| 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 |
| 14300.e1 |
14300i1 |
14300.e |
14300i |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5^{8} \cdot 11^{3} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$59400$ |
$1.660603$ |
$687830780160/494190983$ |
$0.98080$ |
$4.48420$ |
$[0, 0, 0, 33875, -1179375]$ |
\(y^2=x^3+33875x-1179375\) |
286.2.0.? |
$[ ]$ |
| 14300.i1 |
14300a1 |
14300.i |
14300a |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5^{2} \cdot 11^{3} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11880$ |
$0.855884$ |
$687830780160/494190983$ |
$0.98080$ |
$3.47494$ |
$[0, 0, 0, 1355, -9435]$ |
\(y^2=x^3+1355x-9435\) |
286.2.0.? |
$[ ]$ |
| 57200.y1 |
57200bl1 |
57200.y |
57200bl |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5^{2} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$2.060710631$ |
$1$ |
|
$2$ |
$47520$ |
$0.855884$ |
$687830780160/494190983$ |
$0.98080$ |
$3.03518$ |
$[0, 0, 0, 1355, 9435]$ |
\(y^2=x^3+1355x+9435\) |
286.2.0.? |
$[(-6, 33)]$ |
| 57200.bj1 |
57200cj1 |
57200.bj |
57200cj |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 5^{8} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1.697552069$ |
$1$ |
|
$2$ |
$237600$ |
$1.660603$ |
$687830780160/494190983$ |
$0.98080$ |
$3.91671$ |
$[0, 0, 0, 33875, 1179375]$ |
\(y^2=x^3+33875x+1179375\) |
286.2.0.? |
$[(14, 1287)]$ |
| 128700.h1 |
128700ci1 |
128700.h |
128700ci |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 11^{3} \cdot 13^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$0.129486315$ |
$1$ |
|
$34$ |
$1900800$ |
$2.209908$ |
$687830780160/494190983$ |
$0.98080$ |
$4.20702$ |
$[0, 0, 0, 304875, 31843125]$ |
\(y^2=x^3+304875x+31843125\) |
286.2.0.? |
$[(900, 32175), (471, 16731)]$ |
| 128700.cd1 |
128700w1 |
128700.cd |
128700w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$1.405190$ |
$687830780160/494190983$ |
$0.98080$ |
$3.38624$ |
$[0, 0, 0, 12195, 254745]$ |
\(y^2=x^3+12195x+254745\) |
286.2.0.? |
$[ ]$ |
| 157300.n1 |
157300q1 |
157300.n |
157300q |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 5^{2} \cdot 11^{9} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1425600$ |
$2.054832$ |
$687830780160/494190983$ |
$0.98080$ |
$3.98095$ |
$[0, 0, 0, 163955, 12557985]$ |
\(y^2=x^3+163955x+12557985\) |
286.2.0.? |
$[ ]$ |
| 157300.s1 |
157300n1 |
157300.s |
157300n |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 5^{8} \cdot 11^{9} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7128000$ |
$2.859550$ |
$687830780160/494190983$ |
$0.98080$ |
$4.78796$ |
$[0, 0, 0, 4098875, 1569748125]$ |
\(y^2=x^3+4098875x+1569748125\) |
286.2.0.? |
$[ ]$ |
| 185900.n1 |
185900r1 |
185900.n |
185900r |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 11^{3} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$2.105237804$ |
$1$ |
|
$0$ |
$1995840$ |
$2.138359$ |
$687830780160/494190983$ |
$0.98080$ |
$4.00875$ |
$[0, 0, 0, 228995, -20728695]$ |
\(y^2=x^3+228995x-20728695\) |
286.2.0.? |
$[(7969/4, 942513/4)]$ |
| 185900.v1 |
185900p1 |
185900.v |
185900p |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 11^{3} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9979200$ |
$2.943077$ |
$687830780160/494190983$ |
$0.98080$ |
$4.80465$ |
$[0, 0, 0, 5724875, -2591086875]$ |
\(y^2=x^3+5724875x-2591086875\) |
286.2.0.? |
$[ ]$ |
| 228800.co1 |
228800ca1 |
228800.co |
228800ca |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5^{2} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1.488025556$ |
$1$ |
|
$2$ |
$380160$ |
$1.202457$ |
$687830780160/494190983$ |
$0.98080$ |
$3.03123$ |
$[0, 0, 0, 5420, 75480]$ |
\(y^2=x^3+5420x+75480\) |
286.2.0.? |
$[(29, 507)]$ |
| 228800.cp1 |
228800eo1 |
228800.cp |
228800eo |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5^{8} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$3.902204876$ |
$1$ |
|
$2$ |
$1900800$ |
$2.007175$ |
$687830780160/494190983$ |
$0.98080$ |
$3.81373$ |
$[0, 0, 0, 135500, -9435000]$ |
\(y^2=x^3+135500x-9435000\) |
286.2.0.? |
$[(125, 3075)]$ |
| 228800.dw1 |
228800bu1 |
228800.dw |
228800bu |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5^{8} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$14.00432870$ |
$1$ |
|
$0$ |
$1900800$ |
$2.007175$ |
$687830780160/494190983$ |
$0.98080$ |
$3.81373$ |
$[0, 0, 0, 135500, 9435000]$ |
\(y^2=x^3+135500x+9435000\) |
286.2.0.? |
$[(605325/157, 13833117075/157)]$ |
| 228800.dx1 |
228800fe1 |
228800.dx |
228800fe |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 5^{2} \cdot 11^{3} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1.173357436$ |
$1$ |
|
$2$ |
$380160$ |
$1.202457$ |
$687830780160/494190983$ |
$0.98080$ |
$3.03123$ |
$[0, 0, 0, 5420, -75480]$ |
\(y^2=x^3+5420x-75480\) |
286.2.0.? |
$[(309, 5577)]$ |