| 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 |
| 6440.b2 |
6440h2 |
6440.b |
6440h |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$2.685560422$ |
$1$ |
|
$3$ |
$2048$ |
$0.305776$ |
$219804478/129605$ |
$0.84524$ |
$3.05952$ |
$[0, 1, 0, 160, 160]$ |
\(y^2=x^3+x^2+160x+160\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(3, 26)]$ |
| 12880.y2 |
12880k2 |
12880.y |
12880k |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.305776$ |
$219804478/129605$ |
$0.84524$ |
$2.83543$ |
$[0, -1, 0, 160, -160]$ |
\(y^2=x^3-x^2+160x-160\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 32200.x2 |
32200j2 |
32200.x |
32200j |
$2$ |
$2$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$8.732115927$ |
$1$ |
|
$1$ |
$49152$ |
$1.110495$ |
$219804478/129605$ |
$0.84524$ |
$3.51546$ |
$[0, -1, 0, 3992, 12012]$ |
\(y^2=x^3-x^2+3992x+12012\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(5077/21, 2256400/21)]$ |
| 45080.bb2 |
45080u2 |
45080.bb |
45080u |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$10.37637134$ |
$1$ |
|
$1$ |
$98304$ |
$1.278730$ |
$219804478/129605$ |
$0.84524$ |
$3.59347$ |
$[0, -1, 0, 7824, -39220]$ |
\(y^2=x^3-x^2+7824x-39220\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(31729/3, 5652746/3)]$ |
| 51520.h2 |
51520by2 |
51520.h |
51520by |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$2.328428417$ |
$1$ |
|
$13$ |
$32768$ |
$0.652349$ |
$219804478/129605$ |
$0.84524$ |
$2.85645$ |
$[0, 1, 0, 639, -641]$ |
\(y^2=x^3+x^2+639x-641\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(47, 368), (687, 18032)]$ |
| 51520.cc2 |
51520f2 |
51520.cc |
51520f |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$4.945308296$ |
$1$ |
|
$1$ |
$32768$ |
$0.652349$ |
$219804478/129605$ |
$0.84524$ |
$2.85645$ |
$[0, -1, 0, 639, 641]$ |
\(y^2=x^3-x^2+639x+641\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(91/3, 2420/3)]$ |
| 57960.j2 |
57960m2 |
57960.j |
57960m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$4.483770388$ |
$1$ |
|
$3$ |
$49152$ |
$0.855082$ |
$219804478/129605$ |
$0.84524$ |
$3.04760$ |
$[0, 0, 0, 1437, -2882]$ |
\(y^2=x^3+1437x-2882\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(66, 616)]$ |
| 64400.d2 |
64400e2 |
64400.d |
64400e |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$2.060664139$ |
$1$ |
|
$5$ |
$98304$ |
$1.110495$ |
$219804478/129605$ |
$0.84524$ |
$3.29540$ |
$[0, 1, 0, 3992, -12012]$ |
\(y^2=x^3+x^2+3992x-12012\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(28, 350)]$ |
| 90160.e2 |
90160t2 |
90160.e |
90160t |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1.141472001$ |
$1$ |
|
$7$ |
$196608$ |
$1.278730$ |
$219804478/129605$ |
$0.84524$ |
$3.37516$ |
$[0, 1, 0, 7824, 39220]$ |
\(y^2=x^3+x^2+7824x+39220\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(44, 686)]$ |
| 115920.bu2 |
115920u2 |
115920.bu |
115920u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$2.957033314$ |
$1$ |
|
$5$ |
$98304$ |
$0.855082$ |
$219804478/129605$ |
$0.84524$ |
$2.86644$ |
$[0, 0, 0, 1437, 2882]$ |
\(y^2=x^3+1437x+2882\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(-1, 38)]$ |
| 148120.g2 |
148120h2 |
148120.g |
148120h |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1081344$ |
$1.873524$ |
$219804478/129605$ |
$0.84524$ |
$3.83392$ |
$[0, 1, 0, 84464, -1270560]$ |
