| 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 |
| 7800.a1 |
7800n3 |
7800.a |
7800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$2.396820$ |
$19129597231400697604/26325$ |
$1.02876$ |
$6.80503$ |
$[0, -1, 0, -14040008, -20244113988]$ |
\(y^2=x^3-x^2-14040008x-20244113988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7800.a2 |
7800n2 |
7800.a |
7800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$520$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$2.050247$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.87691$ |
$[0, -1, 0, -877508, -316088988]$ |
\(y^2=x^3-x^2-877508x-316088988\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0-4.a.1.1, 40.48.0-8.g.1.1, $\ldots$ |
$[]$ |
| 7800.a3 |
7800n4 |
7800.a |
7800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{14} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$2.396820$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.89745$ |
$[0, -1, 0, -837008, -346625988]$ |
\(y^2=x^3-x^2-837008x-346625988\) |
2.3.0.a.1, 4.24.0.c.1, 20.48.0-4.c.1.1, 104.48.1.?, 208.96.1.?, $\ldots$ |
$[]$ |
| 7800.a4 |
7800n1 |
7800.a |
7800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.703672$ |
$83587439220736/13990184325$ |
$1.00034$ |
$4.96393$ |
$[0, -1, 0, -57383, -4441488]$ |
\(y^2=x^3-x^2-57383x-4441488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 7800.b1 |
7800s1 |
7800.b |
7800s |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49280$ |
$1.760653$ |
$-789601498112/2302911$ |
$0.98466$ |
$5.29241$ |
$[0, -1, 0, -152833, 23106037]$ |
\(y^2=x^3-x^2-152833x+23106037\) |
390.2.0.? |
$[]$ |
| 7800.c1 |
7800r1 |
7800.c |
7800r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3168$ |
$0.367043$ |
$-781250/351$ |
$1.25172$ |
$3.14728$ |
$[0, -1, 0, -208, 1612]$ |
\(y^2=x^3-x^2-208x+1612\) |
312.2.0.? |
$[]$ |
| 7800.d1 |
7800a3 |
7800.d |
7800a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.381901566$ |
$1$ |
|
$3$ |
$8192$ |
$1.007845$ |
$62275269892/39$ |
$1.05219$ |
$4.62436$ |
$[0, -1, 0, -20808, -1148388]$ |
\(y^2=x^3-x^2-20808x-1148388\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[(317, 4900)]$ |
| 7800.d2 |
7800a2 |
7800.d |
7800a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$2.190950783$ |
$1$ |
|
$9$ |
$4096$ |
$0.661271$ |
$61918288/1521$ |
$0.98715$ |
$3.69823$ |
$[0, -1, 0, -1308, -17388]$ |
\(y^2=x^3-x^2-1308x-17388\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.2, $\ldots$ |
$[(-22, 16)]$ |
| 7800.d3 |
7800a1 |
7800.d |
7800a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.095475391$ |
$1$ |
|
$7$ |
$2048$ |
$0.314697$ |
$2725888/1053$ |
$0.92420$ |
$3.04038$ |
$[0, -1, 0, -183, 612]$ |
\(y^2=x^3-x^2-183x+612\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 26.6.0.b.1, $\ldots$ |
$[(3, 9)]$ |
| 7800.d4 |
7800a4 |
7800.d |
7800a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.381901566$ |
$1$ |
|
$3$ |
$8192$ |
$1.007845$ |
$48668/85683$ |
$1.07537$ |
$3.95016$ |
$[0, -1, 0, 192, -56388]$ |
\(y^2=x^3-x^2+192x-56388\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(53, 316)]$ |
| 7800.e1 |
7800o3 |
7800.e |
7800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{9} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$2.001712665$ |
$1$ |
|
$3$ |
$73728$ |
$2.125282$ |
$52337949619538/23423590125$ |
$0.99759$ |
$5.45310$ |
$[0, -1, 0, -247408, -22467188]$ |
\(y^2=x^3-x^2-247408x-22467188\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 104.24.0.?, 520.48.0.? |
$[(597, 6500)]$ |
| 7800.e2 |
7800o2 |
7800.e |
7800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$4.003425330$ |
$1$ |
|
$7$ |
$36864$ |
$1.778708$ |
$12677589459076/213890625$ |
$1.04517$ |
$5.21754$ |
$[0, -1, 0, -122408, 16282812]$ |
