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.a3 |
15a6 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3^{16} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.153 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$-147281603041/215233605$ |
$1.05949$ |
$9.96125$ |
$[1, 1, 1, -110, -880]$ |
\(y^2+xy+y=x^3+x^2-110x-880\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 20.24.0-20.h.1.1, $\ldots$ |
$[]$ |
45.a3 |
45a8 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{22} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.67 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$-147281603041/215233605$ |
$1.05949$ |
$8.81802$ |
$[1, -1, 0, -990, 22765]$ |
\(y^2+xy=x^3-x^2-990x+22765\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$ |
$[]$ |
75.b3 |
75b8 |
75.b |
75b |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \) |
\( - 3^{16} \cdot 5^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.121 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$96$ |
$1.095589$ |
$-147281603041/215233605$ |
$1.05949$ |
$8.48461$ |
$[1, 0, 1, -2751, -104477]$ |
\(y^2+xy+y=x^3-2751x-104477\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.7, 16.96.0-16.u.2.5, 20.24.0-20.h.1.2, $\ldots$ |
$[]$ |
225.b3 |
225c8 |
225.b |
225c |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \) |
\( - 3^{22} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.65 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$1.644896$ |
$-147281603041/215233605$ |
$1.05949$ |
$7.98063$ |
$[1, -1, 1, -24755, 2820872]$ |
\(y^2+xy+y=x^3-x^2-24755x+2820872\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$ |
$[]$ |
240.d3 |
240d8 |
240.d |
240d |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.101 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.984016$ |
$-147281603041/215233605$ |
$1.05949$ |
$6.43964$ |
$[0, 1, 0, -1760, 52788]$ |
\(y^2=x^3+x^2-1760x+52788\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.2, 16.96.0-16.u.2.4, 20.24.0-20.h.1.2, $\ldots$ |
$[]$ |
720.c3 |
720h8 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( - 2^{12} \cdot 3^{22} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.67 |
2B |
$480$ |
$768$ |
$13$ |
$5.201251375$ |
$1$ |
|
$3$ |
$2048$ |
$1.533323$ |
$-147281603041/215233605$ |
$1.05949$ |
$6.36623$ |
$[0, 0, 0, -15843, -1441118]$ |
\(y^2=x^3-15843x-1441118\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$ |
$[(279, 3982)]$ |
735.c3 |
735e8 |
735.c |
735e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \) |
\( - 3^{16} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$0.172294519$ |
$1$ |
|
$12$ |
$1536$ |
$1.263824$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.85633$ |
$[1, 0, 0, -5391, 285606]$ |
\(y^2+xy=x^3-5391x+285606\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(-45, 684)]$ |
960.a3 |
960i8 |
960.a |
960i |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{18} \cdot 3^{16} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.291 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$1.330591$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.74525$ |
$[0, -1, 0, -7041, 429345]$ |
\(y^2=x^3-x^2-7041x+429345\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.5, 16.96.0-16.u.2.1, 20.12.0.h.1, $\ldots$ |
$[]$ |
960.l3 |
960g8 |
960.l |
960g |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( - 2^{18} \cdot 3^{16} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.227 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$1.330591$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.74525$ |
$[0, 1, 0, -7041, -429345]$ |
\(y^2=x^3+x^2-7041x-429345\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.1, 16.96.0-16.u.2.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
1200.e3 |
1200j8 |
1200.e |
1200j |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.173 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.788736$ |
$-147281603041/215233605$ |
$1.05949$ |
$6.33984$ |
$[0, -1, 0, -44008, 6686512]$ |
\(y^2=x^3-x^2-44008x+6686512\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.3, 16.96.0-16.u.2.6, 20.24.0-20.h.1.1, $\ldots$ |
$[]$ |
1815.d3 |
1815a8 |
1815.d |
1815a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \) |
\( - 3^{16} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$5280$ |
$768$ |
$13$ |
$6.664295827$ |
$1$ |
|
$0$ |
$5120$ |
$1.489817$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.51224$ |
$[1, 1, 0, -13312, 1104481]$ |
\(y^2+xy=x^3+x^2-13312x+1104481\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(6871/6, 488797/6)]$ |
2205.i3 |
2205j8 |
2205.i |
2205j |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 3^{22} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12288$ |
$1.813131$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.87683$ |
$[1, -1, 0, -48519, -7711362]$ |
\(y^2+xy=x^3-x^2-48519x-7711362\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
2535.j3 |
2535a8 |
2535.j |
2535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( - 3^{16} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$16.45312041$ |
$1$ |
|
$0$ |
$9216$ |
