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.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.?, $\ldots$ |
$[]$ |
45.a8 |
45a6 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.172 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.493602$ |
$4733169839/3515625$ |
$1.05585$ |
$7.58395$ |
$[1, -1, 0, 315, 1066]$ |
\(y^2+xy=x^3-x^2+315x+1066\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.1, $\ldots$ |
$[]$ |
75.b8 |
75b6 |
75.b |
75b |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \) |
\( - 3^{2} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.197 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.749015$ |
$4733169839/3515625$ |
$1.05585$ |
$7.39654$ |
$[1, 0, 1, 874, -5227]$ |
\(y^2+xy+y=x^3+874x-5227\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.2, 20.24.0-4.d.1.1, $\ldots$ |
$[]$ |
225.b8 |
225c6 |
225.b |
225c |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \) |
\( - 3^{8} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.195 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$1.298321$ |
$4733169839/3515625$ |
$1.05585$ |
$7.11327$ |
$[1, -1, 1, 7870, 141122]$ |
\(y^2+xy+y=x^3-x^2+7870x+141122\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.4, 24.96.1.cv.2, $\ldots$ |
$[]$ |
240.d8 |
240d6 |
240.d |
240d |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.101 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.637444$ |
$4733169839/3515625$ |
$1.05585$ |
$5.58249$ |
$[0, 1, 0, 560, 2900]$ |
\(y^2=x^3+x^2+560x+2900\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.2, 24.192.1-24.cv.2.5, 80.192.1.?, $\ldots$ |
$[]$ |
720.c8 |
720h6 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.172 |
2B |
$480$ |
$768$ |
$13$ |
$2.600625687$ |
$1$ |
|
$5$ |
$1024$ |
$1.186749$ |
$4733169839/3515625$ |
$1.05585$ |
$5.65221$ |
$[0, 0, 0, 5037, -73262]$ |
\(y^2=x^3+5037x-73262\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.6, $\ldots$ |
$[(23, 234)]$ |
735.c8 |
735e6 |
735.c |
735e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$1.378356153$ |
$1$ |
|
$4$ |
$768$ |
$0.917251$ |
$4733169839/3515625$ |
$1.05585$ |
$5.14454$ |
$[1, 0, 0, 1714, 14685]$ |
\(y^2+xy=x^3+1714x+14685\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 28.24.0-4.d.1.1, $\ldots$ |
$[(4, 145)]$ |
960.a8 |
960i6 |
960.a |
960i |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.175 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.984016$ |
$4733169839/3515625$ |
$1.05585$ |
$5.06114$ |
$[0, -1, 0, 2239, 20961]$ |
\(y^2=x^3-x^2+2239x+20961\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.6, 12.24.0-4.d.1.2, 24.192.1-24.cv.2.4, $\ldots$ |
$[]$ |
960.l8 |
960g6 |
960.l |
960g |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.176 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.984016$ |
$4733169839/3515625$ |
$1.05585$ |
$5.06114$ |
$[0, 1, 0, 2239, -20961]$ |
\(y^2=x^3+x^2+2239x-20961\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.1, 12.24.0-4.d.1.2, 24.192.1-24.cv.2.7, $\ldots$ |
$[]$ |
1200.e8 |
1200j6 |
1200.e |
1200j |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.199 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.442162$ |
$4733169839/3515625$ |
$1.05585$ |
$5.67727$ |
$[0, -1, 0, 13992, 334512]$ |
\(y^2=x^3-x^2+13992x+334512\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.5, 20.24.0-4.d.1.1, $\ldots$ |
$[]$ |
1815.d8 |
1815a6 |
1815.d |
1815a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$5280$ |
$768$ |
$13$ |
$0.833036978$ |
$1$ |
|
$6$ |
$2560$ |
$1.143244$ |
$4733169839/3515625$ |
$1.05585$ |
$4.88620$ |