\(y^2=x^3-x^2-122408x+16282812\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(173, 504)]$ |
| 7800.e3 |
7800o1 |
7800.e |
7800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{9} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$2.001712665$ |
$1$ |
|
$9$ |
$18432$ |
$1.432135$ |
$50091484483024/14625$ |
$1.04455$ |
$5.21617$ |
$[0, -1, 0, -121908, 16423812]$ |
\(y^2=x^3-x^2-121908x+16423812\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[(198, 96)]$ |
| 7800.e4 |
7800o4 |
7800.e |
7800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{18} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$8.006850661$ |
$1$ |
|
$3$ |
$73728$ |
$2.125282$ |
$-546718898/28564453125$ |
$1.10685$ |
$5.44656$ |
$[0, -1, 0, -5408, 46000812]$ |
\(y^2=x^3-x^2-5408x+46000812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 104.24.0.?, $\ldots$ |
$[(2773, 146104)]$ |
| 7800.f1 |
7800p2 |
7800.f |
7800p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.299297103$ |
$1$ |
|
$7$ |
$4608$ |
$0.590858$ |
$137842000/117$ |
$0.90407$ |
$3.78753$ |
$[0, -1, 0, -1708, -26588]$ |
\(y^2=x^3-x^2-1708x-26588\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-24, 2)]$ |
| 7800.f2 |
7800p1 |
7800.f |
7800p |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.598594207$ |
$1$ |
|
$5$ |
$2304$ |
$0.244284$ |
$-256000/507$ |
$0.90091$ |
$2.94233$ |
$[0, -1, 0, -83, -588]$ |
\(y^2=x^3-x^2-83x-588\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(13, 19)]$ |
| 7800.g1 |
7800k1 |
7800.g |
7800k |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{7} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$126720$ |
$2.164459$ |
$396555344454656/328867205355$ |
$1.02213$ |
$5.44703$ |
$[0, -1, 0, 242967, 30253437]$ |
\(y^2=x^3-x^2+242967x+30253437\) |
390.2.0.? |
$[]$ |
| 7800.h1 |
7800l2 |
7800.h |
7800l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.981338$ |
$434163602/7605$ |
$0.87463$ |
$4.14759$ |
$[0, -1, 0, -5008, 136012]$ |
\(y^2=x^3-x^2-5008x+136012\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 7800.h2 |
7800l1 |
7800.h |
7800l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.634764$ |
$-4/975$ |
$1.04093$ |
$3.45076$ |
$[0, -1, 0, -8, 6012]$ |
\(y^2=x^3-x^2-8x+6012\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 7800.i1 |
7800q1 |
7800.i |
7800q |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.622007720$ |
$1$ |
|
$6$ |
$11520$ |
$1.039320$ |
$-504871936/394875$ |
$0.89480$ |
$4.02780$ |
$[0, -1, 0, -2633, 80637]$ |
\(y^2=x^3-x^2-2633x+80637\) |
390.2.0.? |
$[(7, 250)]$ |
| 7800.j1 |
7800b2 |
7800.j |
7800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.766252$ |
$94875856/9477$ |
$0.90366$ |
$3.74585$ |
$[0, -1, 0, -1508, 21012]$ |
\(y^2=x^3-x^2-1508x+21012\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 7800.j2 |
7800b1 |
7800.j |
7800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.419678$ |
$702464/4563$ |
$0.96739$ |
$3.14849$ |
$[0, -1, 0, 117, 1512]$ |
\(y^2=x^3-x^2+117x+1512\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 7800.k1 |
7800m3 |
7800.k |
7800m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.450039$ |
$490757540836/2142075$ |
$0.93734$ |
$4.85471$ |
$[0, -1, 0, -41408, -3217188]$ |
\(y^2=x^3-x^2-41408x-3217188\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 7800.k2 |
7800m2 |
7800.k |
7800m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.103466$ |
$1650587344/950625$ |
$0.98820$ |
$4.06457$ |
$[0, -1, 0, -3908, 7812]$ |
\(y^2=x^3-x^2-3908x+7812\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[]$ |
| 7800.k3 |
7800m1 |
7800.k |
7800m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.756892$ |
$9538484224/26325$ |
$0.91841$ |
$3.95094$ |
$[0, -1, 0, -2783, 57312]$ |
