| 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 |
| 10005.m2 |
10005j2 |
10005.m |
10005j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$0.710343650$ |
$1$ |
|
$4$ |
$3456$ |
$0.478603$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.21836$ |
$[1, 0, 1, -349, 3137]$ |
\(y^2+xy+y=x^3-349x+3137\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(-5, 71)]$ |
| 30015.d2 |
30015m2 |
30015.d |
30015m |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{12} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.027908$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.51478$ |
$[1, -1, 1, -3137, -84706]$ |
\(y^2+xy+y=x^3-x^2-3137x-84706\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[]$ |
| 50025.c2 |
50025g2 |
50025.c |
50025g |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5^{7} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.245613695$ |
$1$ |
|
$6$ |
$82944$ |
$1.283321$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.63211$ |
$[1, 1, 1, -8713, 392156]$ |
\(y^2+xy+y=x^3+x^2-8713x+392156\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(70, 327)]$ |
| 150075.bj2 |
150075bj2 |
150075.bj |
150075bj |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{12} \cdot 5^{7} \cdot 23^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$6.448644732$ |
$1$ |
|
$8$ |
$663552$ |
$1.832628$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.85037$ |
$[1, -1, 0, -78417, -10666634]$ |
\(y^2+xy=x^3-x^2-78417x-10666634\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(434, 5858), (1911/2, 60439/2)]$ |
| 160080.l2 |
160080bx2 |
160080.l |
160080bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.171749$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.16784$ |
$[0, -1, 0, -5576, -200784]$ |
\(y^2=x^3-x^2-5576x-200784\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[]$ |
| 230115.y2 |
230115y2 |
230115.y |
230115y |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5 \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$9.287915167$ |
$1$ |
|
$2$ |
$1824768$ |
$2.046349$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.92479$ |
$[1, 0, 1, -184368, -38539649]$ |
\(y^2+xy+y=x^3-184368x-38539649\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(57937, 13916174)]$ |
| 290145.f2 |
290145f2 |
290145.f |
290145f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( - 3^{6} \cdot 5 \cdot 23^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$2.864017242$ |
$1$ |
|
$2$ |
$2903040$ |
$2.162251$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.96303$ |
$[1, 1, 1, -293106, 77100588]$ |
\(y^2+xy+y=x^3+x^2-293106x+77100588\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[(234, 4508)]$ |
| 480240.do2 |
480240do2 |
480240.do |
480240do |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.721056$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.40568$ |
$[0, 0, 0, -50187, 5471354]$ |
\(y^2=x^3-50187x+5471354\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[]$ |
| 490245.bq2 |
490245bq2 |
490245.bq |
490245bq |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 3^{6} \cdot 5 \cdot 7^{6} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1327104$ |
$1.451557$ |
$-4681768588489/1621620405$ |
$0.86047$ |
$3.15350$ |
$[1, 1, 0, -17077, -1093154]$ |
\(y^2+xy=x^3+x^2-17077x-1093154\) |
2.3.0.a.1, 20.6.0.a.1, 8004.6.0.?, 40020.12.0.? |
$[]$ |
