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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
4186.a1 |
4186a2 |
4186.a |
4186a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9984$ |
$0.871699$ |
$53008645999484449/2060047808$ |
$[1, 1, 1, -7826, -269729]$ |
\(y^2+xy+y=x^3+x^2-7826x-269729\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
29302.e1 |
29302g2 |
29302.e |
29302g |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 7^{8} \cdot 13^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.085931918$ |
$1$ |
|
$22$ |
$479232$ |
$1.844654$ |
$53008645999484449/2060047808$ |
$[1, 0, 0, -383475, 91366561]$ |
\(y^2+xy=x^3-383475x+91366561\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(368, 159), (354, -79)]$ |
33488.h1 |
33488bb2 |
33488.h |
33488bb |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{18} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$239616$ |
$1.564846$ |
$53008645999484449/2060047808$ |
$[0, 1, 0, -125216, 17012212]$ |
\(y^2=x^3+x^2-125216x+17012212\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
37674.b1 |
37674f2 |
37674.b |
37674f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$0.505721957$ |
$1$ |
|
$8$ |
$239616$ |
$1.421005$ |
$53008645999484449/2060047808$ |
$[1, -1, 0, -70434, 7212244]$ |
\(y^2+xy=x^3-x^2-70434x+7212244\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(156, -26)]$ |
54418.c1 |
54418c2 |
54418.c |
54418c |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 7^{2} \cdot 13^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$8.544924879$ |
$1$ |
|
$0$ |
$1677312$ |
$2.154175$ |
$53008645999484449/2060047808$ |
$[1, 1, 0, -1322597, -585981235]$ |
\(y^2+xy=x^3+x^2-1322597x-585981235\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(135202/9, 30834379/9)]$ |
96278.q1 |
96278r2 |
96278.q |
96278r |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( 2^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$0.873778727$ |
$1$ |
|
$4$ |
$5271552$ |
$2.439445$ |
$53008645999484449/2060047808$ |
$[1, 1, 1, -4139965, 3240390931]$ |
\(y^2+xy+y=x^3+x^2-4139965x+3240390931\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(1531, 21452)]$ |
104650.c1 |
104650i2 |
104650.c |
104650i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$798720$ |
$1.676418$ |
$53008645999484449/2060047808$ |
$[1, 0, 1, -195651, -33324802]$ |
\(y^2+xy+y=x^3-195651x-33324802\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
133952.e1 |
133952br2 |
133952.e |
133952br |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{24} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$8.651479220$ |
$1$ |
|
$9$ |
$1916928$ |
$1.911421$ |
$53008645999484449/2060047808$ |
$[0, 1, 0, -500865, -136598561]$ |
\(y^2=x^3+x^2-500865x-136598561\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(2635, 129792), (843, 6400)]$ |
133952.cg1 |
133952be2 |
133952.cg |
133952be |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{24} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$6.805225967$ |
$1$ |
|
$1$ |
$1916928$ |
$1.911421$ |
$53008645999484449/2060047808$ |
$[0, -1, 0, -500865, 136598561]$ |
\(y^2=x^3-x^2-500865x+136598561\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(5945/4, 82341/4)]$ |
234416.bs1 |
234416bs2 |
234416.bs |
234416bs |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{18} \cdot 7^{8} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$23.94905305$ |
$1$ |
|
$1$ |
$11501568$ |
$2.537800$ |
$53008645999484449/2060047808$ |
$[0, -1, 0, -6135600, -5847459904]$ |
\(y^2=x^3-x^2-6135600x-5847459904\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(436401940618/12351, 3911250556229302/12351)]$ |
263718.bo1 |
263718bo2 |
263718.bo |
263718bo |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{8} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$9.674838033$ |
$1$ |
|
$0$ |
$11501568$ |
$2.393959$ |
$53008645999484449/2060047808$ |
$[1, -1, 0, -3451275, -2466897147]$ |
\(y^2+xy=x^3-x^2-3451275x-2466897147\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(3160861/25, 5128855941/25)]$ |
301392.d1 |
301392d2 |
301392.d |
301392d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5750784$ |
$2.114151$ |
$53008645999484449/2060047808$ |
$[0, 0, 0, -1126947, -460456670]$ |
\(y^2=x^3-1126947x-460456670\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
380926.g1 |
380926g2 |
380926.g |
380926g |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 7^{8} \cdot 13^{10} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$5.995166369$ |
$1$ |
|
$0$ |
$80510976$ |
$3.127129$ |
$53008645999484449/2060047808$ |
$[1, 0, 1, -64807279, 200797141794]$ |
\(y^2+xy+y=x^3-64807279x+200797141794\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(56471/5, 31955916/5)]$ |
435344.c1 |
435344c2 |
435344.c |
435344c |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{18} \cdot 7^{2} \cdot 13^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40255488$ |
$2.847321$ |
$53008645999484449/2060047808$ |
$[0, 1, 0, -21161560, 37460475924]$ |
\(y^2=x^3+x^2-21161560x+37460475924\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
489762.fk1 |
489762fk2 |
489762.fk |
489762fk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40255488$ |
$2.703480$ |
$53008645999484449/2060047808$ |
$[1, -1, 1, -11903378, 15809589969]$ |
\(y^2+xy+y=x^3-x^2-11903378x+15809589969\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |