| 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 |
| 4704.a1 |
4704q1 |
4704.a |
4704q |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.769661$ |
$3584/3$ |
$0.82184$ |
$3.79241$ |
$[0, -1, 0, 915, -7419]$ |
\(y^2=x^3-x^2+915x-7419\) |
6.2.0.a.1 |
$[ ]$ |
| 4704.b1 |
4704g1 |
4704.b |
4704g |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$-0.080772$ |
$-1668296/27$ |
$0.92232$ |
$2.89552$ |
$[0, -1, 0, -72, -216]$ |
\(y^2=x^3-x^2-72x-216\) |
24.2.0.b.1 |
$[ ]$ |
| 4704.c1 |
4704v3 |
4704.c |
4704v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1.226139227$ |
$1$ |
|
$9$ |
$6144$ |
$1.071901$ |
$1036433728/63$ |
$1.07156$ |
$4.81924$ |
$[0, -1, 0, -16529, 823425]$ |
\(y^2=x^3-x^2-16529x+823425\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 28.24.0-28.h.1.2, 56.48.0-56.br.1.4 |
$[(77, 36)]$ |
| 4704.c2 |
4704v2 |
4704.c |
4704v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1.226139227$ |
$1$ |
|
$7$ |
$6144$ |
$1.071901$ |
$306182024/21609$ |
$0.95815$ |
$4.42913$ |
$[0, -1, 0, -5504, -145452]$ |
\(y^2=x^3-x^2-5504x-145452\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.bc.1.4 |
$[(-44, 98)]$ |
| 4704.c3 |
4704v1 |
4704.c |
4704v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$2.452278454$ |
$1$ |
|
$7$ |
$3072$ |
$0.725328$ |
$19248832/3969$ |
$1.05560$ |
$3.85604$ |
$[0, -1, 0, -1094, 11544]$ |
\(y^2=x^3-x^2-1094x+11544\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.a.1.1, 56.48.0-56.b.1.3 |
$[(44, 216)]$ |
| 4704.c4 |
4704v4 |
4704.c |
4704v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$4.904556909$ |
$1$ |
|
$1$ |
$6144$ |
$1.071901$ |
$23393656/45927$ |
$1.19818$ |
$4.22817$ |
$[0, -1, 0, 2336, 66424]$ |
\(y^2=x^3-x^2+2336x+66424\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 56.48.0-56.bt.1.8 |
$[(577/3, 18620/3)]$ |
| 4704.d1 |
4704w2 |
4704.d |
4704w |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1.177362049$ |
$1$ |
|
$7$ |
$1536$ |
$0.428162$ |
$1906624/729$ |
$1.01837$ |
$3.38408$ |
$[0, -1, 0, -289, -1007]$ |
\(y^2=x^3-x^2-289x-1007\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[(-9, 28)]$ |
| 4704.d2 |
4704w1 |
4704.d |
4704w |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$2.354724098$ |
$1$ |
|
$3$ |
$768$ |
$0.081588$ |
$82881856/27$ |
$1.01988$ |
$3.33834$ |
$[0, -1, 0, -254, -1476]$ |
\(y^2=x^3-x^2-254x-1476\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[(19, 14)]$ |
| 4704.e1 |
4704f2 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2304$ |
$0.546735$ |
$7301384/3$ |
$1.03749$ |
$3.98731$ |
$[0, -1, 0, -1584, -23736]$ |
\(y^2=x^3-x^2-1584x-23736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.2, $\ldots$ |
$[ ]$ |
| 4704.e2 |
4704f3 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$140608/3$ |
$1.02705$ |
$3.76612$ |
$[0, -1, 0, -849, 9633]$ |
\(y^2=x^3-x^2-849x+9633\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[ ]$ |
| 4704.e3 |
4704f1 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1152$ |
$0.200161$ |
$21952/9$ |
$1.09175$ |
$3.05469$ |
$[0, -1, 0, -114, -216]$ |
\(y^2=x^3-x^2-114x-216\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
| 4704.e4 |
4704f4 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$97336/81$ |
$1.05989$ |
$3.47672$ |
$[0, -1, 0, 376, -1980]$ |
\(y^2=x^3-x^2+376x-1980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 4704.f1 |
4704t1 |
4704.f |
4704t |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$8.065253045$ |
