| 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 |
| 5304.b2 |
5304k3 |
5304.b |
5304k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$0.992115053$ |
$1$ |
|
$17$ |
$6144$ |
$0.792874$ |
$161838334948/87947613$ |
$0.93419$ |
$3.81769$ |
$[0, -1, 0, -1144, 4060]$ |
\(y^2=x^3-x^2-1144x+4060\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 408.24.0.?, $\ldots$ |
$[(-18, 136), (33, 34)]$ |
| 10608.r2 |
10608l4 |
10608.r |
10608l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$0.792874$ |
$161838334948/87947613$ |
$0.93419$ |
$3.53221$ |
$[0, 1, 0, -1144, -4060]$ |
\(y^2=x^3+x^2-1144x-4060\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 408.24.0.?, $\ldots$ |
$[]$ |
| 15912.n2 |
15912h4 |
15912.n |
15912h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$2.582392749$ |
$1$ |
|
$3$ |
$49152$ |
$1.342180$ |
$161838334948/87947613$ |
$0.93419$ |
$4.06550$ |
$[0, 0, 0, -10299, -99322]$ |
\(y^2=x^3-10299x-99322\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-41, 504)]$ |
| 31824.bi2 |
31824n3 |
31824.bi |
31824n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1.715585168$ |
$1$ |
|
$5$ |
$98304$ |
$1.342180$ |
$161838334948/87947613$ |
$0.93419$ |
$3.79370$ |
$[0, 0, 0, -10299, 99322]$ |
\(y^2=x^3-10299x+99322\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-79, 648)]$ |
| 42432.bd2 |
42432bn3 |
42432.bd |
42432bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$2.656600044$ |
$1$ |
|
$5$ |
$98304$ |
$1.139448$ |
$161838334948/87947613$ |
$0.93419$ |
$3.46297$ |
$[0, -1, 0, -4577, -27903]$ |
\(y^2=x^3-x^2-4577x-27903\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(88, 493)]$ |
| 42432.cd2 |
42432t3 |
42432.cd |
42432t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1.449630935$ |
$1$ |
|
$5$ |
$98304$ |
$1.139448$ |
$161838334948/87947613$ |
$0.93419$ |
$3.46297$ |
$[0, 1, 0, -4577, 27903]$ |
\(y^2=x^3+x^2-4577x+27903\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-3, 204)]$ |
| 68952.q2 |
68952h3 |
68952.q |
68952h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13^{7} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.075348$ |
$161838334948/87947613$ |
$0.93419$ |
$4.32011$ |
$[0, -1, 0, -193392, 8146332]$ |
\(y^2=x^3-x^2-193392x+8146332\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 408.24.0.?, $\ldots$ |
$[]$ |
| 90168.be2 |
90168be3 |
90168.be |
90168be |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$2.209480$ |
$161838334948/87947613$ |
$0.93419$ |
$4.35961$ |
$[0, 1, 0, -330712, 17962688]$ |
\(y^2=x^3+x^2-330712x+17962688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
| 127296.l2 |
127296j3 |
127296.l |
127296j |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.688753$ |
$161838334948/87947613$ |
$0.93419$ |
$3.70009$ |
$[0, 0, 0, -41196, -794576]$ |
\(y^2=x^3-41196x-794576\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
| 127296.bk2 |
127296ci3 |
127296.bk |
127296ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$4.691461269$ |
$1$ |
|
$3$ |
$786432$ |
$1.688753$ |
$161838334948/87947613$ |
$0.93419$ |
$3.70009$ |
$[0, 0, 0, -41196, 794576]$ |
\(y^2=x^3-41196x+794576\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-16, 1204)]$ |
| 132600.ck2 |
132600bw4 |
132600.ck |
132600bw |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.597593$ |
$161838334948/87947613$ |
$0.93419$ |
$3.59454$ |
$[0, 1, 0, -28608, 450288]$ |
\(y^2=x^3+x^2-28608x+450288\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
| 137904.ct2 |
137904cq3 |
137904.ct |
137904cq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 13^{7} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1.995261610$ |
$1$ |
|
$9$ |
$2064384$ |
$2.075348$ |
$161838334948/87947613$ |
$0.93419$ |
$4.06707$ |
$[0, 1, 0, -193392, -8146332]$ |
\(y^2=x^3+x^2-193392x-8146332\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 408.24.0.?, $\ldots$ |
$[(-48, 1014)]$ |
| 180336.bd2 |
180336da3 |
180336.bd |
180336da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.209480$ |
$161838334948/87947613$ |
$0.93419$ |
$4.10992$ |
$[0, -1, 0, -330712, -17962688]$ |
\(y^2=x^3-x^2-330712x-17962688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
| 206856.l2 |
206856g3 |
206856.l |
206856g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$3.338049836$ |
$1$ |
|
$1$ |
$8257536$ |
$2.624653$ |
$161838334948/87947613$ |
$0.93419$ |
$4.47089$ |
$[0, 0, 0, -1740531, -218210434]$ |
\(y^2=x^3-1740531x-218210434\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-3263/2, 205335/2)]$ |
| 259896.cm2 |
259896cm3 |
259896.cm |
259896cm |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{6} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.765829$ |
$161838334948/87947613$ |
$0.93419$ |
$3.56245$ |
$[0, 1, 0, -56072, -1280448]$ |
\(y^2=x^3+x^2-56072x-1280448\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 28.12.0-4.c.1.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
| 265200.h2 |
265200h3 |
265200.h |
265200h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1.442078352$ |
$1$ |
|
$7$ |
$1572864$ |
$1.597593$ |
$161838334948/87947613$ |
$0.93419$ |
$3.39503$ |
$[0, -1, 0, -28608, -450288]$ |
\(y^2=x^3-x^2-28608x-450288\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-48, 900)]$ |
| 270504.n2 |
270504n3 |
270504.n |
270504n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$5.964153727$ |
$1$ |
|
$1$ |
$14155776$ |
$2.758785$ |
$161838334948/87947613$ |
$0.93419$ |
$4.50369$ |
$[0, 0, 0, -2976411, -487968986]$ |
\(y^2=x^3-2976411x-487968986\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-40681/5, 853128/5)]$ |
| 397800.ef2 |
397800ef3 |
397800.ef |
397800ef |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.146900$ |
$161838334948/87947613$ |
$0.93419$ |
$3.79950$ |
$[0, 0, 0, -257475, -12415250]$ |
\(y^2=x^3-257475x-12415250\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 413712.v2 |
413712v4 |
413712.v |
413712v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{7} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$2.481524081$ |
$1$ |
|
$17$ |
$16515072$ |
$2.624653$ |
$161838334948/87947613$ |
$0.93419$ |
$4.23127$ |
$[0, 0, 0, -1740531, 218210434]$ |
\(y^2=x^3-1740531x+218210434\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-325, 27378), (-1339, 12168)]$ |
