| 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 |
| 53130.cs3 |
53130cr6 |
53130.cs |
53130cr |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$106260$ |
$384$ |
$5$ |
$4.151152770$ |
$9$ |
$3$ |
$8$ |
$7962624$ |
$3.193176$ |
$381872841673941838282574504161/46261712772301395600$ |
$1.04667$ |
$6.26027$ |
$[1, 0, 0, -151146590, -715242391500]$ |
\(y^2+xy=x^3-151146590x-715242391500\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 44.12.0-2.a.1.1, 60.96.0-60.a.2.32, $\ldots$ |
$[(-7098, 3276)]$ |
| 159390.bf3 |
159390dh6 |
159390.bf |
159390dh |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$106260$ |
$384$ |
$5$ |
$8.151990551$ |
$1$ |
|
$12$ |
$63700992$ |
$3.742481$ |
$381872841673941838282574504161/46261712772301395600$ |
$1.04667$ |
$6.23640$ |
$[1, -1, 0, -1360319310, 19311544570500]$ |
\(y^2+xy=x^3-x^2-1360319310x+19311544570500\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 20.12.0-2.a.1.1, 60.96.0-60.a.2.28, $\ldots$ |
$[(-15680, 6072990)]$ |
| 265650.i3 |
265650i6 |
265650.i |
265650i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$191102976$ |
$3.997894$ |
$381872841673941838282574504161/46261712772301395600$ |
$1.04667$ |
$6.22673$ |
$[1, 1, 0, -3778664750, -89405298937500]$ |
\(y^2+xy=x^3+x^2-3778664750x-89405298937500\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 371910.do3 |
371910do6 |
371910.do |
371910do |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$10.00453053$ |
$1$ |
|
$2$ |
$382205952$ |
$4.166130$ |
$381872841673941838282574504161/46261712772301395600$ |
$1.04667$ |
$6.22079$ |
$[1, 1, 1, -7406182911, 245320734101589]$ |
\(y^2+xy+y=x^3+x^2-7406182911x+245320734101589\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.2, 42.48.0-6.a.1.2, $\ldots$ |
$[(5851851/11, 644852250/11)]$ |
| 425040.cr3 |
425040cr6 |
425040.cr |
425040cr |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$106260$ |
$384$ |
$5$ |
$1.259844511$ |
$1$ |
|
$9$ |
$191102976$ |
$3.886322$ |
$381872841673941838282574504161/46261712772301395600$ |
$1.04667$ |
$5.89761$ |
$[0, -1, 0, -2418345440, 45775513056000]$ |
\(y^2=x^3-x^2-2418345440x+45775513056000\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.7, 44.12.0-2.a.1.1, $\ldots$ |
$[(28730, 98670)]$ |
