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 |
54450.a1 |
54450cr2 |
54450.a |
54450cr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$2.057237800$ |
$1$ |
|
$2$ |
$38320128$ |
$3.823154$ |
$134766108430924201/283115520$ |
$1.04156$ |
$6.86598$ |
$[1, -1, 0, -1438297317, 20995574792341]$ |
\(y^2+xy=x^3-x^2-1438297317x+20995574792341\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.7, 120.16.0.? |
$[(21629, 57248)]$ |
54450.a2 |
54450cr1 |
54450.a |
54450cr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{15} \cdot 5^{9} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$6.171713400$ |
$1$ |
|
$2$ |
$12773376$ |
$3.273846$ |
$571305535801/314928000$ |
$1.03980$ |
$5.73154$ |
$[1, -1, 0, -23277942, 9422441716]$ |
\(y^2+xy=x^3-x^2-23277942x+9422441716\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.8, 120.16.0.? |
$[(-4921, 71648)]$ |
54450.b1 |
54450bd1 |
54450.b |
54450bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.851030188$ |
$1$ |
|
$4$ |
$506880$ |
$1.674879$ |
$101871/2$ |
$1.06335$ |
$4.16601$ |
$[1, -1, 0, -78612, -8318854]$ |
\(y^2+xy=x^3-x^2-78612x-8318854\) |
120.2.0.? |
$[(-151, 378)]$ |
54450.c1 |
54450bc1 |
54450.c |
54450bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.031942929$ |
$1$ |
|
$4$ |
$230400$ |
$1.280649$ |
$101871/2$ |
$1.06335$ |
$3.73219$ |
$[1, -1, 0, -16242, 787166]$ |
\(y^2+xy=x^3-x^2-16242x+787166\) |
120.2.0.? |
$[(169, 1603)]$ |
54450.d1 |
54450cq4 |
54450.d |
54450cq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$3.719627800$ |
$1$ |
|
$4$ |
$1966080$ |
$2.458019$ |
$4824238966273/66$ |
$1.02376$ |
$5.48740$ |
$[1, -1, 0, -9583767, -11417246109]$ |
\(y^2+xy=x^3-x^2-9583767x-11417246109\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.6, $\ldots$ |
$[(-1787, 903)]$ |
54450.d2 |
54450cq2 |
54450.d |
54450cq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.859813900$ |
$1$ |
|
$12$ |
$983040$ |
$2.111446$ |
$1180932193/4356$ |
$0.96736$ |
$4.72490$ |
$[1, -1, 0, -599517, -177949359]$ |
\(y^2+xy=x^3-x^2-599517x-177949359\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 132.12.0.?, $\ldots$ |
$[(-456, 903)]$ |
54450.d3 |
54450cq3 |
54450.d |
54450cq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$3.719627800$ |
$1$ |
|
$4$ |
$1966080$ |
$2.458019$ |
$-192100033/2371842$ |
$1.02507$ |
$4.84321$ |
$[1, -1, 0, -327267, -340482609]$ |
\(y^2+xy=x^3-x^2-327267x-340482609\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 40.24.0-8.d.1.3, 264.24.0.?, $\ldots$ |
$[(1359, 40833)]$ |
54450.d4 |
54450cq1 |
54450.d |
54450cq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$0.929906950$ |
$1$ |
|
$9$ |
$491520$ |
$1.764872$ |
$912673/528$ |
$1.18336$ |
$4.06783$ |
$[1, -1, 0, -55017, 102141]$ |
\(y^2+xy=x^3-x^2-55017x+102141\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.8, $\ldots$ |
$[(-41, 1533)]$ |
54450.e1 |
54450o3 |
54450.e |
54450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$14929920$ |
$3.425568$ |
$15781142246787/8722841600$ |
$1.10012$ |
$5.89831$ |
$[1, -1, 0, -42680292, -22722430384]$ |
\(y^2+xy=x^3-x^2-42680292x-22722430384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 30.24.0-6.a.1.3, $\ldots$ |
$[]$ |
54450.e2 |
54450o1 |
54450.e |
54450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{12} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4976640$ |
$2.876263$ |
$5066026756449723/11000000$ |
$1.06053$ |
$5.82310$ |
