| 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.cs6 |
53130cr3 |
53130.cs |
53130cr |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{12} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$212520$ |
$384$ |
$5$ |
$8.302305540$ |
$9$ |
$3$ |
$3$ |
$3981312$ |
$2.846603$ |
$-92493861830012244531817441/1026419736641091260160$ |
$0.98508$ |
$5.49682$ |
$[1, 0, 0, -9421710, -11238222588]$ |
\(y^2+xy=x^3-9421710x-11238222588\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(9632, 884930)]$ |
| 159390.bf6 |
159390dh3 |
159390.bf |
159390dh |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11^{12} \cdot 23^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$212520$ |
$384$ |
$5$ |
$16.30398110$ |
$1$ |
|
$5$ |
$31850496$ |
$3.395908$ |
$-92493861830012244531817441/1026419736641091260160$ |
$0.98508$ |
$5.54297$ |
$[1, -1, 0, -84795390, 303432009876]$ |
\(y^2+xy=x^3-x^2-84795390x+303432009876\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[(-16540676/65, 208852274938/65)]$ |
| 265650.i6 |
265650i3 |
265650.i |
265650i |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 11^{12} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$212520$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$95551488$ |
$3.651321$ |
$-92493861830012244531817441/1026419736641091260160$ |
$0.98508$ |
$5.56166$ |
$[1, 1, 0, -235542750, -1404777823500]$ |
\(y^2+xy=x^3+x^2-235542750x-1404777823500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[]$ |
| 371910.do6 |
371910do3 |
371910.do |
371910do |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 11^{12} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$212520$ |
$384$ |
$5$ |
$20.00906106$ |
$1$ |
|
$1$ |
$191102976$ |
$3.819557$ |
$-92493861830012244531817441/1026419736641091260160$ |
$0.98508$ |
$5.57316$ |
$[1, 1, 1, -461663791, 3854248683893]$ |
\(y^2+xy+y=x^3+x^2-461663791x+3854248683893\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(2871951691/473, 21381644635794/473)]$ |
| 425040.cr6 |
425040cr3 |
425040.cr |
425040cr |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{12} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$212520$ |
$384$ |
$5$ |
$2.519689022$ |
$1$ |
|
$3$ |
$95551488$ |
$3.539749$ |
$-92493861830012244531817441/1026419736641091260160$ |
$0.98508$ |
$5.25666$ |
$[0, -1, 0, -150747360, 719246245632]$ |
\(y^2=x^3-x^2-150747360x+719246245632\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[(6257, 144716)]$ |
