| 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 |
| 9744.a1 |
9744n2 |
9744.a |
9744n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{6} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.485588892$ |
$1$ |
|
$27$ |
$27648$ |
$1.072838$ |
$1626794704081/552715002$ |
$0.98712$ |
$3.96709$ |
$[0, -1, 0, -3920, 62016]$ |
\(y^2=x^3-x^2-3920x+62016\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(80, 504), (10, 154)]$ |
| 9744.a2 |
9744n1 |
9744.a |
9744n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.485588892$ |
$1$ |
|
$33$ |
$13824$ |
$0.726264$ |
$10063705679/10384668$ |
$0.96108$ |
$3.41339$ |
$[0, -1, 0, 720, 6336]$ |
\(y^2=x^3-x^2+720x+6336\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(8, 112), (-6, 42)]$ |
| 9744.b1 |
9744a4 |
9744.b |
9744a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{11} \cdot 3^{12} \cdot 7 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$2.671018415$ |
$1$ |
|
$5$ |
$12288$ |
$1.048590$ |
$38123958498194/107882523$ |
$0.93844$ |
$4.23506$ |
$[0, -1, 0, -8904, 325584]$ |
\(y^2=x^3-x^2-8904x+325584\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 116.12.0.?, $\ldots$ |
$[(58, 30)]$ |
| 9744.b2 |
9744a3 |
9744.b |
9744a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{11} \cdot 3^{3} \cdot 7 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$2.671018415$ |
$1$ |
|
$5$ |
$12288$ |
$1.048590$ |
$31373913421874/133676109$ |
$0.93716$ |
$4.21384$ |
$[0, -1, 0, -8344, -289520]$ |
\(y^2=x^3-x^2-8344x-289520\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(-54, 26)]$ |
| 9744.b3 |
9744a2 |
9744.b |
9744a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$1.335509207$ |
$1$ |
|
$13$ |
$6144$ |
$0.702017$ |
$52110563908/30041361$ |
$0.98148$ |
$3.44150$ |
$[0, -1, 0, -784, 784]$ |
\(y^2=x^3-x^2-784x+784\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 116.12.0.?, 168.24.0.?, $\ldots$ |
$[(0, 28)]$ |
| 9744.b4 |
9744a1 |
9744.b |
9744a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$2.671018415$ |
$1$ |
|
$5$ |
$3072$ |
$0.355443$ |
$3236192048/1879983$ |
$0.94412$ |
$2.98798$ |
$[0, -1, 0, 196, 0]$ |
\(y^2=x^3-x^2+196x\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 116.12.0.?, $\ldots$ |
$[(1, 14)]$ |
| 9744.c1 |
9744c3 |
9744.c |
9744c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{11} \cdot 3^{4} \cdot 7^{4} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4872$ |
$48$ |
$0$ |
$0.471607751$ |
$1$ |
|
$27$ |
$10240$ |
$0.697798$ |
$143256979154/5639949$ |
$0.89591$ |
$3.62707$ |
$[0, -1, 0, -1384, 19600]$ |
\(y^2=x^3-x^2-1384x+19600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 116.12.0.?, 168.24.0.?, $\ldots$ |
$[(32, 84), (16, 36)]$ |
| 9744.c2 |
9744c2 |
9744.c |
9744c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$1.886431005$ |
$1$ |
|
$25$ |
$5120$ |
$0.351224$ |
$1219284868/370881$ |
$0.91278$ |
$3.03264$ |
$[0, -1, 0, -224, -816]$ |
\(y^2=x^3-x^2-224x-816\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 116.12.0.?, 168.24.0.?, $\ldots$ |
$[(24, 84), (-8, 20)]$ |
| 9744.c3 |
9744c1 |
9744.c |
9744c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{8} \cdot 3 \cdot 7 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4872$ |
$48$ |
$0$ |
$7.545724021$ |
$1$ |
|
$7$ |
$2560$ |
$0.004650$ |
$3685542352/609$ |
$0.89387$ |
$3.00214$ |
$[0, -1, 0, -204, -1056]$ |
\(y^2=x^3-x^2-204x-1056\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 116.12.0.?, $\ldots$ |
$[(28, 120), (17, 10)]$ |
| 9744.c4 |
9744c4 |
9744.c |
