| 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 |
| 7770.p1 |
7770p3 |
7770.p |
7770p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13312$ |
$0.799223$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.43754$ |
$[1, 1, 1, -11841, -500877]$ |
\(y^2+xy+y=x^3+x^2-11841x-500877\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
| 23310.u1 |
23310bb4 |
23310.u |
23310bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$31080$ |
$48$ |
$0$ |
$2.057595982$ |
$1$ |
|
$10$ |
$106496$ |
$1.348530$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.60823$ |
$[1, -1, 0, -106569, 13417105]$ |
\(y^2+xy=x^3-x^2-106569x+13417105\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 2220.24.0.?, 10360.24.0.?, $\ldots$ |
$[(189, -88)]$ |
| 38850.bi1 |
38850bb4 |
38850.bi |
38850bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$319488$ |
$1.603943$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.67550$ |
$[1, 0, 1, -296026, -62017552]$ |
\(y^2+xy+y=x^3-296026x-62017552\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 148.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 54390.dg1 |
54390dg4 |
54390.dg |
54390dg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$638976$ |
$1.772179$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.71637$ |
$[1, 0, 0, -580210, 170060120]$ |
\(y^2+xy=x^3-580210x+170060120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 62160.bp1 |
62160ck4 |
62160.bp |
62160ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$319488$ |
$1.492371$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.35511$ |
$[0, 1, 0, -189456, 31677204]$ |
\(y^2=x^3+x^2-189456x+31677204\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
| 116550.cv1 |
116550ec4 |
116550.cv |
116550ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{7} \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$2.375172194$ |
$1$ |
|
$4$ |
$2555904$ |
$2.153248$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.80023$ |
$[1, -1, 1, -2664230, 1674473897]$ |
\(y^2+xy+y=x^3-x^2-2664230x+1674473897\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 444.12.0.?, $\ldots$ |
$[(945, -347)]$ |
| 163170.c1 |
163170ed4 |
163170.c |
163170ed |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{7} \cdot 5 \cdot 7^{10} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$20.88156470$ |
$1$ |
|
$8$ |
$5111808$ |
$2.321484$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.83387$ |
$[1, -1, 0, -5221890, -4591623240]$ |
\(y^2+xy=x^3-x^2-5221890x-4591623240\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(-1319, 669), (47301, 10251429)]$ |
| 186480.eb1 |
186480bf4 |
186480.eb |
186480bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$31080$ |
$48$ |
$0$ |
$8.014297356$ |
$4$ |
$2$ |
$1$ |
$2555904$ |
$2.041676$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.50401$ |
$[0, 0, 0, -1705107, -856989614]$ |
\(y^2=x^3-1705107x-856989614\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 2220.24.0.?, 10360.24.0.?, $\ldots$ |
$[(44654/5, 5297292/5)]$ |
| 248640.da1 |
248640da3 |
248640.da |
248640da |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{20} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$5.782131732$ |
$1$ |
|
$3$ |
$2555904$ |
$1.838943$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.20390$ |
$[0, -1, 0, -757825, 254175457]$ |
\(y^2=x^3-x^2-757825x+254175457\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[(987, 21604)]$ |
| 248640.hr1 |
248640hr4 |
248640.hr |
248640hr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{20} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2555904$ |
$1.838943$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.20390$ |
$[0, 1, 0, -757825, -254175457]$ |
\(y^2=x^3+x^2-757825x-254175457\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[]$ |
| 271950.bz1 |
271950bz3 |
271950.bz |
271950bz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3 \cdot 5^{7} \cdot 7^{10} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15335424$ |
$2.576897$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.88147$ |
$[1, 1, 0, -14505250, 21257515000]$ |
\(y^2+xy=x^3+x^2-14505250x+21257515000\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
| 287490.ba1 |
287490ba4 |
287490.ba |
287490ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$14.14660881$ |
$1$ |
|
$0$ |
$18210816$ |
$2.604683$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.88642$ |
$[1, 1, 0, -16210357, -25127758319]$ |
\(y^2+xy=x^3+x^2-16210357x-25127758319\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 444.12.0.?, $\ldots$ |
$[(41394895/66, 235555005899/66)]$ |
| 310800.cd1 |
310800cd3 |
310800.cd |
310800cd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{14} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$2.610410785$ |
$1$ |
|
$5$ |
$7667712$ |
$2.297089$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.56443$ |
$[0, -1, 0, -4736408, 3969123312]$ |
\(y^2=x^3-x^2-4736408x+3969123312\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 148.12.0.?, 168.12.0.?, $\ldots$ |
$[(1282, 1550)]$ |
| 435120.ca1 |
435120ca4 |
435120.ca |
435120ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{14} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$31080$ |
$48$ |
$0$ |
$6.089002766$ |
$4$ |
$2$ |
$1$ |
$15335424$ |
$2.465324$ |
$183607808836587409/5330220$ |
$0.94457$ |
$4.60164$ |
$[0, -1, 0, -9283360, -10883847680]$ |
\(y^2=x^3-x^2-9283360x-10883847680\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-15827/3, 134/3)]$ |
