| 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 |
| 15456.a1 |
15456l3 |
15456.a |
15456l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$3.439874419$ |
$1$ |
|
$3$ |
$8192$ |
$0.599013$ |
$1146415874696/1056321$ |
$0.90838$ |
$3.52549$ |
$[0, -1, 0, -1744, 28600]$ |
\(y^2=x^3-x^2-1744x+28600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.5, 92.12.0.?, $\ldots$ |
$[(41, 156)]$ |
| 15456.a2 |
15456l2 |
15456.a |
15456l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$0.859968604$ |
$1$ |
|
$7$ |
$8192$ |
$0.599013$ |
$43169672512/497007$ |
$0.96661$ |
$3.40110$ |
$[0, -1, 0, -1169, -14847]$ |
\(y^2=x^3-x^2-1169x-14847\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.bb.1.10, 92.24.0.?, 1288.48.0.? |
$[(-19, 12)]$ |
| 15456.a3 |
15456l1 |
15456.a |
15456l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1.719937209$ |
$1$ |
|
$9$ |
$4096$ |
$0.252440$ |
$4188852928/2099601$ |
$0.99471$ |
$2.72810$ |
$[0, -1, 0, -134, 264]$ |
\(y^2=x^3-x^2-134x+264\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.1, 92.24.0.?, 1288.48.0.? |
$[(-5, 28)]$ |
| 15456.a4 |
15456l4 |
15456.a |
15456l |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3^{2} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$3.439874419$ |
$1$ |
|
$7$ |
$8192$ |
$0.599013$ |
$26304066424/17629983$ |
$0.91112$ |
$3.13416$ |
$[0, -1, 0, 496, 1524]$ |
\(y^2=x^3-x^2+496x+1524\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 184.24.0.?, 1288.48.0.? |
$[(13, 100)]$ |
| 15456.b1 |
15456b2 |
15456.b |
15456b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.519184215$ |
$1$ |
|
$3$ |
$3584$ |
$0.240399$ |
$2438569736/91287$ |
$0.84498$ |
$2.88759$ |
$[0, -1, 0, -224, -1176]$ |
\(y^2=x^3-x^2-224x-1176\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(29, 126)]$ |
| 15456.b2 |
15456b1 |
15456.b |
15456b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.259592107$ |
$1$ |
|
$5$ |
$1792$ |
$-0.106174$ |
$314432/33327$ |
$0.86414$ |
$2.28310$ |
$[0, -1, 0, 6, -72]$ |
\(y^2=x^3-x^2+6x-72\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(6, 12)]$ |
| 15456.c1 |
15456k1 |
15456.c |
15456k |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$7.271331328$ |
$1$ |
|
$2$ |
$29568$ |
$1.220699$ |
$-39889507589632/1397512683$ |
$0.94368$ |
$4.11515$ |
$[0, -1, 0, -11389, -477995]$ |
\(y^2=x^3-x^2-11389x-477995\) |
966.2.0.? |
$[(4007, 253524)]$ |
| 15456.d1 |
15456o2 |
15456.d |
15456o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$36864$ |
$1.285751$ |
$581400938887066376/13041$ |
$0.98974$ |
$4.88739$ |
$[0, -1, 0, -139104, -19922760]$ |
\(y^2=x^3-x^2-139104x-19922760\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 644.12.0.?, 1288.48.0.? |
$[]$ |
| 15456.d2 |
15456o3 |
15456.d |
15456o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 23^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$36864$ |
$1.285751$ |
$185446537613576/54423757521$ |
$0.95677$ |
$4.05278$ |
$[0, -1, 0, -9504, -247212]$ |
\(y^2=x^3-x^2-9504x-247212\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 1288.48.0.? |
$[]$ |
| 15456.d3 |
15456o1 |
15456.d |
15456o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$18432$ |
$0.939178$ |
$1135671162482368/170067681$ |
$1.03333$ |
$4.02508$ |
$[0, -1, 0, -8694, -309096]$ |
\(y^2=x^3-x^2-8694x-309096\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 644.24.0.?, 1288.48.0.? |
$[]$ |
| 15456.d4 |
15456o4 |
15456.d |
15456o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{16} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.285751$ |
$-13258203533632/6930522081$ |
$1.02158$ |
$4.06158$ |
$[0, -1, 0, -7889, -369471]$ |
\(y^2=x^3-x^2-7889x-369471\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 644.24.0.?, 1288.48.0.? |
$[]$ |
| 15456.e1 |
15456p2 |
15456.e |
15456p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$15360$ |
$0.848895$ |
$375523199368136/91287$ |
$0.95087$ |
$4.12593$ |
$[0, -1, 0, -12024, -503496]$ |
\(y^2=x^3-x^2-12024x-503496\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.e2 |
