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 |
7426.e1 |
7426a2 |
7426.e |
7426a |
$2$ |
$2$ |
\( 2 \cdot 47 \cdot 79 \) |
\( 2^{3} \cdot 47^{2} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.232760$ |
$191202526081/110290952$ |
$0.90220$ |
$2.91455$ |
$[1, 1, 1, -120, -79]$ |
\(y^2+xy+y=x^3+x^2-120x-79\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[ ]$ |
59408.a1 |
59408e2 |
59408.a |
59408e |
$2$ |
$2$ |
\( 2^{4} \cdot 47 \cdot 79 \) |
\( 2^{15} \cdot 47^{2} \cdot 79^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$1.033746265$ |
$1$ |
|
$23$ |
$165888$ |
$0.925907$ |
$191202526081/110290952$ |
$0.90220$ |
$3.11989$ |
$[0, 1, 0, -1920, 1204]$ |
\(y^2=x^3+x^2-1920x+1204\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[(90, 752), (-4, 94)]$ |
66834.l1 |
66834i2 |
66834.l |
66834i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 47 \cdot 79 \) |
\( 2^{3} \cdot 3^{6} \cdot 47^{2} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$3.776057128$ |
$1$ |
|
$0$ |
$165888$ |
$0.782066$ |
$191202526081/110290952$ |
$0.90220$ |
$2.93145$ |
$[1, -1, 0, -1080, 1048]$ |
\(y^2+xy=x^3-x^2-1080x+1048\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[(1/3, 821/3)]$ |
185650.a1 |
185650g2 |
185650.a |
185650g |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 47 \cdot 79 \) |
\( 2^{3} \cdot 5^{6} \cdot 47^{2} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.037479$ |
$191202526081/110290952$ |
$0.90220$ |
$2.93722$ |
$[1, 0, 1, -3001, -3852]$ |
\(y^2+xy+y=x^3-3001x-3852\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[ ]$ |
237632.c1 |
237632c2 |
237632.c |
237632c |
$2$ |
$2$ |
\( 2^{6} \cdot 47 \cdot 79 \) |
\( 2^{21} \cdot 47^{2} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$3.399750876$ |
$1$ |
|
$3$ |
$1327104$ |
$1.272480$ |
$191202526081/110290952$ |
$0.90220$ |
$3.10646$ |
$[0, 1, 0, -7681, -17313]$ |
\(y^2=x^3+x^2-7681x-17313\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[(363, 6720)]$ |
237632.l1 |
237632l2 |
237632.l |
237632l |
$2$ |
$2$ |
\( 2^{6} \cdot 47 \cdot 79 \) |
\( 2^{21} \cdot 47^{2} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1327104$ |
$1.272480$ |
$191202526081/110290952$ |
$0.90220$ |
$3.10646$ |
$[0, -1, 0, -7681, 17313]$ |
\(y^2=x^3-x^2-7681x+17313\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[ ]$ |
349022.j1 |
349022j2 |
349022.j |
349022j |
$2$ |
$2$ |
\( 2 \cdot 47^{2} \cdot 79 \) |
\( 2^{3} \cdot 47^{8} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$21.40748288$ |
$1$ |
|
$0$ |
$15261696$ |
$2.157833$ |
$191202526081/110290952$ |
$0.90220$ |
$3.84533$ |
$[1, 1, 1, -265126, 2881051]$ |
\(y^2+xy+y=x^3+x^2-265126x+2881051\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[(-63034660535/11304, 5746098658395743/11304)]$ |
363874.o1 |
363874o2 |
363874.o |
363874o |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 47 \cdot 79 \) |
\( 2^{3} \cdot 7^{6} \cdot 47^{2} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$29704$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$1.205715$ |
$191202526081/110290952$ |
$0.90220$ |
$2.94052$ |
$[1, 0, 0, -5881, 9393]$ |
\(y^2+xy=x^3-5881x+9393\) |
2.3.0.a.1, 8.6.0.b.1, 14852.6.0.?, 29704.12.0.? |
$[ ]$ |