$[1, -1, 0, -32470917, -71209777259]$ |
\(y^2+xy=x^3-x^2-32470917x-71209777259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 30.24.0-6.a.1.4, $\ldots$ |
$[]$ |
54450.e3 |
54450o2 |
54450.e |
54450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{18} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9953280$ |
$3.222836$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$5.82735$ |
$[1, -1, 0, -32107917, -72879940259]$ |
\(y^2+xy=x^3-x^2-32107917x-72879940259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.9, $\ldots$ |
$[]$ |
54450.e4 |
54450o4 |
54450.e |
54450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{10} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$29859840$ |
$3.772144$ |
$935355271080573/566899520000$ |
$1.07091$ |
$6.27265$ |
$[1, -1, 0, 166407708, -179747518384]$ |
\(y^2+xy=x^3-x^2+166407708x-179747518384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.5, $\ldots$ |
$[]$ |
54450.f1 |
54450z2 |
54450.f |
54450z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$1.615079879$ |
$1$ |
|
$6$ |
$1536000$ |
$2.339016$ |
$736314327/58564$ |
$1.00767$ |
$4.82211$ |
$[1, -1, 0, -853617, 282141041]$ |
\(y^2+xy=x^3-x^2-853617x+282141041\) |
2.3.0.a.1, 4.6.0.e.1, 12.12.0.n.1, 20.12.0.o.1, 60.24.0.be.1, $\ldots$ |
$[(80, 14601)]$ |
54450.f2 |
54450z1 |
54450.f |
54450z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.230159758$ |
$1$ |
|
$5$ |
$768000$ |
$1.992443$ |
$185193/1936$ |
$1.01300$ |
$4.32225$ |
$[1, -1, 0, 53883, 19873541]$ |
\(y^2+xy=x^3-x^2+53883x+19873541\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bu.1, 30.6.0.a.1, 40.12.0.br.1, $\ldots$ |
$[(169, 5728)]$ |
54450.g1 |
54450cp1 |
54450.g |
54450cp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$660$ |
$16$ |
$0$ |
$11.04162346$ |
$1$ |
|
$0$ |
$5913600$ |
$2.980694$ |
$43307231/82944$ |
$1.06329$ |
$5.37808$ |
$[1, -1, 0, 4872708, 6290465616]$ |
\(y^2+xy=x^3-x^2+4872708x+6290465616\) |
4.8.0.b.1, 660.16.0.? |
$[(-176520/19, 423978684/19)]$ |
54450.h1 |
54450x1 |
54450.h |
54450x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.509505710$ |
$1$ |
|
$4$ |
$193536$ |
$1.225792$ |
$7177599/128$ |
$0.98426$ |
$3.67664$ |
$[1, -1, 0, -13272, -576064]$ |
\(y^2+xy=x^3-x^2-13272x-576064\) |
120.2.0.? |
$[(-71, 103)]$ |
54450.i1 |
54450w1 |
54450.i |
54450w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{9} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$6.343482537$ |
$1$ |
|
$2$ |
$10644480$ |
$3.229458$ |
$7177599/128$ |
$0.98426$ |
$5.88149$ |
$[1, -1, 0, -40148367, 96404722541]$ |
\(y^2+xy=x^3-x^2-40148367x+96404722541\) |
120.2.0.? |
$[(3163, 30859)]$ |
54450.j1 |
54450cj1 |
54450.j |
54450cj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{11} \cdot 5^{13} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$35.74792098$ |
$1$ |
|
$0$ |
$120637440$ |
$4.462822$ |
$21571025211960961/2488320000000$ |
$1.06150$ |
$7.13774$ |
$[1, -1, 0, -3862547442, 82677986837716]$ |
\(y^2+xy=x^3-x^2-3862547442x+82677986837716\) |
120.2.0.? |
$[(16397327491967051/995242, 4747421426047571756654129/995242)]$ |
54450.k1 |
54450do1 |
54450.k |
54450do |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1774080$ |
$2.572762$ |
$75625/18$ |
$1.00741$ |
$5.01417$ |
$[1, -1, 0, -1715742, -663277334]$ |
\(y^2+xy=x^3-x^2-1715742x-663277334\) |
8.2.0.b.1 |
$[]$ |
54450.l1 |
54450ci1 |
54450.l |
54450ci |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{10} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.877731878$ |
