| 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 |
| 19950.c1 |
19950n2 |
19950.c |
19950n |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{9} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$600000$ |
$2.345268$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.34734$ |
$[1, 1, 0, -933200, 362784000]$ |
\(y^2+xy=x^3+x^2-933200x+362784000\) |
5.24.0-5.a.1.1, 15960.48.1.? |
$[]$ |
| 19950.cz1 |
19950dh2 |
19950.cz |
19950dh |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 7^{5} \cdot 19 \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$15960$ |
$48$ |
$1$ |
$0.588169738$ |
$1$ |
|
$22$ |
$120000$ |
$1.540548$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.37202$ |
$[1, 0, 0, -37328, 2902272]$ |
\(y^2+xy=x^3-37328x+2902272\) |
5.24.0-5.a.1.2, 15960.48.1.? |
$[(112, 304)]$ |
| 59850.de1 |
59850da2 |
59850.de |
59850da |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 3^{11} \cdot 5^{3} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$960000$ |
$2.089855$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.53462$ |
$[1, -1, 0, -335952, -78361344]$ |
\(y^2+xy=x^3-x^2-335952x-78361344\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 5320.24.0.?, 15960.48.1.? |
$[]$ |
| 59850.eq1 |
59850fu2 |
59850.eq |
59850fu |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{15} \cdot 3^{11} \cdot 5^{9} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4800000$ |
$2.894573$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.41253$ |
$[1, -1, 1, -8398805, -9803566803]$ |
\(y^2+xy+y=x^3-x^2-8398805x-9803566803\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 5320.24.0.?, 15960.48.1.? |
$[]$ |
| 139650.cw1 |
139650fm2 |
139650.cw |
139650fm |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{9} \cdot 7^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$8.694374440$ |
$1$ |
|
$2$ |
$28800000$ |
$3.318222$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.45454$ |
$[1, 0, 1, -45726826, -124572092452]$ |
\(y^2+xy+y=x^3-45726826x-124572092452\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 2280.24.0.?, 15960.48.1.? |
$[(62802, 15611536)]$ |
| 139650.ez1 |
139650cy2 |
139650.ez |
139650cy |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 7^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.166794136$ |
$1$ |
|
$4$ |
$5760000$ |
$2.513504$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.63942$ |
$[1, 1, 1, -1829073, -997308369]$ |
\(y^2+xy+y=x^3+x^2-1829073x-997308369\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 2280.24.0.?, 15960.48.1.? |
$[(1791, 37520)]$ |
| 159600.bj1 |
159600dr2 |
159600.bj |
159600dr |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{27} \cdot 3^{5} \cdot 5^{3} \cdot 7^{5} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$16.17094182$ |
$1$ |
|
$4$ |
$2880000$ |
$2.233696$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.30745$ |
$[0, -1, 0, -597248, -185745408]$ |
\(y^2=x^3-x^2-597248x-185745408\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 15960.48.1.? |
$[(1408, 41984), (16768/3, 1940480/3)]$ |
| 159600.gr1 |
159600g2 |
159600.gr |
159600g |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{27} \cdot 3^{5} \cdot 5^{9} \cdot 7^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$14400000$ |
$3.038414$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.11348$ |
$[0, 1, 0, -14931208, -23248038412]$ |
\(y^2=x^3+x^2-14931208x-23248038412\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 15960.48.1.? |
$[]$ |
| 379050.bk1 |
379050bk2 |
379050.bk |
379050bk |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 7^{5} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$43200000$ |
$3.012768$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.74519$ |
$[1, 1, 0, -13475415, -19933634475]$ |
\(y^2+xy=x^3+x^2-13475415x-19933634475\) |
5.12.0.a.1, 95.24.0.?, 840.24.0.?, 15960.48.1.? |
$[]$ |
| 379050.ic1 |
379050ic2 |
379050.ic |
379050ic |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{9} \cdot 7^{5} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.365028226$ |
$1$ |
|
$4$ |
$216000000$ |
$3.817486$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.49694$ |
$[1, 0, 0, -336885388, -2491030538608]$ |
\(y^2+xy=x^3-336885388x-2491030538608\) |
5.12.0.a.1, 95.24.0.?, 840.24.0.?, 15960.48.1.? |
$[(23552, 1612724)]$ |
| 418950.he1 |
418950he2 |
418950.he |
418950he |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{11} \cdot 5^{3} \cdot 7^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1.594653259$ |
$1$ |
|
$4$ |
$46080000$ |
$3.062809$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.75489$ |
$[1, -1, 0, -16461657, 26910864301]$ |
\(y^2+xy=x^3-x^2-16461657x+26910864301\) |
5.12.0.a.1, 105.24.0.?, 760.24.0.?, 15960.48.1.? |
$[(1829, 53108)]$ |
| 418950.pc1 |
418950pc2 |
418950.pc |
418950pc |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{11} \cdot 5^{9} \cdot 7^{11} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$230400000$ |
$3.867527$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.50083$ |
$[1, -1, 1, -411541430, 3363446496197]$ |
\(y^2+xy+y=x^3-x^2-411541430x+3363446496197\) |
5.12.0.a.1, 105.24.0.?, 760.24.0.?, 15960.48.1.? |
$[]$ |
| 478800.bt1 |
478800bt2 |
478800.bt |
478800bt |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{27} \cdot 3^{11} \cdot 5^{3} \cdot 7^{5} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$3.381258605$ |
$1$ |
|
$2$ |
$23040000$ |
$2.783001$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$4.44962$ |
$[0, 0, 0, -5375235, 5020501250]$ |
\(y^2=x^3-5375235x+5020501250\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 5320.24.0.?, 15960.48.1.? |
$[(1615, 23490)]$ |
| 478800.jk1 |
478800jk2 |
478800.jk |
478800jk |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{27} \cdot 3^{11} \cdot 5^{9} \cdot 7^{5} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$3.121692700$ |
$1$ |
|
$12$ |
$115200000$ |
$3.587719$ |
$-46017030564782549/2542728609792$ |
$1.05986$ |
$5.18795$ |
$[0, 0, 0, -134380875, 627562656250]$ |
\(y^2=x^3-134380875x+627562656250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 5320.24.0.?, 15960.48.1.? |
$[(3461, 451584), (-10875, 896000)]$ |