$[1, 1, 0, 4233, 58194]$ |
\(y^2+xy=x^3+x^2+4233x+58194\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 44.24.0-4.d.1.1, $\ldots$ |
$[(18, 366)]$ |
2205.i8 |
2205j6 |
2205.i |
2205j |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.466557$ |
$4733169839/3515625$ |
$1.05585$ |
$5.26662$ |
$[1, -1, 0, 15426, -396495]$ |
\(y^2+xy=x^3-x^2+15426x-396495\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 56.96.0-8.n.2.5, $\ldots$ |
$[]$ |
2535.j8 |
2535a6 |
2535.j |
2535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$2.056640051$ |
$1$ |
|
$2$ |
$4608$ |
$1.226770$ |
$4733169839/3515625$ |
$1.05585$ |
$4.80579$ |
$[1, 1, 0, 5912, -90683]$ |
\(y^2+xy=x^3+x^2+5912x-90683\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 52.24.0-4.d.1.1, $\ldots$ |
$[(44, 485)]$ |
2880.y8 |
2880r6 |
2880.y |
2880r |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{8} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.97 |
2B |
$480$ |
$768$ |
$13$ |
$0.662274544$ |
$1$ |
|
$9$ |
$8192$ |
$1.533323$ |
$4733169839/3515625$ |
$1.05585$ |
$5.19063$ |
$[0, 0, 0, 20148, 586096]$ |
\(y^2=x^3+20148x+586096\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 8.96.0-8.n.2.3, 24.192.1-24.cv.2.8, 80.192.1.?, $\ldots$ |
$[(62, 1440)]$ |
2880.bc8 |
2880bd6 |
2880.bc |
2880bd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.97 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.533323$ |
$4733169839/3515625$ |
$1.05585$ |
$5.19063$ |
$[0, 0, 0, 20148, -586096]$ |
\(y^2=x^3+20148x-586096\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 8.96.0-8.n.2.3, 24.192.1-24.cv.2.3, 80.192.1.?, $\ldots$ |
$[]$ |
3600.u8 |
3600bf6 |
3600.u |
3600bf |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.195 |
2B |
$480$ |
$768$ |
$13$ |
$4.801950709$ |
$1$ |
|
$3$ |
$24576$ |
$1.991468$ |
$4733169839/3515625$ |
$1.05585$ |
$5.72056$ |
$[0, 0, 0, 125925, -9157750]$ |
\(y^2=x^3+125925x-9157750\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.4, 24.96.1.cv.2, $\ldots$ |
$[(511, 13734)]$ |
3675.j8 |
3675e6 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.721970$ |
$4733169839/3515625$ |
$1.05585$ |
$5.31226$ |
$[1, 1, 0, 42850, 1835625]$ |
\(y^2+xy=x^3+x^2+42850x+1835625\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
4335.c8 |
4335d6 |
4335.c |
4335d |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$1.360903$ |
$4733169839/3515625$ |
$1.05585$ |
$4.69010$ |
$[1, 0, 0, 10109, -207454]$ |
\(y^2+xy=x^3+10109x-207454\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 68.24.0-4.d.1.1, $\ldots$ |
$[]$ |
4800.t8 |
4800b6 |
4800.t |
4800b |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.200 |
2B |
$480$ |
$768$ |
$13$ |
$1.857452901$ |
$1$ |
|
$7$ |
$24576$ |
$1.788736$ |
$4733169839/3515625$ |
$1.05585$ |
$5.23940$ |
$[0, -1, 0, 55967, -2732063]$ |
\(y^2=x^3-x^2+55967x-2732063\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.6, 24.96.1.cv.2, $\ldots$ |
$[(57, 800)]$ |
4800.bz8 |
4800cd6 |
4800.bz |
4800cd |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.198 |
2B |
$480$ |
$768$ |
$13$ |
$4.297783744$ |
$1$ |
|
$3$ |
$24576$ |
$1.788736$ |
$4733169839/3515625$ |
$1.05585$ |
$5.23940$ |
$[0, 1, 0, 55967, 2732063]$ |
\(y^2=x^3+x^2+55967x+2732063\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.1, 24.96.1.cv.2, $\ldots$ |
$[(-31, 984)]$ |
5415.j8 |
5415k6 |
5415.j |
5415k |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 19^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$9120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$1.416515$ |
$4733169839/3515625$ |
$1.05585$ |
