| 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 |
| 2072.a1 |
2072e1 |
2072.a |
2072e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( 2^{4} \cdot 7^{2} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2448$ |
$0.907740$ |
$33256413948450816/2481997$ |
$1.11932$ |
$5.34497$ |
$[0, 0, 0, -16882, -844275]$ |
\(y^2=x^3-16882x-844275\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[]$ |
| 2072.a2 |
2072e2 |
2072.a |
2072e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( - 2^{8} \cdot 7 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4896$ |
$1.254314$ |
$-2065624967846736/17960084863$ |
$1.06882$ |
$5.34611$ |
$[0, 0, 0, -16847, -847950]$ |
\(y^2=x^3-16847x-847950\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
| 2072.b1 |
2072d1 |
2072.b |
2072d |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( - 2^{8} \cdot 7^{7} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$1.373537$ |
$-15283295882302464/41714923579$ |
$1.00656$ |
$5.60685$ |
$[0, 0, 0, -32828, 2294756]$ |
\(y^2=x^3-32828x+2294756\) |
518.2.0.? |
$[]$ |
| 2072.c1 |
2072a1 |
2072.c |
2072a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( 2^{4} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$0.849649255$ |
$1$ |
|
$5$ |
$112$ |
$-0.434913$ |
$6912000/1813$ |
$0.92588$ |
$2.42545$ |
$[0, 0, 0, -10, 9]$ |
\(y^2=x^3-10x+9\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[(0, 3)]$ |
| 2072.c2 |
2072a2 |
2072.c |
2072a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( - 2^{8} \cdot 7 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1.699298510$ |
$1$ |
|
$3$ |
$224$ |
$-0.088339$ |
$6750000/9583$ |
$0.85629$ |
$2.83437$ |
$[0, 0, 0, 25, 58]$ |
\(y^2=x^3+25x+58\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[(7, 24)]$ |
| 2072.d1 |
2072b1 |
2072.d |
2072b |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( - 2^{8} \cdot 7 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$0.476975638$ |
$1$ |
|
$4$ |
$192$ |
$-0.393622$ |
$27648/259$ |
$0.75618$ |
$2.42173$ |
$[0, 0, 0, 4, -12]$ |
\(y^2=x^3+4x-12\) |
518.2.0.? |
$[(2, 2)]$ |
| 2072.e1 |
2072c2 |
2072.e |
2072c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( 2^{11} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$9.354022090$ |
$1$ |
|
$1$ |
$1728$ |
$0.691491$ |
$169556172914/4353013$ |
$0.88931$ |
$4.38448$ |
$[0, -1, 0, -1464, -20596]$ |
\(y^2=x^3-x^2-1464x-20596\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[(10765/6, 1105417/6)]$ |
| 2072.e2 |
2072c1 |
2072.e |
2072c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37 \) |
\( - 2^{10} \cdot 7^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$4.677011045$ |
$1$ |
|
$3$ |
$864$ |
$0.344917$ |
$415292/469567$ |
$0.92128$ |
$3.59406$ |
$[0, -1, 0, 16, -1060]$ |
\(y^2=x^3-x^2+16x-1060\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[(298, 5136)]$ |
