| 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 |
| 54720.a1 |
54720bb1 |
54720.a |
54720bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{29} \cdot 3^{6} \cdot 5^{2} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$5.367632387$ |
$1$ |
|
$10$ |
$236544$ |
$1.484249$ |
$-11993263569/972800$ |
$0.93850$ |
$3.88700$ |
$[0, 0, 0, -27468, -1870992]$ |
\(y^2=x^3-27468x-1870992\) |
152.2.0.? |
$[(334, 5120), (244, 2440)]$ |
| 54720.b1 |
54720cv2 |
54720.b |
54720cv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.525291$ |
$438512454/225625$ |
$0.91406$ |
$3.81026$ |
$[0, 0, 0, -21708, -409968]$ |
\(y^2=x^3-21708x-409968\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[]$ |
| 54720.b2 |
54720cv1 |
54720.b |
54720cv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.178719$ |
$450714348/475$ |
$0.84928$ |
$3.74925$ |
$[0, 0, 0, -17388, -881712]$ |
\(y^2=x^3-17388x-881712\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 54720.c1 |
54720dr4 |
54720.c |
54720dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{25} \cdot 3^{26} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$35.32431695$ |
$1$ |
|
$1$ |
$13762560$ |
$3.662434$ |
$207530301091125281552569/805586668007040$ |
$1.05095$ |
$6.66893$ |
$[0, 0, 0, -710463468, -7288854554288]$ |
\(y^2=x^3-710463468x-7288854554288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ |
$[(-23172656388827451/1226669, 8011946830014651937657/1226669)]$ |
| 54720.c2 |
54720dr3 |
54720.c |
54720dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{25} \cdot 3^{11} \cdot 5^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$8.831079238$ |
$1$ |
|
$1$ |
$13762560$ |
$3.662434$ |
$1412712966892699019449/330160465517040000$ |
$1.04349$ |
$6.21157$ |
$[0, 0, 0, -134647788, 464329726288]$ |
\(y^2=x^3-134647788x+464329726288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[(1081946/17, 553939200/17)]$ |
| 54720.c3 |
54720dr2 |
54720.c |
54720dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{32} \cdot 3^{16} \cdot 5^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$17.66215847$ |
$1$ |
|
$3$ |
$6881280$ |
$3.315861$ |
$52974743974734147769/3152005008998400$ |
$1.02895$ |
$5.91061$ |
$[0, 0, 0, -45068268, -110304978608]$ |
\(y^2=x^3-45068268x-110304978608\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 24.24.0-24.b.1.2, $\ldots$ |
$[(4278544208/163, 279615072035484/163)]$ |
| 54720.c4 |
54720dr1 |
54720.c |
54720dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{46} \cdot 3^{11} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$8.831079238$ |
$1$ |
|
$3$ |
$3440640$ |
$2.969288$ |
$5495662324535111/117739817533440$ |
$1.03950$ |
$5.39828$ |
$[0, 0, 0, 2117652, -7118808752]$ |
\(y^2=x^3+2117652x-7118808752\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 30.6.0.a.1, $\ldots$ |
$[(160976, 64589076)]$ |
| 54720.d1 |
54720ba2 |
54720.d |
54720ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.406351673$ |
$1$ |
|
$23$ |
$98304$ |
$1.013294$ |
$192143824/106875$ |
$0.89049$ |
$3.24194$ |
$[0, 0, 0, -2748, 10928]$ |
\(y^2=x^3-2748x+10928\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(-14, 216), (58, 216)]$ |
| 54720.d2 |
54720ba1 |
54720.d |
54720ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.406351673$ |
$1$ |
|
$19$ |
$49152$ |
$0.666721$ |
$44957696/27075$ |
$1.24370$ |
$2.85467$ |
$[0, 0, 0, 672, 1352]$ |
\(y^2=x^3+672x+1352\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(1, 45), (46, 360)]$ |
| 54720.e1 |
54720cy2 |
54720.e |
54720cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$5.778974328$ |
$1$ |
|
$3$ |
$184320$ |
$1.443426$ |
$901428696/296875$ |
$0.92777$ |
$3.74925$ |
$[0, 0, 0, -17388, -579312]$ |
\(y^2=x^3-17388x-579312\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(253, 3349)]$ |
| 54720.e2 |
54720cy1 |
54720.e |
54720cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$2.889487164$ |
$1$ |
|
$5$ |
$92160$ |
$1.096853$ |
$42144192/45125$ |
$1.10339$ |
$3.27790$ |
$[0, 0, 0, 3132, -62208]$ |
\(y^2=x^3+3132x-62208\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(37, 323)]$ |
| 54720.f1 |
54720g2 |
54720.f |
54720g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{23} \cdot 3^{3} \cdot 5^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.444727$ |
