| 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 |
| 424830.g1 |
424830g2 |
424830.g |
424830g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.608439067$ |
$1$ |
|
$2$ |
$2939328$ |
$1.725492$ |
$-12242088317612041/600$ |
$1.01454$ |
$4.03322$ |
$[1, 1, 0, -768023, 258745677]$ |
\(y^2+xy=x^3+x^2-768023x+258745677\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0.d.1, 168.16.0.? |
$[(511, -43)]$ |
| 424830.s1 |
424830s2 |
424830.s |
424830s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$278.0170605$ |
$1$ |
|
$0$ |
$349780032$ |
$4.115051$ |
$-12242088317612041/600$ |
$1.01454$ |
$6.24588$ |
$[1, 1, 0, -10875981078, -436571405239668]$ |
\(y^2+xy=x^3+x^2-10875981078x-436571405239668\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.1, 408.16.0.? |
$[(8243155377459577448466637684705411130049390553029143391522486604101973839189200669177075677661510806665506434723494738329/8232840652341921006042308501854010949553594427673552938768, 3474972445126811645515999011006740684523282546462424174632324948759784613202184862660557680763697946119626814792108665256429574366738002122505069647793414320476983482316697266012309/8232840652341921006042308501854010949553594427673552938768)]$ |
| 424830.dt1 |
424830dt2 |
424830.dt |
424830dt |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$20575296$ |
$2.698448$ |
$-12242088317612041/600$ |
$1.01454$ |
$4.93415$ |
$[1, 0, 1, -37633153, -88862666644]$ |
\(y^2+xy+y=x^3-37633153x-88862666644\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[ ]$ |
| 424830.ej1 |
424830ej2 |
424830.ej |
424830ej |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$49968576$ |
$3.142097$ |
$-12242088317612041/600$ |
$1.01454$ |
$5.34495$ |
$[1, 0, 1, -221958798, 1272771222328]$ |
\(y^2+xy+y=x^3-221958798x+1272771222328\) |
3.4.0.a.1, 24.8.0.d.1, 357.8.0.?, 2856.16.0.? |
$[ ]$ |
