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 |
15.a5 |
15a1 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{4} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.3 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$1$ |
$-0.402277$ |
$111284641/50625$ |
$1.02534$ |
$6.84168$ |
$[1, 1, 1, -10, -10]$ |
\(y^2+xy+y=x^3+x^2-10x-10\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.9, 24.192.1-24.n.1.1, 40.192.1-40.s.1.5, $\ldots$ |
$[]$ |
15.a6 |
15a3 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{2} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.7 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.748851$ |
$13997521/225$ |
$0.96230$ |
$6.07610$ |
$[1, 1, 1, -5, 2]$ |
\(y^2+xy+y=x^3+x^2-5x+2\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.2.3, 24.96.0-24.bb.2.5, $\ldots$ |
$[]$ |
15.a8 |
15a4 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.99 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.055704$ |
$4733169839/3515625$ |
$1.05585$ |
$8.22653$ |
$[1, 1, 1, 35, -28]$ |
\(y^2+xy+y=x^3+x^2+35x-28\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 24.192.1-24.cv.2.2, 80.192.1.?, $\ldots$ |
$[]$ |
21.a3 |
21a3 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{8} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.272368$ |
$6570725617/45927$ |
$1.00160$ |
$7.42510$ |
$[1, 0, 0, -39, 90]$ |
\(y^2+xy=x^3-39x+90\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.3, $\ldots$ |
$[]$ |
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, $\ldots$ |
$[]$ |
24.a4 |
24a1 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.42 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$1$ |
$-0.645352$ |
$35152/9$ |
$0.97255$ |
$5.03850$ |
$[0, -1, 0, -4, 4]$ |
\(y^2=x^3-x^2-4x+4\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7 |
$[]$ |
42.a4 |
42a2 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.37 |
2Cs |
$56$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$8$ |
$-0.157472$ |
$65597103937/63504$ |
$1.01692$ |
$6.66372$ |
$[1, 1, 1, -84, 261]$ |
\(y^2+xy+y=x^3+x^2-84x+261\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 28.48.0-28.c.1.1, 56.192.1-56.by.1.7 |
$[]$ |
42.a5 |
42a1 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.98 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$4$ |
$-0.504046$ |
$-7189057/16128$ |
$0.98224$ |
$4.64796$ |
$[1, 1, 1, -4, 5]$ |
\(y^2+xy+y=x^3+x^2-4x+5\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.z.1.2, $\ldots$ |
$[]$ |
48.a3 |
48a3 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.34 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$4$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$5.47353$ |
$[0, 1, 0, -24, 36]$ |
\(y^2=x^3+x^2-24x+36\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.2.1, 24.192.1-24.bl.2.2 |
$[]$ |
48.a6 |
48a6 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( - 2^{11} \cdot 3^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.155 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$8$ |
$0.047795$ |
$207646/6561$ |
$1.15980$ |
$6.16081$ |
$[0, 1, 0, 16, 180]$ |
\(y^2=x^3+x^2+16x+180\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.m.1.4, 48.192.1-48.w.2.2 |
$[]$ |
102.c4 |
102b2 |
102.c |
102b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.38 |
2Cs |
$136$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$32$ |
$0.153931$ |
$163936758817/30338064$ |
$1.07571$ |
$5.58333$ |
$[1, 0, 0, -114, -396]$ |
\(y^2+xy=x^3-114x-396\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.2.2, 68.48.0-68.c.1.1, 136.192.1.? |
$[]$ |
102.c5 |
102b1 |
102.c |
