| 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 |
| 5160.n3 |
5160m2 |
5160.n |
5160m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8448$ |
$1.065378$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.74407$ |
$[0, 1, 0, -15480, 736128]$ |
\(y^2=x^3+x^2-15480x+736128\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 860.24.0.?, 5160.48.0.? |
$[]$ |
| 10320.l3 |
10320f2 |
10320.l |
10320f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$4.734830674$ |
$1$ |
|
$5$ |
$16896$ |
$1.065378$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.38826$ |
$[0, -1, 0, -15480, -736128]$ |
\(y^2=x^3-x^2-15480x-736128\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 860.24.0.?, 5160.48.0.? |
$[(2574, 130410)]$ |
| 15480.a3 |
15480b2 |
15480.a |
15480b |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$67584$ |
$1.614685$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.88709$ |
$[0, 0, 0, -139323, -20014778]$ |
\(y^2=x^3-139323x-20014778\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 860.12.0.?, $\ldots$ |
$[]$ |
| 25800.i3 |
25800d2 |
25800.i |
25800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$202752$ |
$1.870098$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.94306$ |
$[0, -1, 0, -387008, 92790012]$ |
\(y^2=x^3-x^2-387008x+92790012\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 30960.m3 |
30960e2 |
30960.m |
30960e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$2.219563428$ |
$1$ |
|
$9$ |
$135168$ |
$1.614685$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.55950$ |
$[0, 0, 0, -139323, 20014778]$ |
\(y^2=x^3-139323x+20014778\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 860.12.0.?, $\ldots$ |
$[(209, 160)]$ |
| 41280.j3 |
41280i2 |
41280.j |
41280i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$135168$ |
$1.411953$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.20718$ |
$[0, -1, 0, -61921, 5950945]$ |
\(y^2=x^3-x^2-61921x+5950945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 860.12.0.?, $\ldots$ |
$[]$ |
| 41280.cg3 |
41280ct2 |
41280.cg |
41280ct |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.843081018$ |
$1$ |
|
$7$ |
$135168$ |
$1.411953$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.20718$ |
$[0, 1, 0, -61921, -5950945]$ |
\(y^2=x^3+x^2-61921x-5950945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 860.12.0.?, $\ldots$ |
$[(341, 3564)]$ |
| 51600.ct3 |
51600u2 |
51600.ct |
51600u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$405504$ |
$1.870098$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.62731$ |
$[0, 1, 0, -387008, -92790012]$ |
\(y^2=x^3+x^2-387008x-92790012\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 77400.v3 |
77400bk2 |
77400.v |
77400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1622016$ |
$2.419403$ |
$400649568576484/33698025$ |
$0.94741$ |
$5.04621$ |
$[0, 0, 0, -3483075, -2501847250]$ |
\(y^2=x^3-3483075x-2501847250\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 123840.ew3 |
123840ft2 |
123840.ew |
123840ft |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1081344$ |
$1.961258$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.37514$ |
$[0, 0, 0, -557292, 160118224]$ |
\(y^2=x^3-557292x+160118224\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 860.24.0.?, 5160.48.0.? |
$[]$ |
| 123840.fg3 |
123840cx2 |
123840.fg |
123840cx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1081344$ |
$1.961258$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.37514$ |
$[0, 0, 0, -557292, -160118224]$ |
\(y^2=x^3-557292x-160118224\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 860.24.0.?, 5160.48.0.? |
$[]$ |
| 154800.dx3 |
154800fw2 |
154800.dx |
154800fw |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3244032$ |
$2.419403$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.75351$ |
$[0, 0, 0, -3483075, 2501847250]$ |
\(y^2=x^3-3483075x+2501847250\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 206400.cz3 |
206400eq2 |
206400.cz |
206400eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$11.57179030$ |
$1$ |
|
$3$ |
$3244032$ |
$2.216671$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.44296$ |
$[0, -1, 0, -1548033, -740772063]$ |
\(y^2=x^3-x^2-1548033x-740772063\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(2365183/3, 3637403000/3)]$ |
| 206400.ht3 |
206400ha2 |
206400.ht |
206400ha |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 43^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.856097499$ |
$1$ |
|
$23$ |
$3244032$ |
$2.216671$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.44296$ |
$[0, 1, 0, -1548033, 740772063]$ |
\(y^2=x^3+x^2-1548033x+740772063\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(627, 4128), (-61, 28896)]$ |
| 221880.e3 |
221880bd2 |
221880.e |
221880bd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$3$ |
$15611904$ |
$2.945980$ |
$400649568576484/33698025$ |
$0.94741$ |
$5.12781$ |
$[0, -1, 0, -28623136, -58928049860]$ |
\(y^2=x^3-x^2-28623136x-58928049860\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 252840.q3 |
252840q2 |
252840.q |
252840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$36120$ |
$48$ |
$0$ |
$9.646467696$ |
$1$ |
|
$3$ |
$3244032$ |
$2.038334$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.19846$ |
$[0, -1, 0, -758536, -254008964]$ |
\(y^2=x^3-x^2-758536x-254008964\) |
2.6.0.a.1, 24.12.0.b.1, 28.12.0-2.a.1.1, 168.24.0.?, 860.12.0.?, $\ldots$ |
$[(245430/11, 107706704/11)]$ |
| 443760.by3 |
443760by2 |
443760.by |
443760by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5160$ |
$48$ |
$0$ |
$3.761648590$ |
$1$ |
|
$5$ |
$31223808$ |
$2.945980$ |
$400649568576484/33698025$ |
$0.94741$ |
$4.85446$ |
$[0, 1, 0, -28623136, 58928049860]$ |
\(y^2=x^3+x^2-28623136x+58928049860\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 172.12.0.?, $\ldots$ |
$[(2822, 25200)]$ |