$1$ |
|
$0$ |
$119808$ |
$1.215181$ |
$287250720625/663552$ |
$1.06222$ |
$3.75881$ |
$[1, -1, 0, -17892, -914864]$ |
\(y^2+xy=x^3-x^2-17892x-914864\) |
8.2.0.b.1 |
$[(-313/2, 7/2)]$ |
54450.m1 |
54450dn1 |
54450.m |
54450dn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{10} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6589440$ |
$3.218849$ |
$287250720625/663552$ |
$1.06222$ |
$5.96366$ |
$[1, -1, 0, -54123867, 152968229541]$ |
\(y^2+xy=x^3-x^2-54123867x+152968229541\) |
8.2.0.b.1 |
$[]$ |
54450.n1 |
54450ch1 |
54450.n |
54450ch |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.440819373$ |
$1$ |
|
$4$ |
$32256$ |
$0.569097$ |
$75625/18$ |
$1.00741$ |
$2.80931$ |
$[1, -1, 0, -567, 4131]$ |
\(y^2+xy=x^3-x^2-567x+4131\) |
8.2.0.b.1 |
$[(3, 48)]$ |
54450.o1 |
54450cg1 |
54450.o |
54450cg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.659133002$ |
$1$ |
|
$4$ |
$69120$ |
$0.802906$ |
$-14641/80$ |
$1.01441$ |
$3.02443$ |
$[1, -1, 0, -567, -16659]$ |
\(y^2+xy=x^3-x^2-567x-16659\) |
20.2.0.a.1 |
$[(34, 33)]$ |
54450.p1 |
54450bk1 |
54450.p |
54450bk |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1320$ |
$24$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3421440$ |
$2.813915$ |
$-616295051/64000$ |
$1.06545$ |
$5.34007$ |
$[1, -1, 0, -5309442, 5115325716]$ |
\(y^2+xy=x^3-x^2-5309442x+5115325716\) |
3.6.0.b.1, 33.12.0.a.1, 120.12.0.?, 440.2.0.?, 1320.24.1.? |
$[]$ |
54450.q1 |
54450dm1 |
54450.q |
54450dm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.045730020$ |
$1$ |
|
$12$ |
$46080$ |
$0.661535$ |
$12019997/864$ |
$0.92030$ |
$2.98191$ |
$[1, -1, 0, -1062, -12204]$ |
\(y^2+xy=x^3-x^2-1062x-12204\) |
120.2.0.? |
$[(-15, -6), (-21, 33)]$ |
54450.r1 |
54450dl1 |
54450.r |
54450dl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2534400$ |
$2.665203$ |
$12019997/864$ |
$0.92030$ |
$5.18676$ |
$[1, -1, 0, -3213117, 2075421541]$ |
\(y^2+xy=x^3-x^2-3213117x+2075421541\) |
120.2.0.? |
$[]$ |
54450.s1 |
54450n1 |
54450.s |
54450n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{25} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15206400$ |
$3.619263$ |
$14934427706187/167772160$ |
$1.02328$ |
$6.33304$ |
$[1, -1, 0, -207255417, -1137183114259]$ |
\(y^2+xy=x^3-x^2-207255417x-1137183114259\) |
120.2.0.? |
$[]$ |
54450.t1 |
54450ck1 |
54450.t |
54450ck |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 5^{2} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$17.59608292$ |
$1$ |
|
$0$ |
$10644480$ |
$3.347412$ |
$1296633753003985/17006112$ |
$1.06539$ |
$6.28957$ |
$[1, -1, 0, -176968512, 906167320416]$ |
\(y^2+xy=x^3-x^2-176968512x+906167320416\) |
8.2.0.b.1 |
$[(1020413751/365, -161413144521/365)]$ |
54450.u1 |
54450dp1 |
54450.u |
54450dp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4838400$ |
$2.953182$ |
$1296633753003985/17006112$ |
$1.06539$ |
$5.85576$ |
$[1, -1, 0, -36563742, -85088819084]$ |
\(y^2+xy=x^3-x^2-36563742x-85088819084\) |
8.2.0.b.1 |
$[]$ |
54450.v1 |
54450dh4 |
54450.v |
54450dh |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$4480000$ |
$3.018993$ |
$502270291349/1889568$ |
$1.07575$ |
$5.72271$ |
$[1, -1, 0, -22542867, 41068155541]$ |
\(y^2+xy=x^3-x^2-22542867x+41068155541\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 40.72.1.bf.1, $\ldots$ |
$[]$ |
54450.v2 |
54450dh2 |
54450.v |
