| 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 |
Manin constant |
| 10005.d4 |
10005e1 |
10005.d |
10005e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{12} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$80040$ |
$48$ |
$0$ |
$6.562466036$ |
$1$ |
|
$3$ |
$12288$ |
$1.018852$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.05083$ |
$[1, 1, 1, -5250, -144690]$ |
\(y^2+xy+y=x^3+x^2-5250x-144690\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 4002.6.0.?, 8004.24.0.?, $\ldots$ |
$[(-3857/9, 8252/9)]$ |
$1$ |
| 30015.o4 |
30015d1 |
30015.o |
30015d |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{12} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$10.79441512$ |
$1$ |
|
$1$ |
$98304$ |
$1.568157$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.25854$ |
$[1, -1, 0, -47250, 3859375]$ |
\(y^2+xy=x^3-x^2-47250x+3859375\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(144374/13, 52263665/13)]$ |
$1$ |
| 50025.t4 |
50025s1 |
50025.t |
50025s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{18} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.823570$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.34076$ |
$[1, 0, 1, -131251, -17823727]$ |
\(y^2+xy+y=x^3-131251x-17823727\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[ ]$ |
$1$ |
| 150075.e4 |
150075e1 |
150075.e |
150075e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{18} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.372875$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.49370$ |
$[1, -1, 1, -1181255, 481240622]$ |
\(y^2+xy+y=x^3-x^2-1181255x+481240622\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 160080.cp4 |
160080j1 |
160080.cp |
160080j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3 \cdot 5^{12} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$1.711998$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$3.80770$ |
$[0, 1, 0, -84000, 9092148]$ |
\(y^2=x^3+x^2-84000x+9092148\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 4002.6.0.?, 8004.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 230115.b4 |
230115b1 |
230115.b |
230115b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3 \cdot 5^{12} \cdot 23^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$18.26840433$ |
$1$ |
|
$1$ |
$6488064$ |
$2.586597$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.54585$ |
$[1, 1, 1, -2777261, 1732668458]$ |
\(y^2+xy+y=x^3+x^2-2777261x+1732668458\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 92.12.0.?, 348.12.0.?, $\ldots$ |
$[(84791138/143, 719289110071/143)]$ |
$1$ |
| 290145.y4 |
290145y1 |
290145.y |
290145y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3 \cdot 5^{12} \cdot 23 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$21.41150812$ |
$1$ |
|
$1$ |
$10321920$ |
$2.702499$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$4.57264$ |
$[1, 0, 1, -4415268, -3475856867]$ |
\(y^2+xy+y=x^3-4415268x-3475856867\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 116.12.0.?, 276.12.0.?, $\ldots$ |
$[(-10336884281/2814, 192478392423815/2814)]$ |
$1$ |
| 480240.bk4 |
480240bk1 |
480240.bk |
480240bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{12} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$6.140564732$ |
$1$ |
|
$3$ |
$6291456$ |
$2.261307$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$3.99181$ |
$[0, 0, 0, -756003, -246243998]$ |
\(y^2=x^3-756003x-246243998\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(3167, 170658)]$ |
$1$ |
| 490245.o4 |
490245o1 |
490245.o |
490245o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3 \cdot 5^{12} \cdot 7^{6} \cdot 23 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$560280$ |
$48$ |
$0$ |
$31.16174347$ |
$1$ |
|
$3$ |
$4718592$ |
$1.991806$ |
$16003198512756001/488525390625$ |
$0.91071$ |
$3.73871$ |
$[1, 0, 0, -257251, 48856856]$ |
\(y^2+xy=x^3-257251x+48856856\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 280.24.0.?, $\ldots$ |
$[(3025/3, 12343/3), (505, 6661)]$ |
$1$ |
