| 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.p2 |
51870p2 |
51870.p |
51870p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$0.450186823$ |
$1$ |
|
$8$ |
$512000$ |
$1.632635$ |
$-11516856136356002041/1201114687500000$ |
$0.92721$ |
$4.05804$ |
$[1, 1, 0, -47047, 4247509]$ |
\(y^2+xy=x^3+x^2-47047x+4247509\) |
2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.? |
$[(153, 736)]$ |
| 155610.db2 |
155610bp2 |
155610.db |
155610bp |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{5} \cdot 3^{8} \cdot 5^{10} \cdot 7 \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4096000$ |
$2.181942$ |
$-11516856136356002041/1201114687500000$ |
$0.92721$ |
$4.23649$ |
$[1, -1, 1, -423428, -115106169]$ |
\(y^2+xy+y=x^3-x^2-423428x-115106169\) |
2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.? |
$[]$ |
| 259350.gz2 |
259350gz2 |
259350.gz |
259350gz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{16} \cdot 7 \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288000$ |
$2.437355$ |
$-11516856136356002041/1201114687500000$ |
$0.92721$ |
$4.30876$ |
$[1, 0, 0, -1176188, 533290992]$ |
\(y^2+xy=x^3-1176188x+533290992\) |
2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.? |
$[]$ |
| 363090.de2 |
363090de2 |
363090.de |
363090de |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{10} \cdot 7^{7} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$24576000$ |
$2.605591$ |
$-11516856136356002041/1201114687500000$ |
$0.92721$ |
$4.35321$ |
$[1, 0, 1, -2305329, -1463811548]$ |
\(y^2+xy+y=x^3-2305329x-1463811548\) |
2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.? |
$[]$ |
| 414960.gv2 |
414960gv2 |
414960.gv |
414960gv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{10} \cdot 7 \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$2.698286318$ |
$1$ |
|
$5$ |
$12288000$ |
$2.325783$ |
$-11516856136356002041/1201114687500000$ |
$0.92721$ |
$4.04871$ |
$[0, 1, 0, -752760, -273346092]$ |
\(y^2=x^3+x^2-752760x-273346092\) |
2.3.0.a.1, 56.6.0.b.1, 14820.6.0.?, 207480.12.0.? |
$[(2636, 126750)]$ |