54450dh |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$896000$ |
$2.214275$ |
$131872229/18$ |
$1.12852$ |
$4.96663$ |
$[1, -1, 0, -1443492, -667088834]$ |
\(y^2+xy=x^3-x^2-1443492x-667088834\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 40.72.1.bf.2, $\ldots$ |
$[]$ |
54450.v3 |
54450dh3 |
54450.v |
54450dh |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$2240000$ |
$2.672421$ |
$-19465109/248832$ |
$1.09754$ |
$5.07908$ |
$[1, -1, 0, -762867, 1232535541]$ |
\(y^2+xy=x^3-x^2-762867x+1232535541\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 24.6.0.j.1, 30.72.1.i.1, $\ldots$ |
$[]$ |
54450.v4 |
54450dh1 |
54450.v |
54450dh |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$448000$ |
$1.867702$ |
$-24389/12$ |
$1.10339$ |
$4.23485$ |
$[1, -1, 0, -82242, -12327584]$ |
\(y^2+xy=x^3-x^2-82242x-12327584\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 24.6.0.j.1, 30.72.1.i.2, $\ldots$ |
$[]$ |
54450.w1 |
54450dg2 |
54450.w |
54450dg |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{33} \cdot 3^{8} \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22809600$ |
$3.844032$ |
$-6663170841705625/850403524608$ |
$1.07384$ |
$6.46391$ |
$[1, -1, 0, -312080742, -2344283691084]$ |
\(y^2+xy=x^3-x^2-312080742x-2344283691084\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 33.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
54450.w2 |
54450dg1 |
54450.w |
54450dg |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7603200$ |
$3.294724$ |
$3355354844375/1987172352$ |
$1.11835$ |
$5.74928$ |
$[1, -1, 0, 24828633, 7276364541]$ |
\(y^2+xy=x^3-x^2+24828633x+7276364541\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
54450.x1 |
54450ca2 |
54450.x |
54450ca |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1.413082956$ |
$1$ |
|
$2$ |
$1368576$ |
$2.421764$ |
$-128667913/4096$ |
$0.98675$ |
$4.96631$ |
$[1, -1, 0, -1416267, 666691141]$ |
\(y^2+xy=x^3-x^2-1416267x+666691141\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.2, 24.16.0.b.2, $\ldots$ |
$[(2390, 103349)]$ |
54450.x2 |
54450ca1 |
54450.x |
54450ca |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$4.239248870$ |
$1$ |
|
$2$ |
$456192$ |
$1.872458$ |
$24167/16$ |
$0.94416$ |
$4.17460$ |
$[1, -1, 0, 81108, 3354016]$ |
\(y^2+xy=x^3-x^2+81108x+3354016\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.1, 24.16.0.b.1, $\ldots$ |
$[(188, 4928)]$ |
54450.y1 |
54450bj1 |
54450.y |
54450bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{13} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$22708224$ |
$3.765221$ |
$129392980254539/3583180800$ |
$1.02654$ |
$6.44869$ |
$[1, -1, 0, -315565542, 2105479112116]$ |
\(y^2+xy=x^3-x^2-315565542x+2105479112116\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
54450.y2 |
54450bj2 |
54450.y |
54450bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{20} \cdot 5^{10} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$45416448$ |
$4.111794$ |
$1281177907381/765275040000$ |
$1.11234$ |
$6.66175$ |
$[1, -1, 0, 67762458, 6894395816116]$ |
\(y^2+xy=x^3-x^2+67762458x+6894395816116\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
54450.z1 |
54450d2 |
54450.z |
54450d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{14} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$23.79917162$ |
$1$ |
|
$0$ |
$12165120$ |
$3.583858$ |
$685429074513/12500000$ |
$1.12726$ |
$6.27036$ |
$[1, -1, 0, -165029442, -802998662284]$ |
