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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
10005.d1 |
10005e3 |
10005.d |
10005e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$80040$ |
$48$ |
$0$ |
$6.562466036$ |
$4$ |
$2$ |
$2$ |
$49152$ |
$1.711998$ |
$262537424941059264096001/250125$ |
$[1, 1, 1, -1334000, -593592940]$ |
\(y^2+xy+y=x^3+x^2-1334000x-593592940\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[(1403, 16588)]$ |
30015.o1 |
30015d4 |
30015.o |
30015d |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$10.79441512$ |
$1$ |
|
$0$ |
$393216$ |
$2.261307$ |
$262537424941059264096001/250125$ |
$[1, -1, 0, -12006000, 16015003375]$ |
\(y^2+xy=x^3-x^2-12006000x+16015003375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(251249/8, 86744653/8)]$ |
50025.t1 |
50025s4 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{9} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1179648$ |
$2.516716$ |
$262537424941059264096001/250125$ |
$[1, 0, 1, -33350001, -74132417477]$ |
\(y^2+xy+y=x^3-33350001x-74132417477\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 16008.24.0.?, 20010.6.0.?, $\ldots$ |
$[]$ |
150075.e1 |
150075e3 |
150075.e |
150075e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{9} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9437184$ |
$3.066025$ |
$262537424941059264096001/250125$ |
$[1, -1, 1, -300150005, 2001575271872]$ |
\(y^2+xy+y=x^3-x^2-300150005x+2001575271872\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
160080.cp1 |
160080j3 |
160080.cp |
160080j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3 \cdot 5^{3} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3145728$ |
$2.405148$ |
$262537424941059264096001/250125$ |
$[0, 1, 0, -21344000, 37947260148]$ |
\(y^2=x^3+x^2-21344000x+37947260148\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[]$ |
230115.b1 |
230115b3 |
230115.b |
230115b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3 \cdot 5^{3} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$18.26840433$ |
$1$ |
|
$0$ |
$25952256$ |
$3.279747$ |
$262537424941059264096001/250125$ |
$[1, 1, 1, -705686011, 7215188438708]$ |
\(y^2+xy+y=x^3+x^2-705686011x+7215188438708\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 184.12.0.?, 348.12.0.?, $\ldots$ |
$[(4930552861/473, 161651398209011/473)]$ |
290145.y1 |
290145y4 |
290145.y |
290145y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3 \cdot 5^{3} \cdot 23 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$85.64603249$ |
$4$ |
$2$ |
$0$ |
$41287680$ |
$3.395645$ |
$262537424941059264096001/250125$ |
$[1, 0, 1, -1121894018, -14463675481117]$ |
\(y^2+xy+y=x^3-1121894018x-14463675481117\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 232.12.0.?, 276.12.0.?, $\ldots$ |
$[(918808461662475250990222173623791606961/145887028483479608, 12944990723367112319283376401563636350928453111275326157365/145887028483479608)]$ |
480240.bk1 |
480240bk4 |
480240.bk |
480240bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$24.56225892$ |
$4$ |
$2$ |
$1$ |
$25165824$ |
$2.954453$ |
$262537424941059264096001/250125$ |
$[0, 0, 0, -192096003, -1024768119998]$ |
\(y^2=x^3-192096003x-1024768119998\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(89002641903/703, 26471347861174034/703)]$ |
490245.o1 |
490245o3 |
490245.o |
490245o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{3} \cdot 7^{6} \cdot 23 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$560280$ |
$48$ |
$0$ |
$31.16174347$ |
$1$ |
|
$0$ |
$18874368$ |
$2.684956$ |
$262537424941059264096001/250125$ |
$[1, 0, 0, -65366001, 203406280356]$ |
\(y^2+xy=x^3-65366001x+203406280356\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ |
$[(42052/3, -48076/3), (43492/3, 464060/3)]$ |