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 |
9338.g1 |
9338f2 |
9338.g |
9338f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.928023410$ |
$1$ |
|
$2$ |
$5376$ |
$0.513044$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.20920$ |
$[1, 0, 0, -368, -92]$ |
\(y^2+xy=x^3-368x-92\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(-16, 50)]$ |
65366.t1 |
65366r2 |
65366.t |
65366r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 7^{8} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$258048$ |
$1.486000$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.69899$ |
$[1, 1, 1, -18033, 13523]$ |
\(y^2+xy+y=x^3+x^2-18033x+13523\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
74704.s1 |
74704q2 |
74704.s |
74704q |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{14} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$7.543842223$ |
$1$ |
|
$1$ |
$129024$ |
$1.206192$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.35575$ |
$[0, -1, 0, -5888, 5888]$ |
\(y^2=x^3-x^2-5888x+5888\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(-1454/11, 363930/11)]$ |
84042.l1 |
84042p2 |
84042.l |
84042p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$0.524087241$ |
$1$ |
|
$10$ |
$129024$ |
$1.062351$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.16866$ |
$[1, -1, 0, -3312, 2484]$ |
\(y^2+xy=x^3-x^2-3312x+2484\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(66, 228)]$ |
214774.k1 |
214774a2 |
214774.k |
214774a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( 2^{2} \cdot 7^{2} \cdot 23^{7} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$6.943004778$ |
$1$ |
|
$6$ |
$2838528$ |
$2.080791$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.92194$ |
$[1, 0, 0, -194683, 730005]$ |
\(y^2+xy=x^3-194683x+730005\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(-2, 1059), (5811/2, 416331/2)]$ |
233450.bk1 |
233450bk2 |
233450.bk |
233450bk |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$774144$ |
$1.317764$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.15472$ |
$[1, 1, 0, -9200, -11500]$ |
\(y^2+xy=x^3+x^2-9200x-11500\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
270802.j1 |
270802j2 |
270802.j |
270802j |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( 2^{2} \cdot 7^{2} \cdot 23 \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$2.196693$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.96045$ |
$[1, 1, 0, -309505, -1624791]$ |
\(y^2+xy=x^3+x^2-309505x-1624791\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
298816.h1 |
298816h2 |
298816.h |
298816h |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{20} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.552765$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.31663$ |
$[0, 1, 0, -23553, 23551]$ |
\(y^2=x^3+x^2-23553x+23551\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
298816.by1 |
298816by2 |
298816.by |
298816by |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{20} \cdot 7^{2} \cdot 23 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.990804934$ |
$1$ |
|
$3$ |
$1032192$ |
$1.552765$ |
$5512402554625/3188422748$ |
$0.94952$ |
$3.31663$ |
$[0, -1, 0, -23553, -23551]$ |
\(y^2=x^3-x^2-23553x-23551\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(161, 576)]$ |