| 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.e1 |
51870b4 |
51870.e |
51870b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$655360$ |
$1.995543$ |
$5549896908024170183373529/56019600$ |
$0.97668$ |
$5.24809$ |
$[1, 1, 0, -3688533, -2728182627]$ |
\(y^2+xy=x^3+x^2-3688533x-2728182627\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$ |
$[]$ |
| 155610.eh1 |
155610u3 |
155610.eh |
155610u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$41496$ |
$48$ |
$0$ |
$0.957416275$ |
$4$ |
$2$ |
$6$ |
$5242880$ |
$2.544849$ |
$5549896908024170183373529/56019600$ |
$0.97668$ |
$5.31718$ |
$[1, -1, 1, -33196802, 73627734129]$ |
\(y^2+xy+y=x^3-x^2-33196802x+73627734129\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$ |
$[(3347, 351)]$ |
| 259350.gr1 |
259350gr4 |
259350.gr |
259350gr |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15728640$ |
$2.800262$ |
$5549896908024170183373529/56019600$ |
$0.97668$ |
$5.34516$ |
$[1, 0, 0, -92213338, -340838401708]$ |
\(y^2+xy=x^3-92213338x-340838401708\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 363090.ds1 |
363090ds3 |
363090.ds |
363090ds |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 13 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$3.727261194$ |
$1$ |
|
$2$ |
$31457280$ |
$2.968498$ |
$5549896908024170183373529/56019600$ |
$0.97668$ |
$5.36237$ |
$[1, 0, 1, -180738143, 935224426658]$ |
\(y^2+xy+y=x^3-180738143x+935224426658\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 168.12.0.?, 312.12.0.?, $\ldots$ |
$[(7782, -800)]$ |
| 414960.fp1 |
414960fp3 |
414960.fp |
414960fp |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15728640$ |
$2.688690$ |
$5549896908024170183373529/56019600$ |
$0.97668$ |
$5.04746$ |
$[0, 1, 0, -59016536, 174485655060]$ |
\(y^2=x^3+x^2-59016536x+174485655060\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[]$ |
