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 |
162.a2 |
162a2 |
162.a |
162a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.8.0.2 |
3B.1.2 |
$12$ |
$128$ |
$1$ |
$0.101978294$ |
$1$ |
|
$10$ |
$36$ |
$-0.048500$ |
$109503/64$ |
$1.28549$ |
$4.44018$ |
$[1, -1, 0, 39, -19]$ |
\(y^2+xy=x^3-x^2+39x-19\) |
3.8.0-3.a.1.1, 4.8.0.b.1, 12.128.1-12.b.1.3 |
$[(10, 31)]$ |
162.d2 |
162d1 |
162.d |
162d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{6} \cdot 3^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.16.0.2, 3.8.0.1 |
3B.1.1 |
$12$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$12$ |
$-0.597807$ |
$109503/64$ |
$1.28549$ |
$3.14454$ |
$[1, -1, 1, 4, -1]$ |
\(y^2+xy+y=x^3-x^2+4x-1\) |
3.8.0-3.a.1.2, 4.16.0-4.b.1.1, 12.128.1-12.b.1.4 |
$[]$ |
1296.c2 |
1296j2 |
1296.c |
1296j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \) |
\( - 2^{18} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$12$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$0.644647$ |
$109503/64$ |
$1.28549$ |
$4.31246$ |
$[0, 0, 0, 621, 594]$ |
\(y^2=x^3+621x+594\) |
3.4.0.a.1, 4.8.0.b.1, 6.8.0-3.a.1.2, 12.128.1-12.b.1.1 |
$[]$ |
1296.l2 |
1296h1 |
1296.l |
1296h |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \) |
\( - 2^{18} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.16.0.2, 3.4.0.1 |
3B |
$12$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$0.095341$ |
$109503/64$ |
$1.28549$ |
$3.39274$ |
$[0, 0, 0, 69, -22]$ |
\(y^2=x^3+69x-22\) |
3.4.0.a.1, 4.16.0-4.b.1.1, 6.8.0-3.a.1.1, 12.128.1-12.b.1.2 |
$[]$ |
4050.r2 |
4050g1 |
4050.r |
4050g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1.308711465$ |
$1$ |
|
$4$ |
$1296$ |
$0.206913$ |
$109503/64$ |
$1.28549$ |
$3.08853$ |
$[1, -1, 0, 108, 16]$ |
\(y^2+xy=x^3-x^2+108x+16\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 15.8.0-3.a.1.2, 20.16.0-4.b.1.1, $\ldots$ |
$[(0, 4)]$ |
4050.bh2 |
4050v2 |
4050.bh |
4050v |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3888$ |
$0.756219$ |
$109503/64$ |
$1.28549$ |
$3.88209$ |
$[1, -1, 1, 970, -1403]$ |
\(y^2+xy+y=x^3-x^2+970x-1403\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 15.8.0-3.a.1.1, 60.128.1-12.b.1.1 |
$[]$ |
5184.c2 |
5184m1 |
5184.c |
5184m |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$0.743153780$ |
$1$ |
|
$4$ |
$2304$ |
$0.441914$ |
$109503/64$ |
$1.28549$ |
$3.32909$ |
$[0, 0, 0, 276, 176]$ |
\(y^2=x^3+276x+176\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.1, 24.128.1-12.b.1.2 |
$[(38, 256)]$ |
5184.h2 |
5184bc1 |
5184.h |
5184bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.16.0.3, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.441914$ |
$109503/64$ |
$1.28549$ |
$3.32909$ |
$[0, 0, 0, 276, -176]$ |
\(y^2=x^3+276x-176\) |
3.4.0.a.1, 4.8.0.b.1, 8.16.0-4.b.1.1, 12.64.1.b.1, 24.128.1-12.b.1.4 |
$[]$ |
5184.y2 |
5184j2 |
5184.y |
5184j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$2.011840550$ |
$1$ |
|
$2$ |
$6912$ |
$0.991220$ |
$109503/64$ |
$1.28549$ |
$4.09974$ |
$[0, 0, 0, 2484, -4752]$ |
\(y^2=x^3+2484x-4752\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 24.128.1-12.b.1.1 |
$[(142, 1792)]$ |
5184.bd2 |
5184z2 |
5184.bd |
5184z |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{24} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$24$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.991220$ |
$109503/64$ |
$1.28549$ |
$4.09974$ |
$[0, 0, 0, 2484, 4752]$ |
\(y^2=x^3+2484x+4752\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 24.128.1-12.b.1.3 |
$[]$ |
7938.n2 |
7938g2 |
7938.n |
7938g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.924455$ |
