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 |
51870.bh2 |
51870bj1 |
51870.bh |
51870bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{14} \cdot 7^{3} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18289152$ |
$3.552639$ |
$-572975621510210833793129957161/3853924401600000000000000$ |
$1.00838$ |
$6.31255$ |
$[1, 0, 1, -173036403, -881192396402]$ |
\(y^2+xy+y=x^3-173036403x-881192396402\) |
2.3.0.a.1, 520.6.0.?, 798.6.0.?, 207480.12.0.? |
$[]$ |
155610.dn2 |
155610bv1 |
155610.dn |
155610bv |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3^{13} \cdot 5^{14} \cdot 7^{3} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$146313216$ |
$4.101944$ |
$-572975621510210833793129957161/3853924401600000000000000$ |
$1.00838$ |
$6.28383$ |
$[1, -1, 1, -1557327623, 23792194702847]$ |
\(y^2+xy+y=x^3-x^2-1557327623x+23792194702847\) |
2.3.0.a.1, 520.6.0.?, 798.6.0.?, 207480.12.0.? |
$[]$ |
259350.ex2 |
259350ex1 |
259350.ex |
259350ex |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{20} \cdot 7^{3} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$7.368445607$ |
$1$ |
|
$1$ |
$438939648$ |
$4.357361$ |
$-572975621510210833793129957161/3853924401600000000000000$ |
$1.00838$ |
$6.27220$ |
$[1, 1, 1, -4325910063, -110149049550219]$ |
\(y^2+xy+y=x^3+x^2-4325910063x-110149049550219\) |
2.3.0.a.1, 520.6.0.?, 798.6.0.?, 207480.12.0.? |
$[(935635/3, 639636934/3)]$ |
363090.d2 |
363090d1 |
363090.d |
363090d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{14} \cdot 7^{9} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$10.32603728$ |
$1$ |
|
$3$ |
$877879296$ |
$4.525597$ |
$-572975621510210833793129957161/3853924401600000000000000$ |
$1.00838$ |
$6.26505$ |
$[1, 1, 0, -8478783723, 302240513182077]$ |
\(y^2+xy=x^3+x^2-8478783723x+302240513182077\) |
2.3.0.a.1, 520.6.0.?, 798.6.0.?, 207480.12.0.? |
$[(920429, 878332711)]$ |
414960.ea2 |
414960ea1 |
414960.ea |
414960ea |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{30} \cdot 3^{7} \cdot 5^{14} \cdot 7^{3} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$438939648$ |
$4.245789$ |
$-572975621510210833793129957161/3853924401600000000000000$ |
$1.00838$ |
$5.94081$ |
$[0, -1, 0, -2768582440, 56396313369712]$ |
\(y^2=x^3-x^2-2768582440x+56396313369712\) |
2.3.0.a.1, 520.6.0.?, 798.6.0.?, 207480.12.0.? |
$[]$ |