| 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 |
| 21216.f2 |
21216a2 |
21216.f |
21216a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$2.751347710$ |
$1$ |
|
$3$ |
$5120$ |
$0.256342$ |
$145531576/304317$ |
$0.83336$ |
$2.60927$ |
$[0, -1, 0, 88, -540]$ |
\(y^2=x^3-x^2+88x-540\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(9, 30)]$ |
| 21216.n2 |
21216m2 |
21216.n |
21216m |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$2.822997420$ |
$1$ |
|
$3$ |
$5120$ |
$0.256342$ |
$145531576/304317$ |
$0.83336$ |
$2.60927$ |
$[0, 1, 0, 88, 540]$ |
\(y^2=x^3+x^2+88x+540\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(63, 510)]$ |
| 42432.b2 |
42432h2 |
42432.b |
42432h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$4.150920723$ |
$1$ |
|
$13$ |
$20480$ |
$0.602916$ |
$145531576/304317$ |
$0.83336$ |
$2.82983$ |
$[0, -1, 0, 351, 3969]$ |
\(y^2=x^3-x^2+351x+3969\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(8, 85), (0, 63)]$ |
| 42432.bn2 |
42432bb2 |
42432.bn |
42432bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$2.255952884$ |
$1$ |
|
$5$ |
$20480$ |
$0.602916$ |
$145531576/304317$ |
$0.83336$ |
$2.82983$ |
$[0, 1, 0, 351, -3969]$ |
\(y^2=x^3+x^2+351x-3969\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(26, 153)]$ |
| 63648.f2 |
63648r2 |
63648.f |
63648r |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$3.108585606$ |
$1$ |
|
$11$ |
$40960$ |
$0.805649$ |
$145531576/304317$ |
$0.83336$ |
$2.94604$ |
$[0, 0, 0, 789, 13790]$ |
\(y^2=x^3+789x+13790\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(37, 306), (661, 17010)]$ |
| 63648.h2 |
63648h2 |
63648.h |
63648h |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$5.005350039$ |
$1$ |
|
$3$ |
$40960$ |
$0.805649$ |
$145531576/304317$ |
$0.83336$ |
$2.94604$ |
$[0, 0, 0, 789, -13790]$ |
\(y^2=x^3+789x-13790\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(57/2, 149/2)]$ |
| 127296.dc2 |
127296bm2 |
127296.dc |
127296bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$1.152222$ |
$145531576/304317$ |
$0.83336$ |
$3.12613$ |
$[0, 0, 0, 3156, -110320]$ |
\(y^2=x^3+3156x-110320\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 127296.de2 |
127296bl2 |
127296.de |
127296bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{10} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$1.152222$ |
$145531576/304317$ |
$0.83336$ |
$3.12613$ |
$[0, 0, 0, 3156, 110320]$ |
\(y^2=x^3+3156x+110320\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 275808.d2 |
275808d2 |
275808.d |
275808d |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$1.538816$ |
$145531576/304317$ |
$0.83336$ |
$3.30351$ |
$[0, -1, 0, 14816, -1127036]$ |
\(y^2=x^3-x^2+14816x-1127036\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 275808.bg2 |
275808bg2 |
275808.bg |
275808bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$1.538816$ |
$145531576/304317$ |
$0.83336$ |
$3.30351$ |
$[0, 1, 0, 14816, 1127036]$ |
\(y^2=x^3+x^2+14816x+1127036\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 360672.e2 |
360672e2 |
360672.e |
360672e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1474560$ |
$1.672949$ |
$145531576/304317$ |
$0.83336$ |
$3.36004$ |
$[0, -1, 0, 25336, 2500824]$ |
\(y^2=x^3-x^2+25336x+2500824\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 360672.be2 |
360672be2 |
360672.be |
360672be |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13 \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$8.442662920$ |
$1$ |
|
$9$ |
$1474560$ |
$1.672949$ |
$145531576/304317$ |
$0.83336$ |
$3.36004$ |
$[0, 1, 0, 25336, -2500824]$ |
\(y^2=x^3+x^2+25336x-2500824\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(130, 1734), (3565/2, 215973/2)]$ |
