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 |
21.a5 |
21a1 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$1$ |
$-0.618942$ |
$7189057/3969$ |
$1.14862$ |
$5.18573$ |
$[1, 0, 0, -4, -1]$ |
\(y^2+xy=x^3-4x-1\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.w.2.6, 28.48.0-28.c.1.1, $\ldots$ |
$[]$ |
63.a5 |
63a2 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.66 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.069636$ |
$7189057/3969$ |
$1.14862$ |
$5.40165$ |
$[1, -1, 0, -36, 27]$ |
\(y^2+xy=x^3-x^2-36x+27\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.6, 12.24.0-4.b.1.3, 24.96.0-24.w.2.1, $\ldots$ |
$[]$ |
147.a5 |
147a2 |
147.a |
147a |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \) |
\( 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.11 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$48$ |
$0.354013$ |
$7189057/3969$ |
$1.14862$ |
$5.50324$ |
$[1, 1, 1, -197, 146]$ |
\(y^2+xy+y=x^3+x^2-197x+146\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.15, 24.96.0-24.w.2.15, 28.48.0-28.c.1.4, $\ldots$ |
$[]$ |
336.a5 |
336e2 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.32 |
2Cs |
$168$ |
$192$ |
$1$ |
$0.746299208$ |
$1$ |
|
$13$ |
$64$ |
$0.074205$ |
$7189057/3969$ |
$1.14862$ |
$4.14395$ |
$[0, -1, 0, -64, 64]$ |
\(y^2=x^3-x^2-64x+64\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 24.96.0-24.w.2.2, 28.48.0-28.c.1.3, $\ldots$ |
$[(0, 8)]$ |
441.f5 |
441c2 |
441.f |
441c |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.65 |
2Cs |
$168$ |
$192$ |
$1$ |
$2.638508823$ |
$1$ |
|
$6$ |
$384$ |
$0.903319$ |
$7189057/3969$ |
$1.14862$ |
$5.59286$ |
$[1, -1, 0, -1773, -5720]$ |
\(y^2+xy=x^3-x^2-1773x-5720\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.11, 12.24.0-4.b.1.2, 24.96.0-24.w.2.12, $\ldots$ |
$[(-4, 38)]$ |
525.d5 |
525b2 |
525.d |
525b |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$128$ |
$0.185777$ |
$7189057/3969$ |
$1.14862$ |
$4.06244$ |
$[1, 1, 0, -100, -125]$ |
\(y^2+xy=x^3+x^2-100x-125\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.3, 24.48.0.w.2, $\ldots$ |
$[]$ |
1008.l5 |
1008k2 |
1008.l |
1008k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.90 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.623511$ |
$7189057/3969$ |
$1.14862$ |
$4.43880$ |
$[0, 0, 0, -579, -1150]$ |
\(y^2=x^3-579x-1150\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.8, 12.24.0-4.b.1.1, 24.96.0-24.w.2.5, $\ldots$ |
$[]$ |
1344.g5 |
1344a2 |
1344.g |
1344a |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.85 |
2Cs |
$168$ |
$192$ |
$1$ |
$1.950960562$ |
$1$ |
|
$9$ |
$512$ |
$0.420779$ |
$7189057/3969$ |
$1.14862$ |
$3.92380$ |
$[0, -1, 0, -257, -255]$ |
\(y^2=x^3-x^2-257x-255\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 24.96.0-24.w.2.3, 28.24.0.c.1, $\ldots$ |
$[(-8, 35)]$ |
1344.s5 |
1344r2 |
1344.s |
1344r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.94 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.420779$ |
$7189057/3969$ |
$1.14862$ |
$3.92380$ |
$[0, 1, 0, -257, 255]$ |
\(y^2=x^3+x^2-257x+255\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.1, 24.96.0-24.w.2.7, 28.24.0.c.1, $\ldots$ |
$[]$ |
1575.c5 |
1575g2 |
1575.c |
1575g |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 3^{10} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.945149794$ |
$1$ |
|
$12$ |
$1024$ |
$0.735084$ |
$7189057/3969$ |
$1.14862$ |
$4.35158$ |
$[1, -1, 1, -905, 2472]$ |
\(y^2+xy+y=x^3-x^2-905x+2472\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-6, 90)]$ |
2352.v5 |
2352v2 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.9 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.047161$ |
$7189057/3969$ |
$1.14862$ |
$4.60920$ |
$[0, 1, 0, -3152, -15660]$ |
\(y^2=x^3+x^2-3152x-15660\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.13, 24.96.0-24.w.2.11, 28.48.0-28.c.1.2, $\ldots$ |
$[]$ |
2541.j5 |
2541l2 |
2541.j |
2541l |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1280$ |
$0.580006$ |
$7189057/3969$ |
$1.14862$ |
$3.84875$ |
$[1, 0, 1, -487, 845]$ |