$1.573345$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.40515$ |
$[1, 1, 0, -18593, -1840002]$ |
\(y^2+xy=x^3+x^2-18593x-1840002\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(132567229/732, 1113712635343/732)]$ |
2880.y3 |
2880r8 |
2880.y |
2880r |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{22} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.66 |
2B |
$480$ |
$768$ |
$13$ |
$5.298196352$ |
$1$ |
|
$3$ |
$16384$ |
$1.879896$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.78038$ |
$[0, 0, 0, -63372, 11528944]$ |
\(y^2=x^3-63372x+11528944\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(-120, 4172)]$ |
2880.bc3 |
2880bd8 |
2880.bc |
2880bd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{18} \cdot 3^{22} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.66 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16384$ |
$1.879896$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.78038$ |
$[0, 0, 0, -63372, -11528944]$ |
\(y^2=x^3-63372x-11528944\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
3600.u3 |
3600bf8 |
3600.u |
3600bf |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{22} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.65 |
2B |
$480$ |
$768$ |
$13$ |
$9.603901418$ |
$1$ |
|
$1$ |
$49152$ |
$2.338043$ |
$-147281603041/215233605$ |
$1.05949$ |
$6.29425$ |
$[0, 0, 0, -396075, -180139750]$ |
\(y^2=x^3-396075x-180139750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$ |
$[(96815/11, 5187350/11)]$ |
3675.j3 |
3675e8 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$2.068542$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.88450$ |
$[1, 1, 0, -134775, 35700750]$ |
\(y^2+xy=x^3+x^2-134775x+35700750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
4335.c3 |
4335d8 |
4335.c |
4335d |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 17^{2} \) |
\( - 3^{16} \cdot 5 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$20480$ |
$1.707476$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.25106$ |
$[1, 0, 0, -31796, -4099995]$ |
\(y^2+xy=x^3-31796x-4099995\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
4800.t3 |
4800b8 |
4800.t |
4800b |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{16} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.295 |
2B |
$480$ |
$768$ |
$13$ |
$14.85962321$ |
$1$ |
|
$1$ |
$49152$ |
$2.135311$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.79362$ |
$[0, -1, 0, -176033, -53316063]$ |
\(y^2=x^3-x^2-176033x-53316063\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.4, 16.96.0-16.u.2.8, 20.12.0.h.1, $\ldots$ |
$[(24213883/123, 114139312300/123)]$ |
4800.bz3 |
4800cd8 |
4800.bz |
4800cd |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{16} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.230 |
2B |
$480$ |
$768$ |
$13$ |
$0.537222968$ |
$1$ |
|
$11$ |
$49152$ |
$2.135311$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.79362$ |
$[0, 1, 0, -176033, 53316063]$ |
\(y^2=x^3+x^2-176033x+53316063\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.8, 16.96.0-16.u.2.7, 20.12.0.h.1, $\ldots$ |
$[(-41, 7776)]$ |
5415.j3 |
5415k8 |
5415.j |
5415k |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 19^{2} \) |
\( - 3^{16} \cdot 5 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$9120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.763088$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.19281$ |
$[1, 0, 1, -39718, 5716961]$ |
\(y^2+xy+y=x^3-39718x+5716961\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
5445.c3 |
5445g8 |
5445.c |
5445g |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 3^{22} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$5280$ |
$768$ |
$13$ |
$9.352879577$ |
$1$ |
|
$0$ |
$40960$ |
$2.039124$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.57453$ |
$[1, -1, 1, -119813, -29940798]$ |
\(y^2+xy+y=x^3-x^2-119813x-29940798\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(123237/4, 42968765/4)]$ |
7605.g3 |
7605q8 |
7605.g |
7605q |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 3^{22} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$5.070437301$ |
$1$ |
|
$0$ |
$73728$ |
$2.122650$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.47827$ |
$[1, -1, 1, -167342, 49512714]$ |
\(y^2+xy+y=x^3-x^2-167342x+49512714\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(651/2, 40581/2)]$ |
7935.d3 |
7935b8 |
7935.d |
7935b |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 23^{2} \) |
\( - 3^{16} \cdot 5 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.858616$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.09949$ |
$[1, 1, 1, -58201, 10122788]$ |
\(y^2+xy+y=x^3+x^2-58201x+10122788\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
9075.g3 |
9075l8 |
9075.g |
9075l |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$5280$ |
$768$ |
$13$ |
$0.471890948$ |
$1$ |
|
$10$ |
$122880$ |
$2.294537$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.59838$ |
$[1, 0, 0, -332813, 138725742]$ |
\(y^2+xy=x^3-332813x+138725742\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(187, 9019)]$ |
11025.p3 |
