| 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 |
| 5520.a1 |
5520q3 |
5520.a |
5520q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$7.168011845$ |
$1$ |
|
$3$ |
$76800$ |
$1.979422$ |
$3026030815665395929/1364501953125$ |
$1.01324$ |
$5.90422$ |
$[0, -1, 0, -482136, -128644560]$ |
\(y^2=x^3-x^2-482136x-128644560\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 92.12.0.?, $\ldots$ |
$[(2194, 96798)]$ |
| 5520.a2 |
5520q4 |
5520.a |
5520q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$7.168011845$ |
$1$ |
|
$1$ |
$76800$ |
$1.979422$ |
$502552788401502649/10024505152875$ |
$1.00677$ |
$5.69585$ |
$[0, -1, 0, -265016, 51687216]$ |
\(y^2=x^3-x^2-265016x+51687216\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 92.12.0.?, $\ldots$ |
$[(3250/3, 46342/3)]$ |
| 5520.a3 |
5520q2 |
5520.a |
5520q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$3.584005922$ |
$1$ |
|
$7$ |
$38400$ |
$1.632847$ |
$1159246431432649/488076890625$ |
$0.99697$ |
$4.99114$ |
$[0, -1, 0, -35016, -1304784]$ |
\(y^2=x^3-x^2-35016x-1304784\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.2, 92.12.0.?, $\ldots$ |
$[(250, 2346)]$ |
| 5520.a4 |
5520q1 |
5520.a |
5520q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{3} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1.792002961$ |
$1$ |
|
$5$ |
$19200$ |
$1.286274$ |
$10519294081031/8500170375$ |
$0.97609$ |
$4.44538$ |
$[0, -1, 0, 7304, -153680]$ |
\(y^2=x^3-x^2+7304x-153680\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$ |
$[(66, 782)]$ |
| 5520.b1 |
5520p4 |
5520.b |
5520p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$2.522065720$ |
$1$ |
|
$7$ |
$10240$ |
$0.971469$ |
$7679186557489/20988075$ |
$0.94915$ |
$4.40886$ |
$[0, -1, 0, -6576, 206976]$ |
\(y^2=x^3-x^2-6576x+206976\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 184.24.0.?, 552.48.0.? |
$[(50, 26)]$ |
| 5520.b2 |
5520p3 |
5520.b |
5520p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 5^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$2.522065720$ |
$1$ |
|
$5$ |
$10240$ |
$0.971469$ |
$6117442271569/26953125$ |
$0.94767$ |
$4.38247$ |
$[0, -1, 0, -6096, -180480]$ |
\(y^2=x^3-x^2-6096x-180480\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[(-46, 22)]$ |
| 5520.b3 |
5520p2 |
5520.b |
5520p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$276$ |
$48$ |
$0$ |
$1.261032860$ |
$1$ |
|
$13$ |
$5120$ |
$0.624896$ |
$5168743489/2975625$ |
$0.99205$ |
$3.56119$ |
$[0, -1, 0, -576, 576]$ |
\(y^2=x^3-x^2-576x+576\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 92.24.0.?, 276.48.0.? |
$[(0, 24)]$ |
| 5520.b4 |
5520p1 |
5520.b |
5520p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$0.630516430$ |
$1$ |
|
$9$ |
$2560$ |
$0.278322$ |
$80062991/46575$ |
$0.95431$ |
$3.07749$ |
$[0, -1, 0, 144, 0]$ |
\(y^2=x^3-x^2+144x\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[(8, 40)]$ |
| 5520.c1 |
5520b1 |
5520.c |
5520b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.098748$ |
$-3525581824/9315$ |
$0.87105$ |
$3.19552$ |
$[0, -1, 0, -201, -1035]$ |
\(y^2=x^3-x^2-201x-1035\) |
230.2.0.? |
$[]$ |
| 5520.d1 |
5520l2 |
5520.d |
5520l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.357250$ |
$53706380371489/16171875000$ |
$1.03421$ |
$4.63460$ |
$[0, -1, 0, -12576, 380160]$ |
\(y^2=x^3-x^2-12576x+380160\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 5520.d2 |
5520l1 |
5520.d |
5520l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{18} \cdot 3 \cdot 5^{5} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$1.010675$ |
$265971760991/317400000$ |
$1.01836$ |
$4.02555$ |
$[0, -1, 0, 2144, 38656]$ |
\(y^2=x^3-x^2+2144x+38656\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 5520.e1 |
5520a4 |
5520.e |
5520a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 23^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$2.098572$ |
$544328872410114151778/14166950625$ |
$1.07423$ |
$6.42640$ |
$[0, -1, 0, -2160176, 1222750176]$ |
\(y^2=x^3-x^2-2160176x+1222750176\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 184.48.0.? |
$[]$ |
| 5520.e2 |
5520a3 |
5520.e |
