| 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 |
| 5550.a1 |
5550h1 |
5550.a |
5550h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$0.091728076$ |
$1$ |
|
$26$ |
$1632$ |
$-0.066467$ |
$-76215625/1332$ |
$0.93374$ |
$2.85524$ |
$[1, 1, 0, -75, 225]$ |
\(y^2+xy=x^3+x^2-75x+225\) |
148.2.0.? |
$[(0, 15), (4, 1)]$ |
| 5550.b1 |
5550d2 |
5550.b |
5550d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2 \cdot 3^{2} \cdot 5^{7} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.327221625$ |
$1$ |
|
$8$ |
$3840$ |
$0.607092$ |
$14688124849/123210$ |
$0.88296$ |
$3.83538$ |
$[1, 1, 0, -1275, 16875]$ |
\(y^2+xy=x^3+x^2-1275x+16875\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(15, 30)]$ |
| 5550.b2 |
5550d1 |
5550.b |
5550d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{2} \cdot 3 \cdot 5^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.654443251$ |
$1$ |
|
$9$ |
$1920$ |
$0.260519$ |
$-117649/11100$ |
$0.96712$ |
$3.06582$ |
$[1, 1, 0, -25, 625]$ |
\(y^2+xy=x^3+x^2-25x+625\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(0, 25)]$ |
| 5550.c1 |
5550l2 |
5550.c |
5550l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$0.821755010$ |
$1$ |
|
$6$ |
$2560$ |
$0.491541$ |
$43206601229/17964018$ |
$1.20254$ |
$3.40050$ |
$[1, 1, 0, -365, 1275]$ |
\(y^2+xy=x^3+x^2-365x+1275\) |
2.3.0.a.1, 40.6.0.b.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[(-1, 41)]$ |
| 5550.c2 |
5550l1 |
5550.c |
5550l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$0.410877505$ |
$1$ |
|
$9$ |
$1280$ |
$0.144968$ |
$27790593389/11988$ |
$1.04429$ |
$3.34931$ |
$[1, 1, 0, -315, 2025]$ |
\(y^2+xy=x^3+x^2-315x+2025\) |
2.3.0.a.1, 40.6.0.c.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[(9, 0)]$ |
| 5550.d1 |
5550k1 |
5550.d |
5550k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.761483937$ |
$1$ |
|
$4$ |
$5760$ |
$0.893340$ |
$-175362106452317/131292576$ |
$0.97792$ |
$4.36435$ |
$[1, 1, 0, -5830, -173900]$ |
\(y^2+xy=x^3+x^2-5830x-173900\) |
1480.2.0.? |
$[(115, 775)]$ |
| 5550.e1 |
5550j1 |
5550.e |
5550j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$4.382266412$ |
$1$ |
|
$2$ |
$10800$ |
$1.211294$ |
$75988526665/32735232$ |
$0.93934$ |
$4.39936$ |
$[1, 1, 0, -6450, -103500]$ |
\(y^2+xy=x^3+x^2-6450x-103500\) |
888.2.0.? |
$[(-31, 276)]$ |
| 5550.f1 |
5550f1 |
5550.f |
5550f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21840$ |
$1.268192$ |
$30727911305065/161838$ |
$0.95983$ |
$5.09557$ |
$[1, 1, 0, -47700, -4029750]$ |
\(y^2+xy=x^3+x^2-47700x-4029750\) |
888.2.0.? |
$[]$ |
| 5550.g1 |
5550b2 |
5550.g |
5550b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{15} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$31.55409929$ |
$1$ |
|
$0$ |
$570240$ |
$3.219452$ |
$-44164307457093068844199489/1823508000000000$ |
$1.05033$ |
$7.96917$ |
$[1, 1, 0, -184100900, -961538430000]$ |
\(y^2+xy=x^3+x^2-184100900x-961538430000\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 888.8.0.?, 1480.2.0.?, 4440.16.0.? |
$[(434281698354275/21271, 9044659416548768586200/21271)]$ |
| 5550.g2 |
5550b1 |
5550.g |
5550b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{33} \cdot 3^{6} \cdot 5^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$10.51803309$ |
$1$ |
|
$2$ |
$190080$ |
$2.670147$ |
$-64144540676215729729/28962038218752000$ |
$1.01937$ |
$6.47691$ |
$[1, 1, 0, -2084900, -1546878000]$ |
