| 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 |
| 6400.a1 |
6400r2 |
6400.a |
6400r |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-2})$ |
$-8$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.400746$ |
$8000$ |
$0.90298$ |
$3.31365$ |
$[0, 1, 0, -333, 1963]$ |
\(y^2=x^3+x^2-333x+1963\) |
|
$[]$ |
| 6400.a2 |
6400r1 |
6400.a |
6400r |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-2})$ |
$-8$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.054173$ |
$8000$ |
$0.90298$ |
$2.83911$ |
$[0, 1, 0, -83, -287]$ |
\(y^2=x^3+x^2-83x-287\) |
|
$[]$ |
| 6400.b1 |
6400q1 |
6400.b |
6400q |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.16.0.2 |
|
$160$ |
$32$ |
$0$ |
$0.593857628$ |
$1$ |
|
$8$ |
$384$ |
$-0.525319$ |
$-320$ |
$1.01898$ |
$1.94908$ |
$[0, -1, 0, -3, 7]$ |
\(y^2=x^3-x^2-3x+7\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 160.32.0.? |
$[(1, 2), (3, 4)]$ |
| 6400.c1 |
6400x1 |
6400.c |
6400x |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
32.32.0.4 |
|
$32$ |
$32$ |
$0$ |
$0.656156457$ |
$1$ |
|
$4$ |
$1920$ |
$0.279400$ |
$-320$ |
$1.01898$ |
$3.05092$ |
$[0, -1, 0, -83, -713]$ |
\(y^2=x^3-x^2-83x-713\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 32.32.0-16.b.1.2 |
$[(17, 50)]$ |
| 6400.d1 |
6400k2 |
6400.d |
6400k |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$0.400657182$ |
$1$ |
|
$14$ |
$2880$ |
$0.550133$ |
$-2194880$ |
$0.93073$ |
$3.84711$ |
$[0, -1, 0, -1583, 24787]$ |
\(y^2=x^3-x^2-1583x+24787\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[(17, 50), (42, 175)]$ |
| 6400.d2 |
6400k1 |
6400.d |
6400k |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$0.400657182$ |
$1$ |
|
$16$ |
$576$ |
$-0.254587$ |
$1600$ |
$0.96902$ |
$2.28819$ |
$[0, -1, 0, 17, -13]$ |
\(y^2=x^3-x^2+17x-13\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[(2, 5), (7, 20)]$ |
| 6400.e1 |
6400p1 |
6400.e |
6400p |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.254587$ |
$-2194880$ |
$0.93073$ |
$2.74526$ |
$[0, -1, 0, -63, -173]$ |
\(y^2=x^3-x^2-63x-173\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[]$ |
| 6400.e2 |
6400p2 |
6400.e |
6400p |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.550133$ |
$1600$ |
$0.96902$ |
$3.39004$ |
$[0, -1, 0, 417, 787]$ |
\(y^2=x^3-x^2+417x+787\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[]$ |
| 6400.f1 |
6400w2 |
6400.f |
6400w |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$6.311152297$ |
$1$ |
|
$0$ |
$5760$ |
$0.896706$ |
$-2194880$ |
$0.93073$ |
$4.32165$ |
$[0, -1, 0, -6333, -191963]$ |
\(y^2=x^3-x^2-6333x-191963\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[(1147/3, 27728/3)]$ |
| 6400.f2 |
6400w1 |
6400.f |
6400w |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1.262230459$ |
$1$ |
|
$2$ |
$1152$ |
$0.091987$ |
$1600$ |
$0.96902$ |
$2.76273$ |
$[0, -1, 0, 67, 37]$ |
\(y^2=x^3-x^2+67x+37\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[(3, 16)]$ |
| 6400.g1 |
6400d1 |
6400.g |
6400d |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$0.640727059$ |
$1$ |
|
$2$ |
$1152$ |
$0.091987$ |
$-2194880$ |
$0.93073$ |
$3.21980$ |
$[0, -1, 0, -253, 1637]$ |
\(y^2=x^3-x^2-253x+1637\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[(11, 8)]$ |
| 6400.g2 |
6400d2 |
6400.g |
6400d |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$3.203635296$ |
$1$ |
|
$2$ |
$5760$ |
$0.896706$ |
$1600$ |
$0.96902$ |
$3.86458$ |
$[0, -1, 0, 1667, -7963]$ |
\(y^2=x^3-x^2+1667x-7963\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[(43, 376)]$ |
| 6400.h1 |
6400e1 |
6400.h |
6400e |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.16.0.2 |
|
$160$ |
$32$ |
$0$ |
$1.547175509$ |
$1$ |
|
$2$ |
$768$ |
$-0.178746$ |
$-320$ |