9744c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{11} \cdot 3 \cdot 7 \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4872$ |
$48$ |
$0$ |
$7.545724021$ |
$1$ |
|
$7$ |
$10240$ |
$0.697798$ |
$12601744846/14852901$ |
$0.89775$ |
$3.36633$ |
$[0, -1, 0, 616, -6192]$ |
\(y^2=x^3-x^2+616x-6192\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(18, 102), (34, 230)]$ |
| 9744.d1 |
9744h4 |
9744.d |
9744h |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.863922$ |
$21500025903924625/7344878367708$ |
$1.05637$ |
$5.00028$ |
$[0, -1, 0, -92688, 6982848]$ |
\(y^2=x^3-x^2-92688x+6982848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 28.6.0.a.1, $\ldots$ |
$[]$ |
| 9744.d2 |
9744h2 |
9744.d |
9744h |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{18} \cdot 3^{6} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.314617$ |
$1477843225692625/274663872$ |
$0.96456$ |
$4.70876$ |
$[0, -1, 0, -37968, -2834496]$ |
\(y^2=x^3-x^2-37968x-2834496\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 28.6.0.a.1, $\ldots$ |
$[]$ |
| 9744.d3 |
9744h1 |
9744.d |
9744h |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{24} \cdot 3^{3} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.968043$ |
$-260305116625/157151232$ |
$0.91940$ |
$3.84537$ |
$[0, -1, 0, -2128, -53312]$ |
\(y^2=x^3-x^2-2128x-53312\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 28.6.0.b.1, $\ldots$ |
$[]$ |
| 9744.d4 |
9744h3 |
9744.d |
9744h |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 7^{6} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2436$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.517349$ |
$134335727363375/137728390128$ |
$1.04470$ |
$4.44766$ |
$[0, -1, 0, 17072, 748480]$ |
\(y^2=x^3-x^2+17072x+748480\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 28.6.0.b.1, $\ldots$ |
$[]$ |
| 9744.e1 |
9744i2 |
9744.e |
9744i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{10} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.253704$ |
$10112728515625/5561943408$ |
$1.09534$ |
$4.16604$ |
$[0, -1, 0, -7208, -50064]$ |
\(y^2=x^3-x^2-7208x-50064\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 9744.e2 |
9744i1 |
9744.e |
9744i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.907130$ |
$145116956375/88397568$ |
$1.05175$ |
$3.70395$ |
$[0, -1, 0, 1752, -7056]$ |
\(y^2=x^3-x^2+1752x-7056\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 9744.f1 |
9744l4 |
9744.f |
9744l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{12} \cdot 29 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$11612160$ |
$4.233780$ |
$176678690562294721133446471910833/3033870191363023488$ |
$1.07640$ |
$8.99020$ |
$[0, -1, 0, -18704242992, 984602802313152]$ |
\(y^2=x^3-x^2-18704242992x+984602802313152\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 232.24.0.?, 1624.48.0.? |
$[]$ |
| 9744.f2 |
9744l3 |
9744.f |
9744l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{19} \cdot 3^{40} \cdot 7^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$11612160$ |
$4.233780$ |
$55425212630542527476751037873/15479334185118626660294016$ |
$1.06871$ |
$8.11186$ |
$[0, -1, 0, -1270909232, 12544321460160]$ |
\(y^2=x^3-x^2-1270909232x+12544321460160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 56.24.0-56.z.1.2, $\ldots$ |
$[]$ |
| 9744.f3 |
9744l2 |
9744.f |
9744l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{26} \cdot 3^{20} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1624$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$5806080$ |
$3.887203$ |
$43138515777213631193352207793/5652352909513890349056$ |