102b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \) |
\( 2^{8} \cdot 3^{4} \cdot 17 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.97 |
2B |
$272$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$16$ |
$-0.192642$ |
$4354703137/352512$ |
$1.05192$ |
$4.79884$ |
$[1, 0, 0, -34, 68]$ |
\(y^2+xy=x^3-34x+68\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.bb.1.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
120.b4 |
120a2 |
120.b |
120a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.26 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$16$ |
$-0.213148$ |
$3631696/2025$ |
$1.02576$ |
$4.31340$ |
$[0, 1, 0, -20, 0]$ |
\(y^2=x^3+x^2-20x\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 20.48.0-20.c.1.1, 24.96.0-24.p.2.3, $\ldots$ |
$[]$ |
195.a4 |
195a3 |
195.a |
195a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.48.0.3 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$96$ |
$0.496270$ |
$15551989015681/1445900625$ |
$0.97384$ |
$5.76052$ |
$[1, 0, 0, -520, -4225]$ |
\(y^2+xy=x^3-520x-4225\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.1, 40.96.0-40.b.2.9, 104.96.0.?, $\ldots$ |
$[]$ |
195.a5 |
195a2 |
195.a |
195a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13 \) |
\( 3^{8} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.28 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$48$ |
$0.149696$ |
$168288035761/27720225$ |
$1.01793$ |
$4.90213$ |
$[1, 0, 0, -115, 392]$ |
\(y^2+xy=x^3-115x+392\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 40.96.0-40.bc.2.5, 48.96.0-48.d.1.6, $\ldots$ |
$[]$ |
210.c5 |
210c2 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.25 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$64$ |
$0.043610$ |
$37966934881/8643600$ |
$0.95916$ |
$4.55573$ |
$[1, 1, 1, -70, -205]$ |
\(y^2+xy+y=x^3+x^2-70x-205\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 56.96.0-56.r.1.6, 60.48.0-60.c.1.7, $\ldots$ |
$[]$ |
210.e4 |
210e4 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.95 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$1.101282$ |
$378499465220294881/120530818800$ |
$1.03580$ |
$7.56951$ |
$[1, 0, 0, -15070, 710612]$ |
\(y^2+xy=x^3-15070x+710612\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.v.1.2, 28.24.0-28.h.1.2, $\ldots$ |
$[]$ |
210.e5 |
210e3 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.2 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$1.101282$ |
$47595748626367201/1215506250000$ |
$1.02882$ |
$7.18174$ |
$[1, 0, 0, -7550, -247500]$ |
\(y^2+xy=x^3-7550x-247500\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.c.1.1, 24.192.1-24.w.2.5, 56.192.1-56.x.1.1, $\ldots$ |
$[]$ |
210.e7 |
210e1 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.95 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$128$ |
$0.408135$ |
$1023887723039/928972800$ |
$0.99981$ |
$5.17189$ |
$[1, 0, 0, 210, 900]$ |
\(y^2+xy=x^3+210x+900\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.v.1.2, $\ldots$ |
$[]$ |
231.a3 |
231a2 |
231.a |
231a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$40$ |
$-0.070357$ |
$6570725617/2614689$ |
$0.92677$ |
$4.15365$ |
$[1, 1, 1, -39, 36]$ |
\(y^2+xy+y=x^3+x^2-39x+36\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 88.48.0.?, $\ldots$ |
$[]$ |
240.c2 |
240a3 |
240.c |
240a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.27 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$64$ |
$0.133425$ |
$868327204/5625$ |
$1.10029$ |
$5.02014$ |
$[0, -1, 0, -200, 1152]$ |
\(y^2=x^3-x^2-200x+1152\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 24.96.0-24.k.1.2, 40.96.0-40.v.1.7, $\ldots$ |