\(y^2=x^3+x^2+84464x-1270560\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 225400.q2 |
225400bq2 |
225400.q |
225400bq |
$2$ |
$2$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$4.054784517$ |
$1$ |
|
$3$ |
$2359296$ |
$2.083450$ |
$219804478/129605$ |
$0.84524$ |
$3.90771$ |
$[0, 1, 0, 195592, -4511312]$ |
\(y^2=x^3+x^2+195592x-4511312\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(807, 26068)]$ |
| 257600.bc2 |
257600bc2 |
257600.bc |
257600bc |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$0.958680911$ |
$1$ |
|
$7$ |
$786432$ |
$1.457067$ |
$219804478/129605$ |
$0.84524$ |
$3.26253$ |
$[0, 1, 0, 15967, 112063]$ |
\(y^2=x^3+x^2+15967x+112063\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(3, 400)]$ |
| 257600.ff2 |
257600ff2 |
257600.ff |
257600ff |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.457067$ |
$219804478/129605$ |
$0.84524$ |
$3.26253$ |
$[0, -1, 0, 15967, -112063]$ |
\(y^2=x^3-x^2+15967x-112063\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 289800.ds2 |
289800ds2 |
289800.ds |
289800ds |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.659801$ |
$219804478/129605$ |
$0.84524$ |
$3.42541$ |
$[0, 0, 0, 35925, -360250]$ |
\(y^2=x^3+35925x-360250\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 296240.db2 |
296240db2 |
296240.db |
296240db |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$1.873524$ |
$219804478/129605$ |
$0.84524$ |
$3.62299$ |
$[0, -1, 0, 84464, 1270560]$ |
\(y^2=x^3-x^2+84464x+1270560\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 360640.bq2 |
360640bq2 |
360640.bq |
360640bq |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$4.498031817$ |
$1$ |
|
$5$ |
$1572864$ |
$1.625305$ |
$219804478/129605$ |
$0.84524$ |
$3.33451$ |
$[0, 1, 0, 31295, -282465]$ |
\(y^2=x^3+x^2+31295x-282465\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(13, 356)]$ |
| 360640.ig2 |
360640ig2 |
360640.ig |
360640ig |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1.677530250$ |
$4$ |
$2$ |
$3$ |
$1572864$ |
$1.625305$ |
$219804478/129605$ |
$0.84524$ |
$3.33451$ |
$[0, -1, 0, 31295, 282465]$ |
\(y^2=x^3-x^2+31295x+282465\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(117, 2352)]$ |
| 405720.fe2 |
405720fe2 |
405720.fe |
405720fe |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$8.857143075$ |
$1$ |
|
$1$ |
$2359296$ |
$1.828037$ |
$219804478/129605$ |
$0.84524$ |
$3.49249$ |
$[0, 0, 0, 70413, 988526]$ |
\(y^2=x^3+70413x+988526\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(5650/3, 461852/3)]$ |
| 450800.gb2 |
450800gb2 |
450800.gb |
450800gb |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.083450$ |
$219804478/129605$ |
$0.84524$ |
$3.69965$ |
$[0, -1, 0, 195592, 4511312]$ |
\(y^2=x^3-x^2+195592x+4511312\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 463680.iy2 |
463680iy2 |
463680.iy |
463680iy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.201656$ |
$219804478/129605$ |
$0.84524$ |
$2.88063$ |
$[0, 0, 0, 5748, -23056]$ |
\(y^2=x^3+5748x-23056\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[]$ |
| 463680.mm2 |
463680mm2 |
463680.mm |
463680mm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6440$ |
$12$ |
$0$ |
$5.785634779$ |
$1$ |
|
$3$ |
$786432$ |
$1.201656$ |
$219804478/129605$ |
$0.84524$ |
$2.88063$ |
$[0, 0, 0, 5748, 23056]$ |
\(y^2=x^3+5748x+23056\) |
2.3.0.a.1, 40.6.0.a.1, 644.6.0.?, 6440.12.0.? |
$[(285, 4981)]$ |
