| 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.q4 |
51870l3 |
51870.q |
51870l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 7^{3} \cdot 13 \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3538944$ |
$2.750263$ |
$1914926099034582908751959/1480375683617401784850$ |
$0.98765$ |
$5.15007$ |
$[1, 1, 0, 2587078, -927133266]$ |
\(y^2+xy=x^3+x^2+2587078x-927133266\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 152.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
| 155610.cz4 |
155610bo3 |
155610.cz |
155610bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7^{3} \cdot 13 \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$41496$ |
$48$ |
$0$ |
$19.11563011$ |
$4$ |
$2$ |
$0$ |
$28311552$ |
$3.299572$ |
$1914926099034582908751959/1480375683617401784850$ |
$0.98765$ |
$5.22817$ |
$[1, -1, 1, 23283697, 25055881881]$ |
\(y^2+xy+y=x^3-x^2+23283697x+25055881881\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 456.24.0.?, 1092.12.0.?, $\ldots$ |
$[(518656157/172, 12232719772173/172)]$ |
| 259350.gy4 |
259350gy4 |
259350.gy |
259350gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3 \cdot 5^{8} \cdot 7^{3} \cdot 13 \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$20.14326055$ |
$4$ |
$2$ |
$0$ |
$84934656$ |
$3.554985$ |
$1914926099034582908751959/1480375683617401784850$ |
$0.98765$ |
$5.25980$ |
$[1, 0, 0, 64676937, -116021012133]$ |
\(y^2+xy=x^3+64676937x-116021012133\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 456.12.0.?, 760.12.0.?, $\ldots$ |
$[(5607333793/912, 597814702316617/912)]$ |
| 363090.dd4 |
363090dd3 |
363090.dd |
363090dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 7^{9} \cdot 13 \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$9.174918330$ |
$1$ |
|
$0$ |
$169869312$ |
$3.723221$ |
$1914926099034582908751959/1480375683617401784850$ |
$0.98765$ |
$5.27926$ |
$[1, 0, 1, 126766796, 318387010652]$ |
\(y^2+xy+y=x^3+126766796x+318387010652\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 168.12.0.?, 456.12.0.?, $\ldots$ |
$[(7636234/15, 22256860543/15)]$ |
| 414960.gx4 |
414960gx3 |
414960.gx |
414960gx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 7^{3} \cdot 13 \cdot 19^{12} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$5.923681046$ |
$1$ |
|
$7$ |
$84934656$ |
$3.443413$ |
$1914926099034582908751959/1480375683617401784850$ |
$0.98765$ |
$4.96520$ |
$[0, 1, 0, 41393240, 59419315508]$ |
\(y^2=x^3+x^2+41393240x+59419315508\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 152.12.0.?, 364.12.0.?, $\ldots$ |
$[(1876, 379050), (-10913/3, 2329894/3)]$ |
