| 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 |
| 50540.k2 |
50540m1 |
50540.k |
50540m |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$0.565230$ |
$-3538944/60025$ |
$1.03243$ |
$2.77888$ |
$[0, 0, 0, -152, -3971]$ |
\(y^2=x^3-152x-3971\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[]$ |
| 50540.l2 |
50540l1 |
50540.l |
50540l |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$437760$ |
$2.037449$ |
$-3538944/60025$ |
$1.03243$ |
$4.41007$ |
$[0, 0, 0, -54872, 27237089]$ |
\(y^2=x^3-54872x+27237089\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[]$ |
| 202160.bs2 |
202160ba1 |
202160.bs |
202160ba |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$3.242230175$ |
$1$ |
|
$1$ |
$92160$ |
$0.565230$ |
$-3538944/60025$ |
$1.03243$ |
$2.46355$ |
$[0, 0, 0, -152, 3971]$ |
\(y^2=x^3-152x+3971\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(133/3, 1900/3)]$ |
| 202160.bt2 |
202160bb1 |
202160.bt |
202160bb |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$27.63965130$ |
$1$ |
|
$1$ |
$1751040$ |
$2.037449$ |
$-3538944/60025$ |
$1.03243$ |
$3.90964$ |
$[0, 0, 0, -54872, -27237089]$ |
\(y^2=x^3-54872x-27237089\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(15272447360377/50616, 59634753291920206925/50616)]$ |
| 252700.y2 |
252700y1 |
252700.y |
252700y |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$4.190155652$ |
$1$ |
|
$13$ |
$552960$ |
$1.369949$ |
$-3538944/60025$ |
$1.03243$ |
$3.19562$ |
$[0, 0, 0, -3800, -496375]$ |
\(y^2=x^3-3800x-496375\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(340, 6125), (266, 4161)]$ |
| 252700.z2 |
252700z1 |
252700.z |
252700z |
$2$ |
$2$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 19^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$28.72099756$ |
$1$ |
|
$1$ |
$10506240$ |
$2.842171$ |
$-3538944/60025$ |
$1.03243$ |
$4.61577$ |
$[0, 0, 0, -1371800, 3404636125]$ |
\(y^2=x^3-1371800x+3404636125\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(4785/2, 471625/2), (93499/3, 28451132/3)]$ |
| 353780.u2 |
353780u1 |
353780.u |
353780u |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{10} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$2.568968375$ |
$1$ |
|
$3$ |
$1105920$ |
$1.538185$ |
$-3538944/60025$ |
$1.03243$ |
$3.26947$ |
$[0, 0, 0, -7448, 1362053]$ |
\(y^2=x^3-7448x+1362053\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(119, 1470)]$ |
| 353780.v2 |
353780v1 |
353780.v |
353780v |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{10} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$9.095408706$ |
$1$ |
|
$1$ |
$21012480$ |
$3.010406$ |
$-3538944/60025$ |
$1.03243$ |
$4.65222$ |
$[0, 0, 0, -2688728, -9342321527]$ |
\(y^2=x^3-2688728x-9342321527\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(208726/3, 95085235/3)]$ |
| 454860.z2 |
454860z1 |
454860.z |
454860z |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14008320$ |
$2.586758$ |
$-3538944/60025$ |
$1.03243$ |
$4.17225$ |
$[0, 0, 0, -493848, -735401403]$ |
\(y^2=x^3-493848x-735401403\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[]$ |
| 454860.ba2 |
454860ba1 |
454860.ba |
454860ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$5320$ |
$48$ |
$1$ |
$1.035542410$ |
$1$ |
|
$21$ |
$737280$ |
$1.114536$ |
$-3538944/60025$ |
$1.03243$ |
$2.81617$ |
$[0, 0, 0, -1368, 107217]$ |
\(y^2=x^3-1368x+107217\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 38.6.0.b.1, 56.12.0.bo.1, $\ldots$ |
$[(6, 315), (-29, 350)]$ |