$[]$ |
240.d2 |
240d5 |
240.d |
240d |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.41 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$128$ |
$0.637444$ |
$272223782641/164025$ |
$1.03897$ |
$6.32183$ |
$[0, 1, 0, -2160, 37908]$ |
\(y^2=x^3+x^2-2160x+37908\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.1.2, 20.48.0-20.c.1.1, 40.192.1-40.cc.2.1, $\ldots$ |
$[]$ |
240.d5 |
240d4 |
240.d |
240d |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.1 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$64$ |
$0.290870$ |
$111284641/50625$ |
$1.02534$ |
$4.89822$ |
$[0, 1, 0, -160, 308]$ |
\(y^2=x^3+x^2-160x+308\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.2, 24.192.1-24.n.1.6, 40.192.1-40.s.1.2, $\ldots$ |
$[]$ |
330.d5 |
330c2 |
330.d |
330c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$384$ |
$0.768613$ |
$119102750067601/68309049600$ |
$1.06441$ |
$5.58898$ |
$[1, 1, 1, -1025, 767]$ |
\(y^2+xy+y=x^3+x^2-1025x+767\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 40.48.0-40.i.1.9, 60.48.0-60.c.1.7, $\ldots$ |
$[]$ |
330.e4 |
330b2 |
330.e |
330b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$64$ |
$0.006941$ |
$46694890801/3920400$ |
$0.93791$ |
$4.23634$ |
$[1, 0, 0, -75, 225]$ |
\(y^2+xy=x^3-75x+225\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.i.2.1, 88.48.0.?, $\ldots$ |
$[]$ |
336.a2 |
336e4 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$168$ |
$192$ |
$1$ |
$1.492598417$ |
$1$ |
|
$19$ |
$128$ |
$0.420779$ |
$13027640977/21609$ |
$1.08149$ |
$5.43364$ |
$[0, -1, 0, -784, 8704]$ |
\(y^2=x^3-x^2-784x+8704\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 12.48.0-12.c.1.1, 24.96.0-24.j.2.3, $\ldots$ |
$[(18, 10)]$ |
336.d2 |
336d5 |
336.d |
336d |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.157 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$768$ |
$1.228823$ |
$84448510979617/933897762$ |
$1.05309$ |
$6.94244$ |
$[0, 1, 0, -14624, 669300]$ |
\(y^2=x^3+x^2-14624x+669300\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 112.192.1.? |
$[]$ |
336.d3 |
336d4 |
336.d |
336d |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.33 |
2Cs |
$56$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$384$ |
$0.882248$ |
$124475734657/63011844$ |
$1.06499$ |
$5.82164$ |
$[0, 1, 0, -1664, -9804]$ |
\(y^2=x^3+x^2-1664x-9804\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.f.1.5, 56.192.1-56.bp.2.3 |
$[]$ |
390.f5 |
390b2 |
390.f |
390b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$128$ |
$0.070926$ |
$30400540561/15210000$ |
$0.96238$ |
$4.04578$ |
$[1, 1, 1, -65, 47]$ |
\(y^2+xy+y=x^3+x^2-65x+47\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 104.48.0.?, $\ldots$ |
$[]$ |
429.b4 |
429b2 |
429.b |
429b |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13 \) |
\( 3^{4} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$3432$ |
$192$ |
$1$ |
$2.115453196$ |
$1$ |
|
$12$ |
$128$ |
$0.194522$ |
$8732907467857/1656369$ |
$0.94339$ |
$4.91600$ |
$[1, 0, 0, -429, 3384]$ |
\(y^2+xy=x^3-429x+3384\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.m.1.6, 88.48.0.?, 104.48.0.?, $\ldots$ |
$[(24, 72)]$ |
510.e4 |
510e3 |
510.e |
510e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.7 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$0.793592$ |
$330240275458561/67652010000$ |
$1.06774$ |
$5.36231$ |
$[1, 1, 1, -1440, 16305]$ |
\(y^2+xy+y=x^3+x^2-1440x+16305\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.11, 120.192.1.?, 136.192.1.?, $\ldots$ |
$[]$ |
510.e5 |
510e2 |
510.e |