$109503/64$ |
$1.28549$ |
$3.81598$ |
$[1, -1, 0, 1902, 2708]$ |
\(y^2+xy=x^3-x^2+1902x+2708\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 21.8.0-3.a.1.2, 84.128.1.? |
$[]$ |
7938.s2 |
7938ba1 |
7938.s |
7938ba |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$0.457897845$ |
$1$ |
|
$4$ |
$3456$ |
$0.375149$ |
$109503/64$ |
$1.28549$ |
$3.08189$ |
$[1, -1, 1, 211, -171]$ |
\(y^2+xy+y=x^3-x^2+211x-171\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 21.8.0-3.a.1.1, 28.16.0-4.b.1.1, $\ldots$ |
$[(9, 44)]$ |
19602.p2 |
19602l1 |
19602.p |
19602l |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.601141$ |
$109503/64$ |
$1.28549$ |
$3.07440$ |
$[1, -1, 0, 522, -588]$ |
\(y^2+xy=x^3-x^2+522x-588\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 33.8.0-3.a.1.2, 44.16.0-4.b.1.1, $\ldots$ |
$[]$ |
19602.s2 |
19602bd2 |
19602.s |
19602bd |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$0.465407675$ |
$1$ |
|
$4$ |
$51840$ |
$1.150448$ |
$109503/64$ |
$1.28549$ |
$3.74135$ |
$[1, -1, 1, 4696, 11179]$ |
\(y^2+xy+y=x^3-x^2+4696x+11179\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 33.8.0-3.a.1.1, 132.128.1.? |
$[(91, 1043)]$ |
27378.c2 |
27378i1 |
27378.c |
27378i |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$156$ |
$128$ |
$1$ |
$2.682916190$ |
$1$ |
|
$2$ |
$28080$ |
$0.684669$ |
$109503/64$ |
$1.28549$ |
$3.07197$ |
$[1, -1, 0, 729, 573]$ |
\(y^2+xy=x^3-x^2+729x+573\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 39.8.0-3.a.1.1, 52.16.0-4.b.1.1, $\ldots$ |
$[(22, 153)]$ |
27378.v2 |
27378p2 |
27378.v |
27378p |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$156$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$84240$ |
$1.233974$ |
$109503/64$ |
$1.28549$ |
$3.71711$ |
$[1, -1, 1, 6559, -22031]$ |
\(y^2+xy+y=x^3-x^2+6559x-22031\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 39.8.0-3.a.1.2, 156.128.1.? |
$[]$ |
32400.f2 |
32400bz1 |
32400.f |
32400bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.900060$ |
$109503/64$ |
$1.28549$ |
$3.27102$ |
$[0, 0, 0, 1725, -2750]$ |
\(y^2=x^3+1725x-2750\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 20.16.0-4.b.1.1, 30.8.0-3.a.1.1, $\ldots$ |
$[]$ |
32400.g2 |
32400by2 |
32400.g |
32400by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$1.449366$ |
$109503/64$ |
$1.28549$ |
$3.90570$ |
$[0, 0, 0, 15525, 74250]$ |
\(y^2=x^3+15525x+74250\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 30.8.0-3.a.1.2, 60.128.1-12.b.1.2 |
$[]$ |
46818.e2 |
46818c2 |
46818.e |
46818c |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$204$ |
$128$ |
$1$ |
$9.177656504$ |
$1$ |
|
$0$ |
$181440$ |
$1.368107$ |
$109503/64$ |
$1.28549$ |
$3.68133$ |
$[1, -1, 0, 11217, -48403]$ |
\(y^2+xy=x^3-x^2+11217x-48403\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 51.8.0-3.a.1.1, 204.128.1.? |
$[(14798/13, 2682285/13)]$ |
46818.j2 |
46818k1 |
46818.j |
46818k |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$204$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60480$ |
$0.818800$ |
$109503/64$ |
$1.28549$ |
$3.06838$ |
$[1, -1, 1, 1246, 1377]$ |
\(y^2+xy+y=x^3-x^2+1246x+1377\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 51.8.0-3.a.1.2, 68.16.0-4.b.1.1, $\ldots$ |
$[]$ |
58482.n2 |
58482j1 |
58482.n |
58482j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$228$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$0.874413$ |
$109503/64$ |
$1.28549$ |
$3.06699$ |
$[1, -1, 0, 1557, -2747]$ |
\(y^2+xy=x^3-x^2+1557x-2747\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 57.8.0-3.a.1.1, 76.16.0.?, $\ldots$ |
$[]$ |
58482.p2 |