$4.64637$ |
$[1, 0, 1, 12627, 291853]$ |
\(y^2+xy+y=x^3+12627x+291853\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 76.24.0.?, $\ldots$ |
$[]$ |
5445.c8 |
5445g6 |
5445.c |
5445g |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$5280$ |
$768$ |
$13$ |
$4.676439788$ |
$1$ |
|
$0$ |
$20480$ |
$1.692551$ |
$4733169839/3515625$ |
$1.05585$ |
$5.02844$ |
$[1, -1, 1, 38092, -1533144]$ |
\(y^2+xy+y=x^3-x^2+38092x-1533144\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(639/2, 22831/2)]$ |
7605.g8 |
7605q6 |
7605.g |
7605q |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$0.633804662$ |
$1$ |
|
$8$ |
$36864$ |
$1.776077$ |
$4733169839/3515625$ |
$1.05585$ |
$4.95260$ |
$[1, -1, 1, 53203, 2501646]$ |
\(y^2+xy+y=x^3-x^2+53203x+2501646\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(36, 2094)]$ |
7935.d8 |
7935b6 |
7935.d |
7935b |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$25344$ |
$1.512043$ |
$4733169839/3515625$ |
$1.05585$ |
$4.57631$ |
$[1, 1, 1, 18504, 523554]$ |
\(y^2+xy+y=x^3+x^2+18504x+523554\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
9075.g8 |
9075l6 |
9075.g |
9075l |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$5280$ |
$768$ |
$13$ |
$3.775127587$ |
$1$ |
|
$2$ |
$61440$ |
$1.947962$ |
$4733169839/3515625$ |
$1.05585$ |
$5.08290$ |
$[1, 0, 0, 105812, 7062617]$ |
\(y^2+xy=x^3+105812x+7062617\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(208, 6067)]$ |
11025.p8 |
11025z6 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{8} \cdot 5^{14} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$5.235832845$ |
$1$ |
|
$0$ |
$147456$ |
$2.271275$ |
$4733169839/3515625$ |
$1.05585$ |
$5.39343$ |
$[1, -1, 1, 385645, -49176228]$ |
\(y^2+xy+y=x^3-x^2+385645x-49176228\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(2255/2, 146799/2)]$ |
11760.p8 |
11760bq6 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$3.696476004$ |
$1$ |
|
$3$ |
$49152$ |
$1.610397$ |
$4733169839/3515625$ |
$1.05585$ |
$4.51014$ |
$[0, -1, 0, 27424, -939840]$ |
\(y^2=x^3-x^2+27424x-939840\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 28.24.0-4.d.1.1, $\ldots$ |
$[(474, 10878)]$ |
12615.f8 |
12615f6 |
12615.f |
12615f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 29^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$13920$ |
$768$ |
$13$ |
$1.739161730$ |
$1$ |
|
$0$ |
$50176$ |
$1.627943$ |
$4733169839/3515625$ |
$1.05585$ |
$4.49891$ |
$[1, 0, 1, 29417, -1031569]$ |
\(y^2+xy+y=x^3+29417x-1031569\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(715/2, 24511/2)]$ |
12675.n8 |
12675x6 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$2.031490$ |
$4733169839/3515625$ |
$1.05585$ |
$5.00924$ |
$[1, 0, 0, 147787, -11630958]$ |
\(y^2+xy=x^3+147787x-11630958\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
13005.p8 |
13005n6 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$8160$ |
$768$ |
$13$ |
$1.542533014$ |
$1$ |
|
$4$ |
$81920$ |
$1.910210$ |
$4733169839/3515625$ |
$1.05585$ |
$4.84201$ |
$[1, -1, 0, 90981, 5601258]$ |
\(y^2+xy=x^3-x^2+90981x+5601258\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(-38, 1464)]$ |
14400.cj8 |
14400y6 |
14400.cj |
14400y |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.196 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$2.338043$ |
$4733169839/3515625$ |
$1.05585$ |
$5.32667$ |
$[0, 0, 0, 503700, 73262000]$ |
\(y^2=x^3+503700x+73262000\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.3, 20.24.0-4.d.1.2, $\ldots$ |
$[]$ |
14400.cz8 |
14400dp6 |
14400.cz |
