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 |
47190.c1 |
47190a1 |
47190.c |
47190a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{3} \cdot 5^{5} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$348480$ |
$1.694691$ |
$27270901/2193750$ |
$0.92297$ |
$4.05407$ |
$[1, 1, 0, 8347, -3444393]$ |
\(y^2+xy=x^3+x^2+8347x-3444393\) |
17160.2.0.? |
$[]$ |
47190.bq1 |
47190bm1 |
47190.bq |
47190bm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{3} \cdot 5^{5} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31680$ |
$0.495742$ |
$27270901/2193750$ |
$0.92297$ |
$2.71720$ |
$[1, 1, 1, 69, 2619]$ |
\(y^2+xy+y=x^3+x^2+69x+2619\) |
17160.2.0.? |
$[]$ |
141570.by1 |
141570cz1 |
141570.by |
141570cz |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{9} \cdot 5^{5} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$0.760145846$ |
$1$ |
|
$4$ |
$253440$ |
$1.045048$ |
$27270901/2193750$ |
$0.92297$ |
$3.02128$ |
$[1, -1, 0, 621, -70097]$ |
\(y^2+xy=x^3-x^2+621x-70097\) |
17160.2.0.? |
$[(47, 224)]$ |
141570.em1 |
141570p1 |
141570.em |
141570p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{9} \cdot 5^{5} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$3.384989885$ |
$1$ |
|
$0$ |
$2787840$ |
$2.243996$ |
$27270901/2193750$ |
$0.92297$ |
$4.23432$ |
$[1, -1, 1, 75118, 93073731]$ |
\(y^2+xy+y=x^3-x^2+75118x+93073731\) |
17160.2.0.? |
$[(1211/2, 94617/2)]$ |
235950.do1 |
235950do1 |
235950.do |
235950do |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{3} \cdot 5^{11} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$0.698572786$ |
$1$ |
|
$4$ |
$760320$ |
$1.300461$ |
$27270901/2193750$ |
$0.92297$ |
$3.14427$ |
$[1, 0, 1, 1724, 323948]$ |
\(y^2+xy+y=x^3+1724x+323948\) |
17160.2.0.? |
$[(472, 10076)]$ |
235950.hs1 |
235950hs1 |
235950.hs |
235950hs |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{3} \cdot 5^{11} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$6.189693076$ |
$1$ |
|
$0$ |
$8363520$ |
$2.499409$ |
$27270901/2193750$ |
$0.92297$ |
$4.30723$ |
$[1, 0, 0, 208662, -430966458]$ |
\(y^2+xy=x^3+208662x-430966458\) |
17160.2.0.? |
$[(807993/32, 478710237/32)]$ |
377520.ep1 |
377520ep1 |
377520.ep |
377520ep |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{5} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8363520$ |
$2.387836$ |
$27270901/2193750$ |
$0.92297$ |
$4.04532$ |
$[0, 1, 0, 133544, 220708244]$ |
\(y^2=x^3+x^2+133544x+220708244\) |
17160.2.0.? |
$[]$ |
377520.fd1 |
377520fd1 |
377520.fd |
377520fd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{5} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$2.191206296$ |
$1$ |
|
$2$ |
$760320$ |
$1.188890$ |
$27270901/2193750$ |
$0.92297$ |
$2.92493$ |
$[0, 1, 0, 1104, -165420]$ |
\(y^2=x^3+x^2+1104x-165420\) |
17160.2.0.? |
$[(84, 726)]$ |