| 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 |
| 63.a1 |
63a5 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{7} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.38 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$32$ |
$0.623511$ |
$53297461115137/147$ |
$1.05087$ |
$9.21973$ |
$[1, -1, 0, -7056, 229905]$ |
\(y^2+xy=x^3-x^2-7056x+229905\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 12.24.0-12.h.1.2, 16.48.0-16.e.2.10, $\ldots$ |
$[]$ |
| 63.a2 |
63a4 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.18 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.276938$ |
$13027640977/21609$ |
$1.08149$ |
$7.21242$ |
$[1, -1, 0, -441, 3672]$ |
\(y^2+xy=x^3-x^2-441x+3672\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.8, 12.48.0-12.c.1.2, 24.96.0-24.j.2.4, $\ldots$ |
$[]$ |
| 63.a3 |
63a3 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.98 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.276938$ |
$6570725617/45927$ |
$1.00160$ |
$7.04722$ |
$[1, -1, 0, -351, -2430]$ |
\(y^2+xy=x^3-x^2-351x-2430\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.8, $\ldots$ |
$[]$ |
| 63.a4 |
63a6 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( - 3^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.183 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.623511$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.44565$ |
$[1, -1, 0, -306, 5859]$ |
\(y^2+xy=x^3-x^2-306x+5859\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.6, 12.24.0-12.g.1.1, $\ldots$ |
$[]$ |
| 63.a5 |
63a2 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.66 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.069636$ |
$7189057/3969$ |
$1.14862$ |
$5.40165$ |
$[1, -1, 0, -36, 27]$ |
\(y^2+xy=x^3-x^2-36x+27\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.6, 12.24.0-4.b.1.3, 24.96.0-24.w.2.1, $\ldots$ |
$[]$ |
| 63.a6 |
63a1 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( - 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.84 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.416209$ |
$103823/63$ |
$0.97868$ |
$4.37884$ |
$[1, -1, 0, 9, 0]$ |
\(y^2+xy=x^3-x^2+9x\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[]$ |