$1.06260$ |
$8.08457$ |
$[0, -1, 0, -1169051952, 15383694997440]$ |
\(y^2=x^3-x^2-1169051952x+15383694997440\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 232.24.0.?, 1624.48.0.? |
$[]$ |
| 9744.f4 |
9744l1 |
9744.f |
9744l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{40} \cdot 3^{10} \cdot 7^{3} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$3.540630$ |
$-8025141932308829504241073/3845373573888057802752$ |
$1.04990$ |
$7.21501$ |
$[0, -1, 0, -66736432, 283736078272]$ |
\(y^2=x^3-x^2-66736432x+283736078272\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 232.24.0.?, $\ldots$ |
$[]$ |
| 9744.g1 |
9744k3 |
9744.g |
9744k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{3} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.927856$ |
$2818140246756887473/314406208368$ |
$0.99943$ |
$5.53115$ |
$[0, -1, 0, -470832, -124181568]$ |
\(y^2=x^3-x^2-470832x-124181568\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 28.24.0-28.h.1.1, 696.24.0.?, 4872.48.0.? |
$[]$ |
| 9744.g2 |
9744k2 |
9744.g |
9744k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$1.581284$ |
$867622835347633/227964231936$ |
$1.04545$ |
$4.65077$ |
$[0, -1, 0, -31792, -1601600]$ |
\(y^2=x^3-x^2-31792x-1601600\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.2, 348.24.0.?, 2436.48.0.? |
$[]$ |
| 9744.g3 |
9744k1 |
9744.g |
9744k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{28} \cdot 3 \cdot 7^{3} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.234711$ |
$39085920587953/1955659776$ |
$0.94437$ |
$4.31324$ |
$[0, -1, 0, -11312, 446400]$ |
\(y^2=x^3-x^2-11312x+446400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.ba.1.10, $\ldots$ |
$[]$ |
| 9744.g4 |
9744k4 |
9744.g |
9744k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{16} \cdot 3 \cdot 7^{12} \cdot 29 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$110592$ |
$1.927856$ |
$13601087408654927/19267071783792$ |
$1.06618$ |
$4.99072$ |
$[0, -1, 0, 79568, -10421312]$ |
\(y^2=x^3-x^2+79568x-10421312\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.4, 174.6.0.?, 348.24.0.?, $\ldots$ |
$[]$ |
| 9744.h1 |
9744j2 |
9744.h |
9744j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$0.952734$ |
$7701397204048/1892605743$ |
$0.91981$ |
$3.83450$ |
$[0, -1, 0, -2612, 39852]$ |
\(y^2=x^3-x^2-2612x+39852\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[]$ |
| 9744.h2 |
9744j1 |
9744.h |
9744j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.606161$ |
$4994190819328/276357501$ |
$0.96069$ |
$3.48546$ |
$[0, -1, 0, -897, -9540]$ |
\(y^2=x^3-x^2-897x-9540\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
| 9744.i1 |
9744b1 |
9744.i |
9744b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{5} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$1.468203$ |
$-491028574078226/99607139289$ |
$0.95892$ |
$4.54604$ |
$[0, -1, 0, -20872, -1341872]$ |
\(y^2=x^3-x^2-20872x-1341872\) |
4872.2.0.? |
$[]$ |
| 9744.j1 |
9744m1 |
9744.j |
9744m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{13} \cdot 3 \cdot 7^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.441382$ |
$-8205738913/59682$ |
$0.87396$ |
$3.39253$ |
$[0, -1, 0, -672, -6528]$ |
\(y^2=x^3-x^2-672x-6528\) |
4872.2.0.? |
$[]$ |
| 9744.k1 |
9744f2 |
9744.k |
9744f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.181717490$ |
$1$ |
|
$5$ |
$4096$ |
$0.191058$ |
$188183524/52983$ |
$0.95241$ |
$2.82919$ |
$[0, 1, 0, -120, 324]$ |
\(y^2=x^3+x^2-120x+324\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(0, 18)]$ |