15456p3 |
15456.e |
15456p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$0.848895$ |
$89194791232/41136627$ |
$0.91828$ |
$3.47633$ |
$[0, -1, 0, -1489, 10465]$ |
\(y^2=x^3-x^2-1489x+10465\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.e3 |
15456p1 |
15456.e |
15456p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$0.502322$ |
$741709148608/11431161$ |
$0.90956$ |
$3.26476$ |
$[0, -1, 0, -754, -7616]$ |
\(y^2=x^3-x^2-754x-7616\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.e4 |
15456p4 |
15456.e |
15456p |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.848895$ |
$-57512456/397771269$ |
$1.01830$ |
$3.47246$ |
$[0, -1, 0, -64, -21692]$ |
\(y^2=x^3-x^2-64x-21692\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
| 15456.f1 |
15456h1 |
15456.f |
15456h |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3^{17} \cdot 7 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192576$ |
$2.071335$ |
$-145765603223714807432/10998738542547$ |
$1.01183$ |
$5.46012$ |
$[0, -1, 0, -877136, -315918696]$ |
\(y^2=x^3-x^2-877136x-315918696\) |
3864.2.0.? |
$[]$ |
| 15456.g1 |
15456n1 |
15456.g |
15456n |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$-0.286247$ |
$-8/483$ |
$0.91340$ |
$2.06029$ |
$[0, -1, 0, 0, 24]$ |
\(y^2=x^3-x^2+24\) |
3864.2.0.? |
$[]$ |
| 15456.h1 |
15456a1 |
15456.h |
15456a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.127948393$ |
$1$ |
|
$2$ |
$4224$ |
$0.102535$ |
$-12487168/4347$ |
$0.76372$ |
$2.60518$ |
$[0, -1, 0, -77, 357]$ |
\(y^2=x^3-x^2-77x+357\) |
966.2.0.? |
$[(3, 12)]$ |
| 15456.i1 |
15456i2 |
15456.i |
15456i |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{6} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$78336$ |
$1.629753$ |
$461019267341732744/115946266023$ |
$1.03123$ |
$4.86334$ |
$[0, -1, 0, -128752, 17821060]$ |
\(y^2=x^3-x^2-128752x+17821060\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 15456.i2 |
15456i1 |
15456.i |
15456i |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$39168$ |
$1.283180$ |
$-613864936718272/456986789343$ |
$0.97510$ |
$4.04703$ |
$[0, -1, 0, -7082, 349248]$ |
\(y^2=x^3-x^2-7082x+349248\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 15456.j1 |
15456j1 |
15456.j |
15456j |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 7^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.087478297$ |
$1$ |
|
$2$ |
$21120$ |
$1.058260$ |
$-12487168/613472307$ |
$1.06929$ |
$3.73295$ |
$[0, -1, 0, -77, 76293]$ |
\(y^2=x^3-x^2-77x+76293\) |
966.2.0.? |
$[(-9, 276)]$ |
| 15456.k1 |
15456m2 |
15456.k |
15456m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3864$ |
$48$ |
$0$ |
$7.357374890$ |
$1$ |
|
$1$ |
$7168$ |
$0.497921$ |
$462248527168/483$ |
$0.90451$ |
$3.64690$ |
$[0, -1, 0, -2577, -49503]$ |
\(y^2=x^3-x^2-2577x-49503\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 92.12.0.?, $\ldots$ |
$[(2411/5, 95984/5)]$ |
| 15456.k2 |
15456m3 |
15456.k |
15456m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3864$ |
$48$ |
$0$ |
$1.839343722$ |
$1$ |
|
$3$ |
$7168$ |
$0.497921$ |
$13044257864/4473063$ |
$0.94311$ |
$3.06144$ |
$[0, -1, 0, -392, 2040]$ |
\(y^2=x^3-x^2-392x+2040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 168.24.0.?, $\ldots$ |
$[(-11, 70)]$ |
| 15456.k3 |
15456m1 |
15456.k |
15456m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$3.678687445$ |
$1$ |
|
$5$ |
$3584$ |
$0.151348$ |
$7392083392/233289$ |
$0.92763$ |
$2.78698$ |
$[0, -1, 0, -162, -720]$ |
\(y^2=x^3-x^2-162x-720\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 92.12.0.?, 168.24.0.?, $\ldots$ |
$[(90, 840)]$ |
| 15456.k4 |
15456m4 |
15456.k |
15456m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3864$ |
$48$ |
$0$ |
$7.357374890$ |
$1$ |
|
$1$ |
$7168$ |
$0.497921$ |
$23393656/5876661$ |
$0.93933$ |
$3.03525$ |
$[0, -1, 0, 48, -2652]$ |
\(y^2=x^3-x^2+48x-2652\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(1433/4, 54005/4)]$ |
| 15456.l1 |
15456r3 |
15456.l |