\(y^2+xy+y=x^3-487x+845\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
3549.c5 |
3549c2 |
3549.c |
3549c |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$2.671455529$ |
$1$ |
|
$4$ |
$2304$ |
$0.663533$ |
$7189057/3969$ |
$1.14862$ |
$3.81406$ |
$[1, 0, 1, -680, -1519]$ |
\(y^2+xy+y=x^3-680x-1519\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-21, 70)]$ |
3675.n5 |
3675j2 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.931482321$ |
$1$ |
|
$6$ |
$6144$ |
$1.158731$ |
$7189057/3969$ |
$1.14862$ |
$4.52172$ |
$[1, 0, 1, -4926, 28123]$ |
\(y^2+xy+y=x^3-4926x+28123\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$ |
$[(-13, 306)]$ |
4032.h5 |
4032h2 |
4032.h |
4032h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.86 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.970085$ |
$7189057/3969$ |
$1.14862$ |
$4.19854$ |
$[0, 0, 0, -2316, 9200]$ |
\(y^2=x^3-2316x+9200\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.7, 24.96.0-24.w.2.8, 28.24.0.c.1, $\ldots$ |
$[]$ |
4032.k5 |
4032bm2 |
4032.k |
4032bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.95 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.970085$ |
$7189057/3969$ |
$1.14862$ |
$4.19854$ |
$[0, 0, 0, -2316, -9200]$ |
\(y^2=x^3-2316x-9200\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.5, 24.96.0-24.w.2.4, 28.24.0.c.1, $\ldots$ |
$[]$ |
6069.b5 |
6069b2 |
6069.b |
6069b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$4608$ |
$0.797665$ |
$7189057/3969$ |
$1.14862$ |
$3.76392$ |
$[1, 1, 1, -1162, -3754]$ |
\(y^2+xy+y=x^3+x^2-1162x-3754\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
7056.p5 |
7056bx2 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.87 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.596466$ |
$7189057/3969$ |
$1.14862$ |
$4.78162$ |
$[0, 0, 0, -28371, 394450]$ |
\(y^2=x^3-28371x+394450\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.9, 12.24.0-4.b.1.2, 24.96.0-24.w.2.16, $\ldots$ |
$[]$ |
7581.d5 |
7581b2 |
7581.d |
7581b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$6912$ |
$0.853278$ |
$7189057/3969$ |
$1.14862$ |
$3.74490$ |
$[1, 1, 0, -1451, 3960]$ |
\(y^2+xy=x^3+x^2-1451x+3960\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
7623.g5 |
7623p2 |
7623.g |
7623p |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$10240$ |
$1.129313$ |
$7189057/3969$ |
$1.14862$ |
$4.11315$ |
$[1, -1, 1, -4379, -22822]$ |
\(y^2+xy+y=x^3-x^2-4379x-22822\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
8400.bn5 |
8400cd2 |
8400.bn |
8400cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.722395119$ |
$1$ |
|
$15$ |
$8192$ |
$0.878924$ |
$7189057/3969$ |
$1.14862$ |
$3.73644$ |
$[0, 1, 0, -1608, 4788]$ |
\(y^2=x^3+x^2-1608x+4788\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.1, 24.48.0.w.2, $\ldots$ |
$[(78, 600)]$ |
9408.m5 |
9408cd2 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.84 |
2Cs |
$168$ |
$192$ |
$1$ |
$3.435798593$ |
$1$ |
|
$7$ |
$24576$ |
$1.393734$ |
$7189057/3969$ |
$1.14862$ |
$4.36537$ |
$[0, -1, 0, -12609, -112671]$ |
\(y^2=x^3-x^2-12609x-112671\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.16, 24.96.0-24.w.2.14, 28.24.0.c.1, $\ldots$ |
$[(135, 792)]$ |
9408.bv5 |
9408bj2 |
9408.bv |
9408bj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.93 |
2Cs |
$168$ |
$192$ |
$1$ |
$2.188253267$ |
$1$ |
|
$9$ |
$24576$ |
$1.393734$ |
$7189057/3969$ |
$1.14862$ |
$4.36537$ |
$[0, 1, 0, -12609, 112671]$ |
\(y^2=x^3+x^2-12609x+112671\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.14, 24.96.0-24.w.2.10, 28.24.0.c.1, $\ldots$ |
$[(-19, 588)]$ |
10647.d5 |
10647f2 |
10647.d |
10647f |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$2.194483374$ |
$1$ |
|
$8$ |
$18432$ |
$1.212839$ |
$7189057/3969$ |
$1.14862$ |
$4.07304$ |
$[1, -1, 1, -6116, 41006]$ |
\(y^2+xy+y=x^3-x^2-6116x+41006\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(0, 202)]$ |
11025.g5 |
11025ba2 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.800848983$ |
$1$ |
|
$12$ |
$49152$ |
$1.708038$ |
$7189057/3969$ |
$1.14862$ |
$4.69620$ |
$[1, -1, 1, -44330, -759328]$ |