$651038076963/7220000$ |
$1.04112$ |
$3.93899$ |
$[0, 0, 0, -34668, 2460592]$ |
\(y^2=x^3-34668x+2460592\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[]$ |
| 54720.f2 |
54720g1 |
54720.f |
54720g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{28} \cdot 3^{3} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.098154$ |
$961504803/486400$ |
$0.92981$ |
$3.34157$ |
$[0, 0, 0, -3948, -33872]$ |
\(y^2=x^3-3948x-33872\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
| 54720.g1 |
54720e2 |
54720.g |
54720e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.955453939$ |
$1$ |
|
$21$ |
$139264$ |
$1.210905$ |
$12316788514584/9025$ |
$0.95676$ |
$4.01788$ |
$[0, 0, 0, -46188, 3820688]$ |
\(y^2=x^3-46188x+3820688\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(128, 76), (122, 40)]$ |
| 54720.g2 |
54720e1 |
54720.g |
54720e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.955453939$ |
$1$ |
|
$17$ |
$69632$ |
$0.864331$ |
$-23590516032/651605$ |
$0.90189$ |
$3.25796$ |
$[0, 0, 0, -2868, 60512]$ |
\(y^2=x^3-2868x+60512\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(14, 152), (-43, 323)]$ |
| 54720.h1 |
54720z2 |
54720.h |
54720z |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{18} \cdot 3^{16} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.707670$ |
$48587168449/28048275$ |
$1.03180$ |
$4.00321$ |
$[0, 0, 0, -43788, 175088]$ |
\(y^2=x^3-43788x+175088\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 54720.h2 |
54720z1 |
54720.h |
54720z |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{18} \cdot 3^{11} \cdot 5 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$1.361095$ |
$756058031/438615$ |
$1.00322$ |
$3.62163$ |
$[0, 0, 0, 10932, 21872]$ |
\(y^2=x^3+10932x+21872\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 54720.i1 |
54720ed4 |
54720.i |
54720ed |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{18} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$26542080$ |
$3.855385$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$6.39963$ |
$[0, 0, 0, -266821068, 1071201902992]$ |
\(y^2=x^3-266821068x+1071201902992\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.t.1, $\ldots$ |
$[]$ |
| 54720.i2 |
54720ed2 |
54720.i |
54720ed |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$3.306080$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$6.36939$ |
$[0, 0, 0, -239034828, 1422459292048]$ |
\(y^2=x^3-239034828x+1422459292048\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.t.1, $\ldots$ |
$[]$ |
| 54720.i3 |
54720ed1 |
54720.i |
54720ed |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{42} \cdot 3^{9} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.959507$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$5.60797$ |
$[0, 0, 0, -14901708, 22344518032]$ |
\(y^2=x^3-14901708x+22344518032\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 54720.i4 |
54720ed3 |
54720.i |
54720ed |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{9} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$3.508812$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$5.93496$ |
$[0, 0, 0, 49241652, 116313213328]$ |
\(y^2=x^3+49241652x+116313213328\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 54720.j1 |
54720x2 |
54720.j |
54720x |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.787189025$ |
$1$ |
|
$23$ |
$81920$ |
$1.071972$ |
$48275138/27075$ |
$1.06650$ |
$3.30593$ |
$[0, 0, 0, -3468, 13808]$ |
\(y^2=x^3-3468x+13808\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(-2, 144), (94, 720)]$ |
| 54720.j2 |
54720x1 |
54720.j |
54720x |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5 \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$3.148756100$ |
$1$ |
|
$13$ |
$40960$ |
$0.725399$ |
$1431644/855$ |
$0.83891$ |
$2.91993$ |
$[0, 0, 0, 852, 1712]$ |
\(y^2=x^3+852x+1712\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(4, 72), (14, 128)]$ |
| 54720.k1 |
54720y2 |
54720.k |
54720y |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.820070570$ |
$1$ |
|
$25$ |
$49152$ |
$0.790719$ |
$472058064/475$ |
$0.91565$ |
$3.32433$ |
$[0, 0, 0, -3708, 86832]$ |
\(y^2=x^3-3708x+86832\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(42, 72), (34, 8)]$ |
| 54720.k2 |
54720y1 |
54720.k |
