| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 9528.b1 |
9528a1 |
9528.b |
9528a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 397 \) |
\( 2^{10} \cdot 3^{7} \cdot 397 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7616$ |
$0.614007$ |
$534671911588/868239$ |
$0.87967$ |
$3.70404$ |
$1$ |
$[0, -1, 0, -1704, 27612]$ |
\(y^2=x^3-x^2-1704x+27612\) |
4764.2.0.? |
$[ ]$ |
$1$ |
| 19056.q1 |
19056e1 |
19056.q |
19056e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 397 \) |
\( 2^{10} \cdot 3^{7} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$0.687546811$ |
$1$ |
|
$4$ |
$15232$ |
$0.614007$ |
$534671911588/868239$ |
$0.87967$ |
$3.44352$ |
$1$ |
$[0, 1, 0, -1704, -27612]$ |
\(y^2=x^3+x^2-1704x-27612\) |
4764.2.0.? |
$[(-24, 6)]$ |
$1$ |
| 28584.b1 |
28584i1 |
28584.b |
28584i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 397 \) |
\( 2^{10} \cdot 3^{13} \cdot 397 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60928$ |
$1.163313$ |
$534671911588/868239$ |
$0.87967$ |
$3.94987$ |
$1$ |
$[0, 0, 0, -15339, -730186]$ |
\(y^2=x^3-15339x-730186\) |
4764.2.0.? |
$[ ]$ |
$1$ |
| 57168.c1 |
57168i1 |
57168.c |
57168i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 397 \) |
\( 2^{10} \cdot 3^{13} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$0.587603253$ |
$1$ |
|
$4$ |
$121856$ |
$1.163313$ |
$534671911588/868239$ |
$0.87967$ |
$3.69993$ |
$1$ |
$[0, 0, 0, -15339, 730186]$ |
\(y^2=x^3-15339x+730186\) |
4764.2.0.? |
$[(35, 486)]$ |
$1$ |
| 76224.b1 |
76224y1 |
76224.b |
76224y |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 397 \) |
\( 2^{16} \cdot 3^{7} \cdot 397 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$121856$ |
$0.960581$ |
$534671911588/868239$ |
$0.87967$ |
$3.38883$ |
$1$ |
$[0, -1, 0, -6817, -214079]$ |
\(y^2=x^3-x^2-6817x-214079\) |
4764.2.0.? |
$[ ]$ |
$1$ |
| 76224.v1 |
76224p1 |
76224.v |
76224p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 397 \) |
\( 2^{16} \cdot 3^{7} \cdot 397 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$0.336629714$ |
$1$ |
|
$20$ |
$121856$ |
$0.960581$ |
$534671911588/868239$ |
$0.87967$ |
$3.38883$ |
$1$ |
$[0, 1, 0, -6817, 214079]$ |
\(y^2=x^3+x^2-6817x+214079\) |
4764.2.0.? |
$[(59, 144), (41, 72)]$ |
$1$ |
| 228672.de1 |
228672ba1 |
228672.de |
228672ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 397 \) |
\( 2^{16} \cdot 3^{13} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$2.826199391$ |
$1$ |
|
$2$ |
$974848$ |
$1.509888$ |
$534671911588/868239$ |
$0.87967$ |
$3.62130$ |
$1$ |
$[0, 0, 0, -61356, 5841488]$ |
\(y^2=x^3-61356x+5841488\) |
4764.2.0.? |
$[(112, 612)]$ |
$1$ |
| 228672.dl1 |
228672cx1 |
228672.dl |
228672cx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 397 \) |
\( 2^{16} \cdot 3^{13} \cdot 397 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$974848$ |
$1.509888$ |
$534671911588/868239$ |
$0.87967$ |
$3.62130$ |
$1$ |
$[0, 0, 0, -61356, -5841488]$ |
\(y^2=x^3-61356x-5841488\) |
4764.2.0.? |
$[ ]$ |
$1$ |
| 238200.l1 |
238200l1 |
238200.l |
238200l |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 397 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1.117015198$ |
$1$ |
|
$4$ |
$822528$ |
$1.418726$ |
$534671911588/868239$ |
$0.87967$ |
$3.52100$ |
$1$ |
$[0, 1, 0, -42608, 3366288]$ |
\(y^2=x^3+x^2-42608x+3366288\) |
4764.2.0.? |
$[(112, 108)]$ |
$1$ |
| 466872.j1 |
466872j1 |
466872.j |
466872j |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 397 \) |
\( 2^{10} \cdot 3^{7} \cdot 7^{6} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$1.665083000$ |
$1$ |
|
$4$ |
$2878848$ |
$1.586962$ |
$534671911588/868239$ |
$0.87967$ |
$3.49414$ |
$1$ |
$[0, 1, 0, -83512, -9303904]$ |
\(y^2=x^3+x^2-83512x-9303904\) |
4764.2.0.? |
$[(-172, 36)]$ |
$1$ |
| 476400.u1 |
476400u1 |
476400.u |
476400u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 397 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 397 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4764$ |
$2$ |
$0$ |
$3.244233604$ |
$1$ |
|
$2$ |
$1645056$ |
$1.418726$ |
$534671911588/868239$ |
$0.87967$ |
$3.33433$ |
$1$ |
$[0, -1, 0, -42608, -3366288]$ |
\(y^2=x^3-x^2-42608x-3366288\) |
4764.2.0.? |
$[(-122, 34)]$ |
$1$ |