$1$ |
|
$2$ |
$43680$ |
$2.021038$ |
$2731405432/1594323$ |
$1.19582$ |
$5.60839$ |
$[0, -1, 0, 152864, -2188556]$ |
\(y^2=x^3-x^2+152864x-2188556\) |
24.2.0.b.1 |
$[(6180, 486758)]$ |
| 4704.g1 |
4704a1 |
4704.g |
4704a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.054051424$ |
$1$ |
|
$2$ |
$9408$ |
$1.315773$ |
$-448000/2187$ |
$1.01854$ |
$4.62882$ |
$[0, -1, 0, -4573, -364139]$ |
\(y^2=x^3-x^2-4573x-364139\) |
6.2.0.a.1 |
$[(1155, 39164)]$ |
| 4704.h1 |
4704b1 |
4704.h |
4704b |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.305407997$ |
$1$ |
|
$6$ |
$1728$ |
$0.441430$ |
$-3136000/27$ |
$1.00559$ |
$3.67479$ |
$[0, -1, 0, -653, 6693]$ |
\(y^2=x^3-x^2-653x+6693\) |
6.2.0.a.1 |
$[(19, 28)]$ |
| 4704.i1 |
4704d1 |
4704.i |
4704d |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$1.414385$ |
$-3136000/27$ |
$1.00559$ |
$5.05549$ |
$[0, -1, 0, -32013, 2231685]$ |
\(y^2=x^3-x^2-32013x+2231685\) |
6.2.0.a.1 |
$[ ]$ |
| 4704.j1 |
4704r1 |
4704.j |
4704r |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.362771758$ |
$1$ |
|
$2$ |
$1344$ |
$0.342818$ |
$-448000/2187$ |
$1.01854$ |
$3.24812$ |
$[0, -1, 0, -93, -1035]$ |
\(y^2=x^3-x^2-93x-1035\) |
6.2.0.a.1 |
$[(23, 92)]$ |
| 4704.k1 |
4704s2 |
4704.k |
4704s |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.709574506$ |
$1$ |
|
$7$ |
$3072$ |
$0.762412$ |
$1000000/63$ |
$1.02461$ |
$3.99812$ |
$[0, -1, 0, -1633, 24529]$ |
\(y^2=x^3-x^2-1633x+24529\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(-9, 196)]$ |
| 4704.k2 |
4704s1 |
4704.k |
4704s |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.419149013$ |
$1$ |
|
$3$ |
$1536$ |
$0.415838$ |
$8000/147$ |
$0.94365$ |
$3.34046$ |
$[0, -1, 0, 82, 1548]$ |
\(y^2=x^3-x^2+82x+1548\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(19, 98)]$ |
| 4704.l1 |
4704p1 |
4704.l |
4704p |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6240$ |
$1.048082$ |
$2731405432/1594323$ |
$1.19582$ |
$4.22769$ |
$[0, -1, 0, 3120, -7272]$ |
\(y^2=x^3-x^2+3120x-7272\) |
24.2.0.b.1 |
$[ ]$ |
| 4704.m1 |
4704u3 |
4704.m |
4704u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$5.273494056$ |
$1$ |
|
$3$ |
$6144$ |
$0.914322$ |
$2438569736/21$ |
$0.97593$ |
$4.67451$ |
$[0, -1, 0, -10992, 447252]$ |
\(y^2=x^3-x^2-10992x+447252\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 56.24.0-56.ba.1.4, 168.48.0.? |
$[(1469/2, 54145/2)]$ |
| 4704.m2 |
4704u2 |
4704.m |
4704u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1.318373514$ |
$1$ |
|
$7$ |
$6144$ |
$0.914322$ |
$3241792/567$ |
$0.96732$ |
$4.13720$ |
$[0, -1, 0, -2417, -37407]$ |
\(y^2=x^3-x^2-2417x-37407\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 28.24.0-28.h.1.1, 168.48.0.? |
$[(-19, 36)]$ |
| 4704.m3 |
4704u1 |
4704.m |
4704u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.636747028$ |
$1$ |
|
$7$ |
$3072$ |
$0.567748$ |
$5088448/441$ |
$0.96662$ |
$3.69870$ |
$[0, -1, 0, -702, 6840]$ |
\(y^2=x^3-x^2-702x+6840\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 28.24.0-28.a.1.2, 168.48.0.? |
$[(20, 20)]$ |
| 4704.m4 |
4704u4 |
4704.m |
4704u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$5.273494056$ |
$1$ |
|
$1$ |
$6144$ |
$0.914322$ |
$830584/7203$ |
$0.97109$ |
$4.04222$ |
$[0, -1, 0, 768, 30360]$ |
\(y^2=x^3-x^2+768x+30360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 28.12.0-4.c.1.1, $\ldots$ |
$[(-67/2, 895/2)]$ |
| 4704.n1 |
4704e2 |
4704.n |