14400dp |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 5^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.196 |
2B |
$480$ |
$768$ |
$13$ |
$10.07379811$ |
$1$ |
|
$1$ |
$196608$ |
$2.338043$ |
$4733169839/3515625$ |
$1.05585$ |
$5.32667$ |
$[0, 0, 0, 503700, -73262000]$ |
\(y^2=x^3+503700x-73262000\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.3, 20.24.0-4.d.1.2, $\ldots$ |
$[(123824/7, 45162468/7)]$ |
14415.d8 |
14415g6 |
14415.d |
14415g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 31^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$14880$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.661289$ |
$4733169839/3515625$ |
$1.05585$ |
$4.47804$ |
$[1, 0, 0, 33615, 1265850]$ |
\(y^2+xy=x^3+33615x+1265850\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
16245.c8 |
16245d6 |
16245.c |
16245d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$9120$ |
$768$ |
$13$ |
$8.222150098$ |
$1$ |
|
$0$ |
$110592$ |
$1.965822$ |
$4733169839/3515625$ |
$1.05585$ |
$4.79975$ |
$[1, -1, 1, 113647, -7880038]$ |
\(y^2+xy+y=x^3-x^2+113647x-7880038\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(14527/14, 2566173/14)]$ |
20535.f8 |
20535a6 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$17760$ |
$768$ |
$13$ |
$4.165892584$ |
$1$ |
|
$0$ |
$96768$ |
$1.749756$ |
$4733169839/3515625$ |
$1.05585$ |
$4.42536$ |
$[1, 1, 0, 47887, -2127582]$ |
\(y^2+xy=x^3+x^2+47887x-2127582\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(838/3, 46658/3)]$ |
21675.s8 |
21675c5 |
21675.s |
21675c |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$8160$ |
$768$ |
$13$ |
$4.545716610$ |
$1$ |
|
$2$ |
$245760$ |
$2.165623$ |
$4733169839/3515625$ |
$1.05585$ |
$4.90126$ |
$[1, 1, 0, 252725, -25931750]$ |
\(y^2+xy=x^3+x^2+252725x-25931750\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(7770, 682490)]$ |
23805.s8 |
23805t5 |
23805.s |
23805t |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$2.061348$ |
$4733169839/3515625$ |
$1.05585$ |
$4.73151$ |
$[1, -1, 0, 166536, -13969427]$ |
\(y^2+xy=x^3-x^2+166536x-13969427\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
25215.f8 |
25215h5 |
25215.f |
25215h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 41^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$19680$ |
$768$ |
$13$ |
$1.353032967$ |
$1$ |
|
$2$ |
$133120$ |
$1.801083$ |
$4733169839/3515625$ |
$1.05585$ |
$4.39649$ |
$[1, 0, 0, 58800, -2917143]$ |
\(y^2+xy=x^3+58800x-2917143\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(509, 12353)]$ |
27075.f8 |
27075g5 |
27075.f |
27075g |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$9120$ |
$768$ |
$13$ |
$6.857504831$ |
$1$ |
|
$10$ |
$331776$ |
$2.221233$ |
$4733169839/3515625$ |
$1.05585$ |
$4.85982$ |
$[1, 1, 1, 315687, 36481656]$ |
\(y^2+xy+y=x^3+x^2+315687x+36481656\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(670, 23102), (40, 6992)]$ |
27225.bp8 |
27225bi5 |
27225.bp |
27225bi |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{14} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$5280$ |
$768$ |
$13$ |
$13.15948575$ |
$1$ |
|
$0$ |
$491520$ |
$2.497269$ |
$4733169839/3515625$ |
$1.05585$ |
$5.18156$ |
$[1, -1, 0, 952308, -190690659]$ |
\(y^2+xy=x^3-x^2+952308x-190690659\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(5700853/4, 13600253351/4)]$ |
27735.k8 |
27735g5 |
27735.k |
27735g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 43^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$20640$ |
$768$ |
$13$ |
$12.96328979$ |
$1$ |
|
$0$ |
$161280$ |
$1.824896$ |
$4733169839/3515625$ |
$1.05585$ |
$4.38349$ |
