| 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 |
| 5184.a1 |
5184o1 |
5184.a |
5184o |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.650240229$ |
$1$ |
|
$4$ |
$960$ |
$-0.085813$ |
$-72$ |
$0.94639$ |
$2.60567$ |
$[0, 0, 0, -12, -80]$ |
\(y^2=x^3-12x-80\) |
8.2.0.a.1 |
$[(6, 8)]$ |
| 5184.b1 |
5184n1 |
5184.b |
5184n |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.345134805$ |
$1$ |
|
$4$ |
$960$ |
$-0.085813$ |
$-72$ |
$0.94639$ |
$2.60567$ |
$[0, 0, 0, -12, 80]$ |
\(y^2=x^3-12x+80\) |
8.2.0.a.1 |
$[(2, 8)]$ |
| 5184.c1 |
5184m2 |
5184.c |
5184m |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{20} \cdot 3^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$2.229461342$ |
$1$ |
|
$4$ |
$6912$ |
$0.991220$ |
$-35937/4$ |
$1.00607$ |
$4.24693$ |
$[0, 0, 0, -3564, -89424]$ |
\(y^2=x^3-3564x-89424\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.2, 24.128.1-12.b.2.2 |
$[(70, 64)]$ |
| 5184.c2 |
5184m1 |
5184.c |
5184m |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$0.743153780$ |
$1$ |
|
$4$ |
$2304$ |
$0.441914$ |
$109503/64$ |
$1.28549$ |
$3.32909$ |
$[0, 0, 0, 276, 176]$ |
\(y^2=x^3+276x+176\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.1, 24.128.1-12.b.1.2 |
$[(38, 256)]$ |
| 5184.d1 |
5184bb2 |
5184.d |
5184bb |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{10} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$0.216137228$ |
$1$ |
|
$22$ |
$3456$ |
$0.591321$ |
$-316368$ |
$0.93828$ |
$3.90027$ |
$[0, 0, 0, -1404, 20304]$ |
\(y^2=x^3-1404x+20304\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.16.0-12.a.1.1, 15.20.1.a.1, $\ldots$ |
$[(30, 72), (12, 72)]$ |
| 5184.d2 |
5184bb1 |
5184.d |
5184bb |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$0.216137228$ |
$1$ |
|
$24$ |
$1152$ |
$0.042015$ |
$432$ |
$0.77371$ |
$2.74311$ |
$[0, 0, 0, 36, 144]$ |
\(y^2=x^3+36x+144\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.16.0-12.a.1.1, 15.20.1.a.1, $\ldots$ |
$[(6, 24), (-2, 8)]$ |
| 5184.e1 |
5184k2 |
5184.e |
5184k |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$2.640300136$ |
$1$ |
|
$2$ |
$1728$ |
$0.401527$ |
$6912$ |
$0.77371$ |
$3.38533$ |
$[0, 0, 0, -324, -1944]$ |
\(y^2=x^3-324x-1944\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.1, $\ldots$ |
$[(-11, 17)]$ |
| 5184.e2 |
5184k1 |
5184.e |
5184k |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$0.880100045$ |
$1$ |
|
$2$ |
$576$ |
$-0.147779$ |
$790272$ |
$0.98305$ |
$2.91185$ |
$[0, 0, 0, -84, 296]$ |
\(y^2=x^3-84x+296\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.2, $\ldots$ |
$[(5, 1)]$ |
| 5184.f1 |
5184ba2 |
5184.f |
5184ba |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.401527$ |
$6912$ |
$0.77371$ |
$3.38533$ |
$[0, 0, 0, -324, 1944]$ |
\(y^2=x^3-324x+1944\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.1, $\ldots$ |
$[]$ |
| 5184.f2 |
5184ba1 |
5184.f |
5184ba |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
8.4.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.147779$ |
$790272$ |
$0.98305$ |
$2.91185$ |
$[0, 0, 0, -84, -296]$ |
\(y^2=x^3-84x-296\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 8.4.0-2.a.1.1, 12.16.0.a.2, $\ldots$ |
$[]$ |
| 5184.g1 |
5184l2 |
5184.g |
5184l |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$4.440557242$ |