15456r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$1288$ |
$48$ |
$0$ |
$1.895995637$ |
$1$ |
|
$3$ |
$36864$ |
$1.285751$ |
$581400938887066376/13041$ |
$0.98974$ |
$4.88739$ |
$[0, 1, 0, -139104, 19922760]$ |
\(y^2=x^3+x^2-139104x+19922760\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 644.12.0.?, 1288.48.0.? |
$[(219, 102)]$ |
| 15456.l2 |
15456r2 |
15456.l |
15456r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$1288$ |
$48$ |
$0$ |
$1.895995637$ |
$1$ |
|
$3$ |
$36864$ |
$1.285751$ |
$185446537613576/54423757521$ |
$0.95677$ |
$4.05278$ |
$[0, 1, 0, -9504, 247212]$ |
\(y^2=x^3+x^2-9504x+247212\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 1288.48.0.? |
$[(87, 294)]$ |
| 15456.l3 |
15456r1 |
15456.l |
15456r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$0.947997818$ |
$1$ |
|
$11$ |
$18432$ |
$0.939178$ |
$1135671162482368/170067681$ |
$1.03333$ |
$4.02508$ |
$[0, 1, 0, -8694, 309096]$ |
\(y^2=x^3+x^2-8694x+309096\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 644.24.0.?, 1288.48.0.? |
$[(60, 84)]$ |
| 15456.l4 |
15456r4 |
15456.l |
15456r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{16} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$1288$ |
$48$ |
$0$ |
$1.895995637$ |
$1$ |
|
$9$ |
$36864$ |
$1.285751$ |
$-13258203533632/6930522081$ |
$1.02158$ |
$4.06158$ |
$[0, 1, 0, -7889, 369471]$ |
\(y^2=x^3+x^2-7889x+369471\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 644.24.0.?, 1288.48.0.? |
$[(37, 360)]$ |
| 15456.m1 |
15456c3 |
15456.m |
15456c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$0.848895$ |
$375523199368136/91287$ |
$0.95087$ |
$4.12593$ |
$[0, 1, 0, -12024, 503496]$ |
\(y^2=x^3+x^2-12024x+503496\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.m2 |
15456c2 |
15456.m |
15456c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.848895$ |
$89194791232/41136627$ |
$0.91828$ |
$3.47633$ |
$[0, 1, 0, -1489, -10465]$ |
\(y^2=x^3+x^2-1489x-10465\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.m3 |
15456c1 |
15456.m |
15456c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$0.502322$ |
$741709148608/11431161$ |
$0.90956$ |
$3.26476$ |
$[0, 1, 0, -754, 7616]$ |
\(y^2=x^3+x^2-754x+7616\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 184.24.0.?, 552.48.0.? |
$[]$ |
| 15456.m4 |
15456c4 |
15456.m |
15456c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$15360$ |
$0.848895$ |
$-57512456/397771269$ |
$1.01830$ |
$3.47246$ |
$[0, 1, 0, -64, 21692]$ |
\(y^2=x^3+x^2-64x+21692\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[]$ |
| 15456.n1 |
15456e1 |
15456.n |
15456e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{11} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.108130125$ |
$1$ |
|
$10$ |
$29568$ |
$1.220699$ |
$-39889507589632/1397512683$ |
$0.94368$ |
$4.11515$ |
$[0, 1, 0, -11389, 477995]$ |
\(y^2=x^3+x^2-11389x+477995\) |
966.2.0.? |
$[(77, 252)]$ |
| 15456.o1 |
15456v2 |
15456.o |
15456v |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$0.672155686$ |
$1$ |
|
$7$ |
$3584$ |
$0.240399$ |
$2438569736/91287$ |
$0.84498$ |
$2.88759$ |
$[0, 1, 0, -224, 1176]$ |
\(y^2=x^3+x^2-224x+1176\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(10, 6)]$ |
| 15456.o2 |
15456v1 |
15456.o |
15456v |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.344311373$ |
$1$ |
|
$5$ |
$1792$ |
$-0.106174$ |
$314432/33327$ |
$0.86414$ |
$2.28310$ |
$[0, 1, 0, 6, 72]$ |
\(y^2=x^3+x^2+6x+72\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(-3, 6)]$ |
| 15456.p1 |
15456t2 |
15456.p |
15456t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{8} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.599013$ |
$1146415874696/1056321$ |
$0.90838$ |
$3.52549$ |
$[0, 1, 0, -1744, -28600]$ |
\(y^2=x^3+x^2-1744x-28600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.13, 92.12.0.?, $\ldots$ |
$[]$ |
| 15456.p2 |
15456t3 |
15456.p |
15456t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.599013$ |
$43169672512/497007$ |
