| 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.cp2 |
39270cn6 |
39270.cp |
39270cn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 7^{12} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$4488$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$111476736$ |
$4.677040$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$8.22936$ |
$[1, 0, 0, -83334708356, -9259495366703664]$ |
\(y^2+xy=x^3-83334708356x-9259495366703664\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 24.96.0-24.o.2.31, $\ldots$ |
$[]$ |
| 117810.bu2 |
117810bt6 |
117810.bu |
117810bt |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{12} \cdot 7^{12} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$4488$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$10$ |
$891813888$ |
$5.226349$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$8.01962$ |
$[1, -1, 0, -750012375204, 250006374900998928]$ |
\(y^2+xy=x^3-x^2-750012375204x+250006374900998928\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 24.96.0-24.o.2.27, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 196350.m2 |
196350fy6 |
196350.m |
196350fy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{18} \cdot 7^{12} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$22440$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$2675441664$ |
$5.481758$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$7.93497$ |
$[1, 1, 0, -2083367708900, -1157436920837958000]$ |
\(y^2+xy=x^3+x^2-2083367708900x-1157436920837958000\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.2, $\ldots$ |
$[]$ |
| 274890.en2 |
274890en6 |
274890.en |
274890en |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 7^{18} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$31416$ |
$384$ |
$5$ |
$4.850943041$ |
$1$ |
|
$4$ |
$5350883328$ |
$5.649994$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$7.88298$ |
$[1, 1, 1, -4083400709445, 3176002827378647307]$ |
\(y^2+xy+y=x^3+x^2-4083400709445x+3176002827378647307\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.2, 24.48.0.o.2, $\ldots$ |
$[(1240897, 139699676)]$ |
| 314160.q2 |
314160q6 |
314160.q |
314160q |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{12} \cdot 7^{12} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.4.0.1 |
2Cs, 3B |
$4488$ |
$384$ |
$5$ |
$25.84719623$ |
$1$ |
|
$3$ |
$2675441664$ |
$5.370186$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$7.53455$ |
$[0, -1, 0, -1333355333696, 592607703469034496]$ |
\(y^2=x^3-x^2-1333355333696x+592607703469034496\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.1, 12.48.0-6.a.1.7, $\ldots$ |
$[(462060795226306/23201, 3544710404521761718750/23201)]$ |
| 431970.bn2 |
431970bn6 |
431970.bn |
431970bn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{12} \cdot 7^{12} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4488$ |
$384$ |
$5$ |
$49.02253393$ |
$1$ |
|
$2$ |
$13377208320$ |
$5.875984$ |
$64003168104546012500462338813649467969/68064746081030015625000000$ |
$1.04729$ |
$7.81739$ |
$[1, 0, 1, -10083499711079, 12324378249582865706]$ |
\(y^2+xy+y=x^3-10083499711079x+12324378249582865706\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 24.96.0-24.o.2.13, $\ldots$ |
$[(2117909836497498888135039/1075011265, 868453939779818269140381193105708/1075011265)]$ |
