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 |
51870.h2 |
51870f1 |
51870.h |
51870f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33280$ |
$0.514852$ |
$-23711636464489/1513774080$ |
$0.84493$ |
$2.84637$ |
$[1, 1, 0, -598, -6188]$ |
\(y^2+xy=x^3+x^2-598x-6188\) |
2.3.0.a.1, 456.6.0.?, 910.6.0.?, 207480.12.0.? |
$[]$ |
155610.ew2 |
155610k1 |
155610.ew |
155610k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$0.757994858$ |
$1$ |
|
$7$ |
$266240$ |
$1.064157$ |
$-23711636464489/1513774080$ |
$0.84493$ |
$3.13617$ |
$[1, -1, 1, -5387, 161691]$ |
\(y^2+xy+y=x^3-x^2-5387x+161691\) |
2.3.0.a.1, 456.6.0.?, 910.6.0.?, 207480.12.0.? |
$[(59, 186)]$ |
259350.fv2 |
259350fv1 |
259350.fv |
259350fv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$798720$ |
$1.319571$ |
$-23711636464489/1513774080$ |
$0.84493$ |
$3.25353$ |
$[1, 0, 0, -14963, -743583]$ |
\(y^2+xy=x^3-14963x-743583\) |
2.3.0.a.1, 456.6.0.?, 910.6.0.?, 207480.12.0.? |
$[]$ |
363090.dv2 |
363090dv1 |
363090.dv |
363090dv |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1597440$ |
$1.487806$ |
$-23711636464489/1513774080$ |
$0.84493$ |
$3.32571$ |
$[1, 0, 1, -29328, 2034526]$ |
\(y^2+xy+y=x^3-29328x+2034526\) |
2.3.0.a.1, 456.6.0.?, 910.6.0.?, 207480.12.0.? |
$[]$ |
414960.eo2 |
414960eo1 |
414960.eo |
414960eo |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$207480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$798720$ |
$1.207998$ |
$-23711636464489/1513774080$ |
$0.84493$ |
$3.03182$ |
$[0, 1, 0, -9576, 376884]$ |
\(y^2=x^3+x^2-9576x+376884\) |
2.3.0.a.1, 456.6.0.?, 910.6.0.?, 207480.12.0.? |
$[]$ |