| 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.y2 |
51870bd6 |
51870.y |
51870bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$207480$ |
$384$ |
$5$ |
$7.509011346$ |
$1$ |
|
$2$ |
$3981312$ |
$2.925690$ |
$12240533203187013248735018809/3506282465049000000$ |
$0.99880$ |
$5.95722$ |
$[1, 0, 1, -48013004, -128055986998]$ |
\(y^2+xy+y=x^3-48013004x-128055986998\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 52.12.0-2.a.1.1, 120.96.0.?, $\ldots$ |
$[(-64011/4, 116605/4)]$ |
| 155610.fe2 |
155610j6 |
155610.fe |
155610j |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$207480$ |
$384$ |
$5$ |
$5.155600453$ |
$1$ |
|
$14$ |
$31850496$ |
$3.474995$ |
$12240533203187013248735018809/3506282465049000000$ |
$0.99880$ |
$5.96115$ |
$[1, -1, 1, -432117032, 3457511648939]$ |
\(y^2+xy+y=x^3-x^2-432117032x+3457511648939\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 40.12.0-2.a.1.1, 120.96.0.?, $\ldots$ |
$[(23997, 2616001)]$ |
| 259350.ek2 |
259350ek6 |
259350.ek |
259350ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$207480$ |
$384$ |
$5$ |
$5.912040048$ |
$1$ |
|
$4$ |
$95551488$ |
$3.730408$ |
$12240533203187013248735018809/3506282465049000000$ |
$0.99880$ |
$5.96274$ |
$[1, 1, 1, -1200325088, -16006998374719]$ |
\(y^2+xy+y=x^3+x^2-1200325088x-16006998374719\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0-6.a.1.2, $\ldots$ |
$[(53039, 8312447)]$ |
| 363090.bn2 |
363090bn6 |
363090.bn |
363090bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7^{8} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$207480$ |
$384$ |
$5$ |
$3.055906169$ |
$1$ |
|
$8$ |
$191102976$ |
$3.898643$ |
$12240533203187013248735018809/3506282465049000000$ |
$0.99880$ |
$5.96372$ |
$[1, 1, 0, -2352637172, 43920850903056]$ |
\(y^2+xy=x^3+x^2-2352637172x+43920850903056\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.2, 42.48.0-6.a.1.2, $\ldots$ |
$[(28027, -8011)]$ |
| 414960.p2 |
414960p6 |
414960.p |
414960p |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$207480$ |
$384$ |
$5$ |
$6.738139166$ |
$1$ |
|
$3$ |
$95551488$ |
$3.618835$ |
$12240533203187013248735018809/3506282465049000000$ |
$0.99880$ |
$5.64260$ |
$[0, -1, 0, -768208056, 8195583167856]$ |
\(y^2=x^3-x^2-768208056x+8195583167856\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.7, 52.12.0-2.a.1.1, $\ldots$ |
$[(246561/4, 8255625/4)]$ |
