
$-5841725401/231336$ |
$0.88993$ |
$3.49033$ |
$[0, -1, 0, -2401, 47617]$ |
\(y^2=x^3-x^2-2401x+47617\) |
2856.2.0.? |
$[ ]$ |
| 22848.u1 |
22848f1 |
22848.u |
22848f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{5} \cdot 7^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.811277$ |
$-798398773180392392/69429717$ |
$0.99879$ |
$5.14303$ |
$[0, -1, 0, -618465, 187412769]$ |
\(y^2=x^3-x^2-618465x+187412769\) |
2856.2.0.? |
$[ ]$ |
| 22848.v1 |
22848bq1 |
22848.v |
22848bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$86016$ |
$1.712244$ |
$-371806976516936704/89266779$ |
$1.01123$ |
$4.99782$ |
$[0, -1, 0, -380485, -90207971]$ |
\(y^2=x^3-x^2-380485x-90207971\) |
102.2.0.? |
$[ ]$ |
| 22848.w1 |
22848e1 |
22848.w |
22848e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{11} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67584$ |
$1.527500$ |
$135037162496/42645837339$ |
$1.04060$ |
$4.14812$ |
$[0, -1, 0, 2715, 1269693]$ |
\(y^2=x^3-x^2+2715x+1269693\) |
102.2.0.? |
$[ ]$ |
| 22848.x1 |
22848p1 |
22848.x |
22848p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{5} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.491207947$ |
$1$ |
|
$2$ |
$30720$ |
$1.154526$ |
$721888256/486008019$ |
$1.02597$ |
$3.70241$ |
$[0, -1, 0, 475, 135549]$ |
\(y^2=x^3-x^2+475x+135549\) |
102.2.0.? |
$[(-20, 343)]$ |
| 22848.y1 |
22848k1 |
22848.y |
22848k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3 \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.870946$ |
$-20525811272/5055477$ |
$1.03908$ |
$3.43709$ |
$[0, -1, 0, -1825, -35231]$ |
\(y^2=x^3-x^2-1825x-35231\) |
2856.2.0.? |
$[ ]$ |
| 22848.z1 |
22848bt4 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{3} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$2.241142$ |
$438536015880092936/64602489661101$ |
$0.99999$ |
$5.08333$ |
$[0, -1, 0, -506497, -119621183]$ |
\(y^2=x^3-x^2-506497x-119621183\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[ ]$ |
| 22848.z2 |
22848bt2 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.894567$ |
$68003243639904448/7163272192041$ |
$1.02012$ |
$4.69043$ |
$[0, -1, 0, -136057, 17515705]$ |
\(y^2=x^3-x^2-136057x+17515705\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$ |
$[ ]$ |
| 22848.z3 |
22848bt1 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.547993$ |
$4011705594213827392/52680152007$ |
$1.03372$ |
$4.68232$ |
$[0, -1, 0, -132412, 18589522]$ |
\(y^2=x^3-x^2-132412x+18589522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 28.12.0.h.1, $\ldots$ |
$[ ]$ |
| 22848.z4 |
22848bt3 |
22848.z |
22848bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.241142$ |
$18419405270942584/108003564029403$ |
$1.01438$ |
$4.98786$ |
$[0, -1, 0, 176063, 85869985]$ |
\(y^2=x^3-x^2+176063x+85869985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[ ]$ |
| 22848.ba1 |
22848bw2 |
22848.ba |
22848bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{21} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.949975142$ |
$1$ |
|
$3$ |
$36864$ |
$1.200624$ |
$6141556990297/1019592$ |
$0.94654$ |
$4.17698$ |
$[0, -1, 0, -24417, -1460223]$ |
\(y^2=x^3-x^2-24417x-1460223\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(183, 408)]$ |
| 22848.ba2 |
22848bw1 |
22848.ba |
22848bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{24} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$5.899950284$ |
$1$ |
|
$3$ |
$18432$ |
$0.854051$ |
$-1102302937/616896$ |
$0.88613$ |
$3.38499$ |
$[0, -1, 0, -1377, -27135]$ |
\(y^2=x^3-x^2-1377x-27135\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(8237, 747520)]$ |
| 22848.bb1 |
22848h4 |
22848.bb |
22848h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$2211840$ |
$3.237579$ |
$322159999717985454060440834/4250799$ |
$1.10805$ |
$7.25549$ |
$[0, -1, 0, -725469697, 7521266762497]$ |
\(y^2=x^3-x^2-725469697x+7521266762497\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 952.48.0.? |
$[ ]$ |