$[1, 0, 1, 64676, 3376247]$ |
\(y^2+xy+y=x^3+64676x+3376247\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(12775519/182, 54653658487/182)]$ |
29040.df8 |
29040dg5 |
29040.df |
29040dg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$5280$ |
$768$ |
$13$ |
$2.248976610$ |
$1$ |
|
$5$ |
$163840$ |
$1.836391$ |
$4733169839/3515625$ |
$1.05585$ |
$4.37730$ |
$[0, 1, 0, 67720, -3588972]$ |
\(y^2=x^3+x^2+67720x-3588972\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 44.24.0-4.d.1.1, $\ldots$ |
$[(172, 3630)]$ |
33135.d8 |
33135a5 |
33135.d |
33135a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 47^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$22560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$206080$ |
$1.869370$ |
$4733169839/3515625$ |
$1.05585$ |
$4.35984$ |
$[1, 1, 1, 77269, 4433978]$ |
\(y^2+xy+y=x^3+x^2+77269x+4433978\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
35280.do8 |
35280fr5 |
35280.do |
35280fr |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$2.215360378$ |
$1$ |
|
$5$ |
$393216$ |
$2.159706$ |
$4733169839/3515625$ |
$1.05585$ |
$4.66645$ |
$[0, 0, 0, 246813, 25128866]$ |
\(y^2=x^3+246813x+25128866\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 56.96.0-8.n.2.5, $\ldots$ |
$[(127, 7650)]$ |
37845.d8 |
37845d5 |
37845.d |
37845d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 29^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$13920$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$401408$ |
$2.177250$ |
$4733169839/3515625$ |
$1.05585$ |
$4.65536$ |
$[1, -1, 1, 264757, 27852356]$ |
\(y^2+xy+y=x^3-x^2+264757x+27852356\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
38025.cj8 |
38025bc5 |
38025.cj |
38025bc |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{14} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$2.580795$ |
$4733169839/3515625$ |
$1.05585$ |
$5.11245$ |
$[1, -1, 0, 1330083, 314035866]$ |
\(y^2+xy=x^3-x^2+1330083x+314035866\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
39675.bk8 |
39675bc5 |
39675.bk |
39675bc |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$11040$ |
$768$ |
$13$ |
$15.15185979$ |
$1$ |
|
$0$ |
$608256$ |
$2.316761$ |
$4733169839/3515625$ |
$1.05585$ |
$4.79271$ |
$[1, 0, 1, 462599, 64519073]$ |
\(y^2+xy+y=x^3+462599x+64519073\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(76323151/374, 1131199702519/374)]$ |
40560.bv8 |
40560ca5 |
40560.bv |
40560ca |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$3.583478477$ |
$1$ |
|
$3$ |
$294912$ |
$1.919918$ |
$4733169839/3515625$ |
$1.05585$ |
$4.33393$ |
$[0, 1, 0, 94584, 5992884]$ |
\(y^2=x^3+x^2+94584x+5992884\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 52.24.0-4.d.1.1, $\ldots$ |
$[(615, 17238)]$ |
42135.k8 |
42135f5 |
42135.k |
42135f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 53^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$25440$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$292864$ |
$1.929441$ |
$4733169839/3515625$ |
$1.05585$ |
$4.32916$ |
$[1, 0, 1, 98256, -6303749]$ |
\(y^2+xy+y=x^3+98256x-6303749\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
43245.h8 |
43245b5 |
43245.h |
43245b |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 31^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$14880$ |
$768$ |
$13$ |
$19.72502665$ |
$1$ |
|
$0$ |
$491520$ |
$2.210594$ |
$4733169839/3515625$ |
$1.05585$ |
$4.63467$ |
$[1, -1, 0, 302535, -34177950]$ |
\(y^2+xy=x^3-x^2+302535x-34177950\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(8649385831/2926, 891200126906865/2926)]$ |