| 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 |
| 7014.l1 |
7014n3 |
7014.l |
7014n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 167 \) |
\( 2^{3} \cdot 3^{6} \cdot 7 \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$9352$ |
$48$ |
$0$ |
$7.082854952$ |
$1$ |
|
$2$ |
$64512$ |
$1.693882$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.47611$ |
$[1, 1, 1, -218309, -39350509]$ |
\(y^2+xy+y=x^3+x^2-218309x-39350509\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 1336.24.0.?, 9352.48.0.? |
$[(1621, 61394)]$ |
| 21042.i1 |
21042i4 |
21042.i |
21042i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 167 \) |
\( 2^{3} \cdot 3^{12} \cdot 7 \cdot 167^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$28056$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$516096$ |
$2.243187$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.53393$ |
$[1, -1, 0, -1964781, 1060498957]$ |
\(y^2+xy=x^3-x^2-1964781x+1060498957\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.s.1, 168.24.0.?, $\ldots$ |
$[]$ |
| 49098.bp1 |
49098bo4 |
49098.bp |
49098bo |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{7} \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9352$ |
$48$ |
$0$ |
$0.735363659$ |
$1$ |
|
$6$ |
$3096576$ |
$2.666836$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.57049$ |
$[1, 0, 0, -10697142, 13465133100]$ |
\(y^2+xy=x^3-10697142x+13465133100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$ |
$[(1854, 1578)]$ |
| 56112.u1 |
56112bc4 |
56112.u |
56112bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 167 \) |
\( 2^{15} \cdot 3^{6} \cdot 7 \cdot 167^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9352$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1548288$ |
$2.387028$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.19541$ |
$[0, 1, 0, -3492944, 2511446676]$ |
\(y^2=x^3+x^2-3492944x+2511446676\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 1336.24.0.?, 9352.48.0.? |
$[]$ |
| 147294.l1 |
147294bz4 |
147294.l |
147294bz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 167 \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{7} \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$28056$ |
$48$ |
$0$ |
$18.48958613$ |
$1$ |
|
$0$ |
$24772608$ |
$3.216141$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.61014$ |
$[1, -1, 0, -96274278, -363558593700]$ |
\(y^2+xy=x^3-x^2-96274278x-363558593700\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0.s.1, 84.12.0.?, $\ldots$ |
$[(570455575/178, 10854868966635/178)]$ |
| 168336.bi1 |
168336w4 |
168336.bi |
168336w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 167 \) |
\( 2^{15} \cdot 3^{12} \cdot 7 \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$28056$ |
$48$ |
$0$ |
$33.36879932$ |
$1$ |
|
$1$ |
$12386304$ |
$2.936337$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.26887$ |
$[0, 0, 0, -31436499, -67840496750]$ |
\(y^2=x^3-31436499x-67840496750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.s.1, 168.24.0.?, $\ldots$ |
$[(1817799169311839/117175, 77432397396316061394438/117175)]$ |
| 175350.p1 |
175350bv4 |
175350.p |
175350bv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 167 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46760$ |
$48$ |
$0$ |
$2.083009042$ |
$1$ |
|
$6$ |
$8257536$ |
$2.498600$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$4.81602$ |
$[1, 0, 1, -5457726, -4907898152]$ |
\(y^2+xy+y=x^3-5457726x-4907898152\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.s.1, 280.24.0.?, $\ldots$ |
$[(-1348, 336)]$ |
| 224448.bh1 |
224448bo3 |
224448.bh |
224448bo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 167 \) |
\( 2^{21} \cdot 3^{6} \cdot 7 \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9352$ |
$48$ |
$0$ |
$4.186006760$ |
$1$ |
|
$3$ |
$12386304$ |
$2.733601$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$4.94840$ |
$[0, -1, 0, -13971777, 20105545185]$ |
\(y^2=x^3-x^2-13971777x+20105545185\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$ |
$[(-3845, 130260)]$ |
| 224448.de1 |
224448cl4 |
224448.de |
224448cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 167 \) |
\( 2^{21} \cdot 3^{6} \cdot 7 \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9352$ |
$48$ |
$0$ |
$12.77255954$ |
$1$ |
|
$1$ |
$12386304$ |
$2.733601$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$4.94840$ |
$[0, 1, 0, -13971777, -20105545185]$ |
\(y^2=x^3+x^2-13971777x-20105545185\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$ |
$[(1419042/7, 1675597365/7)]$ |
| 392784.bd1 |
392784bd4 |
392784.bd |
392784bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{7} \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9352$ |
$48$ |
$0$ |
$55.43097875$ |
$1$ |
|
$1$ |
$74317824$ |
$3.359985$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.31696$ |
$[0, -1, 0, -171154272, -861768518400]$ |
\(y^2=x^3-x^2-171154272x-861768518400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$ |
$[(1772524496323270344389602/8879914691, 1805522298711960785431725152359554630/8879914691)]$ |
