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 |
988.a1 |
988d2 |
988.a |
988d |
$2$ |
$3$ |
\( 2^{2} \cdot 13 \cdot 19 \) |
\( - 2^{4} \cdot 13^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1482$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$324$ |
$0.419284$ |
$-48795070432000/41743$ |
$0.92310$ |
$4.97286$ |
$[0, 1, 0, -1918, -32979]$ |
\(y^2=x^3+x^2-1918x-32979\) |
3.8.0-3.a.1.1, 494.2.0.?, 1482.16.0.? |
$[ ]$ |
988.a2 |
988d1 |
988.a |
988d |
$2$ |
$3$ |
\( 2^{2} \cdot 13 \cdot 19 \) |
\( - 2^{4} \cdot 13 \cdot 19^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1482$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$108$ |
$-0.130022$ |
$-42592000/89167$ |
$0.79553$ |
$3.17150$ |
$[0, 1, 0, -18, -71]$ |
\(y^2=x^3+x^2-18x-71\) |
3.8.0-3.a.1.2, 494.2.0.?, 1482.16.0.? |
$[ ]$ |
988.b1 |
988c1 |
988.b |
988c |
$1$ |
$1$ |
\( 2^{2} \cdot 13 \cdot 19 \) |
\( - 2^{8} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.193381571$ |
$1$ |
|
$4$ |
$120$ |
$-0.180277$ |
$1769472/3211$ |
$1.10590$ |
$3.00045$ |
$[0, 0, 0, 16, 36]$ |
\(y^2=x^3+16x+36\) |
38.2.0.a.1 |
$[(8, 26)]$ |
988.c1 |
988b1 |
988.c |
988b |
$1$ |
$1$ |
\( 2^{2} \cdot 13 \cdot 19 \) |
\( - 2^{4} \cdot 13 \cdot 19^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$0.307349888$ |
$1$ |
|
$6$ |
$13260$ |
$2.325428$ |
$-328568038616615609088/546688785009341767$ |
$1.05426$ |
$7.44936$ |
$[0, 0, 0, -362249, 165197113]$ |
\(y^2=x^3-362249x+165197113\) |
494.2.0.? |
$[(18309, 2476099)]$ |
988.d1 |
988a1 |
988.d |
988a |
$1$ |
$1$ |
\( 2^{2} \cdot 13 \cdot 19 \) |
\( - 2^{4} \cdot 13^{5} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$494$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$420$ |
$0.233699$ |
$10150866176/7054567$ |
$0.87568$ |
$3.74342$ |
$[0, -1, 0, 114, -247]$ |
\(y^2=x^3-x^2+114x-247\) |
494.2.0.? |
$[ ]$ |