5520a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$2.098572$ |
$497927680189263938/284271240234375$ |
$1.06072$ |
$5.61433$ |
$[0, -1, 0, -209696, -4219680]$ |
\(y^2=x^3-x^2-209696x-4219680\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 92.12.0.?, 184.48.0.? |
$[]$ |
| 5520.e3 |
5520a2 |
5520.e |
5520a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.751997$ |
$266763091319403556/1355769140625$ |
$0.99805$ |
$5.46145$ |
$[0, -1, 0, -135176, 19090176]$ |
\(y^2=x^3-x^2-135176x+19090176\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 92.24.0.?, 184.48.0.? |
$[]$ |
| 5520.e4 |
5520a1 |
5520.e |
5520a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 5^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.405424$ |
$-26752376766544/618796614375$ |
$1.00033$ |
$4.66284$ |
$[0, -1, 0, -3956, 614400]$ |
\(y^2=x^3-x^2-3956x+614400\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[]$ |
| 5520.f1 |
5520m3 |
5520.f |
5520m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{15} \cdot 3^{5} \cdot 5^{4} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.782288$ |
$133345896593725369/340006815000$ |
$1.00095$ |
$5.54187$ |
$[0, -1, 0, -170296, -26932880]$ |
\(y^2=x^3-x^2-170296x-26932880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[]$ |
| 5520.f2 |
5520m2 |
5520.f |
5520m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$23040$ |
$1.435715$ |
$87109155423289/49979073600$ |
$1.03862$ |
$4.69073$ |
$[0, -1, 0, -14776, -59024]$ |
\(y^2=x^3-x^2-14776x-59024\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 460.12.0.?, $\ldots$ |
$[]$ |
| 5520.f3 |
5520m1 |
5520.f |
5520m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{24} \cdot 3^{5} \cdot 5 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.089140$ |
$24310870577209/114462720$ |
$0.95668$ |
$4.54261$ |
$[0, -1, 0, -9656, 366960]$ |
\(y^2=x^3-x^2-9656x+366960\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ |
$[]$ |
| 5520.f4 |
5520m4 |
5520.f |
5520m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{15} \cdot 3^{20} \cdot 5 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$46080$ |
$1.782288$ |
$5495662324535111/3207841648920$ |
$1.05494$ |
$5.17175$ |
$[0, -1, 0, 58824, -530064]$ |
\(y^2=x^3-x^2+58824x-530064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 460.12.0.?, $\ldots$ |
$[]$ |
| 5520.g1 |
5520o2 |
5520.g |
5520o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$0.183634683$ |
$1$ |
|
$8$ |
$3456$ |
$0.643212$ |
$-1138621087744/13687875$ |
$0.98819$ |
$3.86793$ |
$[0, -1, 0, -1381, 20425]$ |
\(y^2=x^3-x^2-1381x+20425\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 230.2.0.?, 690.8.0.?, 1380.16.0.? |
$[(1, 138)]$ |
| 5520.g2 |
5520o1 |
5520.g |
5520o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$0.550904050$ |
$1$ |
|
$4$ |
$1152$ |
$0.093906$ |
$87228416/83835$ |
$0.92669$ |
$2.76565$ |
$[0, -1, 0, 59, 121]$ |
\(y^2=x^3-x^2+59x+121\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 230.2.0.?, 690.8.0.?, 1380.16.0.? |
$[(13, 54)]$ |
| 5520.h1 |
5520n1 |
5520.h |
5520n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$-0.042932$ |
$-262144/1035$ |
$0.88491$ |
$2.65217$ |
$[0, -1, 0, -21, -99]$ |
\(y^2=x^3-x^2-21x-99\) |
230.2.0.? |
$[]$ |
| 5520.i1 |
5520u3 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.43 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.846165$ |
$148809678420065817601/20700$ |
$1.02663$ |
$6.35633$ |
$[0, -1, 0, -1766400, -903022848]$ |
\(y^2=x^3-x^2-1766400x-903022848\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 24.48.0-24.by.1.11, $\ldots$ |
$[]$ |
| 5520.i2 |
5520u5 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{13} \cdot 3 \cdot 5^{4} \cdot 23^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.161 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$2.192738$ |
$1905890658841300321/293666194803750$ |
$1.01528$ |
$5.85057$ |
$[0, -1, 0, -413280, 87734400]$ |
\(y^2=x^3-x^2-413280x+87734400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 24.96.0-24.bl.2.5, 368.96.0.?, $\ldots$ |
$[]$ |
| 5520.i3 |
5520u4 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$552$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$36864$ |