58482y2 |
58482.p |
58482y |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$228$ |
$128$ |
$1$ |
$1.288063135$ |
$1$ |
|
$4$ |
$248832$ |
$1.423719$ |
$109503/64$ |
$1.28549$ |
$3.66752$ |
$[1, -1, 1, 14011, 60157]$ |
\(y^2+xy+y=x^3-x^2+14011x+60157\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 57.8.0-3.a.1.2, 228.128.1.? |
$[(5, 358)]$ |
63504.i2 |
63504cd1 |
63504.i |
63504cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$1.989957051$ |
$1$ |
|
$2$ |
$82944$ |
$1.068296$ |
$109503/64$ |
$1.28549$ |
$3.25453$ |
$[0, 0, 0, 3381, 7546]$ |
\(y^2=x^3+3381x+7546\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 28.16.0-4.b.1.1, 42.8.0-3.a.1.2, $\ldots$ |
$[(63, 686)]$ |
63504.cp2 |
63504by2 |
63504.cp |
63504by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$2.525600455$ |
$1$ |
|
$4$ |
$248832$ |
$1.617601$ |
$109503/64$ |
$1.28549$ |
$3.85058$ |
$[0, 0, 0, 30429, -203742]$ |
\(y^2=x^3+30429x-203742\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 42.8.0-3.a.1.1, 84.128.1.? |
$[(7, 98)]$ |
85698.l2 |
85698h2 |
85698.l |
85698h |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$276$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$456192$ |
$1.519247$ |
$109503/64$ |
$1.28549$ |
$3.64507$ |
$[1, -1, 0, 20532, 107792]$ |
\(y^2+xy=x^3-x^2+20532x+107792\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 69.8.0-3.a.1.1, 276.128.1.? |
$[]$ |
85698.o2 |
85698u1 |
85698.o |
85698u |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 23^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$276$ |
$128$ |
$1$ |
$1.469487590$ |
$1$ |
|
$2$ |
$152064$ |
$0.969940$ |
$109503/64$ |
$1.28549$ |
$3.06474$ |
$[1, -1, 1, 2281, -4753]$ |
\(y^2+xy+y=x^3-x^2+2281x-4753\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 69.8.0-3.a.1.2, 92.16.0.?, $\ldots$ |
$[(259, 4102)]$ |
129600.r2 |
129600gu1 |
129600.r |
129600gu |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$120$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$1.246634$ |
$109503/64$ |
$1.28549$ |
$3.23911$ |
$[0, 0, 0, 6900, -22000]$ |
\(y^2=x^3+6900x-22000\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 40.16.0-4.b.1.1, 120.128.1.? |
$[]$ |
129600.s2 |
129600gt2 |
129600.s |
129600gt |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$120$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.795938$ |
$109503/64$ |
$1.28549$ |
$3.79904$ |
$[0, 0, 0, 62100, 594000]$ |
\(y^2=x^3+62100x+594000\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 120.128.1.? |
$[]$ |
129600.ir2 |
129600cc1 |
129600.ir |
129600cc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$120$ |
$128$ |
$1$ |
$5.373521398$ |
$1$ |
|
$0$ |
$248832$ |
$1.246634$ |
$109503/64$ |
$1.28549$ |
$3.23911$ |
$[0, 0, 0, 6900, 22000]$ |
\(y^2=x^3+6900x+22000\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 40.16.0-4.b.1.1, 120.128.1.? |
$[(1374/7, 167168/7)]$ |
129600.is2 |
129600cb2 |
129600.is |
129600cb |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$120$ |
$128$ |
$1$ |
$3.279994357$ |
$1$ |
|
$2$ |
$746496$ |
$1.795938$ |
$109503/64$ |
$1.28549$ |
$3.79904$ |
$[0, 0, 0, 62100, -594000]$ |
\(y^2=x^3+62100x-594000\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 120.128.1.? |
$[(454, 11008)]$ |
136242.t2 |
136242bq1 |
136242.t |
136242bq |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$348$ |
$128$ |
$1$ |
$5.429920650$ |
$1$ |
|
$0$ |
$275184$ |
$1.085842$ |
$109503/64$ |
$1.28549$ |
$3.06220$ |
$[1, -1, 0, 3627, 7477]$ |
\(y^2+xy=x^3-x^2+3627x+7477\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 87.8.0.?, 116.16.0.?, $\ldots$ |
$[(178/3, 7681/3)]$ |