\(y^2+xy=x^3+x^2-2084900x-1546878000\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 888.8.0.?, 1480.2.0.?, 4440.16.0.? |
$[(959795, 939822440)]$ |
| 5550.h1 |
5550a2 |
5550.h |
5550a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2 \cdot 3 \cdot 5^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$4.332160381$ |
$1$ |
|
$2$ |
$5184$ |
$0.784092$ |
$-358667682625/303918$ |
$1.03817$ |
$4.20617$ |
$[1, 1, 0, -3700, -88250]$ |
\(y^2+xy=x^3+x^2-3700x-88250\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 888.8.0.?, 4440.16.0.? |
$[(345, 6140)]$ |
| 5550.h2 |
5550a1 |
5550.h |
5550a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1.444053460$ |
$1$ |
|
$2$ |
$1728$ |
$0.234786$ |
$857375/7992$ |
$0.90609$ |
$3.01958$ |
$[1, 1, 0, 50, -500]$ |
\(y^2+xy=x^3+x^2+50x-500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 888.8.0.?, 4440.16.0.? |
$[(15, 55)]$ |
| 5550.i1 |
5550c1 |
5550.i |
5550c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$2.163397809$ |
$1$ |
|
$4$ |
$1680$ |
$0.271884$ |
$78218787505/2589408$ |
$0.91715$ |
$3.28266$ |
$[1, 1, 0, -260, -1680]$ |
\(y^2+xy=x^3+x^2-260x-1680\) |
888.2.0.? |
$[(-11, 6)]$ |
| 5550.j1 |
5550g2 |
5550.j |
5550g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{3} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.951717$ |
$589429221475670903501/552712568832$ |
$1.03829$ |
$6.10725$ |
$[1, 1, 0, -873385, 313800325]$ |
\(y^2+xy=x^3+x^2-873385x+313800325\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 5550.j2 |
5550g1 |
5550.j |
5550g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{30} \cdot 3 \cdot 5^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40320$ |
$1.605143$ |
$-140754878313089741/4409857671168$ |
$1.01022$ |
$5.14604$ |
$[1, 1, 0, -54185, 4961925]$ |
\(y^2+xy=x^3+x^2-54185x+4961925\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[]$ |
| 5550.k1 |
5550e1 |
5550.k |
5550e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.242426$ |
$-2454365649169/1035763200$ |
$0.93614$ |
$4.49260$ |
$[1, 1, 0, -7025, 295125]$ |
\(y^2+xy=x^3+x^2-7025x+295125\) |
888.2.0.? |
$[]$ |
| 5550.l1 |
5550i1 |
5550.l |
5550i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{9} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.441008$ |
$-5423945093/124291584$ |
$0.97682$ |
$4.70945$ |
$[1, 1, 0, -4575, 757125]$ |
\(y^2+xy=x^3+x^2-4575x+757125\) |
1480.2.0.? |
$[]$ |
| 5550.m1 |
5550n1 |
5550.m |
5550n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$1.054041$ |
$-71581931663761/199800$ |
$0.94955$ |
$4.82030$ |
$[1, 0, 1, -21626, -1225852]$ |
\(y^2+xy+y=x^3-21626x-1225852\) |
888.2.0.? |
$[]$ |
| 5550.n1 |
5550q1 |
5550.n |
5550q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2 \cdot 3^{11} \cdot 5^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.195477650$ |
$1$ |
|
$8$ |
$6336$ |
$0.850652$ |
$541343375/13108878$ |
$0.99284$ |
$3.88282$ |
$[1, 0, 1, 424, 21548]$ |
\(y^2+xy+y=x^3+424x+21548\) |
888.2.0.? |
$[(42, 316)]$ |
| 5550.o1 |
5550r1 |
5550.o |
5550r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3 \cdot 5^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.659913204$ |
$1$ |
|
$2$ |
$2160$ |
$0.378001$ |
$9765625/888$ |
$1.07483$ |
$3.36017$ |
$[1, 0, 1, -326, 2048]$ |
\(y^2+xy+y=x^3-326x+2048\) |
888.2.0.? |
$[(2, 36)]$ |
| 5550.p1 |
5550u2 |
5550.p |
5550u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.098053$ |
$13498272341/887112$ |
$0.91169$ |
$4.38561$ |
$[1, 0, 1, -6201, -177452]$ |
\(y^2+xy+y=x^3-6201x-177452\) |