11025z8 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{22} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$2.617916422$ |
$1$ |
|
$4$ |
$294912$ |
$2.617851$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.89813$ |
$[1, -1, 1, -1212980, -965133228]$ |
\(y^2+xy+y=x^3-x^2-1212980x-965133228\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(1409, 10320)]$ |
11760.p3 |
11760bq8 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$7.392952009$ |
$1$ |
|
$1$ |
$98304$ |
$1.956972$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.01136$ |
$[0, -1, 0, -86256, -18278784]$ |
\(y^2=x^3-x^2-86256x-18278784\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(21010/3, 3018302/3)]$ |
12615.f3 |
12615f8 |
12615.f |
12615f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 29^{2} \) |
\( - 3^{16} \cdot 5 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$13920$ |
$768$ |
$13$ |
$3.478323460$ |
$1$ |
|
$2$ |
$100352$ |
$1.974518$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.99641$ |
$[1, 0, 1, -92528, -20347657]$ |
\(y^2+xy+y=x^3-92528x-20347657\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(737, 17292)]$ |
12675.n3 |
12675x8 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.378063$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.50648$ |
$[1, 0, 0, -464838, -229070583]$ |
\(y^2+xy=x^3-464838x-229070583\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
13005.p3 |
13005n8 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{22} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$8160$ |
$768$ |
$13$ |
$12.34026411$ |
$1$ |
|
$0$ |
$163840$ |
$2.256783$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.33791$ |
$[1, -1, 0, -286164, 110699865]$ |
\(y^2+xy=x^3-x^2-286164x+110699865\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(3297061/52, 5491831047/52)]$ |
14400.cj3 |
14400y8 |
14400.cj |
14400y |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{22} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.68 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.684616$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.81730$ |
$[0, 0, 0, -1584300, 1441118000]$ |
\(y^2=x^3-1584300x+1441118000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
14400.cz3 |
14400dp8 |
14400.cz |
14400dp |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{22} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.68 |
2B |
$480$ |
$768$ |
$13$ |
$5.036899059$ |
$1$ |
|
$3$ |
$393216$ |
$2.684616$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.81730$ |
$[0, 0, 0, -1584300, -1441118000]$ |
\(y^2=x^3-1584300x-1441118000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(26810, 4384800)]$ |
14415.d3 |
14415g8 |
14415.d |
14415g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 31^{2} \) |
\( - 3^{16} \cdot 5 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$14880$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$2.007862$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.96861$ |
$[1, 0, 0, -105730, 24836297]$ |
\(y^2+xy=x^3-105730x+24836297\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
16245.c3 |
16245d8 |
16245.c |
16245d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 3^{22} \cdot 5 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$9120$ |
$768$ |
$13$ |
$16.44430019$ |
$1$ |
|
$0$ |
$221184$ |
$2.312397$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.28427$ |
$[1, -1, 1, -357458, -154357954]$ |
\(y^2+xy+y=x^3-x^2-357458x-154357954\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(257475799/122, 4113143706683/122)]$ |
20535.f3 |
20535a8 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( - 3^{16} \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$17760$ |
$768$ |
$13$ |
$33.32714067$ |
$1$ |
|
$0$ |
$193536$ |
$2.096329$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.89845$ |
$[1, 1, 0, -150618, -42306363]$ |
\(y^2+xy=x^3+x^2-150618x-42306363\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(24080104520276079/368530, 3732261230228320443036207/368530)]$ |
21675.s3 |
21675c7 |
21675.s |
21675c |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$8160$ |
$768$ |
$13$ |
$36.36573288$ |
$1$ |
|
$0$ |
$491520$ |
$2.512196$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.37179$ |
$[1, 1, 0, -794900, -512499375]$ |
\(y^2+xy=x^3+x^2-794900x-512499375\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(409264570028551525/14142156, 223997178235413405925164425/14142156)]$ |
23805.s3 |
23805t7 |
23805.s |
23805t |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 3^{22} \cdot 5 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$405504$ |
$2.407925$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.19766$ |
$[1, -1, 0, -523809, -273839090]$ |
\(y^2+xy=x^3-x^2-523809x-273839090\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
25215.f3 |
25215h7 |
25215.f |
25215h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 41^{2} \) |
\( - 3^{16} \cdot 5 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$19680$ |
$768$ |
$13$ |
$2.706065934$ |
$1$ |
|
$0$ |
$266240$ |
$2.147655$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.86000$ |
$[1, 0, 0, -184945, -57494170]$ |