\(y^2+xy=x^3-x^2-165029442x-802998662284\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[(-25527226903/1943, 470908353945863/1943)]$ |
54450.z2 |
54450d1 |
54450.z |
54450d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$11.89958581$ |
$1$ |
|
$1$ |
$6082560$ |
$3.237286$ |
$1469878353/640000$ |
$1.15290$ |
$5.70687$ |
$[1, -1, 0, -21281442, 18808653716]$ |
\(y^2+xy=x^3-x^2-21281442x+18808653716\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[(-443852/29, 4223200382/29)]$ |
54450.ba1 |
54450de2 |
54450.ba |
54450de |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{16} \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5760000$ |
$3.010788$ |
$-854307420745/20785248$ |
$0.97647$ |
$5.62761$ |
$[1, -1, 0, -15736617, 24531690541]$ |
\(y^2+xy=x^3-x^2-15736617x+24531690541\) |
5.12.0.a.1, 88.2.0.?, 120.24.0.?, 165.24.0.?, 440.24.1.?, $\ldots$ |
$[]$ |
54450.ba2 |
54450de1 |
54450.ba |
54450de |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152000$ |
$2.206070$ |
$341297975/2898918$ |
$0.99674$ |
$4.55577$ |
$[1, -1, 0, 135558, -71079134]$ |
\(y^2+xy=x^3-x^2+135558x-71079134\) |
5.12.0.a.2, 88.2.0.?, 120.24.0.?, 165.24.0.?, 440.24.1.?, $\ldots$ |
$[]$ |
54450.bb1 |
54450ct1 |
54450.bb |
54450ct |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.555235587$ |
$1$ |
|
$4$ |
$322560$ |
$1.780657$ |
$-10461203195/162$ |
$0.99062$ |
$4.56045$ |
$[1, -1, 0, -329742, 72963666]$ |
\(y^2+xy=x^3-x^2-329742x+72963666\) |
88.2.0.? |
$[(333, -117)]$ |
54450.bc1 |
54450bi1 |
54450.bc |
54450bi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$709632$ |
$2.174885$ |
$-10461203195/162$ |
$0.99062$ |
$4.99426$ |
$[1, -1, 0, -1595952, -775640354]$ |
\(y^2+xy=x^3-x^2-1595952x-775640354\) |
88.2.0.? |
$[]$ |
54450.bd1 |
54450by1 |
54450.bd |
54450by |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{10} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.194245376$ |
$1$ |
|
$2$ |
$1612800$ |
$2.557060$ |
$-390625/12672$ |
$1.18660$ |
$4.95120$ |
$[1, -1, 0, -354492, 613726416]$ |
\(y^2+xy=x^3-x^2-354492x+613726416\) |
88.2.0.? |
$[(-525, 25854)]$ |
54450.be1 |
54450df2 |
54450.be |
54450df |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1320$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$243000$ |
$1.571461$ |
$-349938025/8$ |
$1.05078$ |
$4.31820$ |
$[1, -1, 0, -136692, -19418184]$ |
\(y^2+xy=x^3-x^2-136692x-19418184\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
54450.be2 |
54450df3 |
54450.be |
54450df |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1320$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$405000$ |
$1.826874$ |
$-121945/32$ |
$0.94334$ |
$4.21271$ |
$[1, -1, 0, -82242, 10964916]$ |
\(y^2+xy=x^3-x^2-82242x+10964916\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
54450.be3 |
54450df1 |
54450.be |
54450df |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1320$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$81000$ |
$1.022154$ |
$-25/2$ |
$1.09044$ |
$3.26197$ |
$[1, -1, 0, -567, -61209]$ |
\(y^2+xy=x^3-x^2-567x-61209\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
54450.be4 |
54450df4 |
54450.be |
54450df |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1320$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1215000$ |
$2.376179$ |
$46969655/32768$ |
$1.06296$ |
$4.72438$ |
$[1, -1, 0, 598383, -80919459]$ |
\(y^2+xy=x^3-x^2+598383x-80919459\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[]$ |