\(y^2+xy+y=x^3-x^2-44330x-759328\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-26, 625)]$ |
11109.d5 |
11109i2 |
11109.d |
11109i |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$12672$ |
$0.948805$ |
$7189057/3969$ |
$1.14862$ |
$3.71435$ |
$[1, 0, 0, -2127, 7920]$ |
\(y^2+xy=x^3-2127x+7920\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
17661.f5 |
17661a2 |
17661.f |
17661a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$4872$ |
$192$ |
$1$ |
$4.513857150$ |
$1$ |
|
$2$ |
$25088$ |
$1.064707$ |
$7189057/3969$ |
$1.14862$ |
$3.68048$ |
$[1, 1, 0, -3381, -17640]$ |
\(y^2+xy=x^3+x^2-3381x-17640\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-49/2, 1239/2)]$ |
17787.s5 |
17787h2 |
17787.s |
17787h |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$6.555445177$ |
$1$ |
|
$4$ |
$61440$ |
$1.552961$ |
$7189057/3969$ |
$1.14862$ |
$4.27651$ |
$[1, 1, 0, -23839, -313760]$ |
\(y^2+xy=x^3+x^2-23839x-313760\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(54060, 12542450)]$ |
18207.e5 |
18207e2 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$4.979093106$ |
$1$ |
|
$2$ |
$36864$ |
$1.346972$ |
$7189057/3969$ |
$1.14862$ |
$4.01435$ |
$[1, -1, 0, -10458, 90895]$ |
\(y^2+xy=x^3-x^2-10458x+90895\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(441/8, 69041/8)]$ |
20181.e5 |
20181d2 |
20181.e |
20181d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 31^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$5208$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$30720$ |
$1.098051$ |
$7189057/3969$ |
$1.14862$ |
$3.67132$ |
$[1, 1, 1, -3864, 18216]$ |
\(y^2+xy+y=x^3+x^2-3864x+18216\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
22743.f5 |
22743n2 |
22743.f |
22743n |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3192$ |
$192$ |
$1$ |
$3.694208115$ |
$1$ |
|
$4$ |
$55296$ |
$1.402584$ |
$7189057/3969$ |
$1.14862$ |
$3.99186$ |
$[1, -1, 1, -13064, -119982]$ |
\(y^2+xy+y=x^3-x^2-13064x-119982\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-28, 486)]$ |
24843.p5 |
24843d2 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.636488$ |
$7189057/3969$ |
$1.14862$ |
$4.23437$ |
$[1, 1, 0, -33296, 487635]$ |
\(y^2+xy=x^3+x^2-33296x+487635\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
25200.cr5 |
25200dx2 |
25200.cr |
25200dx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.428017124$ |
$1$ |
|
$13$ |
$65536$ |
$1.428230$ |
$7189057/3969$ |
$1.14862$ |
$3.98182$ |
$[0, 0, 0, -14475, -143750]$ |
\(y^2=x^3-14475x-143750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-91, 648)]$ |
28224.es5 |
28224fw2 |
28224.es |
28224fw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.92 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.943041$ |
$7189057/3969$ |
$1.14862$ |
$4.54061$ |
$[0, 0, 0, -113484, 3155600]$ |
\(y^2=x^3-113484x+3155600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.12, 24.96.0-24.w.2.9, 28.24.0.c.1, $\ldots$ |
$[]$ |
28224.fk5 |
28224bz2 |
28224.fk |
28224bz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.83 |
2Cs |
$168$ |
$192$ |
$1$ |
$5.948500660$ |
$1$ |
|
$3$ |
$196608$ |
$1.943041$ |
$7189057/3969$ |
$1.14862$ |
$4.54061$ |
$[0, 0, 0, -113484, -3155600]$ |
\(y^2=x^3-113484x-3155600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.10, 24.96.0-24.w.2.13, 28.24.0.c.1, $\ldots$ |
$[(5677/3, 358435/3)]$ |
28749.h5 |
28749e2 |
28749.h |
28749e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 37^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$6216$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$50688$ |
$1.186518$ |
$7189057/3969$ |
$1.14862$ |
$3.64819$ |
$[1, 0, 1, -5505, -34169]$ |
\(y^2+xy+y=x^3-5505x-34169\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
33327.k5 |
33327m2 |
33327.k |
33327m |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$101376$ |
$1.498112$ |
$7189057/3969$ |
$1.14862$ |
$3.95547$ |
$[1, -1, 0, -19143, -213840]$ |
\(y^2+xy=x^3-x^2-19143x-213840\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
33600.ce5 |
33600em2 |
33600.ce |
33600em |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$65536$ |