| 9744.k2 |
9744f1 |
9744.k |
9744f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3 \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$2.363434981$ |
$1$ |
|
$3$ |
$2048$ |
$-0.155515$ |
$3286064/4263$ |
$0.74911$ |
$2.26110$ |
$[0, 1, 0, 20, 44]$ |
\(y^2=x^3+x^2+20x+44\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(7, 24)]$ |
| 9744.l1 |
9744q3 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.983809$ |
$947531277805646290177/38367$ |
$1.01996$ |
$6.16460$ |
$[0, 1, 0, -3273984, -2281239180]$ |
\(y^2=x^3+x^2-3273984x-2281239180\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 48.48.0-48.e.1.23, 112.48.0.?, $\ldots$ |
$[]$ |
| 9744.l2 |
9744q5 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{24} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$2.330383$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.65099$ |
$[0, 1, 0, -679504, 175033940]$ |
\(y^2=x^3+x^2-679504x+175033940\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 28.24.0-28.h.1.2, 48.48.0-48.e.2.15, $\ldots$ |
$[]$ |
| 9744.l3 |
9744q4 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$98304$ |
$1.983809$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$5.26515$ |
$[0, 1, 0, -208544, -34260684]$ |
\(y^2=x^3+x^2-208544x-34260684\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 28.48.0-28.c.1.1, 168.96.0.?, $\ldots$ |
$[]$ |
| 9744.l4 |
9744q2 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.637236$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$5.25896$ |
$[0, 1, 0, -204624, -35695404]$ |
\(y^2=x^3+x^2-204624x-35695404\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.i.2.1, 56.48.0-56.m.1.3, 168.96.0.?, $\ldots$ |
$[]$ |
| 9744.l5 |
9744q1 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.290661$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.36188$ |
$[0, 1, 0, -12544, -583180]$ |
\(y^2=x^3+x^2-12544x-583180\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bz.1.11, 112.48.0.?, $\ldots$ |
$[]$ |
| 9744.l6 |
9744q6 |
9744.l |
9744q |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 29^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$2.330383$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.57450$ |
$[0, 1, 0, 199696, -151670508]$ |
\(y^2=x^3+x^2+199696x-151670508\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 14.6.0.b.1, 24.48.0-24.bz.2.3, $\ldots$ |
$[]$ |
| 9744.m1 |
9744r1 |
9744.m |
9744r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{25} \cdot 3^{3} \cdot 7^{3} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$471744$ |
$2.853283$ |
$526646344431378309263/1308681048044740608$ |
$1.03599$ |
$6.23044$ |
$[0, 1, 0, 2691856, 3086110932]$ |
\(y^2=x^3+x^2+2691856x+3086110932\) |
4872.2.0.? |
$[]$ |
| 9744.n1 |
9744v1 |
9744.n |
9744v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{19} \cdot 3^{11} \cdot 7^{5} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$0.123782623$ |
$1$ |
|
$12$ |
$73920$ |
$1.875483$ |
$146588258764583/11051773342848$ |
$1.02098$ |
$4.98654$ |
$[0, 1, 0, 17576, -10191340]$ |
\(y^2=x^3+x^2+17576x-10191340\) |
4872.2.0.? |
$[(278, 4032)]$ |
| 9744.o1 |
9744g4 |
9744.o |
9744g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{4} \cdot 29 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.782838$ |
$18807789559108/626661$ |
$0.92865$ |
$4.08265$ |
$[0, 1, 0, -5584, 158756]$ |
\(y^2=x^3+x^2-5584x+158756\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.ba.1.4, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 9744.o2 |
9744g3 |
9744.o |
