| 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 |
| 22386.u2 |
22386bc1 |
22386.u |
22386bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{4} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6396$ |
$16$ |
$0$ |
$0.145279908$ |
$1$ |
|
$28$ |
$435456$ |
$2.164642$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$4.94421$ |
$[1, 0, 0, -307482, 41491044]$ |
\(y^2+xy=x^3-307482x+41491044\) |
3.8.0-3.a.1.2, 6396.16.0.? |
$[(84, 3990)]$ |
| 67158.z2 |
67158x1 |
67158.z |
67158x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{15} \cdot 7^{4} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6396$ |
$16$ |
$0$ |
$1.148619153$ |
$1$ |
|
$4$ |
$3483648$ |
$2.713951$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$5.04856$ |
$[1, -1, 0, -2767338, -1120258188]$ |
\(y^2+xy=x^3-x^2-2767338x-1120258188\) |
3.8.0-3.a.1.1, 6396.16.0.? |
$[(-1148, 23870)]$ |
| 156702.cc2 |
156702bo1 |
156702.cc |
156702bo |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{10} \cdot 13^{3} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20901888$ |
$3.137600$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$5.11596$ |
$[1, 1, 1, -15066619, -14246494711]$ |
\(y^2+xy+y=x^3+x^2-15066619x-14246494711\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 6396.8.0.?, 44772.16.0.? |
$[]$ |
| 179088.c2 |
179088ba1 |
179088.c |
179088ba |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{30} \cdot 3^{9} \cdot 7^{4} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6396$ |
$16$ |
$0$ |
$3.265865951$ |
$1$ |
|
$2$ |
$10450944$ |
$2.857792$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$4.78188$ |
$[0, -1, 0, -4919712, -2655426816]$ |
\(y^2=x^3-x^2-4919712x-2655426816\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 3198.8.0.?, 6396.16.0.? |
$[(-742, 24206)]$ |
| 291018.bp2 |
291018bp1 |
291018.bp |
291018bp |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{4} \cdot 13^{9} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6396$ |
$16$ |
$0$ |
$2.068373551$ |
$1$ |
|
$4$ |
$73156608$ |
$3.447117$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$5.15945$ |
$[1, 0, 1, -51964462, 91207788128]$ |
\(y^2+xy+y=x^3-51964462x+91207788128\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 492.8.0.?, 6396.16.0.? |
$[(-6971, 342173)]$ |
| 470106.n2 |
470106n1 |
470106.n |
470106n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{15} \cdot 7^{10} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$44772$ |
$16$ |
$0$ |
$5.562000355$ |
$1$ |
|
$2$ |
$167215104$ |
$3.686905$ |
$3215014175651328584353/1115930860975816704$ |
$0.97433$ |
$5.19032$ |
$[1, -1, 0, -135599571, 384519757621]$ |
\(y^2+xy=x^3-x^2-135599571x+384519757621\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 6396.8.0.?, 44772.16.0.? |
$[(205670, 93022541)]$ |
