| 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 |
Manin constant |
| 1600.a1 |
1600h1 |
1600.a |
1600h |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{17} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.334574362$ |
$1$ |
|
$6$ |
$384$ |
$-0.066947$ |
$270$ |
$1.01898$ |
$3.02086$ |
$[0, 0, 0, 20, -80]$ |
\(y^2=x^3+20x-80\) |
8.2.0.a.1 |
$[(6, 16)]$ |
$1$ |
| 1600.b1 |
1600y1 |
1600.b |
1600y |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{17} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.177662472$ |
$1$ |
|
$8$ |
$1920$ |
$0.737772$ |
$270$ |
$1.01898$ |
$4.32975$ |
$[0, 0, 0, 500, 10000]$ |
\(y^2=x^3+500x+10000\) |
8.2.0.a.1 |
$[(50, 400)]$ |
$1$ |
| 1600.c1 |
1600g3 |
1600.c |
1600g |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.23, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1.685790823$ |
$1$ |
|
$3$ |
$1152$ |
$0.770649$ |
$488095744/125$ |
$1.07376$ |
$4.96006$ |
$[0, 1, 0, -4133, -103637]$ |
\(y^2=x^3+x^2-4133x-103637\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.1, $\ldots$ |
$[(143, 1500)]$ |
$1$ |
| 1600.c2 |
1600g4 |
1600.c |
1600g |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{14} \cdot 5^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$3.371581646$ |
$1$ |
|
$3$ |
$2304$ |
$1.117222$ |
$-20720464/15625$ |
$0.95894$ |
$5.02071$ |
$[0, 1, 0, -3633, -129137]$ |
\(y^2=x^3+x^2-3633x-129137\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.2, 6.12.0.a.1, 12.48.0-12.d.1.2, $\ldots$ |
$[(253, 3900)]$ |
$1$ |
| 1600.c3 |
1600g1 |
1600.c |
1600g |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.23, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$0.561930274$ |
$1$ |
|
$7$ |
$384$ |
$0.221343$ |
$16384/5$ |
$0.95621$ |
$3.56371$ |
$[0, 1, 0, -133, 363]$ |
\(y^2=x^3+x^2-133x+363\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.1, $\ldots$ |
$[(-2, 25)]$ |
$1$ |
| 1600.c4 |
1600g2 |
1600.c |
1600g |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{14} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.6, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$9$ |
$1.123860548$ |
$1$ |
|
$7$ |
$768$ |
$0.567916$ |
$21296/25$ |
$0.83964$ |
$3.97887$ |
$[0, 1, 0, 367, 2863]$ |
\(y^2=x^3+x^2+367x+2863\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.2, 6.12.0.a.1, 12.48.0-12.d.1.2, $\ldots$ |
$[(13, 100)]$ |
$1$ |
| 1600.d1 |
1600x2 |
1600.d |
1600x |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.346 |
2B |
$80$ |
$384$ |
$9$ |
$1.470740263$ |
$1$ |
|
$5$ |
$256$ |
$0.019928$ |
$78608$ |
$0.87912$ |
$3.49762$ |
$[0, 1, 0, -113, -497]$ |
\(y^2=x^3+x^2-113x-497\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ |
$[(-6, 1)]$ |
$1$ |
| 1600.d2 |
1600x1 |
1600.d |
1600x |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.338 |
2B |
$80$ |
$384$ |
$9$ |
$0.735370131$ |
$1$ |
|
$7$ |
$128$ |
$-0.326646$ |
$2048$ |
$1.01898$ |
$2.62741$ |
$[0, 1, 0, -13, 3]$ |
\(y^2=x^3+x^2-13x+3\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ |
$[(-2, 5)]$ |
$1$ |
| 1600.e1 |
1600f2 |
1600.e |
1600f |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$40$ |
$48$ |
$0$ |
$0.632561593$ |
$1$ |
|
$9$ |
$768$ |
$0.445248$ |
$438976/5$ |
$0.87813$ |
$4.19729$ |
$[0, 1, 0, -633, 5863]$ |
\(y^2=x^3+x^2-633x+5863\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 10.6.0.a.1, 20.12.0.e.1, $\ldots$ |
$[(18, 25)]$ |
$1$ |
| 1600.e2 |
1600f1 |
1600.e |
1600f |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$40$ |