2.3.0.a.1, 40.6.0.b.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[]$ |
| 5550.p2 |
5550u1 |
5550.p |
5550u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.751479$ |
$97972181/21312$ |
$0.86365$ |
$3.81429$ |
$[1, 0, 1, -1201, 12548]$ |
\(y^2+xy+y=x^3-1201x+12548\) |
2.3.0.a.1, 40.6.0.c.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[]$ |
| 5550.q1 |
5550o2 |
5550.q |
5550o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.971358053$ |
$1$ |
|
$6$ |
$57600$ |
$1.989706$ |
$1045706191321645729/323352324000$ |
$0.99768$ |
$5.93256$ |
$[1, 0, 1, -528651, -147949802]$ |
\(y^2+xy+y=x^3-528651x-147949802\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(-418, 21)]$ |
| 5550.q2 |
5550o1 |
5550.q |
5550o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1.942716106$ |
$1$ |
|
$5$ |
$28800$ |
$1.643133$ |
$-166456688365729/143856000000$ |
$0.96842$ |
$5.02416$ |
$[1, 0, 1, -28651, -2949802]$ |
\(y^2+xy+y=x^3-28651x-2949802\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(367, 5816)]$ |
| 5550.r1 |
5550m4 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{14} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$2.411537$ |
$4385367890843575421521/24975000000$ |
$1.09028$ |
$6.90005$ |
$[1, 0, 1, -8525126, 9580034648]$ |
\(y^2+xy+y=x^3-8525126x+9580034648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 5550.r2 |
5550m5 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{24} \cdot 5^{7} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$2.758110$ |
$3080272010107543650001/15465841417699560$ |
$1.06879$ |
$6.85908$ |
$[1, 0, 1, -7578126, -7995265352]$ |
\(y^2+xy+y=x^3-7578126x-7995265352\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 20.12.0-4.c.1.1, 40.48.0-40.bp.1.6, $\ldots$ |
$[]$ |
| 5550.r3 |
5550m3 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$4440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$165888$ |
$2.411537$ |
$2788936974993502801/1593609593601600$ |
$1.18942$ |
$6.04634$ |
$[1, 0, 1, -733126, 27074648]$ |
\(y^2+xy+y=x^3-733126x+27074648\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 20.24.0-4.b.1.1, 24.48.0-24.h.2.30, $\ldots$ |
$[]$ |
| 5550.r4 |
5550m2 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$4440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$82944$ |
$2.064964$ |
$1072487167529950801/2554882560000$ |
$1.07073$ |
$5.93549$ |
$[1, 0, 1, -533126, 149474648]$ |
\(y^2+xy+y=x^3-533126x+149474648\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 20.24.0-4.b.1.3, 24.48.0-24.h.1.19, $\ldots$ |
$[]$ |
| 5550.r5 |
5550m1 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$41472$ |
$1.718391$ |
$-66730743078481/419010969600$ |
$0.98647$ |
$5.09893$ |
$[1, 0, 1, -21126, 4066648]$ |
\(y^2+xy+y=x^3-21126x+4066648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 5550.r6 |
5550m6 |
5550.r |
5550m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{7} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$331776$ |
$2.758110$ |
$174751791402194852399/102423900876336360$ |
$1.06750$ |
$6.52626$ |
$[1, 0, 1, 2911874, 216614648]$ |
\(y^2+xy+y=x^3+2911874x+216614648\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 20.12.0-4.c.1.1, 24.48.0-24.by.2.8, $\ldots$ |
$[]$ |
| 5550.s1 |
5550t2 |
5550.s |
5550t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{21} \cdot 3 \cdot 5^{4} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$888$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$27216$ |
