| 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 |
| 60690.bq1 |
60690bn1 |
60690.bq |
60690bn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.165685374$ |
$1$ |
|
$8$ |
$46080$ |
$0.594497$ |
$-142843688929/16800000$ |
$0.90037$ |
$2.86343$ |
$[1, 1, 1, -720, 7857]$ |
\(y^2+xy+y=x^3+x^2-720x+7857\) |
420.2.0.? |
$[(-3, 101)]$ |
| 60690.bx1 |
60690by1 |
60690.bx |
60690by |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$4.486577262$ |
$1$ |
|
$2$ |
$783360$ |
$2.011105$ |
$-142843688929/16800000$ |
$0.90037$ |
$4.40692$ |
$[1, 0, 0, -208086, 40058916]$ |
\(y^2+xy=x^3-208086x+40058916\) |
420.2.0.? |
$[(260, 1754)]$ |
| 182070.g1 |
182070dg1 |
182070.g |
182070dg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{5} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.143803$ |
$-142843688929/16800000$ |
$0.90037$ |
$3.14792$ |
$[1, -1, 0, -6480, -218624]$ |
\(y^2+xy=x^3-x^2-6480x-218624\) |
420.2.0.? |
$[]$ |
| 182070.bq1 |
182070co1 |
182070.bq |
182070co |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{5} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.849372681$ |
$1$ |
|
$2$ |
$6266880$ |
$2.560410$ |
$-142843688929/16800000$ |
$0.90037$ |
$4.55142$ |
$[1, -1, 0, -1872774, -1081590732]$ |
\(y^2+xy=x^3-x^2-1872774x-1081590732\) |
420.2.0.? |
$[(10332, 1035234)]$ |
| 303450.h1 |
303450h1 |
303450.h |
303450h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{11} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18800640$ |
$2.815823$ |
$-142843688929/16800000$ |
$0.90037$ |
$4.61004$ |
$[1, 1, 0, -5202150, 5007364500]$ |
\(y^2+xy=x^3+x^2-5202150x+5007364500\) |
420.2.0.? |
$[]$ |
| 303450.df1 |
303450df1 |
303450.df |
303450df |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{11} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.795481258$ |
$1$ |
|
$2$ |
$1105920$ |
$1.399216$ |
$-142843688929/16800000$ |
$0.90037$ |
$3.26334$ |
$[1, 0, 1, -18001, 1018148]$ |
\(y^2+xy+y=x^3-18001x+1018148\) |
420.2.0.? |
$[(-138, 1006)]$ |
| 424830.fu1 |
424830fu1 |
424830.fu |
424830fu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 7^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.041065824$ |
$1$ |
|
$4$ |
$37601280$ |
$2.984058$ |
$-142843688929/16800000$ |
$0.90037$ |
$4.64612$ |
$[1, 1, 1, -10196215, -13750404403]$ |
\(y^2+xy+y=x^3+x^2-10196215x-13750404403\) |
420.2.0.? |
$[(3877, 68866)]$ |
| 424830.hd1 |
424830hd1 |
424830.hd |
424830hd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 7^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$1.567451$ |
$-142843688929/16800000$ |
$0.90037$ |
$3.33440$ |
$[1, 0, 0, -35281, -2800855]$ |
\(y^2+xy=x^3-35281x-2800855\) |
420.2.0.? |
$[]$ |
| 485520.s1 |
485520s1 |
485520.s |
485520s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$42.57331460$ |
$1$ |
|
$0$ |
$18800640$ |
$2.704250$ |
$-142843688929/16800000$ |
$0.90037$ |
$4.34229$ |
$[0, -1, 0, -3329376, -2563770624]$ |
\(y^2=x^3-x^2-3329376x-2563770624\) |
420.2.0.? |
$[(4109841703205729930/43783979, 1018690727480641257483116246/43783979)]$ |
| 485520.hy1 |
485520hy1 |
485520.hy |
485520hy |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{5} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$4.704179327$ |
$1$ |
|
$2$ |
$1105920$ |
$1.287643$ |
$-142843688929/16800000$ |
$0.90037$ |
$3.04394$ |
$[0, 1, 0, -11520, -525900]$ |
\(y^2=x^3+x^2-11520x-525900\) |
420.2.0.? |
$[(1460, 55650)]$ |