$1.01898$ |
$2.42362$ |
$[0, -1, 0, -13, -43]$ |
\(y^2=x^3-x^2-13x-43\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 160.32.0.? |
$[(11, 32)]$ |
| 6400.i1 |
6400l1 |
6400.i |
6400l |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
32.32.0.4 |
|
$32$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.625974$ |
$-320$ |
$1.01898$ |
$3.52546$ |
$[0, -1, 0, -333, 6037]$ |
\(y^2=x^3-x^2-333x+6037\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 32.32.0-16.b.1.2 |
$[]$ |
| 6400.j1 |
6400h2 |
6400.j |
6400h |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.762980$ |
$1728$ |
|
$3.68972$ |
$[0, 0, 0, -1000, 0]$ |
\(y^2=x^3-1000x\) |
|
$[]$ |
| 6400.j2 |
6400h1 |
6400.j |
6400h |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.416406$ |
$1728$ |
|
$3.21518$ |
$[0, 0, 0, 250, 0]$ |
\(y^2=x^3+250x\) |
|
$[]$ |
| 6400.k1 |
6400t1 |
6400.k |
6400t |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{9} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.281528702$ |
$1$ |
|
$5$ |
$384$ |
$-0.388313$ |
$1728$ |
|
$2.11333$ |
$[0, 0, 0, -10, 0]$ |
\(y^2=x^3-10x\) |
|
$[(-1, 3)]$ |
| 6400.k2 |
6400t2 |
6400.k |
6400t |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.563057404$ |
$1$ |
|
$3$ |
$768$ |
$-0.041739$ |
$1728$ |
|
$2.58787$ |
$[0, 0, 0, 40, 0]$ |
\(y^2=x^3+40x\) |
|
$[(9, 33)]$ |
| 6400.l1 |
6400m2 |
6400.l |
6400m |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.189 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$1280$ |
$0.360620$ |
$1728$ |
|
$3.13879$ |
$[0, 0, 0, -200, 0]$ |
\(y^2=x^3-200x\) |
|
$[]$ |
| 6400.l2 |
6400m1 |
6400.l |
6400m |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.145 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$640$ |
$0.014046$ |
$1728$ |
|
$2.66425$ |
$[0, 0, 0, 50, 0]$ |
\(y^2=x^3+50x\) |
|
$[]$ |
| 6400.m1 |
6400a1 |
6400.m |
6400a |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{9} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.189 |
2B |
|
|
|
$2.017537032$ |
$1$ |
|
$5$ |
$640$ |
$0.014046$ |
$1728$ |
|
$2.66425$ |
$[0, 0, 0, -50, 0]$ |
\(y^2=x^3-50x\) |
|
$[(-1, 7)]$ |
| 6400.m2 |
6400a2 |
6400.m |
6400a |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.145 |
2B |
|
|
|
$4.035074064$ |
$1$ |
|
$3$ |
$1280$ |
$0.360620$ |
$1728$ |
|
$3.13879$ |
$[0, 0, 0, 200, 0]$ |
\(y^2=x^3+200x\) |
|
$[(49, 357)]$ |
| 6400.n1 |
6400s1 |
6400.n |
6400s |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.979220183$ |
$1$ |
|
$3$ |
$1920$ |
$0.416406$ |
$1728$ |
|
$3.21518$ |
$[0, 0, 0, -250, 0]$ |
\(y^2=x^3-250x\) |
|
$[(-9, 39)]$ |
| 6400.n2 |
6400s2 |
6400.n |
6400s |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.958440367$ |
$1$ |
|
$1$ |
$3840$ |
$0.762980$ |
$1728$ |
|
$3.68972$ |
$[0, 0, 0, 1000, 0]$ |
\(y^2=x^3+1000x\) |
|
$[(169/3, 4303/3)]$ |
| 6400.o1 |
6400g2 |
6400.o |
6400g |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$768$ |
$-0.041739$ |
$1728$ |
|
$2.58787$ |
$[0, 0, 0, -40, 0]$ |
\(y^2=x^3-40x\) |
|
$[]$ |
| 6400.o2 |
6400g1 |
6400.o |
6400g |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.388313$ |
$1728$ |
|
$2.11333$ |
$[0, 0, 0, 10, 0]$ |
\(y^2=x^3+10x\) |
|
$[]$ |
| 6400.p1 |
6400j1 |
6400.p |
6400j |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
32.32.0.3 |
|
$32$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.625974$ |
$-320$ |
$1.01898$ |
$3.52546$ |
$[0, 1, 0, -333, -6037]$ |
\(y^2=x^3+x^2-333x-6037\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 32.32.0-16.b.1.1 |
$[]$ |
| 6400.q1 |
6400c1 |
6400.q |
6400c |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.16.0.2 |
|
$160$ |
$32$ |
$0$ |
$0.854302896$ |
$1$ |
|
$2$ |
$768$ |
$-0.178746$ |
$-320$ |
$1.01898$ |
$2.42362$ |
$[0, 1, 0, -13, 43]$ |