\(y^2+xy=x^3-184945x-57494170\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(15443/2, 1890811/2)]$ |
27075.f3 |
27075g7 |
27075.f |
27075g |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$9120$ |
$768$ |
$13$ |
$6.857504831$ |
$1$ |
|
$12$ |
$663552$ |
$2.567806$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.32009$ |
$[1, 1, 1, -992938, 714620156]$ |
\(y^2+xy+y=x^3+x^2-992938x+714620156\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(-800, 31987), (389, 19488)]$ |
27225.bp3 |
27225bi7 |
27225.bp |
27225bi |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{22} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$5280$ |
$768$ |
$13$ |
$26.31897150$ |
$1$ |
|
$0$ |
$983040$ |
$2.843842$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.64158$ |
$[1, -1, 0, -2995317, -3745595034]$ |
\(y^2+xy=x^3-x^2-2995317x-3745595034\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(1935997982293/29636, 464114639477799573/29636)]$ |
27735.k3 |
27735g7 |
27735.k |
27735g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 43^{2} \) |
\( - 3^{16} \cdot 5 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$20640$ |
$768$ |
$13$ |
$1.620411224$ |
$1$ |
|
$0$ |
$322560$ |
$2.171471$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.84268$ |
$[1, 0, 1, -203429, 66290321]$ |
\(y^2+xy+y=x^3-203429x+66290321\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(2379/2, 97463/2)]$ |
29040.df3 |
29040dg7 |
29040.df |
29040dg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$5280$ |
$768$ |
$13$ |
$4.497953220$ |
$1$ |
|
$3$ |
$327680$ |
$2.182964$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.83443$ |
$[0, 1, 0, -213000, -71112780]$ |
\(y^2=x^3+x^2-213000x-71112780\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(4548, 305046)]$ |
33135.d3 |
33135a7 |
33135.d |
33135a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 47^{2} \) |
\( - 3^{16} \cdot 5 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$22560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$412160$ |
$2.215942$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.81118$ |
$[1, 1, 1, -243036, 86485074]$ |
\(y^2+xy+y=x^3+x^2-243036x+86485074\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
35280.do3 |
35280fr7 |
35280.do |
35280fr |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{22} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$4.430720757$ |
$1$ |
|
$3$ |
$786432$ |
$2.506279$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.11509$ |
$[0, 0, 0, -776307, 494303474]$ |
\(y^2=x^3-776307x+494303474\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(119, 20090)]$ |
37845.d3 |
37845d7 |
37845.d |
37845d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 29^{2} \) |
\( - 3^{22} \cdot 5 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$13920$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$802816$ |
$2.523823$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.10101$ |
$[1, -1, 1, -832748, 549386732]$ |
\(y^2+xy+y=x^3-x^2-832748x+549386732\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
38025.cj3 |
38025bc7 |
38025.cj |
38025bc |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{22} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$2.927368$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.55790$ |
$[1, -1, 0, -4183542, 6184905741]$ |
\(y^2+xy=x^3-x^2-4183542x+6184905741\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
39675.bk3 |
39675bc7 |
39675.bk |
39675bc |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$11040$ |
$768$ |
$13$ |
$1.893982474$ |
$1$ |
|
$4$ |
$1216512$ |
$2.663334$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.23637$ |
$[1, 0, 1, -1455026, 1268258573]$ |
\(y^2+xy+y=x^3-1455026x+1268258573\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(-1083, 40216)]$ |
40560.bv3 |
40560ca7 |
40560.bv |
40560ca |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$1.791739238$ |
$1$ |
|
$5$ |
$589824$ |
$2.266491$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.77667$ |
$[0, 1, 0, -297496, 117165140]$ |
\(y^2=x^3+x^2-297496x+117165140\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(44, 10206)]$ |
42135.k3 |
42135f7 |
42135.k |
42135f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 53^{2} \) |
\( - 3^{16} \cdot 5 \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$25440$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$585728$ |
$2.276016$ |
$-147281603041/215233605$ |
$1.05949$ |
$4.77031$ |
$[1, 0, 1, -309049, -124186243]$ |
\(y^2+xy+y=x^3-309049x-124186243\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
43245.h3 |
43245b7 |
43245.h |
43245b |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 31^{2} \) |
\( - 3^{22} \cdot 5 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$14880$ |
$768$ |
$13$ |
$39.45005330$ |
$1$ |
|
$0$ |
$983040$ |
$2.557171$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.07475$ |
$[1, -1, 0, -951570, -670580019]$ |
\(y^2+xy=x^3-x^2-951570x-670580019\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(2825712283932547183/45900118, 2019307883902632767489313141/45900118)]$ |