| 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.cp8 |
39270cn4 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \cdot 17^{12} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$4488$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$74317824$ |
$4.474304$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$7.26812$ |
$[1, 0, 0, 1245917884, -57356838217200]$ |
\(y^2+xy=x^3+1245917884x-57356838217200\) |
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.1.4, $\ldots$ |
$[]$ |
| 117810.bu8 |
117810bt4 |
117810.bu |
117810bt |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4488$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$594542592$ |
$5.023613$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$7.14881$ |
$[1, -1, 0, 11213260956, 1548634631864400]$ |
\(y^2+xy=x^3-x^2+11213260956x+1548634631864400\) |
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.m8 |
196350fy4 |
196350.m |
196350fy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{3} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1783627776$ |
$5.279022$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$7.10066$ |
$[1, 1, 0, 31147947100, -7169604777150000]$ |
\(y^2+xy=x^3+x^2+31147947100x-7169604777150000\) |
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.en8 |
274890en5 |
274890.en |
274890en |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{14} \cdot 11^{3} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$384$ |
$5$ |
$3.233962027$ |
$4$ |
$2$ |
$2$ |
$3567255552$ |
$5.447266$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$7.07109$ |
$[1, 1, 1, 61049976315, 19673456558475915]$ |
\(y^2+xy+y=x^3+x^2+61049976315x+19673456558475915\) |
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, $\ldots$ |
$[(67703, 155262828)]$ |
| 314160.q8 |
314160q5 |
314160.q |
314160q |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$17.23146415$ |
$1$ |
|
$1$ |
$1783627776$ |
$5.167458$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$6.73122$ |
$[0, -1, 0, 19934686144, 3670837645900800]$ |
\(y^2=x^3-x^2+19934686144x+3670837645900800\) |
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.1.3, $\ldots$ |
$[(5630015986/101, 440488798322662/101)]$ |
| 431970.bn8 |
431970bn5 |
431970.bn |
431970bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{9} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$384$ |
$5$ |
$32.68168929$ |
$1$ |
|
$0$ |
$8918138880$ |
$5.673256$ |
$213890734289719241265598586476991/1544981081981970035652027609600$ |
$1.04243$ |
$7.03378$ |
$[1, 0, 1, 150756063961, 76342102423157162]$ |
\(y^2+xy+y=x^3+150756063961x+76342102423157162\) |
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.1.3, $\ldots$ |
$[(-28533920251303272/513221, 32769847344204884384968277/513221)]$ |