$1.357243$ |
$62202232222815625/232783872$ |
$1.05786$ |
$5.23188$ |
$[1, 0, 1, -70576, -7222402]$ |
\(y^2+xy+y=x^3-70576x-7222402\) |
3.8.0-3.a.1.1, 888.16.0.? |
$[]$ |
| 5550.s2 |
5550t1 |
5550.s |
5550t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{4} \cdot 37^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9072$ |
$0.807938$ |
$306163065625/175056768$ |
$1.09483$ |
$3.81429$ |
$[1, 0, 1, -1201, -1852]$ |
\(y^2+xy+y=x^3-1201x-1852\) |
3.8.0-3.a.1.2, 888.16.0.? |
$[]$ |
| 5550.t1 |
5550p1 |
5550.t |
5550p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.421892911$ |
$1$ |
|
$4$ |
$8064$ |
$0.884615$ |
$-243087455521/5328000$ |
$1.07121$ |
$4.16520$ |
$[1, 0, 1, -3251, 72398]$ |
\(y^2+xy+y=x^3-3251x+72398\) |
1480.2.0.? |
$[(12, 181)]$ |
| 5550.u1 |
5550s1 |
5550.u |
5550s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$0.391343428$ |
$1$ |
|
$4$ |
$64800$ |
$2.011707$ |
$137868581419655/572735619072$ |
$1.00032$ |
$5.48090$ |
$[1, 0, 1, 78674, -21105952]$ |
\(y^2+xy+y=x^3+78674x-21105952\) |
148.2.0.? |
$[(1477, 56861)]$ |
| 5550.v1 |
5550bb1 |
5550.v |
5550bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$0.347134401$ |
$1$ |
|
$6$ |
$12960$ |
$1.206987$ |
$137868581419655/572735619072$ |
$1.00032$ |
$4.36085$ |
$[1, 1, 1, 3147, -167589]$ |
\(y^2+xy+y=x^3+x^2+3147x-167589\) |
148.2.0.? |
$[(151, 1868)]$ |
| 5550.w1 |
5550bc3 |
5550.w |
5550bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{16} \cdot 5^{11} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1480$ |
$48$ |
$0$ |
$1.976417670$ |
$1$ |
|
$2$ |
$552960$ |
$3.007511$ |
$3639478711331685826729/2016912141902025000$ |
$1.06074$ |
$6.87843$ |
$[1, 1, 1, -8011463, -1800202219]$ |
\(y^2+xy+y=x^3+x^2-8011463x-1800202219\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 296.24.0.?, 1480.48.0.? |
$[(5105, 298072)]$ |
| 5550.w2 |
5550bc2 |
5550.w |
5550bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{16} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1480$ |
$48$ |
$0$ |
$3.952835341$ |
$1$ |
|
$6$ |
$276480$ |
$2.660938$ |
$825824067562227826729/5613755625000000$ |
$1.02166$ |
$6.70639$ |
$[1, 1, 1, -4886463, 4131047781]$ |
\(y^2+xy+y=x^3+x^2-4886463x+4131047781\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 296.24.0.?, 740.24.0.?, $\ldots$ |
$[(871, 22730)]$ |
| 5550.w3 |
5550bc1 |
5550.w |
5550bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{11} \cdot 37 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1480$ |
$48$ |
$0$ |
$1.976417670$ |
$1$ |
|
$9$ |
$138240$ |
$2.314362$ |
$821774646379511057449/38361600000$ |
$1.02151$ |
$6.70582$ |
$[1, 1, 1, -4878463, 4145335781]$ |
\(y^2+xy+y=x^3+x^2-4878463x+4145335781\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 296.24.0.?, 370.6.0.?, $\ldots$ |
$[(65, 61842)]$ |
| 5550.w4 |
5550bc4 |
5550.w |
5550bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{26} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1480$ |
$48$ |
$0$ |
$7.905670683$ |
$1$ |
|
$2$ |
$552960$ |
$3.007511$ |
$-47744008200656797609/2286529541015625000$ |
$1.05861$ |
$6.88935$ |
$[1, 1, 1, -1889463, 9148025781]$ |
\(y^2+xy+y=x^3+x^2-1889463x+9148025781\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 296.24.0.?, $\ldots$ |
$[(2721, 154080)]$ |
| 5550.x1 |
5550w2 |
5550.x |
5550w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{21} \cdot 3 \cdot 5^{10} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$136080$ |