\(y^2=x^3-x^2-2783x+57312\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 7800.k4 |
7800m4 |
7800.k |
7800m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.450039$ |
$26198797244/15234375$ |
$1.02140$ |
$4.52774$ |
$[0, -1, 0, 15592, 46812]$ |
\(y^2=x^3-x^2+15592x+46812\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7800.l1 |
7800c1 |
7800.l |
7800c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.264341$ |
$351232/59319$ |
$1.13031$ |
$4.29286$ |
$[0, -1, 0, 1167, -261963]$ |
\(y^2=x^3-x^2+1167x-261963\) |
390.2.0.? |
$[]$ |
| 7800.m1 |
7800x1 |
7800.m |
7800x |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.180950656$ |
$1$ |
|
$8$ |
$5760$ |
$0.459622$ |
$351232/59319$ |
$1.13031$ |
$3.21534$ |
$[0, 1, 0, 47, -2077]$ |
\(y^2=x^3+x^2+47x-2077\) |
390.2.0.? |
$[(53, 390)]$ |
| 7800.n1 |
7800u3 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.089429912$ |
$1$ |
|
$5$ |
$16384$ |
$1.107552$ |
$3044193988/85293$ |
$0.95679$ |
$4.28756$ |
$[0, 1, 0, -7608, -251712]$ |
\(y^2=x^3+x^2-7608x-251712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[(-48, 72)]$ |
| 7800.n2 |
7800u2 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$1560$ |
$192$ |
$3$ |
$0.544714956$ |
$1$ |
|
$17$ |
$8192$ |
$0.760979$ |
$37642192/13689$ |
$0.91195$ |
$3.64270$ |
$[0, 1, 0, -1108, 8288]$ |
\(y^2=x^3+x^2-1108x+8288\) |
2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.1, 24.24.0.k.1, 52.24.0.b.1, $\ldots$ |
$[(2, 78)]$ |
| 7800.n3 |
7800u1 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.089429912$ |
$1$ |
|
$5$ |
$4096$ |
$0.414405$ |
$420616192/117$ |
$0.96408$ |
$3.60264$ |
$[0, 1, 0, -983, 11538]$ |
\(y^2=x^3+x^2-983x+11538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[(19, 9)]$ |
| 7800.n4 |
7800u4 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$3120$ |
$192$ |
$3$ |
$1.089429912$ |
$1$ |
|
$7$ |
$16384$ |
$1.107552$ |
$269676572/257049$ |
$0.96683$ |
$4.01711$ |
$[0, 1, 0, 3392, 62288]$ |
\(y^2=x^3+x^2+3392x+62288\) |
2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.1, 60.48.0-12.e.1.2, $\ldots$ |
$[(8, 300)]$ |
| 7800.o1 |
7800g4 |
7800.o |
7800g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.485098$ |
$31103978031362/195$ |
$0.97111$ |
$5.39503$ |
$[0, 1, 0, -208008, 36445488]$ |
\(y^2=x^3+x^2-208008x+36445488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 312.24.0.?, $\ldots$ |
$[]$ |
| 7800.o2 |
7800g3 |
7800.o |
7800g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.485098$ |
$20183398562/11567205$ |
$1.00841$ |
$4.57598$ |
$[0, 1, 0, -18008, 85488]$ |
\(y^2=x^3+x^2-18008x+85488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$ |
$[]$ |
| 7800.o3 |
7800g2 |
7800.o |
7800g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.138525$ |
$15214885924/38025$ |
$0.90605$ |
$4.46710$ |
$[0, 1, 0, -13008, 565488]$ |
\(y^2=x^3+x^2-13008x+565488\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 156.12.0.?, $\ldots$ |
$[]$ |
| 7800.o4 |
7800g1 |
7800.o |
7800g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.791950$ |
$-3631696/24375$ |
$0.84900$ |
$3.66447$ |
$[0, 1, 0, -508, 15488]$ |
\(y^2=x^3+x^2-508x+15488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[]$ |
| 7800.p1 |
7800v2 |
7800.p |
7800v |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.891254$ |
$4234737878642/1247410125$ |
$0.96992$ |
$5.17253$ |
$[0, 1, 0, -107008, -9476512]$ |
\(y^2=x^3+x^2-107008x-9476512\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 7800.p2 |
7800v1 |
7800.p |
7800v |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.544682$ |
$40254822716/49359375$ |
$0.94318$ |
$4.58820$ |
$[0, 1, 0, 17992, -976512]$ |
\(y^2=x^3+x^2+17992x-976512\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 7800.q1 |