$1.225498$ |
$7189057/3969$ |
$1.14862$ |
$3.63849$ |
$[0, -1, 0, -6433, 44737]$ |
\(y^2=x^3-x^2-6433x+44737\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
33600.fm5 |
33600dd2 |
33600.fm |
33600dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.500968584$ |
$1$ |
|
$11$ |
$65536$ |
$1.225498$ |
$7189057/3969$ |
$1.14862$ |
$3.63849$ |
$[0, 1, 0, -6433, -44737]$ |
\(y^2=x^3+x^2-6433x-44737\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(98, 525)]$ |
35301.c5 |
35301e2 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$6888$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$70400$ |
$1.237844$ |
$7189057/3969$ |
$1.14862$ |
$3.63548$ |
$[1, 1, 1, -6759, -48684]$ |
\(y^2+xy+y=x^3+x^2-6759x-48684\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
38829.h5 |
38829f2 |
38829.h |
38829f |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 43^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$7224$ |
$192$ |
$1$ |
$11.34344491$ |
$1$ |
|
$2$ |
$80640$ |
$1.261658$ |
$7189057/3969$ |
$1.14862$ |
$3.62975$ |
$[1, 1, 0, -7434, 49815]$ |
\(y^2+xy=x^3+x^2-7434x+49815\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(34065/88, 87934995/88)]$ |
40656.l5 |
40656bk2 |
40656.l |
40656bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1.948444921$ |
$1$ |
|
$9$ |
$81920$ |
$1.273153$ |
$7189057/3969$ |
$1.14862$ |
$3.62702$ |
$[0, -1, 0, -7784, -54096]$ |
\(y^2=x^3-x^2-7784x-54096\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-70, 378)]$ |
42483.d5 |
42483v2 |
42483.d |
42483v |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$2.158886372$ |
$1$ |
|
$8$ |
$221184$ |
$1.770620$ |
$7189057/3969$ |
$1.14862$ |
$4.17222$ |
$[1, 0, 0, -56939, 1116744]$ |
\(y^2+xy=x^3-56939x+1116744\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(277, 2434)]$ |
46389.d5 |
46389k2 |
46389.d |
46389k |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 47^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$7896$ |
$192$ |
$1$ |
$3.915004228$ |
$1$ |
|
$4$ |
$105984$ |
$1.306131$ |
$7189057/3969$ |
$1.14862$ |
$3.61932$ |
$[1, 0, 0, -8882, 68355]$ |
\(y^2+xy=x^3-8882x+68355\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(265, 3910)]$ |
52983.e5 |
52983a2 |
52983.e |
52983a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 29^{2} \) |
\( 3^{10} \cdot 7^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$200704$ |
$1.614012$ |
$7189057/3969$ |
$1.14862$ |
$3.91474$ |
$[1, -1, 1, -30434, 445848]$ |
\(y^2+xy+y=x^3-x^2-30434x+445848\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
53067.r5 |
53067q2 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$331776$ |
$1.826233$ |
$7189057/3969$ |
$1.14862$ |
$4.14826$ |
$[1, 0, 1, -71125, -1571629]$ |
\(y^2+xy+y=x^3-71125x-1571629\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
53361.p5 |
53361bo2 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$491520$ |
$2.102268$ |
$7189057/3969$ |
$1.14862$ |
$4.45046$ |
$[1, -1, 1, -214556, 8256966]$ |
\(y^2+xy+y=x^3-x^2-214556x+8256966\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
56784.bh5 |
56784bk2 |
56784.bh |
56784bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.356680$ |
$7189057/3969$ |
$1.14862$ |
$3.60788$ |
$[0, -1, 0, -10872, 97200]$ |
\(y^2=x^3-x^2-10872x+97200\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
58800.m5 |
58800gb2 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.595662697$ |
$1$ |
|
$13$ |
$393216$ |
$1.851879$ |
$7189057/3969$ |
$1.14862$ |
$4.13753$ |
$[0, -1, 0, -78808, -1799888]$ |
\(y^2=x^3-x^2-78808x-1799888\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.2, 24.48.0.w.2, $\ldots$ |
$[(418, 6174)]$ |
58989.n5 |
58989a2 |
58989.n |
58989a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 53^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$8904$ |
$192$ |
$1$ |
$12.39907719$ |
$1$ |
|
$2$ |
$149760$ |
$1.366203$ |
$7189057/3969$ |
$1.14862$ |
$3.60578$ |
$[1, 1, 0, -11294, -103785]$ |
\(y^2+xy=x^3+x^2-11294x-103785\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-216665/74, 223621995/74)]$ |