$2.161961$ |
$62202232222815625/232783872$ |
$1.05786$ |
$6.35194$ |
$[1, 1, 1, -1764388, -902800219]$ |
\(y^2+xy+y=x^3+x^2-1764388x-902800219\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 888.8.0.?, 4440.16.0.? |
$[]$ |
| 5550.x2 |
5550w1 |
5550.x |
5550w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{10} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$45360$ |
$1.612656$ |
$306163065625/175056768$ |
$1.09483$ |
$4.93435$ |
$[1, 1, 1, -30013, -231469]$ |
\(y^2+xy+y=x^3+x^2-30013x-231469\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 888.8.0.?, 4440.16.0.? |
$[]$ |
| 5550.y1 |
5550z1 |
5550.y |
5550z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.084507161$ |
$1$ |
|
$12$ |
$51840$ |
$1.825310$ |
$-683565019129/1597684769280$ |
$1.04965$ |
$5.24397$ |
$[1, 1, 1, -4588, 7600781]$ |
\(y^2+xy+y=x^3+x^2-4588x+7600781\) |
1480.2.0.? |
$[(-25, 2787)]$ |
| 5550.z1 |
5550y1 |
5550.z |
5550y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{13} \cdot 3 \cdot 5^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.336900773$ |
$1$ |
|
$6$ |
$4160$ |
$0.627040$ |
$357911/909312$ |
$1.04554$ |
$3.57610$ |
$[1, 1, 1, 37, -5719]$ |
\(y^2+xy+y=x^3+x^2+37x-5719\) |
888.2.0.? |
$[(35, 182)]$ |
| 5550.ba1 |
5550v2 |
5550.ba |
5550v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{15} \cdot 3 \cdot 5^{12} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.770735$ |
$-39390416456458249/56832000000$ |
$0.98347$ |
$5.55253$ |
$[1, 1, 1, -177213, -28823469]$ |
\(y^2+xy+y=x^3+x^2-177213x-28823469\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 888.8.0.?, 4440.16.0.? |
$[]$ |
| 5550.ba2 |
5550v1 |
5550.ba |
5550v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$1.221430$ |
$223759095911/1094104800$ |
$0.94877$ |
$4.38420$ |
$[1, 1, 1, 3162, -185469]$ |
\(y^2+xy+y=x^3+x^2+3162x-185469\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 888.8.0.?, 4440.16.0.? |
$[]$ |
| 5550.bb1 |
5550ba1 |
5550.bb |
5550ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.456349344$ |
$1$ |
|
$4$ |
$432$ |
$-0.426718$ |
$9765625/888$ |
$1.07483$ |
$2.24011$ |
$[1, 1, 1, -13, 11]$ |
\(y^2+xy+y=x^3+x^2-13x+11\) |
888.2.0.? |
$[(1, 0)]$ |
| 5550.bc1 |
5550bd2 |
5550.bc |
5550bd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$0.720994420$ |
$1$ |
|
$6$ |
$3072$ |
$0.293334$ |
$13498272341/887112$ |
$0.91169$ |
$3.26555$ |
$[1, 1, 1, -248, -1519]$ |
\(y^2+xy+y=x^3+x^2-248x-1519\) |
2.3.0.a.1, 40.6.0.b.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[(-9, 13)]$ |
| 5550.bc2 |
5550bd1 |
5550.bc |
5550bd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$0.360497210$ |
$1$ |
|
$9$ |
$1536$ |
$-0.053240$ |
$97972181/21312$ |
$0.86365$ |
$2.69424$ |
$[1, 1, 1, -48, 81]$ |
\(y^2+xy+y=x^3+x^2-48x+81\) |
2.3.0.a.1, 40.6.0.c.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[(1, 5)]$ |
| 5550.bd1 |
5550x4 |
5550.bd |
5550x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$2.141861$ |
$127568139540190201/59114336463360$ |
$1.00920$ |
$5.68854$ |
$[1, 1, 1, -262188, -23175219]$ |
\(y^2+xy+y=x^3+x^2-262188x-23175219\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$ |
$[]$ |
| 5550.bd2 |
5550x2 |
5550.bd |
5550x |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.592556$ |
$16581570075765001/998001000$ |
$0.97935$ |
$5.45188$ |
$[1, 1, 1, -132813, 18573531]$ |
\(y^2+xy+y=x^3+x^2-132813x+18573531\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$ |
$[]$ |
