| 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.y1 |
51870bd8 |
51870.y |
51870bd |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$207480$ |
$384$ |
$5$ |
$15.01802269$ |
$4$ |
$2$ |
$0$ |
$7962624$ |
$3.272263$ |
$50137213659805457275731367898809/4113897879000$ |
$1.01826$ |
$6.72338$ |
$[1, 0, 1, -768208004, -8195392298998]$ |
\(y^2+xy+y=x^3-768208004x-8195392298998\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(28868059/30, 10533537517/30)]$ |
| 155610.fe1 |
155610j7 |
155610.fe |
155610j |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$207480$ |
$384$ |
$5$ |
$10.31120090$ |
$1$ |
|
$4$ |
$63700992$ |
$3.821568$ |
$50137213659805457275731367898809/4113897879000$ |
$1.01826$ |
$6.65690$ |
$[1, -1, 1, -6913872032, 221275592072939]$ |
\(y^2+xy+y=x^3-x^2-6913872032x+221275592072939\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[(816069/4, 71926207/4)]$ |
| 259350.ek1 |
259350ek8 |
259350.ek |
259350ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$11.82408009$ |
$4$ |
$2$ |
$0$ |
$191102976$ |
$4.076981$ |
$50137213659805457275731367898809/4113897879000$ |
$1.01826$ |
$6.62998$ |
$[1, 1, 1, -19205200088, -1024424037374719]$ |
\(y^2+xy+y=x^3+x^2-19205200088x-1024424037374719\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(16136411/7, 57710950459/7)]$ |
| 363090.bn1 |
363090bn7 |
363090.bn |
363090bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$6.111812339$ |
$4$ |
$2$ |
$2$ |
$382205952$ |
$4.245216$ |
$50137213659805457275731367898809/4113897879000$ |
$1.01826$ |
$6.61343$ |
$[1, 1, 0, -37642192172, 2810981916364056]$ |
\(y^2+xy=x^3+x^2-37642192172x+2810981916364056\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(213457, 66990074)]$ |
| 414960.p1 |
414960p7 |
414960.p |
414960p |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{15} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 13^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$207480$ |
$384$ |
$5$ |
$13.47627833$ |
$1$ |
|
$1$ |
$191102976$ |
$3.965412$ |
$50137213659805457275731367898809/4113897879000$ |
$1.01826$ |
$6.28560$ |
$[0, -1, 0, -12291328056, 524505107135856]$ |
\(y^2=x^3-x^2-12291328056x+524505107135856\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[(296011841/68, 1019921095/68)]$ |
