| 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 |
| 17850.u2 |
17850ba1 |
17850.u |
17850ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1428$ |
$16$ |
$0$ |
$0.493159987$ |
$1$ |
|
$14$ |
$64800$ |
$1.338276$ |
$9056932295/181997172$ |
$0.92864$ |
$4.01649$ |
$[1, 0, 1, 3174, 400048]$ |
\(y^2+xy+y=x^3+3174x+400048\) |
3.8.0-3.a.1.2, 1428.16.0.? |
$[(-49, 381)]$ |
| 17850.bd2 |
17850be1 |
17850.bd |
17850be |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.533556$ |
$9056932295/181997172$ |
$0.92864$ |
$3.03009$ |
$[1, 1, 1, 127, 3251]$ |
\(y^2+xy+y=x^3+x^2+127x+3251\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 1428.8.0.?, 7140.16.0.? |
$[]$ |
| 53550.be2 |
53550bj1 |
53550.be |
53550bj |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1.085753855$ |
$1$ |
|
$2$ |
$103680$ |
$1.082863$ |
$9056932295/181997172$ |
$0.92864$ |
$3.32975$ |
$[1, -1, 0, 1143, -86639]$ |
\(y^2+xy=x^3-x^2+1143x-86639\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 1428.8.0.?, 7140.16.0.? |
$[(50, 281)]$ |
| 53550.er2 |
53550eo1 |
53550.er |
53550eo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1428$ |
$16$ |
$0$ |
$2.514395523$ |
$1$ |
|
$2$ |
$518400$ |
$1.887581$ |
$9056932295/181997172$ |
$0.92864$ |
$4.21662$ |
$[1, -1, 1, 28570, -10801303]$ |
\(y^2+xy+y=x^3-x^2+28570x-10801303\) |
3.8.0-3.a.1.1, 1428.16.0.? |
$[(273, 4021)]$ |
| 124950.c2 |
124950cb1 |
124950.c |
124950cb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$8.084816826$ |
$1$ |
|
$2$ |
$3110400$ |
$2.311230$ |
$9056932295/181997172$ |
$0.92864$ |
$4.34538$ |
$[1, 1, 0, 155550, -137061000]$ |
\(y^2+xy=x^3+x^2+155550x-137061000\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 204.8.0.?, 1428.16.0.? |
$[(31814, 5659126)]$ |
| 124950.gy2 |
124950io1 |
124950.gy |
124950io |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$0.658416267$ |
$1$ |
|
$2$ |
$622080$ |
$1.506512$ |
$9056932295/181997172$ |
$0.92864$ |
$3.52254$ |
$[1, 0, 0, 6222, -1096488]$ |
\(y^2+xy=x^3+6222x-1096488\) |
3.4.0.a.1, 105.8.0.?, 1020.8.0.?, 1428.8.0.?, 7140.16.0.? |
$[(1068, 34452)]$ |
| 142800.ck2 |
142800dj1 |
142800.ck |
142800dj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1555200$ |
$2.031422$ |
$9056932295/181997172$ |
$0.92864$ |
$4.01360$ |
$[0, -1, 0, 50792, -25603088]$ |
\(y^2=x^3-x^2+50792x-25603088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 714.8.0.?, 1428.16.0.? |
$[]$ |
| 142800.jo2 |
142800cd1 |
142800.jo |
142800cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$1.226704$ |
$9056932295/181997172$ |
$0.92864$ |
$3.20002$ |
$[0, 1, 0, 2032, -204012]$ |
\(y^2=x^3+x^2+2032x-204012\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 1428.8.0.?, 3570.8.0.?, 7140.16.0.? |
$[]$ |
| 303450.x2 |
303450x1 |
303450.x |
303450x |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18662400$ |
$2.754883$ |
$9056932295/181997172$ |
$0.92864$ |
$4.46169$ |
$[1, 1, 0, 917425, 1964519625]$ |
\(y^2+xy=x^3+x^2+917425x+1964519625\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 84.8.0.?, 1428.16.0.? |
$[]$ |
| 303450.hg2 |
303450hg1 |
303450.hg |
303450hg |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3732480$ |
$1.950163$ |
$9056932295/181997172$ |
$0.92864$ |
$3.69669$ |
$[1, 0, 0, 36697, 15716157]$ |
\(y^2+xy=x^3+36697x+15716157\) |
3.4.0.a.1, 255.8.0.?, 420.8.0.?, 1428.8.0.?, 7140.16.0.? |
$[]$ |
| 374850.hs2 |
374850hs1 |
374850.hs |
374850hs |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$0.857340605$ |
$1$ |
|
$4$ |
$4976640$ |
$2.055817$ |
$9056932295/181997172$ |
$0.92864$ |
$3.73461$ |
$[1, -1, 0, 55998, 29605176]$ |
\(y^2+xy=x^3-x^2+55998x+29605176\) |
3.4.0.a.1, 105.8.0.?, 1020.8.0.?, 1428.8.0.?, 7140.16.0.? |
$[(-117, 4689)]$ |
| 374850.pn2 |
374850pn1 |
374850.pn |
374850pn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24883200$ |
$2.860535$ |
$9056932295/181997172$ |
$0.92864$ |
$4.48702$ |
$[1, -1, 1, 1399945, 3702046947]$ |
\(y^2+xy+y=x^3-x^2+1399945x+3702046947\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 204.8.0.?, 1428.16.0.? |
$[]$ |
| 428400.c2 |
428400c1 |
428400.c |
428400c |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12441600$ |
$2.580727$ |
$9056932295/181997172$ |
$0.92864$ |
$4.18189$ |
$[0, 0, 0, 457125, 690826250]$ |
\(y^2=x^3+457125x+690826250\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 714.8.0.?, 1428.16.0.? |
$[]$ |
| 428400.hu2 |
428400hu1 |
428400.hu |
428400hu |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$0.335442128$ |
$1$ |
|
$6$ |
$2488320$ |
$1.776009$ |
$9056932295/181997172$ |
$0.92864$ |
$3.43723$ |
$[0, 0, 0, 18285, 5526610]$ |
\(y^2=x^3+18285x+5526610\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 1428.8.0.?, 3570.8.0.?, 7140.16.0.? |
$[(311, 6426)]$ |