136242.z2 |
136242i2 |
136242.z |
136242i |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$348$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$825552$ |
$1.635147$ |
$109503/64$ |
$1.28549$ |
$3.61977$ |
$[1, -1, 1, 32641, -234521]$ |
\(y^2+xy+y=x^3-x^2+32641x-234521\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 87.8.0.?, 348.128.1.? |
$[]$ |
155682.a2 |
155682q2 |
155682.a |
155682q |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 31^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$372$ |
$128$ |
$1$ |
$6.026229211$ |
$1$ |
|
$6$ |
$1088640$ |
$1.668493$ |
$109503/64$ |
$1.28549$ |
$3.61286$ |
$[1, -1, 0, 37299, 267173]$ |
\(y^2+xy=x^3-x^2+37299x+267173\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 93.8.0.?, 372.128.1.? |
$[(194, 3747), (221/4, 56257/4)]$ |
155682.z2 |
155682m1 |
155682.z |
155682m |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$372$ |
$128$ |
$1$ |
$2.223593758$ |
$1$ |
|
$0$ |
$362880$ |
$1.119186$ |
$109503/64$ |
$1.28549$ |
$3.06151$ |
$[1, -1, 1, 4144, -11277]$ |
\(y^2+xy+y=x^3-x^2+4144x-11277\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 93.8.0.?, 124.16.0.?, $\ldots$ |
$[(63/2, 1855/2)]$ |
156816.g2 |
156816m2 |
156816.g |
156816m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$3.811381322$ |
$1$ |
|
$2$ |
$1244160$ |
$1.843594$ |
$109503/64$ |
$1.28549$ |
$3.78631$ |
$[0, 0, 0, 75141, -790614]$ |
\(y^2=x^3+75141x-790614\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 66.8.0-3.a.1.2, 132.128.1.? |
$[(847, 25894)]$ |
156816.db2 |
156816by1 |
156816.db |
156816by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$132$ |
$128$ |
$1$ |
$4.855561981$ |
$1$ |
|
$2$ |
$414720$ |
$1.294289$ |
$109503/64$ |
$1.28549$ |
$3.23530$ |
$[0, 0, 0, 8349, 29282]$ |
\(y^2=x^3+8349x+29282\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 44.16.0-4.b.1.1, 66.8.0-3.a.1.1, $\ldots$ |
$[(2783, 146894)]$ |
198450.cd2 |
198450hg1 |
198450.cd |
198450hg |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$420$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.179867$ |
$109503/64$ |
$1.28549$ |
$3.06028$ |
$[1, -1, 0, 5283, -16059]$ |
\(y^2+xy=x^3-x^2+5283x-16059\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 105.8.0.?, 140.16.0.?, $\ldots$ |
$[]$ |
198450.gl2 |
198450cy2 |
198450.gl |
198450cy |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$420$ |
$128$ |
$1$ |
$1.330453660$ |
$1$ |
|
$2$ |
$1119744$ |
$1.729174$ |
$109503/64$ |
$1.28549$ |
$3.60066$ |
$[1, -1, 1, 47545, 386047]$ |
\(y^2+xy+y=x^3-x^2+47545x+386047\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 105.8.0.?, 420.128.1.? |
$[(163, 3446)]$ |
219024.d2 |
219024m1 |
219024.d |
219024m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$156$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$673920$ |
$1.377815$ |
$109503/64$ |
$1.28549$ |
$3.22890$ |
$[0, 0, 0, 11661, -48334]$ |
\(y^2=x^3+11661x-48334\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 52.16.0-4.b.1.1, 78.8.0.?, $\ldots$ |
$[]$ |
219024.cs2 |
219024br2 |
219024.cs |
219024br |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$156$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2021760$ |
$1.927122$ |
$109503/64$ |
$1.28549$ |
$3.76495$ |
$[0, 0, 0, 104949, 1305018]$ |
\(y^2=x^3+104949x+1305018\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 78.8.0.?, 156.128.1.? |
$[]$ |
221778.b2 |
221778p1 |
221778.b |
221778p |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$444$ |
$128$ |
$1$ |
$3.741259697$ |
$1$ |
|
$2$ |
$623376$ |
$1.207653$ |
$109503/64$ |
$1.28549$ |
$3.05974$ |
$[1, -1, 0, 5904, 15936]$ |
