| 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 |
| 39270.cp5 |
39270cn3 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{24} \cdot 7^{6} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.2 |
2B, 3B.1.2 |
$4488$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$55738368$ |
$4.330467$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$7.44312$ |
$[1, 0, 0, -5209708356, -144604741703664]$ |
\(y^2+xy=x^3-5209708356x-144604741703664\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 117810.bu5 |
117810bt3 |
117810.bu |
117810bt |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{24} \cdot 7^{6} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4488$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$5$ |
$445906944$ |
$4.879768$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$7.30735$ |
$[1, -1, 0, -46887375204, 3904328025998928]$ |
\(y^2+xy=x^3-x^2-46887375204x+3904328025998928\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
| 196350.m5 |
196350fy3 |
196350.m |
196350fy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{30} \cdot 7^{6} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1337720832$ |
$5.135185$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$7.25255$ |
$[1, 1, 0, -130242708900, -18075592712958000]$ |
\(y^2+xy=x^3+x^2-130242708900x-18075592712958000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 274890.en5 |
274890en3 |
274890.en |
274890en |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{24} \cdot 7^{12} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$2.425471520$ |
$1$ |
|
$3$ |
$2675441664$ |
$5.303421$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$7.21890$ |
$[1, 1, 1, -255275709445, 49599171128647307]$ |
\(y^2+xy+y=x^3+x^2-255275709445x+49599171128647307\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(342397, 48148926)]$ |
| 314160.q5 |
314160q3 |
314160.q |
314160q |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 5^{24} \cdot 7^{6} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.12, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$51.69439247$ |
$1$ |
|
$1$ |
$1337720832$ |
$5.023613$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$6.87748$ |
$[0, -1, 0, -83355333696, 9254703469034496]$ |
\(y^2=x^3-x^2-83355333696x+9254703469034496\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.2, $\ldots$ |
$[(900945325925005478534624/2708226625, 585570194046908927746288015833874432/2708226625)]$ |
| 431970.bn5 |
431970bn3 |
431970.bn |
431970bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{24} \cdot 7^{6} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$98.04506787$ |
$1$ |
|
$1$ |
$6688604160$ |
$5.529411$ |
$15637378471582822120727563649467969/16113547119140625000000000000$ |
$1.03341$ |
$7.17644$ |
$[1, 0, 1, -630374711079, 192468280832865706]$ |
\(y^2+xy+y=x^3-630374711079x+192468280832865706\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(22236960099753258727079444632739888014366879/8778568206289719555, 125733994135304856047647226326104240005960210769728102832042570532/8778568206289719555)]$ |