4704e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.401117$ |
$1906624/729$ |
$1.01837$ |
$4.76478$ |
$[0, -1, 0, -14177, -373743]$ |
\(y^2=x^3-x^2-14177x-373743\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[ ]$ |
| 4704.n2 |
4704e1 |
4704.n |
4704e |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5376$ |
$1.054543$ |
$82881856/27$ |
$1.01988$ |
$4.71904$ |
$[0, -1, 0, -12462, -531180]$ |
\(y^2=x^3-x^2-12462x-531180\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[ ]$ |
| 4704.o1 |
4704c1 |
4704.o |
4704c |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$2.078893604$ |
$1$ |
|
$2$ |
$6048$ |
$0.892183$ |
$-1668296/27$ |
$0.92232$ |
$4.27623$ |
$[0, -1, 0, -3544, -81164]$ |
\(y^2=x^3-x^2-3544x-81164\) |
24.2.0.b.1 |
$[(180, 2254)]$ |
| 4704.p1 |
4704x1 |
4704.p |
4704x |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.192920401$ |
$1$ |
|
$2$ |
$960$ |
$-0.203295$ |
$3584/3$ |
$0.82184$ |
$2.41171$ |
$[0, -1, 0, 19, -27]$ |
\(y^2=x^3-x^2+19x-27\) |
6.2.0.a.1 |
$[(7, 20)]$ |
| 4704.q1 |
4704h2 |
4704.q |
4704h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.781610$ |
$92100460096/20253807$ |
$1.03479$ |
$5.34987$ |
$[0, -1, 0, -73761, -6046767]$ |
\(y^2=x^3-x^2-73761x-6046767\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
| 4704.q2 |
4704h1 |
4704.q |
4704h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$23040$ |
$1.435036$ |
$15926924096/28588707$ |
$1.04804$ |
$4.73836$ |
$[0, -1, 0, 10274, -584492]$ |
\(y^2=x^3-x^2+10274x-584492\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[ ]$ |
| 4704.r1 |
4704ba1 |
4704.r |
4704ba |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.805268362$ |
$1$ |
|
$2$ |
$6720$ |
$0.769661$ |
$3584/3$ |
$0.82184$ |
$3.79241$ |
$[0, 1, 0, 915, 7419]$ |
\(y^2=x^3+x^2+915x+7419\) |
6.2.0.a.1 |
$[(65, 588)]$ |
| 4704.s1 |
4704o1 |
4704.s |
4704o |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.221279469$ |
$1$ |
|
$6$ |
$864$ |
$-0.080772$ |
$-1668296/27$ |
$0.92232$ |
$2.89552$ |
$[0, 1, 0, -72, 216]$ |
\(y^2=x^3+x^2-72x+216\) |
24.2.0.b.1 |
$[(6, 6)]$ |
| 4704.t1 |
4704bf3 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$7301384/3$ |
$1.03749$ |
$3.98731$ |
$[0, 1, 0, -1584, 23736]$ |
\(y^2=x^3+x^2-1584x+23736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.1, $\ldots$ |
$[ ]$ |
| 4704.t2 |
4704bf2 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$140608/3$ |
$1.02705$ |
$3.76612$ |
$[0, 1, 0, -849, -9633]$ |
\(y^2=x^3+x^2-849x-9633\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[ ]$ |
| 4704.t3 |
4704bf1 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1152$ |
$0.200161$ |
$21952/9$ |
$1.09175$ |
$3.05469$ |
$[0, 1, 0, -114, 216]$ |
\(y^2=x^3+x^2-114x+216\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
| 4704.t4 |
4704bf4 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$97336/81$ |
$1.05989$ |
$3.47672$ |
$[0, 1, 0, 376, 1980]$ |
\(y^2=x^3+x^2+376x+1980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 4704.u1 |
4704n2 |
4704.u |
4704n |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$0.229544946$ |
$1$ |
|
$13$ |
$1536$ |
$0.428162$ |
$1906624/729$ |
$1.01837$ |
$3.38408$ |
$[0, 1, 0, -289, 1007]$ |
\(y^2=x^3+x^2-289x+1007\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[(-1, 36)]$ |
| 4704.u2 |
4704n1 |
4704.u |
4704n |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$0.459089892$ |
$1$ |
|
$9$ |
$768$ |
$0.081588$ |