$1.846165$ |
$39248884582600321/3935264062500$ |
$0.99808$ |
$5.39992$ |
$[0, -1, 0, -113280, -13305600]$ |
\(y^2=x^3-x^2-113280x-13305600\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 24.96.0-24.m.2.1, 184.96.0.?, $\ldots$ |
$[]$ |
| 5520.i4 |
5520u2 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.32 |
2Cs |
$552$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.499590$ |
$36330796409313601/428490000$ |
$0.99526$ |
$5.39096$ |
$[0, -1, 0, -110400, -14082048]$ |
\(y^2=x^3-x^2-110400x-14082048\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 24.96.0-24.r.2.7, 92.48.0.?, $\ldots$ |
$[]$ |
| 5520.i5 |
5520u1 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.176 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.153017$ |
$-8194759433281/965779200$ |
$0.95262$ |
$4.43791$ |
$[0, -1, 0, -6720, -230400]$ |
\(y^2=x^3-x^2-6720x-230400\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 46.6.0.a.1, 48.96.0-48.bp.1.15, $\ldots$ |
$[]$ |
| 5520.i6 |
5520u6 |
5520.i |
5520u |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{13} \cdot 3 \cdot 5^{16} \cdot 23^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.32 |
2B |
$1104$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$2.192738$ |
$75108181893694559/484313964843750$ |
$1.20385$ |
$5.74413$ |
$[0, -1, 0, 140640, -64699008]$ |
\(y^2=x^3-x^2+140640x-64699008\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 24.48.0-24.bn.1.5, $\ldots$ |
$[]$ |
| 5520.j1 |
5520r3 |
5520.j |
5520r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{14} \cdot 3 \cdot 5^{4} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$2.576609666$ |
$1$ |
|
$7$ |
$6144$ |
$1.033072$ |
$353108405631241/172500$ |
$0.97232$ |
$4.85317$ |
$[0, -1, 0, -23560, 1399792]$ |
\(y^2=x^3-x^2-23560x+1399792\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 138.6.0.?, 276.24.0.?, $\ldots$ |
$[(98, 150)]$ |
| 5520.j2 |
5520r2 |
5520.j |
5520r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1.288304833$ |
$1$ |
|
$9$ |
$3072$ |
$0.686497$ |
$87587538121/1904400$ |
$0.91574$ |
$3.88964$ |
$[0, -1, 0, -1480, 22000]$ |
\(y^2=x^3-x^2-1480x+22000\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 276.24.0.?, 1380.48.0.? |
$[(2, 138)]$ |
| 5520.j3 |
5520r1 |
5520.j |
5520r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{20} \cdot 3 \cdot 5 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$2.576609666$ |
$1$ |
|
$3$ |
$1536$ |
$0.339923$ |
$217081801/88320$ |
$0.87548$ |
$3.19326$ |
$[0, -1, 0, -200, -528]$ |
\(y^2=x^3-x^2-200x-528\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[(-3, 6)]$ |
| 5520.j4 |
5520r4 |
5520.j |
5520r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$2.576609666$ |
$1$ |
|
$3$ |
$6144$ |
$1.033072$ |
$46268279/453342420$ |
$1.04877$ |
$4.14392$ |
$[0, -1, 0, 120, 65520]$ |
\(y^2=x^3-x^2+120x+65520\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 552.24.0.?, 2760.48.0.? |
$[(42, 378)]$ |
| 5520.k1 |
5520d2 |
5520.k |
5520d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.640640958$ |
$1$ |
|
$3$ |
$42240$ |
$1.844418$ |
$7536914291382802562/17961229575$ |
$1.01404$ |
$5.92969$ |
$[0, -1, 0, -518720, -143623200]$ |
\(y^2=x^3-x^2-518720x-143623200\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(1772, 67068)]$ |
| 5520.k2 |
5520d1 |
5520.k |
5520d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$3.281281916$ |
$1$ |
|
$3$ |
$21120$ |
$1.497843$ |
$-3552342505518244/179863605135$ |
$0.97850$ |
$4.96995$ |
$[0, -1, 0, -32040, -2291328]$ |
\(y^2=x^3-x^2-32040x-2291328\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(622, 14766)]$ |
| 5520.l1 |
5520t2 |
5520.l |
5520t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.213055$ |
$6687281588245201/165600$ |
$0.98744$ |
$5.19453$ |
$[0, -1, 0, -62800, 6078400]$ |
\(y^2=x^3-x^2-62800x+6078400\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 5520.l2 |
5520t1 |
5520.l |
5520t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{22} \cdot 3 \cdot 5 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.866482$ |
$-1626794704081/8125440$ |
$0.93841$ |