$48$ |
$0$ |
$1.265123187$ |
$1$ |
|
$3$ |
$384$ |
$0.098674$ |
$-64/25$ |
$1.09219$ |
$3.31952$ |
$[0, 1, 0, -8, 238]$ |
\(y^2=x^3+x^2-8x+238\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 20.24.0-20.d.1.2, 40.48.0-40.t.1.3 |
$[(13, 50)]$ |
$1$ |
| 1600.f1 |
1600m2 |
1600.f |
1600m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.346 |
2B |
$80$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$1280$ |
$0.824647$ |
$78608$ |
$0.87912$ |
$4.80650$ |
$[0, 1, 0, -2833, 56463]$ |
\(y^2=x^3+x^2-2833x+56463\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.f2 |
1600m1 |
1600.f |
1600m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.338 |
2B |
$80$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$640$ |
$0.478073$ |
$2048$ |
$1.01898$ |
$3.93629$ |
$[0, 1, 0, -333, -1037]$ |
\(y^2=x^3+x^2-333x-1037\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.g1 |
1600k1 |
1600.g |
1600k |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.662158$ |
$-5000$ |
$0.99499$ |
$4.34912$ |
$[0, -1, 0, -833, -10463]$ |
\(y^2=x^3-x^2-833x-10463\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[ ]$ |
$1$ |
| 1600.h1 |
1600d1 |
1600.h |
1600d |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$0.218002349$ |
$1$ |
|
$6$ |
$192$ |
$-0.142561$ |
$-5000$ |
$0.99499$ |
$3.04023$ |
$[0, -1, 0, -33, 97]$ |
\(y^2=x^3-x^2-33x+97\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[(1, 8)]$ |
$1$ |
| 1600.i1 |
1600q4 |
1600.i |
1600q |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{21} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$1.667646$ |
$-349938025/8$ |
$1.05078$ |
$6.53916$ |
$[0, -1, 0, -200833, 34709537]$ |
\(y^2=x^3-x^2-200833x+34709537\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 10.24.0-5.a.2.2, 15.96.1.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.i2 |
1600q3 |
1600.i |
1600q |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{19} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$1.118340$ |
$-25/2$ |
$1.09044$ |
$4.97795$ |
$[0, -1, 0, -833, 109537]$ |
\(y^2=x^3-x^2-833x+109537\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 10.24.0-5.a.2.2, 15.96.1.a.2, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.i3 |
1600q1 |
1600.i |
1600q |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{23} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.313621$ |
$-121945/32$ |
$0.94334$ |
$3.76548$ |
$[0, -1, 0, -193, -1183]$ |
\(y^2=x^3-x^2-193x-1183\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 10.24.0-5.a.1.1, 15.96.1.a.4, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.i4 |
1600q2 |
1600.i |
1600q |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{33} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.862927$ |
$46969655/32768$ |
$1.06296$ |
$4.52177$ |
$[0, -1, 0, 1407, 8737]$ |
\(y^2=x^3-x^2+1407x+8737\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 10.24.0-5.a.1.1, 15.96.1.a.3, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.j1 |
1600j2 |
1600.j |
1600j |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{21} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.862927$ |
$-349938025/8$ |
$1.05078$ |
$5.23027$ |
$[0, -1, 0, -8033, -274463]$ |
\(y^2=x^3-x^2-8033x-274463\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.4, 15.96.1.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.j2 |
1600j3 |
1600.j |
1600j |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{23} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$1.118340$ |