$1$ |
|
$2$ |
$3456$ |
$0.591321$ |
$-316368$ |
$0.93828$ |
$3.90027$ |
$[0, 0, 0, -1404, -20304]$ |
\(y^2=x^3-1404x-20304\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.16.0-12.a.1.1, 15.20.1.a.1, $\ldots$ |
$[(148, 1736)]$ |
| 5184.g2 |
5184l1 |
5184.g |
5184l |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.2.0.1, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$1.480185747$ |
$1$ |
|
$2$ |
$1152$ |
$0.042015$ |
$432$ |
$0.77371$ |
$2.74311$ |
$[0, 0, 0, 36, -144]$ |
\(y^2=x^3+36x-144\) |
3.4.0.a.1, 4.2.0.a.1, 5.5.0.a.1, 12.16.0-12.a.1.1, 15.20.1.a.1, $\ldots$ |
$[(4, 8)]$ |
| 5184.h1 |
5184bc2 |
5184.h |
5184bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{20} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.991220$ |
$-35937/4$ |
$1.00607$ |
$4.24693$ |
$[0, 0, 0, -3564, 89424]$ |
\(y^2=x^3-3564x+89424\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.2, 24.128.1-12.b.2.4 |
$[]$ |
| 5184.h2 |
5184bc1 |
5184.h |
5184bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.441914$ |
$109503/64$ |
$1.28549$ |
$3.32909$ |
$[0, 0, 0, 276, -176]$ |
\(y^2=x^3+276x-176\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.1, 24.128.1-12.b.1.4 |
$[]$ |
| 5184.i1 |
5184q1 |
5184.i |
5184q |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$72$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.189292$ |
$2304$ |
$0.77371$ |
$3.00000$ |
$[0, 0, 0, -108, 216]$ |
\(y^2=x^3-108x+216\) |
2.2.0.a.1, 18.6.0.a.1, 24.4.0-2.a.1.1, 72.12.0.? |
$[]$ |
| 5184.j1 |
5184h1 |
5184.j |
5184h |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$0.899958509$ |
$1$ |
|
$2$ |
$192$ |
$-0.596741$ |
$-576$ |
$0.77371$ |
$1.90519$ |
$[0, 0, 0, -3, 4]$ |
\(y^2=x^3-3x+4\) |
4.4.0-4.a.1.1 |
$[(0, 2)]$ |
| 5184.k1 |
5184f1 |
5184.k |
5184f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{16} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
4.8.0.2, 5.5.0.1 |
5S4 |
$120$ |
$80$ |
$2$ |
$0.495164423$ |
$1$ |
|
$6$ |
$2304$ |
$0.520220$ |
$-36$ |
$1.04124$ |
$3.45501$ |
$[0, 0, 0, -108, -3024]$ |
\(y^2=x^3-108x-3024\) |
4.8.0.b.1, 5.5.0.a.1, 20.40.2.b.1, 24.16.0-4.b.1.1, 120.80.2.? |
$[(30, 144)]$ |
| 5184.l1 |
5184x1 |
5184.l |
5184x |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{16} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
4.8.0.2, 5.5.0.1 |
5S4 |
$120$ |
$80$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.520220$ |
$-36$ |
$1.04124$ |
$3.45501$ |
$[0, 0, 0, -108, 3024]$ |
\(y^2=x^3-108x+3024\) |
4.8.0.b.1, 5.5.0.a.1, 20.40.2.b.1, 24.16.0-4.b.1.1, 120.80.2.? |
$[]$ |
| 5184.m1 |
5184g1 |
5184.m |
5184g |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$2.214943375$ |
$1$ |
|
$2$ |
$192$ |
$-0.596741$ |
$-576$ |
$0.77371$ |
$1.90519$ |
$[0, 0, 0, -3, -4]$ |
\(y^2=x^3-3x-4\) |
4.4.0-4.a.1.1 |
$[(8, 22)]$ |
| 5184.n1 |
5184be1 |
5184.n |
5184be |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$72$ |
$12$ |
$0$ |
$0.843657485$ |
$1$ |
|
$2$ |
$1152$ |
$0.189292$ |
$2304$ |
$0.77371$ |
$3.00000$ |
$[0, 0, 0, -108, -216]$ |
\(y^2=x^3-108x-216\) |
2.2.0.a.1, 18.6.0.a.1, 24.4.0-2.a.1.1, 72.12.0.? |
$[(-3, 9)]$ |
| 5184.o1 |
5184u4 |
5184.o |
5184u |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{25} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-189613868625/128$ |
$1.12596$ |
