| 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 |
| 42042.ch1 |
42042bw2 |
42042.ch |
42042bw |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{8} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$6006$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7836864$ |
$3.334896$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$6.31976$ |
$[1, 1, 1, -114538040, -471735414151]$ |
\(y^2+xy+y=x^3+x^2-114538040x-471735414151\) |
7.48.0-7.a.1.1, 858.2.0.?, 6006.96.2.? |
$[]$ |
| 42042.db1 |
42042dk2 |
42042.db |
42042dk |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.1 |
7B.1.1 |
$6006$ |
$96$ |
$2$ |
$2.500424069$ |
$1$ |
|
$12$ |
$1119552$ |
$2.361942$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.22311$ |
$[1, 0, 0, -2337511, 1374987977]$ |
\(y^2+xy=x^3-2337511x+1374987977\) |
7.48.0-7.a.1.2, 858.2.0.?, 6006.96.2.? |
$[(866, 161)]$ |
| 126126.y1 |
126126bf2 |
126126.y |
126126bf |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{13} \cdot 7^{8} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$6006$ |
$96$ |
$2$ |
$8.388214217$ |
$1$ |
|
$2$ |
$62694912$ |
$3.884205$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$6.28985$ |
$[1, -1, 0, -1030842360, 12735825339712]$ |
\(y^2+xy=x^3-x^2-1030842360x+12735825339712\) |
7.24.0.a.1, 21.48.0-7.a.1.1, 858.2.0.?, 2002.48.0.?, 6006.96.2.? |
$[(13199, 1188830)]$ |
| 126126.bz1 |
126126bs2 |
126126.bz |
126126bs |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{13} \cdot 7^{2} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$6006$ |
$96$ |
$2$ |
$18.13782011$ |
$1$ |
|
$0$ |
$8956416$ |
$2.911247$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.29577$ |
$[1, -1, 0, -21037599, -37124675379]$ |
\(y^2+xy=x^3-x^2-21037599x-37124675379\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 858.2.0.?, 2002.48.0.?, 6006.96.2.? |
$[(2088601710/421, 86297938966221/421)]$ |
| 336336.bj1 |
336336bj2 |
336336.bj |
336336bj |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{7} \cdot 7^{2} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$12012$ |
$96$ |
$2$ |
$25.82126843$ |
$1$ |
|
$0$ |
$26869248$ |
$3.055088$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.02325$ |
$[0, -1, 0, -37400176, -87999230528]$ |
\(y^2=x^3-x^2-37400176x-87999230528\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 858.2.0.?, 6006.48.2.?, 12012.96.2.? |
$[(-26077711318744/85903, 3094681309421094912/85903)]$ |
| 336336.gy1 |
336336gy2 |
336336.gy |
336336gy |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{26} \cdot 3^{7} \cdot 7^{8} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$12012$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$188084736$ |
$4.028046$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.94071$ |
$[0, 1, 0, -1832608640, 30187401288372]$ |
\(y^2=x^3+x^2-1832608640x+30187401288372\) |
7.24.0.a.1, 28.48.0-7.a.1.2, 858.2.0.?, 6006.48.2.?, 12012.96.2.? |
$[]$ |
| 462462.bh1 |
462462bh2 |
462462.bh |
462462bh |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{8} \cdot 11^{13} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$6006$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$940423680$ |
$4.533844$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$6.26098$ |
$[1, 1, 0, -13859102842, 627810540720532]$ |
\(y^2+xy=x^3+x^2-13859102842x+627810540720532\) |
7.24.0.a.1, 77.48.0.?, 546.48.0.?, 858.2.0.?, 6006.96.2.? |
$[]$ |
| 462462.dv1 |
462462dv2 |
462462.dv |
462462dv |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{2} \cdot 11^{13} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$6006$ |
$96$ |
$2$ |
$6.088890606$ |
$1$ |
|
$2$ |
$134346240$ |
$3.560890$ |
$28826282175168869972161/9077387406557184$ |
$1.01110$ |
$5.36592$ |
$[1, 0, 1, -282838834, -1830391836220]$ |
\(y^2+xy+y=x^3-282838834x-1830391836220\) |
7.24.0.a.1, 77.48.0.?, 546.48.0.?, 858.2.0.?, 6006.96.2.? |
$[(45165, 8782345)]$ |
