| 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 |
| 51870.a1 |
51870d1 |
51870.a |
51870d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{9} \cdot 3^{43} \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$811399680$ |
$5.447838$ |
$-1924614389270758801170113620446515123449/57368590462870627697502749640000000$ |
$1.04921$ |
$8.33655$ |
$[1, 1, 0, -259143312263, -52067329167215883]$ |
\(y^2+xy=x^3+x^2-259143312263x-52067329167215883\) |
29640.2.0.? |
$[]$ |
| 155610.es1 |
155610bd1 |
155610.es |
155610bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{9} \cdot 3^{49} \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$4.104790457$ |
$1$ |
|
$4$ |
$6491197440$ |
$5.997147$ |
$-1924614389270758801170113620446515123449/57368590462870627697502749640000000$ |
$1.04921$ |
$8.12184$ |
$[1, -1, 1, -2332289810372, 1405815555225018471]$ |
\(y^2+xy+y=x^3-x^2-2332289810372x+1405815555225018471\) |
29640.2.0.? |
$[(1893206711, 82374334870269)]$ |
| 259350.gc1 |
259350gc1 |
259350.gc |
259350gc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{9} \cdot 3^{43} \cdot 5^{13} \cdot 7^{2} \cdot 13 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19473592320$ |
$6.252556$ |
$-1924614389270758801170113620446515123449/57368590462870627697502749640000000$ |
$1.04921$ |
$8.03489$ |
$[1, 0, 0, -6478582806588, -6508403188736372208]$ |
\(y^2+xy=x^3-6478582806588x-6508403188736372208\) |
29640.2.0.? |
$[]$ |
| 363090.dh1 |
363090dh1 |
363090.dh |
363090dh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{9} \cdot 3^{43} \cdot 5^{7} \cdot 7^{8} \cdot 13 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$0.791131087$ |
$1$ |
|
$2$ |
$38947184640$ |
$6.420792$ |
$-1924614389270758801170113620446515123449/57368590462870627697502749640000000$ |
$1.04921$ |
$7.98141$ |
$[1, 0, 1, -12698022300913, 17859055810288145156]$ |
\(y^2+xy+y=x^3-12698022300913x+17859055810288145156\) |
29640.2.0.? |
$[(9179230, 25970917862)]$ |
| 414960.fy1 |
414960fy1 |
414960.fy |
414960fy |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{21} \cdot 3^{43} \cdot 5^{7} \cdot 7^{2} \cdot 13 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19473592320$ |
$6.140984$ |
$-1924614389270758801170113620446515123449/57368590462870627697502749640000000$ |
$1.04921$ |
$7.63946$ |
$[0, 1, 0, -4146292996216, 3332300774115824084]$ |
\(y^2=x^3+x^2-4146292996216x+3332300774115824084\) |
29640.2.0.? |
$[]$ |
