| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 35090.f1 |
35090c1 |
35090.f |
35090c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 5^{23} \cdot 11^{10} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$81$ |
$3$ |
$0$ |
$94723200$ |
$4.798286$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$7.94315$ |
$1$ |
$[1, 0, 1, -22376989924, -1303266065395934]$ |
\(y^2+xy+y=x^3-22376989924x-1303266065395934\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 35090.v1 |
35090t1 |
35090.v |
35090t |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 5^{23} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8611200$ |
$3.599339$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$6.56843$ |
$1$ |
$[1, 0, 0, -184933801, 979146272281]$ |
\(y^2+xy=x^3-184933801x+979146272281\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 175450.n1 |
175450ca1 |
175450.n |
175450ca |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 5^{29} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$5.040222915$ |
$1$ |
|
$2$ |
$206668800$ |
$4.404053$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$6.49267$ |
$1$ |
$[1, 1, 0, -4623345025, 122393284035125]$ |
\(y^2+xy=x^3+x^2-4623345025x+122393284035125\) |
20.2.0.a.1 |
$[(5770, 9790415)]$ |
$1$ |
| 175450.cb1 |
175450n1 |
175450.cb |
175450n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 5^{29} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$108.5260969$ |
$1$ |
|
$0$ |
$2273356800$ |
$5.603004$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$7.68416$ |
$1$ |
$[1, 1, 1, -559424748088, -162908258174491719]$ |
\(y^2+xy+y=x^3+x^2-559424748088x-162908258174491719\) |
20.2.0.a.1 |
$[(867252170397687832531209626445358126133111974371/1001166159292856864701, 27908213538076113189418456293910015849579319560069639998996245556947373/1001166159292856864701)]$ |
$1$ |
| 280720.ba1 |
280720ba1 |
280720.ba |
280720ba |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{18} \cdot 5^{23} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$90.93190385$ |
$1$ |
|
$0$ |
$2273356800$ |
$5.491432$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$7.28955$ |
$1$ |
$[0, -1, 0, -358031838776, 83409028185339760]$ |
\(y^2=x^3-x^2-358031838776x+83409028185339760\) |
20.2.0.a.1 |
$[(36346245856071519753542595219338077251954/235529694329988469, 4712529189474566032235692113780788455065722862521156287259558/235529694329988469)]$ |
$1$ |
| 280720.bd1 |
280720bd1 |
280720.bd |
280720bd |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{18} \cdot 5^{23} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$206668800$ |
$4.292480$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$6.14270$ |
$1$ |
$[0, -1, 0, -2958940816, -62665361425984]$ |
\(y^2=x^3-x^2-2958940816x-62665361425984\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 315810.bo1 |
315810bo1 |
315810.bo |
315810bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{23} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258336000$ |
$4.148643$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$5.94925$ |
$1$ |
$[1, -1, 0, -1664404209, -26436949351587]$ |
\(y^2+xy=x^3-x^2-1664404209x-26436949351587\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
| 315810.ef1 |
315810ef1 |
315810.ef |
315810ef |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{23} \cdot 11^{10} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2841696000$ |
$5.347588$ |
$-47775128018219679877809889/641632080078125000000$ |
$1.04043$ |
$7.08543$ |
$1$ |
$[1, -1, 1, -201392909312, 35188183765690211]$ |
\(y^2+xy+y=x^3-x^2-201392909312x+35188183765690211\) |
20.2.0.a.1 |
$[ ]$ |
$1$ |
