| 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 |
| 19950.p1 |
19950h1 |
19950.p |
19950h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52416$ |
$1.189642$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.33345$ |
$[1, 1, 0, -33880, 2386240]$ |
\(y^2+xy=x^3+x^2-33880x+2386240\) |
3192.2.0.? |
$[]$ |
| 19950.cw1 |
19950dd1 |
19950.cw |
19950dd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$262080$ |
$1.994362$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.30877$ |
$[1, 0, 0, -847013, 299974017]$ |
\(y^2+xy=x^3-847013x+299974017\) |
3192.2.0.? |
$[]$ |
| 59850.c1 |
59850ct1 |
59850.c |
59850ct |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$6.515895157$ |
$1$ |
|
$2$ |
$2096640$ |
$2.543667$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.37781$ |
$[1, -1, 0, -7623117, -8099298459]$ |
\(y^2+xy=x^3-x^2-7623117x-8099298459\) |
3192.2.0.? |
$[(21219, 3052653)]$ |
| 59850.fc1 |
59850fi1 |
59850.fc |
59850fi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$1.738949$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.49990$ |
$[1, -1, 1, -304925, -64733403]$ |
\(y^2+xy+y=x^3-x^2-304925x-64733403\) |
3192.2.0.? |
$[]$ |
| 139650.eh1 |
139650hc1 |
139650.eh |
139650hc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 7^{7} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2515968$ |
$2.162598$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.60719$ |
$[1, 0, 1, -1660146, -823460732]$ |
\(y^2+xy+y=x^3-1660146x-823460732\) |
3192.2.0.? |
$[]$ |
| 139650.gp1 |
139650di1 |
139650.gp |
139650di |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3 \cdot 5^{8} \cdot 7^{7} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$0.727341113$ |
$1$ |
|
$6$ |
$12579840$ |
$2.967316$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.42231$ |
$[1, 1, 1, -41503638, -102932591469]$ |
\(y^2+xy+y=x^3+x^2-41503638x-102932591469\) |
3192.2.0.? |
$[(8385, 368207)]$ |
| 159600.bz1 |
159600cs1 |
159600.bz |
159600cs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$12.80772907$ |
$1$ |
|
$0$ |
$6289920$ |
$2.687508$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.08161$ |
$[0, -1, 0, -13552208, -19198337088]$ |
\(y^2=x^3-x^2-13552208x-19198337088\) |
3192.2.0.? |
$[(94214712/47, 910950922752/47)]$ |
| 159600.dm1 |
159600bs1 |
159600.dm |
159600bs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1257984$ |
$1.882790$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.27557$ |
$[0, 1, 0, -542088, -153803532]$ |
\(y^2=x^3+x^2-542088x-153803532\) |
3192.2.0.? |
$[]$ |
| 379050.z1 |
379050z1 |
379050.z |
379050z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{13} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$58.85834390$ |
$1$ |
|
$0$ |
$94348800$ |
$3.466579$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.46721$ |
$[1, 1, 0, -305771700, -2058133326000]$ |
\(y^2+xy=x^3+x^2-305771700x-2058133326000\) |
3192.2.0.? |
$[(4418248805720023719080031299/432273371507, 159209853687055851124425450338780486931264/432273371507)]$ |
| 379050.ke1 |
379050ke1 |
379050.ke |
379050ke |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$10.01614842$ |
$1$ |
|
$0$ |
$18869760$ |
$2.661861$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.71546$ |
$[1, 0, 0, -12230868, -16465066608]$ |
\(y^2+xy=x^3-12230868x-16465066608\) |
3192.2.0.? |
$[(6997982/13, 18398521874/13)]$ |
| 418950.k1 |
418950k1 |
418950.k |
418950k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 7^{7} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1.614825470$ |
$1$ |
|
$4$ |
$100638720$ |
$3.516621$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.47133$ |
$[1, -1, 0, -373532742, 2778806436916]$ |
\(y^2+xy=x^3-x^2-373532742x+2778806436916\) |
3192.2.0.? |
$[(11153, -1387)]$ |
| 418950.jr1 |
418950jr1 |
418950.jr |
418950jr |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$0.173250569$ |
$1$ |
|
$10$ |
$20127744$ |
$2.711903$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.72539$ |
$[1, -1, 1, -14941310, 22233439757]$ |
\(y^2+xy+y=x^3-x^2-14941310x+22233439757\) |
3192.2.0.? |
$[(1353, 66355)]$ |
| 478800.hg1 |
478800hg1 |
478800.hg |
478800hg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1.185292478$ |
$1$ |
|
$10$ |
$10063872$ |
$2.432095$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$4.42042$ |
$[0, 0, 0, -4878795, 4147816570]$ |
\(y^2=x^3-4878795x+4147816570\) |
3192.2.0.? |
$[(1349, 4608), (4421, 262656)]$ |
| 478800.oz1 |
478800oz1 |
478800.oz |
478800oz |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3192$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50319360$ |
$3.236813$ |
$-172041783999846385/1179967488$ |
$0.97206$ |
$5.15875$ |
$[0, 0, 0, -121969875, 518477071250]$ |
\(y^2=x^3-121969875x+518477071250\) |
3192.2.0.? |
$[]$ |