$-121945/32$ |
$0.94334$ |
$5.07436$ |
$[0, -1, 0, -4833, 157537]$ |
\(y^2=x^3-x^2-4833x+157537\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 15.96.1.a.4, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.j3 |
1600j1 |
1600.j |
1600j |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{19} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.313621$ |
$-25/2$ |
$1.09044$ |
$3.66906$ |
$[0, -1, 0, -33, -863]$ |
\(y^2=x^3-x^2-33x-863\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.3, 15.96.1.a.2, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.j4 |
1600j4 |
1600.j |
1600j |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{33} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$1.667646$ |
$46969655/32768$ |
$1.06296$ |
$5.83065$ |
$[0, -1, 0, 35167, -1162463]$ |
\(y^2=x^3-x^2+35167x-1162463\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 15.96.1.a.3, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.k1 |
1600p3 |
1600.k |
1600p |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.222 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.949079$ |
$132304644/5$ |
$1.13632$ |
$5.34683$ |
$[0, 0, 0, -10700, 426000]$ |
\(y^2=x^3-10700x+426000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 10.6.0.a.1, 16.48.0-16.i.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.k2 |
1600p2 |
1600.k |
1600p |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.149 |
2Cs |
$40$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.602505$ |
$148176/25$ |
$1.09175$ |
$4.23799$ |
$[0, 0, 0, -700, 6000]$ |
\(y^2=x^3-700x+6000\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.g.1.3, 20.24.0.b.1, 40.192.3-40.bk.1.7 |
$[ ]$ |
$1$ |
| 1600.k3 |
1600p1 |
1600.k |
1600p |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.218 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.255931$ |
$55296/5$ |
$1.01898$ |
$3.72858$ |
$[0, 0, 0, -200, -1000]$ |
\(y^2=x^3-200x-1000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 10.6.0.a.1, 16.48.0-16.i.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 1600.k4 |
1600p4 |
1600.k |
1600p |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{16} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.6 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.949079$ |
$237276/625$ |
$1.04671$ |
$4.66149$ |
$[0, 0, 0, 1300, 34000]$ |
\(y^2=x^3+1300x+34000\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.3, 40.96.1-40.dk.1.3, 80.192.3.? |
$[ ]$ |
$1$ |
| 1600.l1 |
1600u2 |
1600.l |
1600u |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.491033695$ |
$1$ |
|
$5$ |
$640$ |
$0.589693$ |
$1728$ |
|
$4.10117$ |
$[0, 0, 0, -500, 0]$ |
\(y^2=x^3-500x\) |
|
$[(-4, 44)]$ |
$1$ |
| 1600.l2 |
1600u1 |
1600.l |
1600u |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.982067391$ |
$1$ |
|
$1$ |
$320$ |
$0.243119$ |
$1728$ |
|
$3.53746$ |
$[0, 0, 0, 125, 0]$ |
\(y^2=x^3+125x\) |
|
$[(121/2, 1419/2)]$ |
$1$ |
| 1600.m1 |
1600t2 |
1600.m |
1600t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.122024306$ |
$1$ |
|
$5$ |
$128$ |
$-0.215026$ |
$1728$ |
|
$2.79228$ |
$[0, 0, 0, -20, 0]$ |
\(y^2=x^3-20x\) |
|
$[(5, 5)]$ |
$1$ |
| 1600.m2 |
1600t1 |
1600.m |
1600t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.244048612$ |
$1$ |
|
$3$ |
$64$ |
$-0.561600$ |
$1728$ |
|
$2.22858$ |
$[0, 0, 0, 5, 0]$ |
\(y^2=x^3+5x\) |
|
$[(20, 90)]$ |
$1$ |
| 1600.n1 |
1600o3 |
1600.n |