$6.03604$ |
$[0, 0, 0, -620460, 188113104]$ |
\(y^2=x^3-620460x+188113104\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.1, $\ldots$ |
$[]$ |
| 5184.o2 |
5184u3 |
5184.o |
5184u |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$1.309090$ |
$-1159088625/2097152$ |
$1.11235$ |
$4.57827$ |
$[0, 0, 0, -6060, 368848]$ |
\(y^2=x^3-6060x+368848\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.1, $\ldots$ |
$[]$ |
| 5184.o3 |
5184u1 |
5184.o |
5184u |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.336134$ |
$-140625/8$ |
$1.17810$ |
$3.36930$ |
$[0, 0, 0, -300, -2096]$ |
\(y^2=x^3-300x-2096\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.2, $\ldots$ |
$[]$ |
| 5184.o4 |
5184u2 |
5184.o |
5184u |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{19} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.885440$ |
$3375/2$ |
$1.42657$ |
$3.94982$ |
$[0, 0, 0, 1620, -3888]$ |
\(y^2=x^3+1620x-3888\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.2, $\ldots$ |
$[]$ |
| 5184.p1 |
5184bd3 |
5184.p |
5184bd |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{25} \cdot 3^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$2.101119730$ |
$1$ |
|
$4$ |
$8064$ |
$1.309090$ |
$-189613868625/128$ |
$1.12596$ |
$5.26538$ |
$[0, 0, 0, -68940, -6967152]$ |
\(y^2=x^3-68940x-6967152\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.4, $\ldots$ |
$[(306, 768)]$ |
| 5184.p2 |
5184bd4 |
5184.p |
5184bd |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$6.303359192$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-1159088625/2097152$ |
$1.11235$ |
$5.34892$ |
$[0, 0, 0, -54540, -9958896]$ |
\(y^2=x^3-54540x-9958896\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, $\ldots$ |
$[(108178/19, 5341184/19)]$ |
| 5184.p3 |
5184bd2 |
5184.p |
5184bd |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$0.900479884$ |
$1$ |
|
$4$ |
$3456$ |
$0.885440$ |
$-140625/8$ |
$1.17810$ |
$4.13995$ |
$[0, 0, 0, -2700, 56592]$ |
\(y^2=x^3-2700x+56592\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.3, $\ldots$ |
$[(34, 64)]$ |
| 5184.p4 |
5184bd1 |
5184.p |
5184bd |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{19} \cdot 3^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$0.300159961$ |
$1$ |
|
$4$ |
$1152$ |
$0.336134$ |
$3375/2$ |
$1.42657$ |
$3.17917$ |
$[0, 0, 0, 180, 144]$ |
\(y^2=x^3+180x+144\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.2, $\ldots$ |
$[(18, 96)]$ |
| 5184.q1 |
5184p3 |
5184.q |
5184p |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{25} \cdot 3^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$1.309090$ |
$-189613868625/128$ |
$1.12596$ |
$5.26538$ |
$[0, 0, 0, -68940, 6967152]$ |
\(y^2=x^3-68940x+6967152\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 21.64.1.a.4, $\ldots$ |
$[]$ |
| 5184.q2 |
5184p4 |
5184.q |
5184p |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-1159088625/2097152$ |
$1.11235$ |
$5.34892$ |
$[0, 0, 0, -54540, 9958896]$ |
\(y^2=x^3-54540x+9958896\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 21.64.1.a.1, $\ldots$ |
$[]$ |
| 5184.q3 |
5184p2 |
5184.q |
5184p |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.885440$ |
$-140625/8$ |
$1.17810$ |
$4.13995$ |
$[0, 0, 0, -2700, -56592]$ |
