| 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.cp4 |
39270cn5 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$4488$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$74317824$ |
$4.474304$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.76940$ |
$[1, 0, 0, -16461218116, -812901436975600]$ |
\(y^2+xy=x^3-16461218116x-812901436975600\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
| 117810.bu4 |
117810bt5 |
117810.bu |
117810bt |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4488$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$594542592$ |
$5.023613$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.60293$ |
$[1, -1, 0, -148150963044, 21948338798341200]$ |
\(y^2+xy=x^3-x^2-148150963044x+21948338798341200\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[]$ |
| 196350.m4 |
196350fy5 |
196350.m |
196350fy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 11^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1783627776$ |
$5.279022$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.53574$ |
$[1, 1, 0, -411530452900, -101612679621950000]$ |
\(y^2+xy=x^3+x^2-411530452900x-101612679621950000\) |
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.en4 |
274890en4 |
274890.en |
274890en |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \cdot 11^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$3.233962027$ |
$1$ |
|
$2$ |
$3567255552$ |
$5.447266$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.49449$ |
$[1, 1, 1, -806599687685, 278824386282943115]$ |
\(y^2+xy+y=x^3+x^2-806599687685x+278824386282943115\) |
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, $\ldots$ |
$[(718263, 264267868)]$ |
| 314160.q4 |
314160q4 |
314160.q |
314160q |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{21} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$4.307866039$ |
$1$ |
|
$3$ |
$1783627776$ |
$5.167458$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.15015$ |
$[0, -1, 0, -263379489856, 52025691966438400]$ |
\(y^2=x^3-x^2-263379489856x+52025691966438400\) |
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.1.4, $\ldots$ |
$[(-316064, 322019712)]$ |
| 431970.bn4 |
431970bn4 |
431970.bn |
431970bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 11^{18} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$8.170422322$ |
$1$ |
|
$2$ |
$8918138880$ |
$5.673256$ |
$493298302018650738343048153196947009/5139490792463830279120089600$ |
$1.03945$ |
$7.44243$ |
$[1, 0, 1, -1991807392039, 1081969820807131562]$ |
\(y^2+xy+y=x^3-1991807392039x+1081969820807131562\) |
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, $\ldots$ |
$[(1143526, 546804104)]$ |
