| 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 |
| 3864.a1 |
3864b1 |
3864.a |
3864b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2400$ |
$0.543468$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.66016$ |
$[0, -1, 0, -392, -4116]$ |
\(y^2=x^3-x^2-392x-4116\) |
3864.2.0.? |
$[]$ |
| 7728.n1 |
7728f1 |
7728.n |
7728f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.054504924$ |
$1$ |
|
$14$ |
$4800$ |
$0.543468$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.37678$ |
$[0, 1, 0, -392, 4116]$ |
\(y^2=x^3+x^2-392x+4116\) |
3864.2.0.? |
$[(-14, 84)]$ |
| 11592.r1 |
11592n1 |
11592.r |
11592n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.860284241$ |
$1$ |
|
$2$ |
$19200$ |
$1.092773$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.93485$ |
$[0, 0, 0, -3531, 114662]$ |
\(y^2=x^3-3531x+114662\) |
3864.2.0.? |
$[(58, 324)]$ |
| 23184.bw1 |
23184r1 |
23184.bw |
23184r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38400$ |
$1.092773$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.66350$ |
$[0, 0, 0, -3531, -114662]$ |
\(y^2=x^3-3531x-114662\) |
3864.2.0.? |
$[]$ |
| 27048.w1 |
27048l1 |
27048.w |
27048l |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.516422$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.10631$ |
$[0, 1, 0, -19224, 1450224]$ |
\(y^2=x^3+x^2-19224x+1450224\) |
3864.2.0.? |
$[]$ |
| 30912.be1 |
30912bp1 |
30912.be |
30912bp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.562764983$ |
$1$ |
|
$4$ |
$38400$ |
$0.890041$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.32626$ |
$[0, -1, 0, -1569, 34497]$ |
\(y^2=x^3-x^2-1569x+34497\) |
3864.2.0.? |
$[(29, 112)]$ |
| 30912.ck1 |
30912x1 |
30912.ck |
30912x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.108448482$ |
$1$ |
|
$4$ |
$38400$ |
$0.890041$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.32626$ |
$[0, 1, 0, -1569, -34497]$ |
\(y^2=x^3+x^2-1569x-34497\) |
3864.2.0.? |
$[(51, 144)]$ |
| 54096.bm1 |
54096g1 |
54096.bm |
54096g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.516422$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.84515$ |
$[0, -1, 0, -19224, -1450224]$ |
\(y^2=x^3-x^2-19224x-1450224\) |
3864.2.0.? |
$[]$ |
| 81144.h1 |
81144bu1 |
81144.h |
81144bu |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$2.065727$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.29036$ |
$[0, 0, 0, -173019, -39329066]$ |
\(y^2=x^3-173019x-39329066\) |
3864.2.0.? |
$[]$ |
| 88872.j1 |
88872h1 |
88872.j |
88872h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.421895433$ |
$1$ |
|
$2$ |
$1267200$ |
$2.111214$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.30400$ |
$[0, -1, 0, -207544, 51739276]$ |
\(y^2=x^3-x^2-207544x+51739276\) |
3864.2.0.? |
$[(-15, 7406)]$ |
| 92736.k1 |
92736bj1 |
92736.k |
92736bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$307200$ |
$1.439348$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.58308$ |
$[0, 0, 0, -14124, 917296]$ |
\(y^2=x^3-14124x+917296\) |
3864.2.0.? |
$[]$ |
| 92736.q1 |
92736fs1 |
92736.q |
92736fs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.180442370$ |
$1$ |
|
$2$ |
$307200$ |
$1.439348$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.58308$ |
$[0, 0, 0, -14124, -917296]$ |
\(y^2=x^3-14124x-917296\) |
3864.2.0.? |
$[(208, 2268)]$ |
| 96600.cm1 |
96600ca1 |
96600.cm |
96600ca |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$259200$ |
$1.348186$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.47503$ |
$[0, 1, 0, -9808, -534112]$ |
\(y^2=x^3+x^2-9808x-534112\) |
3864.2.0.? |
$[]$ |
| 162288.r1 |
162288et1 |
162288.r |
162288et |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.188228313$ |
$1$ |
|
$12$ |
$1843200$ |
$2.065727$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.04248$ |
$[0, 0, 0, -173019, 39329066]$ |
\(y^2=x^3-173019x+39329066\) |
3864.2.0.? |
$[(7, 6174), (-161, 7938)]$ |
| 177744.df1 |
177744cs1 |
177744.df |
177744cs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.852652689$ |
$1$ |
|
$2$ |
$2534400$ |
$2.111214$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.05721$ |
$[0, 1, 0, -207544, -51739276]$ |
\(y^2=x^3+x^2-207544x-51739276\) |
3864.2.0.? |
$[(4730, 323748)]$ |
| 193200.u1 |
193200hj1 |
193200.u |
193200hj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.348186$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.27714$ |
$[0, -1, 0, -9808, 534112]$ |
\(y^2=x^3-x^2-9808x+534112\) |
3864.2.0.? |
$[]$ |
| 216384.j1 |
216384ha1 |
216384.j |
216384ha |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.851460845$ |
$1$ |
|
$2$ |
$1843200$ |
$1.862997$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.74978$ |
$[0, -1, 0, -76897, 11678689]$ |
\(y^2=x^3-x^2-76897x+11678689\) |
3864.2.0.? |
$[(89, 2352)]$ |
| 216384.fb1 |
216384f1 |
216384.fb |
216384f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.287232644$ |
$1$ |
|
$14$ |
$1843200$ |
$1.862997$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.74978$ |
$[0, 1, 0, -76897, -11678689]$ |
\(y^2=x^3+x^2-76897x-11678689\) |
3864.2.0.? |
$[(1367, 49392), (338, 1029)]$ |
| 266616.i1 |
266616i1 |
266616.i |
266616i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$3.381247344$ |
$1$ |
|
$2$ |
$10137600$ |
$2.660522$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.45314$ |
$[0, 0, 0, -1867899, -1395092554]$ |
\(y^2=x^3-1867899x-1395092554\) |
3864.2.0.? |
$[(28474, 4799088)]$ |
| 289800.dw1 |
289800dw1 |
289800.dw |
289800dw |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2073600$ |
$1.897493$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.69559$ |
$[0, 0, 0, -88275, 14332750]$ |
\(y^2=x^3-88275x+14332750\) |
3864.2.0.? |
$[]$ |
| 467544.d1 |
467544d1 |
467544.d |
467544d |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{3} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.417010565$ |
$1$ |
|
$2$ |
$3456000$ |
$1.742414$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.41765$ |
$[0, -1, 0, -47472, 5668236]$ |
\(y^2=x^3-x^2-47472x+5668236\) |
3864.2.0.? |
$[(389, 6776)]$ |