\(y^2=x^3-2700x-56592\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 21.64.1.a.3, $\ldots$ |
$[]$ |
| 5184.q4 |
5184p1 |
5184.q |
5184p |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{19} \cdot 3^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.336134$ |
$3375/2$ |
$1.42657$ |
$3.17917$ |
$[0, 0, 0, 180, -144]$ |
\(y^2=x^3+180x-144\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 21.64.1.a.2, $\ldots$ |
$[]$ |
| 5184.r1 |
5184a4 |
5184.r |
5184a |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{25} \cdot 3^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$12.17320741$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-189613868625/128$ |
$1.12596$ |
$6.03604$ |
$[0, 0, 0, -620460, -188113104]$ |
\(y^2=x^3-620460x-188113104\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 21.64.1.a.4, $\ldots$ |
$[(5076310/17, 11425560832/17)]$ |
| 5184.r2 |
5184a3 |
5184.r |
5184a |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$4.057735803$ |
$1$ |
|
$2$ |
$8064$ |
$1.309090$ |
$-1159088625/2097152$ |
$1.11235$ |
$4.57827$ |
$[0, 0, 0, -6060, -368848]$ |
\(y^2=x^3-6060x-368848\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 21.64.1.a.1, $\ldots$ |
$[(17558, 2326528)]$ |
| 5184.r3 |
5184a1 |
5184.r |
5184a |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$0.579676543$ |
$1$ |
|
$4$ |
$1152$ |
$0.336134$ |
$-140625/8$ |
$1.17810$ |
$3.36930$ |
$[0, 0, 0, -300, 2096]$ |
\(y^2=x^3-300x+2096\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 21.64.1.a.3, $\ldots$ |
$[(-10, 64)]$ |
| 5184.r4 |
5184a2 |
5184.r |
5184a |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{19} \cdot 3^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1.739029630$ |
$1$ |
|
$2$ |
$3456$ |
$0.885440$ |
$3375/2$ |
$1.42657$ |
$3.94982$ |
$[0, 0, 0, 1620, 3888]$ |
\(y^2=x^3+1620x+3888\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 21.64.1.a.2, $\ldots$ |
$[(22, 224)]$ |
| 5184.s1 |
5184e1 |
5184.s |
5184e |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$72$ |
$12$ |
$0$ |
$1.386532082$ |
$1$ |
|
$2$ |
$384$ |
$-0.360014$ |
$2304$ |
$0.77371$ |
$2.22934$ |
$[0, 0, 0, -12, -8]$ |
\(y^2=x^3-12x-8\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 18.6.0.a.1, 72.12.0.? |
$[(-3, 1)]$ |
| 5184.t1 |
5184d1 |
5184.t |
5184d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$12$ |
$4$ |
$0$ |
$1.277452366$ |
$1$ |
|
$2$ |
$576$ |
$-0.047434$ |
$-576$ |
$0.77371$ |
$2.67585$ |
$[0, 0, 0, -27, -108]$ |
\(y^2=x^3-27x-108\) |
4.2.0.a.1, 12.4.0-4.a.1.1 |
$[(12, 36)]$ |
| 5184.u1 |
5184v1 |
5184.u |
5184v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{16} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.16.0.3, 5.5.0.1 |
5S4 |
$40$ |
$80$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$-0.029086$ |
$-36$ |
$1.04124$ |
$2.68435$ |
$[0, 0, 0, -12, -112]$ |
\(y^2=x^3-12x-112\) |
4.8.0.b.1, 5.5.0.a.1, 8.16.0-4.b.1.1, 20.40.2.b.1, 40.80.2-20.b.1.1 |
$[]$ |
| 5184.v1 |
5184b1 |
5184.v |
5184b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{16} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.16.0.3, 5.5.0.1 |
5S4 |
$40$ |
$80$ |
$2$ |
$0.530211252$ |
$1$ |
|
$4$ |
$768$ |
$-0.029086$ |
$-36$ |
$1.04124$ |
$2.68435$ |
$[0, 0, 0, -12, 112]$ |
\(y^2=x^3-12x+112\) |
4.8.0.b.1, 5.5.0.a.1, 8.16.0-4.b.1.1, 20.40.2.b.1, 40.80.2-20.b.1.1 |
