| 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 |
| 4002.m1 |
4002m1 |
4002.m |
4002m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$8004$ |
$16$ |
$0$ |
$0.906375156$ |
$1$ |
|
$8$ |
$1440$ |
$-0.029222$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.03844$ |
$[1, 0, 0, -92, 336]$ |
\(y^2+xy=x^3-92x+336\) |
3.8.0-3.a.1.2, 8004.16.0.? |
$[(6, 0)]$ |
| 12006.k1 |
12006k1 |
12006.k |
12006k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.520083$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.38482$ |
$[1, -1, 0, -828, -9072]$ |
\(y^2+xy=x^3-x^2-828x-9072\) |
3.8.0-3.a.1.1, 8004.16.0.? |
$[]$ |
| 32016.b1 |
32016s1 |
32016.b |
32016s |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{18} \cdot 3^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$5.147102658$ |
$1$ |
|
$2$ |
$34560$ |
$0.663925$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.23118$ |
$[0, -1, 0, -1472, -21504]$ |
\(y^2=x^3-x^2-1472x-21504\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 4002.8.0.?, 8004.16.0.? |
$[(322, 5726)]$ |
| 92046.bm1 |
92046bc1 |
92046.bm |
92046bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$760320$ |
$1.538525$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.85086$ |
$[1, 0, 0, -48679, -4185463]$ |
\(y^2+xy=x^3-48679x-4185463\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 348.8.0.?, 8004.16.0.? |
$[]$ |
| 96048.bu1 |
96048be1 |
96048.bu |
96048be |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{18} \cdot 3^{9} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.213230$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.49632$ |
$[0, 0, 0, -13251, 593858]$ |
\(y^2=x^3-13251x+593858\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 4002.8.0.?, 8004.16.0.? |
$[]$ |
| 100050.s1 |
100050k1 |
100050.s |
100050k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$0.775496$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.02769$ |
$[1, 1, 0, -2300, 42000]$ |
\(y^2+xy=x^3+x^2-2300x+42000\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 8004.8.0.?, 40020.16.0.? |
$[]$ |
| 116058.a1 |
116058d1 |
116058.a |
116058d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23 \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 23 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$0.601391996$ |
$1$ |
|
$4$ |
$1209600$ |
$1.654425$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.89358$ |
$[1, 1, 0, -77389, 8349469]$ |
\(y^2+xy=x^3+x^2-77389x+8349469\) |
3.4.0.a.1, 87.8.0.?, 276.8.0.?, 8004.16.0.? |
$[(147, 347)]$ |
| 128064.bu1 |
128064m1 |
128064.bu |
128064m |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 3^{3} \cdot 23 \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$2.655087639$ |
$1$ |
|
$8$ |
$276480$ |
$1.010498$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.20393$ |
$[0, -1, 0, -5889, 177921]$ |
\(y^2=x^3-x^2-5889x+177921\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 8004.8.0.?, 16008.16.0.? |
$[(65, 256), (35, 116)]$ |
| 128064.dw1 |
128064dw1 |
128064.dw |
128064dw |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 3^{3} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$8.254194739$ |
$1$ |
|
$0$ |
$276480$ |
$1.010498$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.20393$ |
$[0, 1, 0, -5889, -177921]$ |
\(y^2=x^3+x^2-5889x-177921\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 8004.8.0.?, 16008.16.0.? |
$[(6569/5, 507528/5)]$ |
| 196098.bx1 |
196098bh1 |
196098.bx |
196098bh |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$56028$ |
$16$ |
$0$ |
$1.936230913$ |
$1$ |
|
$2$ |
$414720$ |
$0.943732$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.02616$ |
$[1, 1, 1, -4509, -119757]$ |
\(y^2+xy+y=x^3+x^2-4509x-119757\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 8004.8.0.?, 56028.16.0.? |
$[(83, 252)]$ |
| 276138.d1 |
276138d1 |
276138.d |
276138d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 23^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6082560$ |
$2.087830$ |
$-86175179713/1152576$ |
$0.86048$ |
$4.03931$ |
$[1, -1, 0, -438111, 113007501]$ |
\(y^2+xy=x^3-x^2-438111x+113007501\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 348.8.0.?, 8004.16.0.? |
$[]$ |
| 300150.dz1 |
300150dz1 |
300150.dz |
300150dz |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1244160$ |
$1.324802$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.28661$ |
$[1, -1, 1, -20705, -1154703]$ |
\(y^2+xy+y=x^3-x^2-20705x-1154703\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 8004.8.0.?, 40020.16.0.? |
$[]$ |
| 348174.bu1 |
348174bu1 |
348174.bu |
348174bu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23 \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 23 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9676800$ |
$2.203732$ |
$-86175179713/1152576$ |
$0.86048$ |
$4.07493$ |
$[1, -1, 1, -696506, -226132167]$ |
\(y^2+xy+y=x^3-x^2-696506x-226132167\) |
3.4.0.a.1, 87.8.0.?, 276.8.0.?, 8004.16.0.? |
$[]$ |
| 384192.j1 |
384192j1 |
384192.j |
384192j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 3^{9} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$2.254813662$ |
$1$ |
|
$2$ |
$2211840$ |
$1.559805$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.44282$ |
$[0, 0, 0, -53004, -4750864]$ |
\(y^2=x^3-53004x-4750864\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 8004.8.0.?, 16008.16.0.? |
$[(1342, 48384)]$ |
| 384192.q1 |
384192q1 |
384192.q |
384192q |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 3^{9} \cdot 23 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$2.787260321$ |
$1$ |
|
$2$ |
$2211840$ |
$1.559805$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.44282$ |
$[0, 0, 0, -53004, 4750864]$ |
\(y^2=x^3-53004x+4750864\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 8004.8.0.?, 16008.16.0.? |
$[(128, 252)]$ |
| 484242.bd1 |
484242bd1 |
484242.bd |
484242bd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$88044$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1944000$ |
$1.169725$ |
$-86175179713/1152576$ |
$0.86048$ |
$3.02436$ |
$[1, 0, 1, -11135, -458350]$ |
\(y^2+xy+y=x^3-11135x-458350\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 8004.8.0.?, 88044.16.0.? |
$[]$ |