510e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.8 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$256$ |
$0.447019$ |
$278202094583041/16646400$ |
$0.97964$ |
$5.33481$ |
$[1, 1, 1, -1360, 18737]$ |
\(y^2+xy+y=x^3+x^2-1360x+18737\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.1.10, 120.96.0.?, $\ldots$ |
$[]$ |
609.a4 |
609b2 |
609.a |
609b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29 \) |
\( 3^{6} \cdot 7^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$4872$ |
$192$ |
$1$ |
$3.513460239$ |
$1$ |
|
$10$ |
$768$ |
$0.944088$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$6.23577$ |
$[1, 1, 1, -12789, 551346]$ |
\(y^2+xy+y=x^3+x^2-12789x+551346\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.2.9, 56.48.0-56.m.1.10, 168.96.0.?, $\ldots$ |
$[(-104, 929)]$ |
663.a3 |
663b2 |
663.a |
663b |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.27 |
2Cs |
$1768$ |
$192$ |
$1$ |
$2.975812071$ |
$1$ |
|
$10$ |
$256$ |
$0.462009$ |
$17806161424897/668584449$ |
$0.93643$ |
$4.69626$ |
$[1, 1, 1, -544, 4496]$ |
\(y^2+xy+y=x^3+x^2-544x+4496\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 68.48.0-68.c.1.1, 104.96.0.?, $\ldots$ |
$[(79, 640)]$ |
690.k4 |
690k2 |
690.k |
690k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$552$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$768$ |
$0.806443$ |
$36330796409313601/428490000$ |
$0.99526$ |
$5.83345$ |
$[1, 0, 0, -6900, 220032]$ |
\(y^2+xy=x^3-6900x+220032\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.r.2.5, 92.48.0.?, $\ldots$ |
$[]$ |
690.k5 |
690k1 |
690.k |
690k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 23 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$384$ |
$0.459870$ |
$-8194759433281/965779200$ |
$0.95262$ |
$4.57722$ |
$[1, 0, 0, -420, 3600]$ |
\(y^2+xy=x^3-420x+3600\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 46.6.0.a.1, 48.96.0-48.bp.1.7, $\ldots$ |
$[]$ |
714.f4 |
714g2 |
714.f |
714g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.37 |
2Cs |
$136$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$7680$ |
$1.885983$ |
$82582985847542515777/44772582831427584$ |
$1.09721$ |
$6.97933$ |
$[1, 1, 1, -90724, 2605541]$ |
\(y^2+xy+y=x^3+x^2-90724x+2605541\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.i.1.2, 68.48.0-68.c.1.1, 136.192.1.? |
$[]$ |
714.f5 |
714g1 |
714.f |
714g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{24} \cdot 3^{4} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.98 |
2B |
$272$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$3840$ |
$1.539408$ |
$38331145780597164097/55468445663232$ |
$1.02142$ |
$6.86252$ |
$[1, 1, 1, -70244, 7127525]$ |
\(y^2+xy+y=x^3+x^2-70244x+7127525\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 34.6.0.a.1, $\ldots$ |
$[]$ |
759.b5 |
759b2 |
759.b |
759b |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 23 \) |
\( 3^{4} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$6072$ |
$192$ |
$1$ |
$2.983073350$ |
$1$ |
|
$10$ |
$256$ |
$0.421960$ |
$5786435182177/627352209$ |
$0.98731$ |
$4.43102$ |
$[1, 0, 0, -374, -2541]$ |
\(y^2+xy=x^3-374x-2541\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.2.1, 88.48.0.?, 92.48.0.?, $\ldots$ |
$[(34, 139)]$ |
816.b2 |
816h3 |
816.b |
816h |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 17 \) |
\( 2^{14} \cdot 3^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.35 |
2Cs |
$136$ |
$192$ |
$1$ |
$3.826981769$ |
$1$ |
|
$11$ |
$1536$ |
$1.193651$ |
$576615941610337/27060804$ |
$1.03156$ |
$6.31017$ |
$[0, -1, 0, -27744, 1787904]$ |
