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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
10005.c1 |
10005f1 |
10005.c |
10005f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.130966506$ |
$1$ |
|
$5$ |
$2048$ |
$-0.265641$ |
$7088952961/50025$ |
$[1, 1, 1, -40, 80]$ |
\(y^2+xy+y=x^3+x^2-40x+80\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(4, 0)]$ |
30015.m1 |
30015e1 |
30015.m |
30015e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$2.503967886$ |
$1$ |
|
$3$ |
$16384$ |
$0.283665$ |
$7088952961/50025$ |
$[1, -1, 0, -360, -2525]$ |
\(y^2+xy=x^3-x^2-360x-2525\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(26, 59)]$ |
50025.w1 |
50025u1 |
50025.w |
50025u |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{8} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$0.539078$ |
$7088952961/50025$ |
$[1, 0, 1, -1001, 12023]$ |
\(y^2+xy+y=x^3-1001x+12023\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[]$ |
150075.f1 |
150075f1 |
150075.f |
150075f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{8} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.088385$ |
$7088952961/50025$ |
$[1, -1, 1, -9005, -324628]$ |
\(y^2+xy+y=x^3-x^2-9005x-324628\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[]$ |
160080.ct1 |
160080m1 |
160080.ct |
160080m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$0.427506$ |
$7088952961/50025$ |
$[0, 1, 0, -640, -6412]$ |
\(y^2=x^3+x^2-640x-6412\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[]$ |
230115.c1 |
230115c1 |
230115.c |
230115c |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3 \cdot 5^{2} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$7.785859686$ |
$1$ |
|
$3$ |
$1081344$ |
$1.302107$ |
$7088952961/50025$ |
$[1, 1, 1, -21171, -1187232]$ |
\(y^2+xy+y=x^3+x^2-21171x-1187232\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(2322, 110534)]$ |
290145.w1 |
290145w1 |
290145.w |
290145w |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$7.330011711$ |
$1$ |
|
$1$ |
$1720320$ |
$1.418007$ |
$7088952961/50025$ |
$[1, 0, 1, -33658, 2359343]$ |
\(y^2+xy+y=x^3-33658x+2359343\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(2719/6, 99635/6)]$ |
480240.ch1 |
480240ch1 |
480240.ch |
480240ch |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1.269121491$ |
$1$ |
|
$7$ |
$1048576$ |
$0.976812$ |
$7088952961/50025$ |
$[0, 0, 0, -5763, 167362]$ |
\(y^2=x^3-5763x+167362\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[(47, 18)]$ |
490245.s1 |
490245s1 |
490245.s |
490245s |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{2} \cdot 7^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$0.707314$ |
$7088952961/50025$ |
$[1, 0, 0, -1961, -33384]$ |
\(y^2+xy=x^3-1961x-33384\) |
2.3.0.a.1, 20.6.0.b.1, 4002.6.0.?, 40020.12.0.? |
$[]$ |