1600o |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.533907$ |
$287496$ |
$1.17246$ |
$4.42178$ |
$[0, 0, 0, -1100, -14000]$ |
\(y^2=x^3-1100x-14000\) |
|
$[ ]$ |
$1$ |
| 1600.n2 |
1600o4 |
1600.n |
1600o |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.533907$ |
$287496$ |
$1.17246$ |
$4.42178$ |
$[0, 0, 0, -1100, 14000]$ |
\(y^2=x^3-1100x+14000\) |
|
$[ ]$ |
$1$ |
| 1600.n3 |
1600o2 |
1600.n |
1600o |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.187333$ |
$1728$ |
|
$3.44673$ |
$[0, 0, 0, -100, 0]$ |
\(y^2=x^3-100x\) |
|
$[ ]$ |
$1$ |
| 1600.n4 |
1600o1 |
1600.n |
1600o |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$128$ |
$-0.159240$ |
$1728$ |
|
$2.88302$ |
$[0, 0, 0, 25, 0]$ |
\(y^2=x^3+25x\) |
|
$[ ]$ |
$1$ |
| 1600.o1 |
1600a3 |
1600.o |
1600a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.218 |
2B |
$80$ |
$192$ |
$3$ |
$6.193893206$ |
$1$ |
|
$1$ |
$1536$ |
$0.949079$ |
$132304644/5$ |
$1.13632$ |
$5.34683$ |
$[0, 0, 0, -10700, -426000]$ |
\(y^2=x^3-10700x-426000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 10.6.0.a.1, 16.48.0-16.i.1.4, $\ldots$ |
$[(4360/3, 280700/3)]$ |
$1$ |
| 1600.o2 |
1600a2 |
1600.o |
1600a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{14} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.149 |
2Cs |
$40$ |
$192$ |
$3$ |
$3.096946603$ |
$1$ |
|
$7$ |
$768$ |
$0.602505$ |
$148176/25$ |
$1.09175$ |
$4.23799$ |
$[0, 0, 0, -700, -6000]$ |
\(y^2=x^3-700x-6000\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.g.1.3, 20.24.0.b.1, 40.192.3-40.bk.1.3 |
$[(-19, 21)]$ |
$1$ |
| 1600.o3 |
1600a1 |
1600.o |
1600a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{10} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.222 |
2B |
$80$ |
$192$ |
$3$ |
$1.548473301$ |
$1$ |
|
$5$ |
$384$ |
$0.255931$ |
$55296/5$ |
$1.01898$ |
$3.72858$ |
$[0, 0, 0, -200, 1000]$ |
\(y^2=x^3-200x+1000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 10.6.0.a.1, 16.48.0-16.i.1.2, $\ldots$ |
$[(6, 4)]$ |
$1$ |
| 1600.o4 |
1600a4 |
1600.o |
1600a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{16} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.6 |
2B |
$80$ |
$192$ |
$3$ |
$1.548473301$ |
$1$ |
|
$3$ |
$1536$ |
$0.949079$ |
$237276/625$ |
$1.04671$ |
$4.66149$ |
$[0, 0, 0, 1300, -34000]$ |
\(y^2=x^3+1300x-34000\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.3, 40.96.1-40.dk.1.3, 80.192.3.? |
$[(110, 1200)]$ |
$1$ |
| 1600.p1 |
1600v2 |
1600.p |
1600v |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{21} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$0.181367514$ |
$1$ |
|
$4$ |
$1152$ |
$0.862927$ |
$-349938025/8$ |
$1.05078$ |
$5.23027$ |
$[0, 1, 0, -8033, 274463]$ |
\(y^2=x^3+x^2-8033x+274463\) |
3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.2, 8.2.0.a.1, 10.24.0-5.a.2.1, $\ldots$ |
$[(23, 320)]$ |
$1$ |
| 1600.p2 |
1600v3 |
1600.p |
1600v |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{23} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$2.720512710$ |
$1$ |
|
$2$ |
$1920$ |
$1.118340$ |
$-121945/32$ |
$0.94334$ |
$5.07436$ |
$[0, 1, 0, -4833, -157537]$ |
\(y^2=x^3+x^2-4833x-157537\) |
3.4.0.a.1, 5.12.0.a.1, 6.8.0-3.a.1.1, 8.2.0.a.1, 10.24.0-5.a.1.2, $\ldots$ |
$[(247, 3712)]$ |
$1$ |
| 1600.p3 |
1600v1 |
1600.p |
1600v |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{19} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$0.544102542$ |
$1$ |
|
$4$ |
$384$ |
$0.313621$ |
$-25/2$ |
$1.09044$ |
$3.66906$ |
