| 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.d3 |
10005e4 |
10005.d |
10005e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$80040$ |
$48$ |
$0$ |
$1.640616509$ |
$1$ |
|
$4$ |
$49152$ |
$1.711998$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$4.95483$ |
$[1, 1, 1, -82750, -9446440]$ |
\(y^2+xy+y=x^3+x^2-82750x-9446440\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 16008.24.0.?, 80040.48.0.? |
$[(398, 4368)]$ |
| 30015.o3 |
30015d3 |
30015.o |
30015d |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{10} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$2.698603782$ |
$1$ |
|
$4$ |
$393216$ |
$2.261307$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.06621$ |
$[1, -1, 0, -744750, 254309125]$ |
\(y^2+xy=x^3-x^2-744750x+254309125\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$ |
$[(-844, 17189)]$ |
| 50025.t3 |
50025s3 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{9} \cdot 23^{4} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1179648$ |
$2.516716$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.11029$ |
$[1, 0, 1, -2068751, -1176667477]$ |
\(y^2+xy+y=x^3-2068751x-1176667477\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 16008.24.0.?, 80040.48.0.? |
$[]$ |
| 150075.e3 |
150075e4 |
150075.e |
150075e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{10} \cdot 5^{9} \cdot 23^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9437184$ |
$3.066025$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.19230$ |
$[1, -1, 1, -18618755, 31770021872]$ |
\(y^2+xy+y=x^3-x^2-18618755x+31770021872\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$ |
$[]$ |
| 160080.cp3 |
160080j4 |
160080.cp |
160080j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3145728$ |
$2.405148$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$4.50254$ |
$[0, 1, 0, -1324000, 601924148]$ |
\(y^2=x^3+x^2-1324000x+601924148\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 16008.24.0.?, 80040.48.0.? |
$[]$ |
| 230115.b3 |
230115b4 |
230115.b |
230115b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( - 3^{4} \cdot 5^{3} \cdot 23^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$4.567101084$ |
$1$ |
|
$2$ |
$25952256$ |
$3.279747$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.22026$ |
$[1, 1, 1, -43774761, 114497085708]$ |
\(y^2+xy+y=x^3+x^2-43774761x+114497085708\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 92.12.0.?, 460.24.0.?, $\ldots$ |
$[(3364, 71267)]$ |
| 290145.y3 |
290145y3 |
290145.y |
290145y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( - 3^{4} \cdot 5^{3} \cdot 23^{4} \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$21.41150812$ |
$1$ |
|
$0$ |
$41287680$ |
$3.395645$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$5.23463$ |
$[1, 0, 1, -69592768, -229554107617]$ |
\(y^2+xy+y=x^3-69592768x-229554107617\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 116.12.0.?, 552.12.0.?, $\ldots$ |
$[(3426153301041/17407, 3425873589144588490/17407)]$ |
| 480240.bk3 |
480240bk3 |
480240.bk |
480240bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 23^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$24.56225892$ |
$1$ |
|
$1$ |
$25165824$ |
$2.954453$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$4.62830$ |
$[0, 0, 0, -11916003, -16263867998]$ |
\(y^2=x^3-11916003x-16263867998\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$ |
$[(566417458127/11609, 139015707219836082/11609)]$ |
| 490245.o3 |
490245o4 |
490245.o |
490245o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 23^{4} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$560280$ |
$48$ |
$0$ |
$1.947608967$ |
$1$ |
|
$18$ |
$18874368$ |
$2.684956$ |
$-62665433378363916001/2004003001000125$ |
$0.95242$ |
$4.37419$ |
$[1, 0, 0, -4054751, 3227964606]$ |
\(y^2+xy=x^3-4054751x+3227964606\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$ |
$[(445, 38659), (865, 18751)]$ |