54720y |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$3.280282282$ |
$1$ |
|
$9$ |
$24576$ |
$0.444146$ |
$3538944/1805$ |
$1.20155$ |
$2.62168$ |
$[0, 0, 0, -288, 648]$ |
\(y^2=x^3-288x+648\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(1, 19), (-14, 44)]$ |
| 54720.l1 |
54720d2 |
54720.l |
54720d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$2.425724$ |
$159936580505574/3525390625$ |
$0.98486$ |
$4.98413$ |
$[0, 0, 0, -1550988, -729168912]$ |
\(y^2=x^3-1550988x-729168912\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 54720.l2 |
54720d1 |
54720.l |
54720d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{5} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$614400$ |
$2.079151$ |
$53248212/407253125$ |
$1.08044$ |
$4.42324$ |
$[0, 0, 0, 8532, -34870608]$ |
\(y^2=x^3+8532x-34870608\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
| 54720.m1 |
54720bj2 |
54720.m |
54720bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$2.467067742$ |
$1$ |
|
$5$ |
$196608$ |
$1.599367$ |
$90458382169/2671875$ |
$1.09032$ |
$4.06018$ |
$[0, 0, 0, -53868, 4687792]$ |
\(y^2=x^3-53868x+4687792\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[(152, 108)]$ |
| 54720.m2 |
54720bj1 |
54720.m |
54720bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1.233533871$ |
$1$ |
|
$7$ |
$98304$ |
$1.252792$ |
$357911/135375$ |
$0.95197$ |
$3.51397$ |
$[0, 0, 0, 852, 244528]$ |
\(y^2=x^3+852x+244528\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[(38, 576)]$ |
| 54720.n1 |
54720bk1 |
54720.n |
54720bk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$2.023807732$ |
$1$ |
|
$3$ |
$16384$ |
$0.298406$ |
$14526784/4275$ |
$0.79185$ |
$2.49698$ |
$[0, 0, 0, -183, -668]$ |
\(y^2=x^3-183x-668\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[(32, 162)]$ |
| 54720.n2 |
54720bk2 |
54720.n |
54720bk |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1.011903866$ |
$1$ |
|
$5$ |
$32768$ |
$0.644979$ |
$4410944/5415$ |
$0.79319$ |
$2.77943$ |
$[0, 0, 0, 492, -4448]$ |
\(y^2=x^3+492x-4448\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[(14, 72)]$ |
| 54720.o1 |
54720do1 |
54720.o |
54720do |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{5} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2280$ |
$48$ |
$0$ |
$3.709257021$ |
$1$ |
|
$5$ |
$184320$ |
$1.524254$ |
$5405726654464/407253125$ |
$0.99078$ |
$3.92683$ |
$[0, 0, 0, -33168, 2168408]$ |
\(y^2=x^3-33168x+2168408\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.24.0.e.1, 456.12.0.?, $\ldots$ |
$[(73, 369)]$ |
| 54720.o2 |
54720do2 |
54720.o |
54720do |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2280$ |
$48$ |
$0$ |
$1.854628510$ |
$1$ |
|
$7$ |
$368640$ |
$1.870827$ |
$298091207216/3525390625$ |
$0.96838$ |
$4.18731$ |
$[0, 0, 0, 31812, 9628112]$ |
\(y^2=x^3+31812x+9628112\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.bc.1, 228.12.0.?, $\ldots$ |
$[(-146, 1368)]$ |
| 54720.p1 |
54720dn2 |
54720.p |
54720dn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{12} \cdot 3^{8} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$3.538641029$ |
$1$ |
|
$3$ |
$32768$ |
$0.824458$ |
$504358336/16245$ |
$0.90894$ |
$3.20333$ |
$[0, 0, 0, -2388, -43648]$ |
\(y^2=x^3-2388x-43648\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(272, 4408)]$ |
| 54720.p2 |
54720dn1 |
54720.p |
54720dn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.769320514$ |
$1$ |
|
$3$ |
$16384$ |
$0.477885$ |
$113379904/38475$ |
$1.07238$ |
$2.68532$ |
$[0, 0, 0, -363, 1712]$ |
\(y^2=x^3-363x+1712\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(4, 18)]$ |
| 54720.q1 |
54720bh2 |
54720.q |
54720bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.387587043$ |
$1$ |
|
$5$ |
$73728$ |
$1.198418$ |
$3638052872/243675$ |
$0.87066$ |
$3.57504$ |
$[0, 0, 0, -9228, -320848]$ |
\(y^2=x^3-9228x-320848\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(-59, 135)]$ |
| 54720.q2 |
54720bh1 |
54720.q |
54720bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$2.775174086$ |
$1$ |
|
$3$ |
$36864$ |
$0.851844$ |
$4410944/69255$ |
$0.87164$ |
$3.06803$ |
$[0, 0, 0, 492, -21472]$ |
\(y^2=x^3+492x-21472\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(118, 1296)]$ |
| 54720.r1 |
54720eb4 |
54720.r |