$[0, 1, 0, -33, 863]$ |
\(y^2=x^3+x^2-33x+863\) |
3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.1, 8.2.0.a.1, 10.24.0-5.a.2.1, $\ldots$ |
$[(7, 32)]$ |
$1$ |
| 1600.p4 |
1600v4 |
1600.p |
1600v |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{33} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$0.906837570$ |
$1$ |
|
$4$ |
$5760$ |
$1.667646$ |
$46969655/32768$ |
$1.06296$ |
$5.83065$ |
$[0, 1, 0, 35167, 1162463]$ |
\(y^2=x^3+x^2+35167x+1162463\) |
3.4.0.a.1, 5.12.0.a.1, 6.8.0-3.a.1.2, 8.2.0.a.1, 10.24.0-5.a.1.2, $\ldots$ |
$[(2183, 102400)]$ |
$1$ |
| 1600.q1 |
1600c4 |
1600.q |
1600c |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{21} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$6.862779968$ |
$1$ |
|
$0$ |
$5760$ |
$1.667646$ |
$-349938025/8$ |
$1.05078$ |
$6.53916$ |
$[0, 1, 0, -200833, -34709537]$ |
\(y^2=x^3+x^2-200833x-34709537\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 20.24.0-5.a.2.4, $\ldots$ |
$[(10531/3, 986048/3)]$ |
$1$ |
| 1600.q2 |
1600c3 |
1600.q |
1600c |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{19} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$2.287593322$ |
$1$ |
|
$2$ |
$1920$ |
$1.118340$ |
$-25/2$ |
$1.09044$ |
$4.97795$ |
$[0, 1, 0, -833, -109537]$ |
\(y^2=x^3+x^2-833x-109537\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 20.24.0-5.a.2.4, $\ldots$ |
$[(59, 224)]$ |
$1$ |
| 1600.q3 |
1600c1 |
1600.q |
1600c |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{23} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$0.457518664$ |
$1$ |
|
$4$ |
$384$ |
$0.313621$ |
$-121945/32$ |
$0.94334$ |
$3.76548$ |
$[0, 1, 0, -193, 1183]$ |
\(y^2=x^3+x^2-193x+1183\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 20.24.0-5.a.1.4, $\ldots$ |
$[(27, 128)]$ |
$1$ |
| 1600.q4 |
1600c2 |
1600.q |
1600c |
$4$ |
$15$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{33} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1.372555993$ |
$1$ |
|
$0$ |
$1152$ |
$0.862927$ |
$46969655/32768$ |
$1.06296$ |
$4.52177$ |
$[0, 1, 0, 1407, -8737]$ |
\(y^2=x^3+x^2+1407x-8737\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 20.24.0-5.a.1.4, $\ldots$ |
$[(163/3, 4096/3)]$ |
$1$ |
| 1600.r1 |
1600b1 |
1600.r |
1600b |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$0.818145541$ |
$1$ |
|
$4$ |
$192$ |
$-0.142561$ |
$-5000$ |
$0.99499$ |
$3.04023$ |
$[0, 1, 0, -33, -97]$ |
\(y^2=x^3+x^2-33x-97\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[(7, 8)]$ |
$1$ |
| 1600.s1 |
1600i1 |
1600.s |
1600i |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.662158$ |
$-5000$ |
$0.99499$ |
$4.34912$ |
$[0, 1, 0, -833, 10463]$ |
\(y^2=x^3+x^2-833x+10463\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[ ]$ |
$1$ |
| 1600.t1 |
1600e2 |
1600.t |
1600e |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$40$ |
$48$ |
$0$ |
$1.820420117$ |
$1$ |
|
$3$ |
$768$ |
$0.445248$ |
$438976/5$ |
$0.87813$ |
$4.19729$ |
$[0, -1, 0, -633, -5863]$ |
\(y^2=x^3-x^2-633x-5863\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 10.6.0.a.1, 20.12.0.e.1, $\ldots$ |
$[(32, 75)]$ |
$1$ |
| 1600.t2 |
1600e1 |
1600.t |
1600e |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$40$ |
$48$ |
$0$ |
$3.640840235$ |
$1$ |
|
$3$ |
$384$ |
$0.098674$ |
$-64/25$ |
$1.09219$ |
$3.31952$ |
$[0, -1, 0, -8, -238]$ |
\(y^2=x^3-x^2-8x-238\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 20.24.0-20.d.1.2, 40.48.0-40.t.1.8 |
$[(187, 2550)]$ |
$1$ |