\(y^2=x^3+x^2-13x+43\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 160.32.0.? |
$[(-3, 8)]$ |
| 6400.r1 |
6400n1 |
6400.r |
6400n |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.091987$ |
$-2194880$ |
$0.93073$ |
$3.21980$ |
$[0, 1, 0, -253, -1637]$ |
\(y^2=x^3+x^2-253x-1637\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[]$ |
| 6400.r2 |
6400n2 |
6400.r |
6400n |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.896706$ |
$1600$ |
$0.96902$ |
$3.86458$ |
$[0, 1, 0, 1667, 7963]$ |
\(y^2=x^3+x^2+1667x+7963\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[]$ |
| 6400.s1 |
6400i2 |
6400.s |
6400i |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.896706$ |
$-2194880$ |
$0.93073$ |
$4.32165$ |
$[0, 1, 0, -6333, 191963]$ |
\(y^2=x^3+x^2-6333x+191963\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[]$ |
| 6400.s2 |
6400i1 |
6400.s |
6400i |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.091987$ |
$1600$ |
$0.96902$ |
$2.76273$ |
$[0, 1, 0, 67, -37]$ |
\(y^2=x^3+x^2+67x-37\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[]$ |
| 6400.t1 |
6400b1 |
6400.t |
6400b |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$0.618179905$ |
$1$ |
|
$2$ |
$576$ |
$-0.254587$ |
$-2194880$ |
$0.93073$ |
$2.74526$ |
$[0, 1, 0, -63, 173]$ |
\(y^2=x^3+x^2-63x+173\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[(4, 1)]$ |
| 6400.t2 |
6400b2 |
6400.t |
6400b |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$3.090899528$ |
$1$ |
|
$2$ |
$2880$ |
$0.550133$ |
$1600$ |
$0.96902$ |
$3.39004$ |
$[0, 1, 0, 417, -787]$ |
\(y^2=x^3+x^2+417x-787\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[(4, 31)]$ |
| 6400.u1 |
6400u2 |
6400.u |
6400u |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$2.173855193$ |
$1$ |
|
$2$ |
$2880$ |
$0.550133$ |
$-2194880$ |
$0.93073$ |
$3.84711$ |
$[0, 1, 0, -1583, -24787]$ |
\(y^2=x^3+x^2-1583x-24787\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.1, 40.24.1.cb.1, 80.48.1.? |
$[(83, 650)]$ |
| 6400.u2 |
6400u1 |
6400.u |
6400u |
$2$ |
$5$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.6.0.1 |
5B |
$80$ |
$48$ |
$1$ |
$0.434771038$ |
$1$ |
|
$2$ |
$576$ |
$-0.254587$ |
$1600$ |
$0.96902$ |
$2.28819$ |
$[0, 1, 0, 17, 13]$ |
\(y^2=x^3+x^2+17x+13\) |
5.6.0.a.1, 8.2.0.a.1, 20.12.0.p.2, 40.24.1.cb.2, 80.48.1.? |
$[(3, 10)]$ |
| 6400.v1 |
6400v1 |
6400.v |
6400v |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
32.32.0.3 |
|
$32$ |
$32$ |
$0$ |
$0.534089062$ |
$1$ |
|
$2$ |
$1920$ |
$0.279400$ |
$-320$ |
$1.01898$ |
$3.05092$ |
$[0, 1, 0, -83, 713]$ |
\(y^2=x^3+x^2-83x+713\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 32.32.0-16.b.1.1 |
$[(8, 25)]$ |
| 6400.w1 |
6400o1 |
6400.w |
6400o |
$1$ |
$1$ |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.16.0.2 |
|
$160$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$-0.525319$ |
$-320$ |
$1.01898$ |
$1.94908$ |
$[0, 1, 0, -3, -7]$ |
\(y^2=x^3+x^2-3x-7\) |
4.4.0.a.1, 8.8.0.a.1, 16.16.0.b.1, 160.32.0.? |
$[]$ |
| 6400.x1 |
6400f2 |
6400.x |
6400f |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{15} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-2})$ |
$-8$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.759367983$ |
$1$ |
|
$1$ |
$2304$ |
$0.400746$ |
$8000$ |
$0.90298$ |
$3.31365$ |
$[0, -1, 0, -333, -1963]$ |
\(y^2=x^3-x^2-333x-1963\) |
|
$[(-68/3, 217/3)]$ |
| 6400.x2 |
6400f1 |
6400.x |
6400f |
$2$ |
$2$ |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{9} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-2})$ |
$-8$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.379683991$ |
$1$ |
|
$3$ |
$1152$ |
$0.054173$ |
$8000$ |
$0.90298$ |
$2.83911$ |
$[0, -1, 0, -83, 287]$ |
\(y^2=x^3-x^2-83x+287\) |
|
$[(-2, 21)]$ |
