| 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 |
| 8050.c1 |
8050a1 |
8050.c |
8050a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.354618683$ |
$1$ |
|
$4$ |
$48000$ |
$1.686741$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.85220$ |
$[1, 1, 0, -24075, 3452125]$ |
\(y^2+xy=x^3+x^2-24075x+3452125\) |
8.2.0.a.1 |
$[(1, 1851)]$ |
| 8050.s1 |
8050u1 |
8050.s |
8050u |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.207932654$ |
$1$ |
|
$6$ |
$9600$ |
$0.882022$ |
$-158034076225/438790688$ |
$1.05873$ |
$3.77846$ |
$[1, 0, 0, -963, 27617]$ |
\(y^2+xy=x^3-963x+27617\) |
8.2.0.a.1 |
$[(-32, 177)]$ |
| 56350.s1 |
56350e1 |
56350.s |
56350e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 5^{10} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304000$ |
$2.659695$ |
$-158034076225/438790688$ |
$1.05873$ |
$5.05638$ |
$[1, 0, 1, -1179701, -1187617952]$ |
\(y^2+xy+y=x^3-1179701x-1187617952\) |
8.2.0.a.1 |
$[]$ |
| 56350.bg1 |
56350cb1 |
56350.bg |
56350cb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{5} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.348619354$ |
$1$ |
|
$8$ |
$460800$ |
$1.854977$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.17363$ |
$[1, 1, 1, -47188, -9519819]$ |
\(y^2+xy+y=x^3+x^2-47188x-9519819\) |
8.2.0.a.1 |
$[(545, 10997)]$ |
| 64400.u1 |
64400cc1 |
64400.u |
64400cc |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.930277964$ |
$1$ |
|
$0$ |
$230400$ |
$1.575169$ |
$-158034076225/438790688$ |
$1.05873$ |
$3.82007$ |
$[0, -1, 0, -15408, -1767488]$ |
\(y^2=x^3-x^2-15408x-1767488\) |
8.2.0.a.1 |
$[(1474/3, 7406/3)]$ |
| 64400.by1 |
64400bx1 |
64400.by |
64400bx |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152000$ |
$2.379887$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.69216$ |
$[0, 1, 0, -385208, -221706412]$ |
\(y^2=x^3+x^2-385208x-221706412\) |
8.2.0.a.1 |
$[]$ |
| 72450.ci1 |
72450cd1 |
72450.ci |
72450cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288000$ |
$1.431328$ |
$-158034076225/438790688$ |
$1.05873$ |
$3.62562$ |
$[1, -1, 0, -8667, -745659]$ |
\(y^2+xy=x^3-x^2-8667x-745659\) |
8.2.0.a.1 |
$[]$ |
| 72450.dr1 |
72450dx1 |
72450.dr |
72450dx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440000$ |
$2.236046$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.48853$ |
$[1, -1, 1, -216680, -93424053]$ |
\(y^2+xy+y=x^3-x^2-216680x-93424053\) |
8.2.0.a.1 |
$[]$ |
| 185150.m1 |
185150bw1 |
185150.m |
185150bw |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 5^{10} \cdot 7^{2} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$23.96631452$ |
$1$ |
|
$0$ |
$25344000$ |
$3.254490$ |
$-158034076225/438790688$ |
$1.05873$ |
$5.14893$ |
$[1, 1, 0, -12735950, -42129363500]$ |
\(y^2+xy=x^3+x^2-12735950x-42129363500\) |
8.2.0.a.1 |
$[(1174093546271/12286, 1057281159929169181/12286)]$ |
| 185150.cj1 |
185150bg1 |
185150.cj |
185150bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{5} \cdot 5^{4} \cdot 7^{2} \cdot 23^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5068800$ |
$2.449768$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.35276$ |
$[1, 0, 0, -509438, -337034908]$ |
\(y^2+xy=x^3-509438x-337034908\) |
8.2.0.a.1 |
$[]$ |
| 257600.by1 |
257600by1 |
257600.by |
257600by |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216000$ |
$2.726463$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.50388$ |
$[0, -1, 0, -1540833, -1772110463]$ |
\(y^2=x^3-x^2-1540833x-1772110463\) |
8.2.0.a.1 |
$[]$ |
| 257600.ch1 |
257600ch1 |
257600.ch |
257600ch |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.435484891$ |
$1$ |
|
$16$ |
$1843200$ |
$1.921743$ |
$-158034076225/438790688$ |
$1.05873$ |
$3.72882$ |
$[0, -1, 0, -61633, 14201537]$ |
\(y^2=x^3-x^2-61633x+14201537\) |
8.2.0.a.1 |
$[(113, 2944), (67, 3220)]$ |
| 257600.dz1 |
257600dz1 |
257600.dz |
257600dz |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.636586552$ |
$1$ |
|
$2$ |
$1843200$ |
$1.921743$ |
$-158034076225/438790688$ |
$1.05873$ |
$3.72882$ |
$[0, 1, 0, -61633, -14201537]$ |
\(y^2=x^3+x^2-61633x-14201537\) |
8.2.0.a.1 |
$[(738, 18515)]$ |
| 257600.ek1 |
257600ek1 |
257600.ek |
257600ek |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{23} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$8.836925016$ |
$1$ |
|
$0$ |
$9216000$ |
$2.726463$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.50388$ |
$[0, 1, 0, -1540833, 1772110463]$ |
\(y^2=x^3+x^2-1540833x+1772110463\) |
8.2.0.a.1 |
$[(764149/11, 657400996/11)]$ |
| 450800.cp1 |
450800cp1 |
450800.cp |
450800cp |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{10} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296000$ |
$3.352844$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.88765$ |
$[0, -1, 0, -18875208, 76007548912]$ |
\(y^2=x^3-x^2-18875208x+76007548912\) |
8.2.0.a.1 |
$[]$ |
| 450800.fd1 |
450800fd1 |
450800.fd |
450800fd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11059200$ |
$2.548126$ |
$-158034076225/438790688$ |
$1.05873$ |
$4.14590$ |
$[0, 1, 0, -755008, 607758388]$ |
\(y^2=x^3+x^2-755008x+607758388\) |
8.2.0.a.1 |
$[]$ |
