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 |
402270.ce1 |
402270ce8 |
402270.ce |
402270ce |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23 \cdot 53 \) |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{4} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.44 |
2B |
$6436320$ |
$768$ |
$13$ |
$1$ |
$1024$ |
$2$ |
$0$ |
$232783872$ |
$3.987648$ |
$1967086041286883895699567310587409921/4894419090$ |
$1.01240$ |
$6.47582$ |
$[1, 0, 0, -26103568480, -1623298987569490]$ |
\(y^2+xy=x^3-26103568480x-1623298987569490\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 264.48.0.?, $\ldots$ |
$[]$ |
402270.ce3 |
402270ce7 |
402270.ce |
402270ce |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23 \cdot 53 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 11 \cdot 23^{16} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.44 |
2B |
$6436320$ |
$768$ |
$13$ |
$1$ |
$1024$ |
$2$ |
$0$ |
$232783872$ |
$3.987648$ |
$-480168393520684593699023954224321/107259356170260666370327890$ |
$1.02149$ |
$5.83129$ |
$[1, 0, 0, -1631385580, -25367003697310]$ |
\(y^2+xy=x^3-1631385580x-25367003697310\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 264.48.0.?, $\ldots$ |
$[]$ |
447330.cv1 |
447330cv8 |
447330.cv |
447330cv |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \cdot 37 \) |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 31^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.44 |
2B |
$7157280$ |
$768$ |
$13$ |
$1$ |
$1024$ |
$2$ |
$0$ |
$880803840$ |
$4.547096$ |
$2541202004362280513777612137989837711361/53305632120$ |
$1.02382$ |
$6.97357$ |
$[1, 0, 0, -284296704640, -58345320317497720]$ |
\(y^2+xy=x^3-284296704640x-58345320317497720\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 120.48.0.?, $\ldots$ |
$[]$ |
447330.cv3 |
447330cv7 |
447330.cv |
447330cv |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \cdot 37 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 31^{16} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.44 |
2B |
$7157280$ |
$768$ |
$13$ |
$1$ |
$1024$ |
$2$ |
$0$ |
$880803840$ |
$4.547096$ |
$-620380415613717203478802928936674561/41986862587247533428179923320$ |
$1.00887$ |
$6.33429$ |
$[1, 0, 0, -17768255440, -911677835353480]$ |
\(y^2+xy=x^3-17768255440x-911677835353480\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 120.48.0.?, $\ldots$ |
$[]$ |
132826607.b1 |
- |
132826607.b |
- |
$1$ |
$1$ |
\( 132826607 \) |
\( -132826607 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$265653214$ |
$2$ |
$0$ |
$1$ |
$1024$ |
$2$ |
$0$ |
|
$4.136086$ |
$-20357525016977168717543448496884515625/132826607$ |
$0.95968$ |
$4.59281$ |
$[1, -1, 0, -56885348317, -5222128610262208]$ |
\(y^2+xy=x^3-x^2-56885348317x-5222128610262208\) |
265653214.2.0.? |
$[]$ |