| 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.q3 |
51870l1 |
51870.q |
51870l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.057117$ |
$29630650678461777740041/15483292256250000$ |
$0.95864$ |
$4.76610$ |
$[1, 1, 0, -644672, -199409616]$ |
\(y^2+xy=x^3+x^2-644672x-199409616\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 76.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
| 155610.cz3 |
155610bo1 |
155610.cz |
155610bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$41496$ |
$48$ |
$0$ |
$4.778907527$ |
$1$ |
|
$3$ |
$7077888$ |
$2.606422$ |
$29630650678461777740041/15483292256250000$ |
$0.95864$ |
$4.87948$ |
$[1, -1, 1, -5802053, 5378257581]$ |
\(y^2+xy+y=x^3-x^2-5802053x+5378257581\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 228.12.0.?, 456.24.0.?, $\ldots$ |
$[(1223, 9900)]$ |
| 259350.gy3 |
259350gy1 |
259350.gy |
259350gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{3} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$5.035815139$ |
$1$ |
|
$3$ |
$21233664$ |
$2.861835$ |
$29630650678461777740041/15483292256250000$ |
$0.95864$ |
$4.92540$ |
$[1, 0, 0, -16116813, -24893968383]$ |
\(y^2+xy=x^3-16116813x-24893968383\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, $\ldots$ |
$[(8472, 664089)]$ |
| 363090.dd3 |
363090dd1 |
363090.dd |
363090dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{9} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$2.293729582$ |
$1$ |
|
$5$ |
$42467328$ |
$3.030071$ |
$29630650678461777740041/15483292256250000$ |
$0.95864$ |
$4.95364$ |
$[1, 0, 1, -31588954, 68302731452]$ |
\(y^2+xy+y=x^3-31588954x+68302731452\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 168.12.0.?, 456.12.0.?, $\ldots$ |
$[(3154, 5405)]$ |
| 414960.gx3 |
414960gx1 |
414960.gx |
414960gx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$0.370230065$ |
$1$ |
|
$33$ |
$21233664$ |
$2.750263$ |
$29630650678461777740041/15483292256250000$ |
$0.95864$ |
$4.64295$ |
$[0, 1, 0, -10314760, 12741585908]$ |
\(y^2=x^3+x^2-10314760x+12741585908\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 76.12.0.?, 364.12.0.?, $\ldots$ |
$[(1916, 3990), (1118, 51072)]$ |