7800f1 |
7800.q |
7800f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15840$ |
$1.171762$ |
$-781250/351$ |
$1.25172$ |
$4.22481$ |
$[0, 1, 0, -5208, 191088]$ |
\(y^2=x^3+x^2-5208x+191088\) |
312.2.0.? |
$[]$ |
| 7800.r1 |
7800e4 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.722290$ |
$1556580279686303289604/114075$ |
$1.04256$ |
$7.29589$ |
$[0, 1, 0, -60840008, 182634907488]$ |
\(y^2=x^3+x^2-60840008x+182634907488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.f.1, $\ldots$ |
$[]$ |
| 7800.r2 |
7800e5 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{22} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$3.068863$ |
$8248670337458940482/1446075439453125$ |
$1.08352$ |
$6.78851$ |
$[0, 1, 0, -13364008, -15704090512]$ |
\(y^2=x^3+x^2-13364008x-15704090512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7800.r3 |
7800e3 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{14} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$2.722290$ |
$405929061432816484/35083409765625$ |
$1.07074$ |
$6.37512$ |
$[0, 1, 0, -3887008, 2719197488]$ |
\(y^2=x^3+x^2-3887008x+2719197488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0-4.b.1.1, 24.48.0.t.1, $\ldots$ |
$[]$ |
| 7800.r4 |
7800e2 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$2.375717$ |
$1520107298839022416/13013105625$ |
$1.01425$ |
$6.36776$ |
$[0, 1, 0, -3802508, 2852707488]$ |
\(y^2=x^3+x^2-3802508x+2852707488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0.c.1, 20.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 7800.r5 |
7800e1 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$2.029144$ |
$-5551350318708736/550618236675$ |
$1.01951$ |
$5.44978$ |
$[0, 1, 0, -232383, 46589238]$ |
\(y^2=x^3+x^2-232383x+46589238\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 7800.r6 |
7800e6 |
7800.r |
7800e |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{24} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$3120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$3.068863$ |
$263059523447441758/2294739983908125$ |
$1.04969$ |
$6.69912$ |
$[0, 1, 0, 4237992, 12599197488]$ |
\(y^2=x^3+x^2+4237992x+12599197488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 20.12.0-4.c.1.1, 40.48.0-8.ba.2.4, $\ldots$ |
$[]$ |
| 7800.s1 |
7800i1 |
7800.s |
7800i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.261734885$ |
$1$ |
|
$11$ |
$19200$ |
$1.341105$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.54227$ |
$[0, 1, 0, -16283, 745938]$ |
\(y^2=x^3+x^2-16283x+745938\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(133, 975)]$ |
| 7800.s2 |
7800i2 |
7800.s |
7800i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.523469770$ |
$1$ |
|
$9$ |
$38400$ |
$1.687677$ |
$77366117936/1172914587$ |
$1.04122$ |
$4.85393$ |
$[0, 1, 0, 14092, 3236688]$ |
\(y^2=x^3+x^2+14092x+3236688\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(52, 2028)]$ |
| 7800.t1 |
7800d4 |
7800.t |
7800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.816235$ |
$49235161015876/137109375$ |
$0.96975$ |
$5.36893$ |
$[0, 1, 0, -192408, 32342688]$ |
\(y^2=x^3+x^2-192408x+32342688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7800.t2 |
7800d3 |
7800.t |
7800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.816235$ |
$39914580075556/172718325$ |
$0.96849$ |
$5.34552$ |
$[0, 1, 0, -179408, -29199312]$ |
\(y^2=x^3+x^2-179408x-29199312\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 7800.t3 |
7800d2 |
7800.t |
7800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.469662$ |
$133649126224/77000625$ |
$1.02472$ |
$4.55488$ |
$[0, 1, 0, -16908, 50688]$ |
\(y^2=x^3+x^2-16908x+50688\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.1, $\ldots$ |
$[]$ |
