| 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 |
| 4830.o4 |
4830q4 |
4830.o |
4830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$0.233881555$ |
$1$ |
|
$22$ |
$122880$ |
$2.289242$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98613$ |
$[1, 0, 1, 28517, 122968118]$ |
\(y^2+xy+y=x^3+28517x+122968118\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 552.24.0.?, 2760.48.0.? |
$[(-221, 10400)]$ |
| 14490.bo4 |
14490bp4 |
14490.bo |
14490bp |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$2.838547$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98772$ |
$[1, -1, 1, 256657, -3320139193]$ |
\(y^2+xy+y=x^3-x^2+256657x-3320139193\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$ |
$[]$ |
| 24150.bl4 |
24150bn3 |
24150.bl |
24150bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{11} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2949120$ |
$3.093960$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98834$ |
$[1, 1, 1, 712937, 15371014781]$ |
\(y^2+xy+y=x^3+x^2+712937x+15371014781\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 552.24.0.?, 2760.48.0.? |
$[]$ |
| 33810.c4 |
33810m3 |
33810.c |
33810m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{5} \cdot 7^{14} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$4.394277926$ |
$1$ |
|
$4$ |
$5898240$ |
$3.262196$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98872$ |
$[1, 1, 0, 1397357, -42176667203]$ |
\(y^2+xy=x^3+x^2+1397357x-42176667203\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$ |
$[(3387, 36061)]$ |
| 38640.be4 |
38640bv3 |
38640.be |
38640bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$4.424765079$ |
$1$ |
|
$3$ |
$2949120$ |
$2.982388$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.59511$ |
$[0, -1, 0, 456280, -7869959568]$ |
\(y^2=x^3-x^2+456280x-7869959568\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 552.24.0.?, 2760.48.0.? |
$[(1994, 31050)]$ |
| 72450.z4 |
72450bh3 |
72450.z |
72450bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{11} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$5.314921947$ |
$1$ |
|
$2$ |
$23592960$ |
$3.643265$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98949$ |
$[1, -1, 0, 6416433, -415010982659]$ |
\(y^2+xy=x^3-x^2+6416433x-415010982659\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$ |
$[(59354, 14429273)]$ |
| 101430.fj4 |
101430ey3 |
101430.fj |
101430ey |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{5} \cdot 7^{14} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.933747400$ |
$1$ |
|
$6$ |
$47185920$ |
$3.811501$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98980$ |
$[1, -1, 1, 12576208, 1138782590691]$ |
\(y^2+xy+y=x^3-x^2+12576208x+1138782590691\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 84.12.0.?, 420.24.0.?, $\ldots$ |
$[(671, 1070889)]$ |
| 111090.x4 |
111090w3 |
111090.x |
111090w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$17.10421496$ |
$1$ |
|
$0$ |
$64880640$ |
$3.856987$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.98988$ |
$[1, 0, 1, 15085746, -1496122923248]$ |
\(y^2+xy+y=x^3+15085746x-1496122923248\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 92.12.0.?, $\ldots$ |
$[(2755325393/89, 144514203224793/89)]$ |
| 115920.e4 |
115920df3 |
115920.e |
115920df |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{10} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$3.531693$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.63325$ |
$[0, 0, 0, 4106517, 212484801818]$ |
\(y^2=x^3+4106517x+212484801818\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$ |
$[]$ |
| 154560.bx4 |
154560ho3 |
154560.bx |
154560ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$2.959245929$ |
$1$ |
|
$5$ |
$23592960$ |
$3.328960$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.29401$ |
$[0, -1, 0, 1825119, 62957851425]$ |
\(y^2=x^3-x^2+1825119x+62957851425\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$ |
$[(1971, 272412)]$ |
| 154560.ej4 |
154560bw4 |
154560.ej |
154560bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{4} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$9.941759497$ |
$1$ |
|
$1$ |
$23592960$ |
$3.328960$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.29401$ |
$[0, 1, 0, 1825119, -62957851425]$ |
\(y^2=x^3+x^2+1825119x-62957851425\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$ |
$[(35039679/29, 207436258176/29)]$ |
| 169050.hd4 |
169050w4 |
169050.hd |
169050w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{11} \cdot 7^{14} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141557760$ |
$4.066917$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.99023$ |
$[1, 0, 0, 34933912, -5272153268208]$ |
\(y^2+xy=x^3+34933912x-5272153268208\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$ |
$[]$ |
| 193200.hm4 |
193200bs4 |
193200.hm |
193200bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{11} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$7.571975101$ |
$1$ |
|
$5$ |
$70778880$ |
$3.787106$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.64864$ |
$[0, 1, 0, 11406992, -983722132012]$ |
\(y^2=x^3+x^2+11406992x-983722132012\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 552.24.0.?, 2760.48.0.? |
$[(1811468, 2438073750)]$ |
| 270480.gw4 |
270480gw3 |
270480.gw |
270480gw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{5} \cdot 7^{14} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$141557760$ |
$3.955341$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.65810$ |
$[0, 1, 0, 22357704, 2699351416404]$ |
\(y^2=x^3+x^2+22357704x+2699351416404\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$ |
$[]$ |
| 333270.ec4 |
333270ec3 |
333270.ec |
333270ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{5} \cdot 7^{8} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$3.055454763$ |
$1$ |
|
$4$ |
$519045120$ |
$4.406296$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.99075$ |
$[1, -1, 1, 135771718, 40395318927689]$ |
\(y^2+xy+y=x^3-x^2+135771718x+40395318927689\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0.h.1, 40.24.0-20.h.1.5, $\ldots$ |
$[(15627, 6799021)]$ |
| 463680.kq4 |
463680kq3 |
463680.kq |
463680kq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{10} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1.744926178$ |
$1$ |
|
$3$ |
$188743680$ |
$3.878269$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.35346$ |
$[0, 0, 0, 16426068, 1699878414544]$ |
\(y^2=x^3+16426068x+1699878414544\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(22058, 3576960)]$ |
| 463680.lo4 |
463680lo4 |
463680.lo |
463680lo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{10} \cdot 5^{5} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$188743680$ |
$3.878269$ |
$2564821295690373719/6533572090396050000$ |
$1.05786$ |
$5.35346$ |
$[0, 0, 0, 16426068, -1699878414544]$ |
\(y^2=x^3+16426068x-1699878414544\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
