| 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 |
| 32370.bj2 |
32370bg1 |
32370.bj |
32370bg |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{7} \cdot 13 \cdot 83 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$75530$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$812224$ |
$2.299004$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$4.91043$ |
$1$ |
$[1, 0, 0, -286625, 137015625]$ |
\(y^2+xy=x^3-286625x+137015625\) |
7.48.0-7.a.1.2, 10790.2.0.?, 75530.96.2.? |
$[ ]$ |
$1$ |
| 97110.p2 |
97110m1 |
97110.p |
97110m |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{20} \cdot 5^{7} \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$226590$ |
$96$ |
$2$ |
$19.57839355$ |
$1$ |
|
$0$ |
$6497792$ |
$2.848309$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$5.01466$ |
$1$ |
$[1, -1, 0, -2579625, -3699421875]$ |
\(y^2+xy=x^3-x^2-2579625x-3699421875\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 10790.2.0.?, 75530.48.2.?, 226590.96.2.? |
$[(2804930722/839, 129927748669321/839)]$ |
$1$ |
| 161850.h2 |
161850cy1 |
161850.h |
161850cy |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{13} \cdot 13 \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$75530$ |
$96$ |
$2$ |
$2.118944193$ |
$1$ |
|
$4$ |
$19493376$ |
$3.103722$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$5.05663$ |
$1$ |
$[1, 1, 0, -7165625, 17126953125]$ |
\(y^2+xy=x^3+x^2-7165625x+17126953125\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 10790.2.0.?, 15106.48.0.?, 75530.96.2.? |
$[(2834, 138551)]$ |
$1$ |
| 258960.ba2 |
258960ba1 |
258960.ba |
258960ba |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 83 \) |
\( - 2^{26} \cdot 3^{14} \cdot 5^{7} \cdot 13 \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$151060$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$19493376$ |
$2.992149$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$4.75854$ |
$1$ |
$[0, -1, 0, -4586000, -8769000000]$ |
\(y^2=x^3-x^2-4586000x-8769000000\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 10790.2.0.?, 75530.48.2.?, 151060.96.2.? |
$[ ]$ |
$1$ |
| 420810.bk2 |
420810bk1 |
420810.bk |
420810bk |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 83 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{7} \cdot 13^{7} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$75530$ |
$96$ |
$2$ |
$2.340525204$ |
$1$ |
|
$2$ |
$136453632$ |
$3.581478$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$5.12623$ |
$1$ |
$[1, 0, 1, -48439629, 301071767752]$ |
\(y^2+xy+y=x^3-48439629x+301071767752\) |
7.24.0.a.1, 91.48.0.?, 5810.48.0.?, 10790.2.0.?, 75530.96.2.? |
$[(1379, 486030)]$ |
$1$ |
| 485550.ed2 |
485550ed1 |
485550.ed |
485550ed |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 83 \) |
\( - 2^{14} \cdot 3^{20} \cdot 5^{13} \cdot 13 \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$226590$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$155947008$ |
$3.653027$ |
$-2604150083359733274001/6605854145280000000$ |
$0.97468$ |
$5.13578$ |
$1$ |
$[1, -1, 1, -64490630, -462492225003]$ |
\(y^2+xy+y=x^3-x^2-64490630x-462492225003\) |
7.24.0.a.1, 105.48.0.?, 10790.2.0.?, 45318.48.0.?, 75530.48.2.?, $\ldots$ |
$[ ]$ |
$1$ |