\(y^2+xy=x^3-x^2+5904x+15936\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 111.8.0.?, 148.16.0.?, $\ldots$ |
$[(64, 776)]$ |
221778.w2 |
221778k2 |
221778.w |
221778k |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$444$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1870128$ |
$1.756958$ |
$109503/64$ |
$1.28549$ |
$3.59524$ |
$[1, -1, 1, 53134, -483407]$ |
\(y^2+xy+y=x^3-x^2+53134x-483407\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 111.8.0.?, 444.128.1.? |
$[]$ |
254016.z2 |
254016z2 |
254016.z |
254016z |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{24} \cdot 3^{10} \cdot 7^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$168$ |
$128$ |
$1$ |
$2.465629329$ |
$1$ |
|
$8$ |
$1990656$ |
$1.964176$ |
$109503/64$ |
$1.28549$ |
$3.75584$ |
$[0, 0, 0, 121716, 1629936]$ |
\(y^2=x^3+121716x+1629936\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 168.128.1.? |
$[(30, 2304), (84, 3528)]$ |
254016.ba2 |
254016ba2 |
254016.ba |
254016ba |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{24} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$168$ |
$128$ |
$1$ |
$6.597892367$ |
$1$ |
|
$2$ |
$1990656$ |
$1.964176$ |
$109503/64$ |
$1.28549$ |
$3.75584$ |
$[0, 0, 0, 121716, -1629936]$ |
\(y^2=x^3+121716x-1629936\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 168.128.1.? |
$[(10108, 1016848)]$ |
254016.hh2 |
254016hh1 |
254016.hh |
254016hh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$168$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$1.414869$ |
$109503/64$ |
$1.28549$ |
$3.22618$ |
$[0, 0, 0, 13524, -60368]$ |
\(y^2=x^3+13524x-60368\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 56.16.0-4.b.1.1, 168.128.1.? |
$[]$ |
254016.hi2 |
254016hi1 |
254016.hi |
254016hi |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$168$ |
$128$ |
$1$ |
$7.895189405$ |
$1$ |
|
$0$ |
$663552$ |
$1.414869$ |
$109503/64$ |
$1.28549$ |
$3.22618$ |
$[0, 0, 0, 13524, 60368]$ |
\(y^2=x^3+13524x+60368\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 56.16.0-4.b.1.1, 168.128.1.? |
$[(36176/5, 6902924/5)]$ |
272322.c2 |
272322c2 |
272322.c |
272322c |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 41^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$492$ |
$128$ |
$1$ |
$3.238671070$ |
$1$ |
|
$0$ |
$2488320$ |
$1.808285$ |
$109503/64$ |
$1.28549$ |
$3.58547$ |
$[1, -1, 0, 65244, -655984]$ |
\(y^2+xy=x^3-x^2+65244x-655984\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 123.8.0.?, 492.128.1.? |
$[(83/2, 6641/2)]$ |
272322.be2 |
272322be1 |
272322.be |
272322be |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 41^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$492$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.258980$ |
$109503/64$ |
$1.28549$ |
$3.05876$ |
$[1, -1, 1, 7249, 21879]$ |
\(y^2+xy+y=x^3-x^2+7249x+21879\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 123.8.0.?, 164.16.0.?, $\ldots$ |
$[]$ |
299538.a2 |
299538a1 |
299538.a |
299538a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$943488$ |
$1.282793$ |
$109503/64$ |
$1.28549$ |
$3.05832$ |
$[1, -1, 0, 7974, -29324]$ |
\(y^2+xy=x^3-x^2+7974x-29324\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 129.8.0.?, 172.16.0.?, $\ldots$ |
$[]$ |
299538.z2 |
299538z2 |
299538.z |
299538z |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$7.364239155$ |
$1$ |
|
$0$ |
$2830464$ |
$1.832100$ |
$109503/64$ |
$1.28549$ |
$3.58105$ |
$[1, -1, 1, 71764, 719983]$ |
\(y^2+xy+y=x^3-x^2+71764x+719983\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 129.8.0.?, 516.128.1.? |
$[(40607/19, 21523303/19)]$ |