$82881856/27$ |
$1.01988$ |
$3.33834$ |
$[0, 1, 0, -254, 1476]$ |
\(y^2=x^3+x^2-254x+1476\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[(10, 6)]$ |
| 4704.v1 |
4704be2 |
4704.v |
4704be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.071901$ |
$1036433728/63$ |
$1.07156$ |
$4.81924$ |
$[0, 1, 0, -16529, -823425]$ |
\(y^2=x^3+x^2-16529x-823425\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 28.24.0-28.h.1.1, 56.48.0-56.br.1.8 |
$[ ]$ |
| 4704.v2 |
4704be3 |
4704.v |
4704be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.071901$ |
$306182024/21609$ |
$0.95815$ |
$4.42913$ |
$[0, 1, 0, -5504, 145452]$ |
\(y^2=x^3+x^2-5504x+145452\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.1, 56.48.0-56.bc.1.7 |
$[ ]$ |
| 4704.v3 |
4704be1 |
4704.v |
4704be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.725328$ |
$19248832/3969$ |
$1.05560$ |
$3.85604$ |
$[0, 1, 0, -1094, -11544]$ |
\(y^2=x^3+x^2-1094x-11544\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.a.1.2, 56.48.0-56.b.1.5 |
$[ ]$ |
| 4704.v4 |
4704be4 |
4704.v |
4704be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.071901$ |
$23393656/45927$ |
$1.19818$ |
$4.22817$ |
$[0, 1, 0, 2336, -66424]$ |
\(y^2=x^3+x^2+2336x-66424\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 56.48.0-56.bt.1.4 |
$[ ]$ |
| 4704.w1 |
4704bb1 |
4704.w |
4704bb |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43680$ |
$2.021038$ |
$2731405432/1594323$ |
$1.19582$ |
$5.60839$ |
$[0, 1, 0, 152864, 2188556]$ |
\(y^2=x^3+x^2+152864x+2188556\) |
24.2.0.b.1 |
$[ ]$ |
| 4704.x1 |
4704m1 |
4704.x |
4704m |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.059168284$ |
$1$ |
|
$2$ |
$12096$ |
$1.414385$ |
$-3136000/27$ |
$1.00559$ |
$5.05549$ |
$[0, 1, 0, -32013, -2231685]$ |
\(y^2=x^3+x^2-32013x-2231685\) |
6.2.0.a.1 |
$[(237, 1884)]$ |
| 4704.y1 |
4704k1 |
4704.y |
4704k |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.216323246$ |
$1$ |
|
$6$ |
$1344$ |
$0.342818$ |
$-448000/2187$ |
$1.01854$ |
$3.24812$ |
$[0, 1, 0, -93, 1035]$ |
\(y^2=x^3+x^2-93x+1035\) |
6.2.0.a.1 |
$[(-3, 36)]$ |
| 4704.z1 |
4704l2 |
4704.z |
4704l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.469938656$ |
$1$ |
|
$5$ |
$3072$ |
$0.762412$ |
$1000000/63$ |
$1.02461$ |
$3.99812$ |
$[0, 1, 0, -1633, -24529]$ |
\(y^2=x^3+x^2-1633x-24529\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(-25, 36)]$ |
| 4704.z2 |
4704l1 |
4704.z |
4704l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.939877313$ |
$1$ |
|
$3$ |
$1536$ |
$0.415838$ |
$8000/147$ |
$0.94365$ |
$3.34046$ |
$[0, 1, 0, 82, -1548]$ |
\(y^2=x^3+x^2+82x-1548\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(18, 78)]$ |
| 4704.ba1 |
4704y1 |
4704.ba |
4704y |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.196142773$ |
$1$ |
|
$6$ |
$9408$ |
$1.315773$ |
$-448000/2187$ |
$1.01854$ |
$4.62882$ |
$[0, 1, 0, -4573, 364139]$ |
\(y^2=x^3+x^2-4573x+364139\) |
6.2.0.a.1 |
$[(65, 588)]$ |
| 4704.bb1 |
4704i1 |
4704.bb |
4704i |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.441430$ |
$-3136000/27$ |
$1.00559$ |
$3.67479$ |
$[0, 1, 0, -653, -6693]$ |
\(y^2=x^3+x^2-653x-6693\) |
6.2.0.a.1 |
$[ ]$ |
| 4704.bc1 |
4704z1 |
4704.bc |
4704z |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.356098002$ |
$1$ |
|
$6$ |
$6240$ |
$1.048082$ |
$2731405432/1594323$ |
$1.19582$ |
$4.22769$ |
$[0, 1, 0, 3120, 7272]$ |
\(y^2=x^3+x^2+3120x+7272\) |
24.2.0.b.1 |
$[(6, 162)]$ |
