| 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 |
| 6670.d1 |
6670b1 |
6670.d |
6670b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7920$ |
$0.454246$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.28333$ |
$[1, -1, 0, -319, 1325]$ |
\(y^2+xy=x^3-x^2-319x+1325\) |
26680.2.0.? |
$[]$ |
| 33350.h1 |
33350m1 |
33350.h |
33350m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 5^{9} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$0.138458857$ |
$1$ |
|
$10$ |
$190080$ |
$1.258965$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.70315$ |
$[1, -1, 1, -7980, 157647]$ |
\(y^2+xy+y=x^3-x^2-7980x+157647\) |
26680.2.0.? |
$[(329, 5585)]$ |
| 53360.a1 |
53360q1 |
53360.a |
53360q |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$0.243696620$ |
$1$ |
|
$22$ |
$190080$ |
$1.147392$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.42024$ |
$[0, 0, 0, -5107, -79694]$ |
\(y^2=x^3-5107x-79694\) |
26680.2.0.? |
$[(-33, 230), (105, 736)]$ |
| 60030.bj1 |
60030bl1 |
60030.bj |
60030bl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$0.978397494$ |
$1$ |
|
$4$ |
$110880$ |
$1.003551$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.22675$ |
$[1, -1, 1, -2873, -32903]$ |
\(y^2+xy+y=x^3-x^2-2873x-32903\) |
26680.2.0.? |
$[(-13, 52)]$ |
| 153410.g1 |
153410n1 |
153410.g |
153410n |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 2^{5} \cdot 5^{3} \cdot 23^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4181760$ |
$2.021992$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.99669$ |
$[1, -1, 0, -168850, -15108364]$ |
\(y^2+xy=x^3-x^2-168850x-15108364\) |
26680.2.0.? |
$[]$ |
| 193430.f1 |
193430a1 |
193430.f |
193430a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 2^{5} \cdot 5^{3} \cdot 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$0.521614684$ |
$1$ |
|
$4$ |
$6652800$ |
$2.137894$ |
$3596344921161/1411372000$ |
$0.88221$ |
$4.03483$ |
$[1, -1, 1, -268437, 30436749]$ |
\(y^2+xy+y=x^3-x^2-268437x+30436749\) |
26680.2.0.? |
$[(-413, 8616)]$ |
| 213440.a1 |
213440y1 |
213440.a |
213440y |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{23} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1520640$ |
$1.493967$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.37277$ |
$[0, 0, 0, -20428, 637552]$ |
\(y^2=x^3-20428x+637552\) |
26680.2.0.? |
$[]$ |
| 213440.bv1 |
213440v1 |
213440.bv |
213440v |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{23} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1520640$ |
$1.493967$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.37277$ |
$[0, 0, 0, -20428, -637552]$ |
\(y^2=x^3-20428x-637552\) |
26680.2.0.? |
$[]$ |
| 266800.cd1 |
266800cd1 |
266800.cd |
266800cd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 5^{9} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4561920$ |
$1.952112$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.75255$ |
$[0, 0, 0, -127675, -9961750]$ |
\(y^2=x^3-127675x-9961750\) |
26680.2.0.? |
$[]$ |
| 300150.c1 |
300150c1 |
300150.c |
300150c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{9} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$5.549810885$ |
$1$ |
|
$2$ |
$2661120$ |
$1.808271$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.58065$ |
$[1, -1, 0, -71817, -4184659]$ |
\(y^2+xy=x^3-x^2-71817x-4184659\) |
26680.2.0.? |
$[(-97, 1413)]$ |
| 326830.a1 |
326830a1 |
326830.a |
326830a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 2^{5} \cdot 5^{3} \cdot 7^{6} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2280960$ |
$1.427200$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.19649$ |
$[1, -1, 0, -15640, -423200]$ |
\(y^2+xy=x^3-x^2-15640x-423200\) |
26680.2.0.? |
$[]$ |
| 480240.e1 |
480240e1 |
480240.e |
480240e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{17} \cdot 3^{6} \cdot 5^{3} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2661120$ |
$1.696699$ |
$3596344921161/1411372000$ |
$0.88221$ |
$3.34966$ |
$[0, 0, 0, -45963, 2151738]$ |
\(y^2=x^3-45963x+2151738\) |
26680.2.0.? |
$[]$ |