54720eb |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{6} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.228935$ |
$21804712949838544/8680921875$ |
$1.06178$ |
$4.94195$ |
$[0, 0, 0, -1330428, -590453552]$ |
\(y^2=x^3-1330428x-590453552\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.6, $\ldots$ |
$[]$ |
| 54720.r2 |
54720eb3 |
54720.r |
54720eb |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.882362$ |
$130287139815424/52926616125$ |
$1.20302$ |
$4.21851$ |
$[0, 0, 0, -95808, -6231368]$ |
\(y^2=x^3-95808x-6231368\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.6, $\ldots$ |
$[]$ |
| 54720.r3 |
54720eb2 |
54720.r |
54720eb |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{18} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.679630$ |
$985329269584/252434475$ |
$0.92851$ |
$4.02493$ |
$[0, 0, 0, -47388, 2964112]$ |
\(y^2=x^3-47388x+2964112\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.14, $\ldots$ |
$[]$ |
| 54720.r4 |
54720eb1 |
54720.r |
54720eb |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{12} \cdot 5 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.333057$ |
$12592337649664/1315845$ |
$1.04936$ |
$4.00434$ |
$[0, 0, 0, -43968, 3548248]$ |
\(y^2=x^3-43968x+3548248\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.14, $\ldots$ |
$[]$ |
| 54720.s1 |
54720bi2 |
54720.s |
54720bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.183929847$ |
$1$ |
|
$7$ |
$49152$ |
$0.992400$ |
$680136784/38475$ |
$0.83916$ |
$3.35780$ |
$[0, 0, 0, -4188, -99088]$ |
\(y^2=x^3-4188x-99088\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(-38, 72)]$ |
| 54720.s2 |
54720bi1 |
54720.s |
54720bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.367859695$ |
$1$ |
|
$5$ |
$24576$ |
$0.645827$ |
$67108864/16245$ |
$1.06587$ |
$2.89139$ |
$[0, 0, 0, -768, 6248]$ |
\(y^2=x^3-768x+6248\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(41, 209)]$ |
| 54720.t1 |
54720u1 |
54720.t |
54720u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.485941$ |
$1302313788921664/125005275$ |
$0.98252$ |
$4.17539$ |
$[0, 0, 0, -81903, -9021148]$ |
\(y^2=x^3-81903x-9021148\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 54720.t2 |
54720u2 |
54720.t |
54720u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.832514$ |
$-16148234224576/6351193935$ |
$0.96338$ |
$4.20173$ |
$[0, 0, 0, -75828, -10415968]$ |
\(y^2=x^3-75828x-10415968\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
| 54720.u1 |
54720b2 |
54720.u |
54720b |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{23} \cdot 3^{3} \cdot 5^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.689518294$ |
$1$ |
|
$3$ |
$245760$ |
$1.551025$ |
$260549802603/104256800$ |
$1.06336$ |
$3.85505$ |
$[0, 0, 0, -25548, 873072]$ |
\(y^2=x^3-25548x+873072\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(-18, 1152)]$ |
| 54720.u2 |
54720b1 |
54720.u |
54720b |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{28} \cdot 3^{3} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$3.379036589$ |
$1$ |
|
$3$ |
$122880$ |
$1.204451$ |
$2161700757/1848320$ |
$1.04165$ |
$3.41583$ |
$[0, 0, 0, 5172, 98928]$ |
\(y^2=x^3+5172x+98928\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(36, 576)]$ |
| 54720.v1 |
54720ec2 |
54720.v |
54720ec |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{19} \cdot 3^{13} \cdot 5^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$2.557098$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$5.57782$ |
$[0, 0, 0, -13435788, -18955830512]$ |
\(y^2=x^3-13435788x-18955830512\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[]$ |
| 54720.v2 |
54720ec1 |
54720.v |
54720ec |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{20} \cdot 3^{20} \cdot 5 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$2.210522$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$4.81591$ |
$[0, 0, 0, -838668, -296976368]$ |
\(y^2=x^3-838668x-296976368\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
| 54720.w1 |
54720v2 |
54720.w |
54720v |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.874659$ |
$18148802937424/1947796875$ |
$0.94495$ |
$4.29197$ |
$[0, 0, 0, -125148, -15379472]$ |
\(y^2=x^3-125148x-15379472\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[]$ |