9744g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.782838$ |
$462859546468/44558703$ |
$0.90198$ |
$3.67930$ |
$[0, 1, 0, -1624, -23548]$ |
\(y^2=x^3+x^2-1624x-23548\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 28.24.0-28.h.1.1, 232.24.0.?, 1624.48.0.? |
$[]$ |
| 9744.o3 |
9744g2 |
9744.o |
9744g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$0.436265$ |
$20892021712/3337929$ |
$0.85901$ |
$3.19104$ |
$[0, 1, 0, -364, 2156]$ |
\(y^2=x^3+x^2-364x+2156\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.a.1.2, 116.24.0.?, 812.48.0.? |
$[]$ |
| 9744.o4 |
9744g1 |
9744.o |
9744g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.089691$ |
$464857088/1331883$ |
$0.87860$ |
$2.62443$ |
$[0, 1, 0, 41, 212]$ |
\(y^2=x^3+x^2+41x+212\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.ba.1.10, $\ldots$ |
$[]$ |
| 9744.p1 |
9744w2 |
9744.p |
9744w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{8} \cdot 3^{4} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.597171916$ |
$1$ |
|
$3$ |
$3072$ |
$0.241318$ |
$830321872/476847$ |
$0.91238$ |
$2.83987$ |
$[0, 1, 0, -124, -88]$ |
\(y^2=x^3+x^2-124x-88\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[(-1, 6)]$ |
| 9744.p2 |
9744w1 |
9744.p |
9744w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$3.194343833$ |
$1$ |
|
$3$ |
$1536$ |
$-0.105256$ |
$4927700992/12789$ |
$0.89073$ |
$2.73188$ |
$[0, 1, 0, -89, -354]$ |
\(y^2=x^3+x^2-89x-354\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[(106, 1092)]$ |
| 9744.q1 |
9744p2 |
9744.q |
9744p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{12} \cdot 3^{2} \cdot 7 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.415412$ |
$4956477625/52983$ |
$0.86867$ |
$3.33628$ |
$[0, 1, 0, -568, -5356]$ |
\(y^2=x^3+x^2-568x-5356\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 9744.q2 |
9744p1 |
9744.q |
9744p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.068839$ |
$-15625/4263$ |
$0.95144$ |
$2.62753$ |
$[0, 1, 0, -8, -204]$ |
\(y^2=x^3+x^2-8x-204\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 9744.r1 |
9744e2 |
9744.r |
9744e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{7} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$0.270747276$ |
$1$ |
|
$11$ |
$430080$ |
$2.643200$ |
$585442900448434507310500/40897317500487$ |
$1.03462$ |
$6.71335$ |
$[0, 1, 0, -17566568, 28332750372]$ |
\(y^2=x^3+x^2-17566568x+28332750372\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(2416, 294)]$ |
| 9744.r2 |
9744e1 |
9744.r |
9744e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{14} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$0.541494552$ |
$1$ |
|
$7$ |
$215040$ |
$2.296627$ |
$-568288203127281250000/4779437994366903$ |
$1.08752$ |
$5.80862$ |
$[0, 1, 0, -1095708, 444290220]$ |
\(y^2=x^3+x^2-1095708x+444290220\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(162, 16464)]$ |
| 9744.s1 |
9744d2 |
9744.s |
9744d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.392407137$ |
$1$ |
|
$11$ |
$6144$ |
$0.696991$ |
$62214547250/9323181$ |
$0.89190$ |
$3.53626$ |
$[0, 1, 0, -1048, -11596]$ |
\(y^2=x^3+x^2-1048x-11596\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(-22, 36)]$ |
| 9744.s2 |
9744d1 |
9744.s |
9744d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 29 \) |
\( - 2^{10} \cdot 3^{4} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$0.784814275$ |
$1$ |
|
$7$ |
$3072$ |
$0.350418$ |
$150381500/476847$ |
$0.85500$ |
$2.96803$ |
$[0, 1, 0, 112, -924]$ |
\(y^2=x^3+x^2+112x-924\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(10, 36)]$ |
