| 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 |
| 26.a1 |
26a2 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.054386$ |
$-10730978619193/6656$ |
$1.02193$ |
$9.20911$ |
$[1, 0, 1, -460, -3830]$ |
\(y^2+xy+y=x^3-460x-3830\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ |
$[]$ |
| 26.a2 |
26a1 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2^{3} \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.494920$ |
$-10218313/17576$ |
$0.94717$ |
$5.37707$ |
$[1, 0, 1, -5, -8]$ |
\(y^2+xy+y=x^3-5x-8\) |
3.24.0-3.a.1.1, 104.2.0.?, 117.72.0.?, 312.48.1.?, 936.144.3.? |
$[]$ |
| 26.a3 |
26a3 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2 \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-1.044226$ |
$12167/26$ |
$0.84415$ |
$3.19113$ |
$[1, 0, 1, 0, 0]$ |
\(y^2+xy+y=x^3\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ |
$[]$ |
| 26.b1 |
26b2 |
26.b |
26b |
$2$ |
$7$ |
\( 2 \cdot 13 \) |
\( - 2 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$14$ |
$0.289794$ |
$-1064019559329/125497034$ |
$1.06269$ |
$8.55670$ |
$[1, -1, 1, -213, -1257]$ |
\(y^2+xy+y=x^3-x^2-213x-1257\) |
7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.? |
$[]$ |
| 26.b2 |
26b1 |
26.b |
26b |
$2$ |
$7$ |
\( 2 \cdot 13 \) |
\( - 2^{7} \cdot 13 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.683161$ |
$-2146689/1664$ |
$0.96784$ |
$4.73570$ |
$[1, -1, 1, -3, 3]$ |
\(y^2+xy+y=x^3-x^2-3x+3\) |
7.48.0-7.a.1.2, 104.2.0.?, 728.96.2.? |
$[]$ |