$0.96661$ |
$3.40110$ |
$[0, 1, 0, -1169, 14847]$ |
\(y^2=x^3+x^2-1169x+14847\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.bb.1.2, 92.24.0.?, 1288.48.0.? |
$[]$ |
| 15456.p3 |
15456t1 |
15456.p |
15456t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.252440$ |
$4188852928/2099601$ |
$0.99471$ |
$2.72810$ |
$[0, 1, 0, -134, -264]$ |
\(y^2=x^3+x^2-134x-264\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.4, 92.24.0.?, 1288.48.0.? |
$[]$ |
| 15456.p4 |
15456t4 |
15456.p |
15456t |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3^{2} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8192$ |
$0.599013$ |
$26304066424/17629983$ |
$0.91112$ |
$3.13416$ |
$[0, 1, 0, 496, -1524]$ |
\(y^2=x^3+x^2+496x-1524\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.v.1.1, 184.24.0.?, 1288.48.0.? |
$[]$ |
| 15456.q1 |
15456u1 |
15456.q |
15456u |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3^{17} \cdot 7 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.137833250$ |
$1$ |
|
$8$ |
$192576$ |
$2.071335$ |
$-145765603223714807432/10998738542547$ |
$1.01183$ |
$5.46012$ |
$[0, 1, 0, -877136, 315918696]$ |
\(y^2=x^3+x^2-877136x+315918696\) |
3864.2.0.? |
$[(550, 414)]$ |
| 15456.r1 |
15456q1 |
15456.r |
15456q |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.092428688$ |
$1$ |
|
$2$ |
$1728$ |
$-0.286247$ |
$-8/483$ |
$0.91340$ |
$2.06029$ |
$[0, 1, 0, 0, -24]$ |
\(y^2=x^3+x^2-24\) |
3864.2.0.? |
$[(14, 54)]$ |
| 15456.s1 |
15456d3 |
15456.s |
15456d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3864$ |
$48$ |
$0$ |
$5.942222653$ |
$1$ |
|
$1$ |
$7168$ |
$0.497921$ |
$462248527168/483$ |
$0.90451$ |
$3.64690$ |
$[0, 1, 0, -2577, 49503]$ |
\(y^2=x^3+x^2-2577x+49503\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 92.12.0.?, $\ldots$ |
$[(689/4, 9105/4)]$ |
| 15456.s2 |
15456d2 |
15456.s |
15456d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3864$ |
$48$ |
$0$ |
$1.485555663$ |
$1$ |
|
$5$ |
$7168$ |
$0.497921$ |
$13044257864/4473063$ |
$0.94311$ |
$3.06144$ |
$[0, 1, 0, -392, -2040]$ |
\(y^2=x^3+x^2-392x-2040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 92.12.0.?, 168.24.0.?, $\ldots$ |
$[(-14, 30)]$ |
| 15456.s3 |
15456d1 |
15456.s |
15456d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$2.971111326$ |
$1$ |
|
$5$ |
$3584$ |
$0.151348$ |
$7392083392/233289$ |
$0.92763$ |
$2.78698$ |
$[0, 1, 0, -162, 720]$ |
\(y^2=x^3+x^2-162x+720\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 92.12.0.?, 168.24.0.?, $\ldots$ |
$[(33, 180)]$ |
| 15456.s4 |
15456d4 |
15456.s |
15456d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3864$ |
$48$ |
$0$ |
$5.942222653$ |
$1$ |
|
$1$ |
$7168$ |
$0.497921$ |
$23393656/5876661$ |
$0.93933$ |
$3.03525$ |
$[0, 1, 0, 48, 2652]$ |
\(y^2=x^3+x^2+48x+2652\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(283/3, 5140/3)]$ |
| 15456.t1 |
15456s1 |
15456.t |
15456s |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 7^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$1.058260$ |
$-12487168/613472307$ |
$1.06929$ |
$3.73295$ |
$[0, 1, 0, -77, -76293]$ |
\(y^2=x^3+x^2-77x-76293\) |
966.2.0.? |
$[]$ |
| 15456.u1 |
15456f2 |
15456.u |
15456f |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{6} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$78336$ |
$1.629753$ |
$461019267341732744/115946266023$ |
$1.03123$ |
$4.86334$ |
$[0, 1, 0, -128752, -17821060]$ |
\(y^2=x^3+x^2-128752x-17821060\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 15456.u2 |
15456f1 |
15456.u |
15456f |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$39168$ |
$1.283180$ |
$-613864936718272/456986789343$ |
$0.97510$ |
$4.04703$ |
$[0, 1, 0, -7082, -349248]$ |
\(y^2=x^3+x^2-7082x-349248\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 15456.v1 |
15456g1 |
15456.v |
15456g |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$0.102535$ |
$-12487168/4347$ |
$0.76372$ |
$2.60518$ |
$[0, 1, 0, -77, -357]$ |
\(y^2=x^3+x^2-77x-357\) |
966.2.0.? |
$[]$ |