$4.22974$ |
$[0, -1, 0, -3920, 96192]$ |
\(y^2=x^3-x^2-3920x+96192\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 5520.m1 |
5520s1 |
5520.m |
5520s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$0.324585360$ |
$1$ |
|
$6$ |
$5376$ |
$0.731775$ |
$-260956266496/145546875$ |
$0.96228$ |
$3.77288$ |
$[0, -1, 0, -845, -12975]$ |
\(y^2=x^3-x^2-845x-12975\) |
230.2.0.? |
$[(65, 450)]$ |
| 5520.n1 |
5520c1 |
5520.n |
5520c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$1.512997$ |
$190737654201344/2245153696875$ |
$1.02276$ |
$4.80370$ |
$[0, -1, 0, 7615, -1127283]$ |
\(y^2=x^3-x^2+7615x-1127283\) |
230.2.0.? |
$[]$ |
| 5520.o1 |
5520v3 |
5520.o |
5520v |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6048$ |
$0.825448$ |
$12444451776495616/912525$ |
$1.07101$ |
$4.62303$ |
$[0, -1, 0, -12165, 520512]$ |
\(y^2=x^3-x^2-12165x+520512\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 20.6.0.b.1, $\ldots$ |
$[]$ |
| 5520.o2 |
5520v4 |
5520.o |
5520v |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12096$ |
$1.172022$ |
$-772993034343376/6661615005$ |
$1.03684$ |
$4.62403$ |
$[0, -1, 0, -12140, 522732]$ |
\(y^2=x^3-x^2-12140x+522732\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 20.6.0.a.1, $\ldots$ |
$[]$ |
| 5520.o3 |
5520v1 |
5520.o |
5520v |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2016$ |
$0.276142$ |
$31238127616/9703125$ |
$1.02129$ |
$3.12640$ |
$[0, -1, 0, -165, 612]$ |
\(y^2=x^3-x^2-165x+612\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 20.6.0.b.1, $\ldots$ |
$[]$ |
| 5520.o4 |
5520v2 |
5520.o |
5520v |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4032$ |
$0.622715$ |
$41957807024/48205125$ |
$0.90940$ |
$3.48243$ |
$[0, -1, 0, 460, 3612]$ |
\(y^2=x^3-x^2+460x+3612\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 20.6.0.a.1, $\ldots$ |
$[]$ |
| 5520.p1 |
5520w1 |
5520.p |
5520w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.815933$ |
$-111701610496/18862875$ |
$0.93587$ |
$3.94758$ |
$[0, -1, 0, -1605, -27603]$ |
\(y^2=x^3-x^2-1605x-27603\) |
230.2.0.? |
$[]$ |
| 5520.q1 |
5520e3 |
5520.q |
5520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.529248$ |
$1600610497636/9315$ |
$0.92763$ |
$4.06596$ |
$[0, 1, 0, -2456, -47676]$ |
\(y^2=x^3+x^2-2456x-47676\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 92.12.0.?, $\ldots$ |
$[]$ |
| 5520.q2 |
5520e2 |
5520.q |
5520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1792$ |
$0.182675$ |
$1650587344/119025$ |
$0.84461$ |
$3.10691$ |
$[0, 1, 0, -156, -756]$ |
\(y^2=x^3+x^2-156x-756\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 92.12.0.?, $\ldots$ |
$[]$ |
| 5520.q3 |
5520e1 |
5520.q |
5520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$896$ |
$-0.163899$ |
$212629504/43125$ |
$0.84937$ |
$2.54727$ |
$[0, 1, 0, -31, 44]$ |
\(y^2=x^3+x^2-31x+44\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 92.12.0.?, $\ldots$ |
$[]$ |
| 5520.q4 |
5520e4 |
5520.q |
5520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.529248$ |
$320251964/4197615$ |
$0.91734$ |
$3.43438$ |
$[0, 1, 0, 144, -3036]$ |
\(y^2=x^3+x^2+144x-3036\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
| 5520.r1 |
5520z2 |
5520.r |
5520z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{15} \cdot 3^{14} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.264475823$ |
$1$ |
|
$13$ |
$16128$ |
$1.372200$ |
$47316161414809/22001657400$ |
$0.98513$ |
$4.61990$ |
$[0, 1, 0, -12056, 221844]$ |
\(y^2=x^3+x^2-12056x+221844\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(-26, 720)]$ |
| 5520.r2 |
5520z1 |
5520.r |
5520z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.528951646$ |
$1$ |
|
$9$ |
$8064$ |
$1.025625$ |
$510273943271/370215360$ |
$0.96003$ |
$4.09418$ |
$[0, 1, 0, 2664, 27540]$ |
\(y^2=x^3+x^2+2664x+27540\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(36, 414)]$ |
| 5520.s1 |
5520f2 |
5520.s |
5520f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$0.622306$ |
$33909572018/3234375$ |
$0.90332$ |
$3.69906$ |
$[0, 1, 0, -856, -9100]$ |
\(y^2=x^3+x^2-856x-9100\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
