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.q2 |
51870l2 |
51870.q |
51870l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$41496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1769472$ |
$2.403690$ |
$48007406511374545940041/21046460496456622500$ |
$0.97310$ |
$4.81054$ |
$[1, 1, 0, -757172, -125182116]$ |
\(y^2+xy=x^3+x^2-757172x-125182116\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 456.24.0.?, $\ldots$ |
$[]$ |
155610.cz2 |
155610bo2 |
155610.cz |
155610bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$41496$ |
$48$ |
$0$ |
$9.557815055$ |
$1$ |
|
$2$ |
$14155776$ |
$2.952999$ |
$48007406511374545940041/21046460496456622500$ |
$0.97310$ |
$4.91985$ |
$[1, -1, 1, -6814553, 3373102581]$ |
\(y^2+xy+y=x^3-x^2-6814553x+3373102581\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 228.12.0.?, 456.24.0.?, 1092.12.0.?, $\ldots$ |
$[(2693/4, 3017439/4)]$ |
259350.gy2 |
259350gy2 |
259350.gy |
259350gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$207480$ |
$48$ |
$0$ |
$10.07163027$ |
$1$ |
|
$2$ |
$42467328$ |
$3.208408$ |
$48007406511374545940041/21046460496456622500$ |
$0.97310$ |
$4.96411$ |
$[1, 0, 0, -18929313, -15609905883]$ |
\(y^2+xy=x^3-18929313x-15609905883\) |
2.6.0.a.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, 1820.12.0.?, $\ldots$ |
$[(3077142/19, 4532823951/19)]$ |
363090.dd2 |
363090dd2 |
363090.dd |
363090dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{12} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$41496$ |
$48$ |
$0$ |
$4.587459165$ |
$1$ |
|
$4$ |
$84934656$ |
$3.376648$ |
$48007406511374545940041/21046460496456622500$ |
$0.97310$ |
$4.99134$ |
$[1, 0, 1, -37101454, 42826161452]$ |
\(y^2+xy+y=x^3-37101454x+42826161452\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 168.12.0.?, 456.12.0.?, 532.12.0.?, $\ldots$ |
$[(-4346, 351440)]$ |
414960.gx2 |
414960gx2 |
414960.gx |
414960gx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$41496$ |
$48$ |
$0$ |
$1.480920261$ |
$1$ |
|
$31$ |
$42467328$ |
$3.096840$ |
$48007406511374545940041/21046460496456622500$ |
$0.97310$ |
$4.68025$ |
$[0, 1, 0, -12114760, 7987425908]$ |
\(y^2=x^3+x^2-12114760x+7987425908\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 76.12.0.?, 364.12.0.?, 456.24.0.?, $\ldots$ |
$[(4606, 223440), (3143, 31122)]$ |