| 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 |
| 64009.a1 |
64009c2 |
64009.a |
64009c |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{10} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$2024$ |
$480$ |
$16$ |
$18.35711287$ |
$1$ |
|
$0$ |
$830544$ |
$2.248734$ |
$-121$ |
$0.94611$ |
$4.54643$ |
$[1, 1, 1, -161356, -97589018]$ |
\(y^2+xy+y=x^3+x^2-161356x-97589018\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 253.120.1.?, $\ldots$ |
$[(1992265624/723, 87644544001094/723)]$ |
| 64009.a2 |
64009c1 |
64009.a |
64009c |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$2024$ |
$480$ |
$16$ |
$1.668828443$ |
$1$ |
|
$0$ |
$75504$ |
$1.049786$ |
$-24729001$ |
$0.96853$ |
$3.67156$ |
$[1, 1, 1, -15881, 763720]$ |
\(y^2+xy+y=x^3+x^2-15881x+763720\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 253.120.1.?, $\ldots$ |
$[(646/3, -718/3)]$ |
| 64009.b1 |
64009a2 |
64009.b |
64009a |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{9} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$479160$ |
$2.143623$ |
$-32768$ |
$1.02512$ |
$4.59417$ |
$[0, -1, 1, -469399, 127161583]$ |
\(y^2+y=x^3-x^2-469399x+127161583\) |
|
$[]$ |
| 64009.b2 |
64009a1 |
64009.b |
64009a |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{3} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-11})$ |
$-11$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$43560$ |
$0.944674$ |
$-32768$ |
$1.02512$ |
$3.29412$ |
$[0, -1, 1, -3879, -94128]$ |
\(y^2+y=x^3-x^2-3879x-94128\) |
|
$[]$ |
| 64009.c1 |
64009b2 |
64009.c |
64009b |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.3 |
11B.10.5 |
$2024$ |
$480$ |
$16$ |
$27.74732723$ |
$1$ |
|
$0$ |
$830544$ |
$2.248734$ |
$-24729001$ |
$0.96853$ |
$4.97161$ |
$[1, 1, 0, -1921603, -1026119574]$ |
\(y^2+xy=x^3+x^2-1921603x-1026119574\) |
4.2.0.a.1, 11.60.1.b.2, 44.120.6.b.2, 88.240.16.?, 184.4.0.?, $\ldots$ |
$[(461000693038786/462201, 6792487605026494228744/462201)]$ |
| 64009.c2 |
64009b1 |
64009.c |
64009b |
$2$ |
$11$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{4} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.60.1.4 |
11B.10.4 |
$2024$ |
$480$ |
$16$ |
$2.522484293$ |
$1$ |
|
$0$ |
$75504$ |
$1.049786$ |
$-121$ |
$0.94611$ |
$3.24638$ |
$[1, 1, 0, -1333, 72714]$ |
\(y^2+xy=x^3+x^2-1333x+72714\) |
4.2.0.a.1, 11.60.1.b.1, 44.120.6.b.1, 88.240.16.?, 184.4.0.?, $\ldots$ |
$[(1198/3, 38936/3)]$ |
| 64009.d1 |
64009d3 |
64009.d |
64009d |
$3$ |
$25$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{7} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$12650$ |
$1200$ |
$37$ |
$98.16641168$ |
$1$ |
|
$0$ |
$7590000$ |
$3.263405$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.47952$ |
$[0, -1, 1, -500571716, -4310530907475]$ |
\(y^2+y=x^3-x^2-500571716x-4310530907475\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 230.24.0.?, $\ldots$ |
$[(85557795589349774879213342032977298100610925/6321372860515720998, 791344285488632063155512372225475315394126897295902487538797350483/6321372860515720998)]$ |
| 64009.d2 |
64009d2 |
64009.d |
64009d |
$3$ |
$25$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{11} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$12650$ |
$1200$ |
$37$ |
$19.63328233$ |
$1$ |
|
$0$ |
$1518000$ |
$2.458683$ |
$-122023936/161051$ |
$1.01300$ |
$4.78984$ |
$[0, -1, 1, -661426, -374796995]$ |
\(y^2+y=x^3-x^2-661426x-374796995\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 230.120.0.?, 275.300.12.?, $\ldots$ |
$[(74071844653/186, 20159493089302045/186)]$ |
| 64009.d3 |
64009d1 |
64009.d |
64009d |
$3$ |
$25$ |
\( 11^{2} \cdot 23^{2} \) |
\( - 11^{7} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$12650$ |
$1200$ |
$37$ |
$3.926656467$ |
$1$ |
|
$0$ |
$303600$ |
$1.653965$ |
$-4096/11$ |
$0.82546$ |
$3.90792$ |
$[0, -1, 1, -21336, 2856105]$ |
\(y^2+y=x^3-x^2-21336x+2856105\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 230.24.0.?, $\ldots$ |
$[(-347/2, 16089/2)]$ |