$[(6, 16)]$ |
| 5184.w1 |
5184c1 |
5184.w |
5184c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$12$ |
$4$ |
$0$ |
$1.962598920$ |
$1$ |
|
$2$ |
$576$ |
$-0.047434$ |
$-576$ |
$0.77371$ |
$2.67585$ |
$[0, 0, 0, -27, 108]$ |
\(y^2=x^3-27x+108\) |
4.2.0.a.1, 12.4.0-4.a.1.1 |
$[(4, 8)]$ |
| 5184.x1 |
5184w1 |
5184.x |
5184w |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$72$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$-0.360014$ |
$2304$ |
$0.77371$ |
$2.22934$ |
$[0, 0, 0, -12, 8]$ |
\(y^2=x^3-12x+8\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 18.6.0.a.1, 72.12.0.? |
$[]$ |
| 5184.y1 |
5184j1 |
5184.y |
5184j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{20} \cdot 3^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$0.670613516$ |
$1$ |
|
$4$ |
$2304$ |
$0.441914$ |
$-35937/4$ |
$1.00607$ |
$3.47628$ |
$[0, 0, 0, -396, 3312]$ |
\(y^2=x^3-396x+3312\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 24.128.1-12.b.2.1 |
$[(-2, 64)]$ |
| 5184.y2 |
5184j2 |
5184.y |
5184j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$2.011840550$ |
$1$ |
|
$2$ |
$6912$ |
$0.991220$ |
$109503/64$ |
$1.28549$ |
$4.09974$ |
$[0, 0, 0, 2484, -4752]$ |
\(y^2=x^3+2484x-4752\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 24.128.1-12.b.1.1 |
$[(142, 1792)]$ |
| 5184.z1 |
5184y1 |
5184.z |
5184y |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.4.0.3, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.042015$ |
$-316368$ |
$0.93828$ |
$3.12961$ |
$[0, 0, 0, -156, -752]$ |
\(y^2=x^3-156x-752\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 5.5.0.a.1, 12.16.0-12.a.1.3, 15.20.1.a.1, $\ldots$ |
$[]$ |
| 5184.z2 |
5184y2 |
5184.z |
5184y |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{14} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3, 5$ |
4.4.0.3, 3.4.0.1, 5.5.0.1 |
3B, 5S4 |
$120$ |
$160$ |
$4$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.591321$ |
$432$ |
$0.77371$ |
$3.51377$ |
$[0, 0, 0, 324, -3888]$ |
\(y^2=x^3+324x-3888\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 5.5.0.a.1, 12.16.0-12.a.1.3, 15.20.1.a.1, $\ldots$ |
$[]$ |
| 5184.ba1 |
5184r2 |
5184.ba |
5184r |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.401527$ |
$790272$ |
$0.98305$ |
$3.68251$ |
$[0, 0, 0, -756, -7992]$ |
\(y^2=x^3-756x-7992\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ |
$[]$ |
| 5184.ba2 |
5184r1 |
5184.ba |
5184r |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.147779$ |
$6912$ |
$0.77371$ |
$2.61467$ |
$[0, 0, 0, -36, 72]$ |
\(y^2=x^3-36x+72\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ |
$[]$ |
| 5184.bb1 |
5184bf2 |
5184.bb |
5184bf |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$2.329416065$ |
$1$ |
|
$2$ |
$1728$ |
$0.401527$ |
$790272$ |
$0.98305$ |
$3.68251$ |
$[0, 0, 0, -756, 7992]$ |
\(y^2=x^3-756x+7992\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ |
$[(13, 19)]$ |
| 5184.bb2 |
5184bf1 |
5184.bb |
5184bf |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( 2^{10} \cdot 3^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$72$ |
$96$ |
$2$ |
$0.776472021$ |
$1$ |
|
$2$ |
$576$ |
$-0.147779$ |
$6912$ |
$0.77371$ |
$2.61467$ |
$[0, 0, 0, -36, -72]$ |
\(y^2=x^3-36x-72\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ |
$[(-3, 3)]$ |