\(y^2=x^3-x^2-27744x+1787904\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.1.5, 136.192.1.? |
$[(146, 910)]$ |
840.d3 |
840f2 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.098298981$ |
$1$ |
|
$21$ |
$256$ |
$0.239768$ |
$2533446736/275625$ |
$0.90007$ |
$4.03927$ |
$[0, -1, 0, -180, 900]$ |
\(y^2=x^3-x^2-180x+900\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 40.48.0-40.l.1.10, 56.48.0-56.h.1.9, $\ldots$ |
$[(5, 10)]$ |
840.f3 |
840g2 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$512$ |
$0.524602$ |
$175293437776/4862025$ |
$0.94022$ |
$4.66850$ |
$[0, -1, 0, -740, 7812]$ |
\(y^2=x^3-x^2-740x+7812\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 20.48.0-20.c.1.1, 40.96.0-40.k.2.13, $\ldots$ |
$[]$ |
840.j4 |
840j2 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$256$ |
$0.288763$ |
$32082281296/99225$ |
$0.92349$ |
$4.41630$ |
$[0, 1, 0, -420, 3168]$ |
\(y^2=x^3+x^2-420x+3168\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.h.2.9, 56.48.0-56.h.2.1, $\ldots$ |
$[]$ |
930.o4 |
930o4 |
930.o |
930o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 31 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$2048$ |
$1.035252$ |
$5601911201812801/1271193750000$ |
$0.98526$ |
$5.30518$ |
$[1, 0, 0, -3700, 67232]$ |
\(y^2+xy=x^3-3700x+67232\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 124.24.0.?, 240.96.0.?, $\ldots$ |
$[]$ |
930.o5 |
930o2 |
930.o |
930o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$1024$ |
$0.688679$ |
$200828550012481/12454560000$ |
$0.96232$ |
$4.81823$ |
$[1, 0, 0, -1220, -15600]$ |
\(y^2+xy=x^3-1220x-15600\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 120.96.0.?, 124.48.0.?, $\ldots$ |
$[]$ |
966.g2 |
966g4 |
966.g |
966g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$2576$ |
$192$ |
$1$ |
$2.429046614$ |
$1$ |
|
$12$ |
$2048$ |
$1.069401$ |
$614716917569296417/19093020912$ |
$0.99887$ |
$5.95940$ |
$[1, 1, 1, -17714, 900047]$ |
\(y^2+xy+y=x^3+x^2-17714x+900047\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 92.24.0.?, 112.96.0.?, $\ldots$ |
$[(79, -1)]$ |
966.g4 |
966g2 |
966.g |
966g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$1288$ |
$192$ |
$1$ |
$1.214523307$ |
$1$ |
|
$18$ |
$1024$ |
$0.722827$ |
$169967019783457/26337394944$ |
$0.96308$ |
$4.76733$ |
$[1, 1, 1, -1154, 12431]$ |
\(y^2+xy+y=x^3+x^2-1154x+12431\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 56.96.0-56.v.2.6, 92.48.0.?, $\ldots$ |
$[(7, 65)]$ |
1110.k4 |
1110k2 |
1110.k |
1110k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$4440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$3456$ |
$1.260246$ |
$1072487167529950801/2554882560000$ |
$1.07073$ |
$5.92068$ |
$[1, 1, 1, -21325, 1187267]$ |
\(y^2+xy+y=x^3+x^2-21325x+1187267\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 120.96.0.?, $\ldots$ |
$[]$ |
1122.e4 |
1122e2 |
1122.e |
1122e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.27 |
2Cs |
$4488$ |
$192$ |
$1$ |
$1.893763184$ |
$1$ |
|
$16$ |
$1024$ |
$0.744782$ |
$423108074414017/23284318464$ |
$0.96119$ |
$4.79557$ |
$[1, 1, 1, -1564, -23299]$ |
\(y^2+xy+y=x^3+x^2-1564x-23299\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.1.10, 132.48.0.?, 136.96.0.?, $\ldots$ |
$[(47, 75)]$ |
1155.e3 |
1155e2 |
1155.e |
1155e |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1.700180605$ |
$1$ |
|
$14$ |
$512$ |
$0.320720$ |
$2177286259681/161417025$ |
$0.90617$ |
$4.02860$ |
$[1, 1, 1, -270, 1482]$ |
\(y^2+xy+y=x^3+x^2-270x+1482\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 56.48.0-56.i.1.9, 88.48.0.?, 120.48.0.?, $\ldots$ |
$[(12, 6)]$ |