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 |
54080.a1 |
54080co1 |
54080.a |
54080co |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$1.263096$ |
$89856/25$ |
$0.66228$ |
$3.56545$ |
$[0, 0, 0, -8788, -228488]$ |
\(y^2=x^3-8788x-228488\) |
2.2.0.a.1, 26.6.0.a.1, 40.4.0-2.a.1.1, 520.12.0.? |
$[]$ |
54080.b1 |
54080cn1 |
54080.b |
54080cn |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$104$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$0.901614$ |
$44302512384/390625$ |
$0.99127$ |
$3.35611$ |
$[0, 0, 0, -4108, -100568]$ |
\(y^2=x^3-4108x-100568\) |
2.2.0.a.1, 26.6.0.a.1, 104.12.0.? |
$[]$ |
54080.c1 |
54080di1 |
54080.c |
54080di |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.1 |
2Cn |
$104$ |
$12$ |
$0$ |
$0.932753863$ |
$1$ |
|
$2$ |
$1597440$ |
$2.184090$ |
$44302512384/390625$ |
$0.99127$ |
$4.76824$ |
$[0, 0, 0, -694252, -220947896]$ |
\(y^2=x^3-694252x-220947896\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 26.6.0.a.1, 104.12.0.? |
$[(-507, 845)]$ |
54080.d1 |
54080dh1 |
54080.d |
54080dh |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1.042179173$ |
$1$ |
|
$2$ |
$18432$ |
$-0.019378$ |
$89856/25$ |
$0.66228$ |
$2.15332$ |
$[0, 0, 0, -52, -104]$ |
\(y^2=x^3-52x-104\) |
2.2.0.a.1, 26.6.0.a.1, 520.12.0.? |
$[(-3, 5)]$ |
54080.e1 |
54080cl1 |
54080.e |
54080cl |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.360580$ |
$117649/65$ |
$0.95681$ |
$3.62828$ |
$[0, 1, 0, -11041, -98721]$ |
\(y^2=x^3+x^2-11041x-98721\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
54080.e2 |
54080cl2 |
54080.e |
54080cl |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{18} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.707153$ |
$6967871/4225$ |
$0.89914$ |
$4.00278$ |
$[0, 1, 0, 43039, -736865]$ |
\(y^2=x^3+x^2+43039x-736865\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 52.12.0-4.a.1.1, 260.24.0.?, $\ldots$ |
$[]$ |
54080.f1 |
54080cr2 |
54080.f |
54080cr |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$0.588212130$ |
$1$ |
|
$9$ |
$39936$ |
$0.527648$ |
$405224/25$ |
$0.79334$ |
$2.84489$ |
$[0, 1, 0, -641, 5695]$ |
\(y^2=x^3+x^2-641x+5695\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(7, 40)]$ |
54080.f2 |
54080cr1 |
54080.f |
54080cr |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.176424261$ |
$1$ |
|
$5$ |
$19968$ |
$0.181074$ |
$21952/5$ |
$0.73783$ |
$2.38656$ |
$[0, 1, 0, -121, -441]$ |
\(y^2=x^3+x^2-121x-441\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(-5, 8)]$ |
54080.g1 |
54080cm2 |
54080.g |
54080cm |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.386106$ |
$1111934656/65$ |
$0.93766$ |
$4.08662$ |
$[0, 1, 0, -58361, -5445881]$ |
\(y^2=x^3+x^2-58361x-5445881\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
54080.g2 |
54080cm1 |
54080.g |
54080cm |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.039534$ |
$-14526784/4225$ |
$0.88671$ |
$3.34433$ |
$[0, 1, 0, -3436, -96186]$ |
\(y^2=x^3+x^2-3436x-96186\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 52.12.0-4.a.1.1, 260.24.0.?, $\ldots$ |
$[]$ |
54080.h1 |
54080t1 |
54080.h |
54080t |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 5 \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$5.657848717$ |
$1$ |
|
$2$ |
$599040$ |
$1.934967$ |
$-338/5$ |
$0.82681$ |
$4.27001$ |
$[0, 1, 0, -38081, -14754401]$ |
\(y^2=x^3+x^2-38081x-14754401\) |
40.2.0.a.1 |
$[(397, 5732)]$ |
54080.i1 |
54080s2 |
54080.i |
54080s |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$5.795269100$ |
$1$ |
|
$1$ |
$61440$ |
$0.923003$ |
$438976/5$ |
$0.87813$ |
$3.36749$ |
$[0, 1, 0, -4281, -108185]$ |
\(y^2=x^3+x^2-4281x-108185\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[(-939/5, 4016/5)]$ |
54080.i2 |
54080s1 |
54080.i |
54080s |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$2.897634550$ |
$1$ |
|
$3$ |
$30720$ |
$0.576429$ |
$-64/25$ |
$1.09219$ |
$2.77327$ |
$[0, 1, 0, -56, -4250]$ |
\(y^2=x^3+x^2-56x-4250\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 52.12.0-4.a.1.1, $\ldots$ |
$[(225, 3380)]$ |
54080.j1 |
54080r1 |
54080.j |
54080r |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$5.124665884$ |
$1$ |
|
$3$ |
$258048$ |
$1.615042$ |
$153910165504/845$ |
$0.97660$ |
$4.41180$ |
$[0, 1, 0, -190181, 31859179]$ |
\(y^2=x^3+x^2-190181x+31859179\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0-20.e.1.7, $\ldots$ |
$[(-5, 5728)]$ |
54080.j2 |
54080r2 |
54080.j |
54080r |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$2.562332942$ |
$1$ |
|
$3$ |
$516096$ |
$1.961615$ |
$-9115564624/714025$ |
$0.88863$ |
$4.41852$ |
$[0, 1, 0, -186801, 33049615]$ |
\(y^2=x^3+x^2-186801x+33049615\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0-20.d.1.5, 52.12.0-4.a.1.1, $\ldots$ |
$[(329, 2704)]$ |
54080.k1 |
54080cj1 |
54080.k |
54080cj |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{21} \cdot 5 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$3.151359635$ |
$1$ |
|
$10$ |
$27648$ |
$0.529507$ |
$-658489/40$ |
$0.82676$ |
$2.85405$ |
$[0, 1, 0, -641, -6785]$ |
\(y^2=x^3+x^2-641x-6785\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 312.8.0.?, 390.8.0.?, $\ldots$ |
$[(31, 64), (159, 1984)]$ |
54080.k2 |
54080cj2 |
54080.k |
54080cj |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{27} \cdot 5^{3} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$3.151359635$ |
$1$ |
|
$10$ |
$82944$ |
$1.078812$ |
$108750551/64000$ |
$1.00157$ |
$3.31349$ |
$[0, 1, 0, 3519, -9281]$ |
\(y^2=x^3+x^2+3519x-9281\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 312.8.0.?, 390.8.0.?, $\ldots$ |
$[(47, 512), (151/5, 13824/5)]$ |
54080.l1 |
54080ba2 |
54080.l |
54080ba |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$2156544$ |
$2.752041$ |
$10260751717/125000$ |
$1.10093$ |
$5.37820$ |
$[0, 1, 0, -6365441, 6113926495]$ |
\(y^2=x^3+x^2-6365441x+6113926495\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
54080.l2 |
54080ba1 |
54080.l |
54080ba |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{24} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1078272$ |
$2.405464$ |
$16194277/8000$ |
$0.94554$ |
$4.78623$ |
$[0, 1, 0, -741121, -94197921]$ |
\(y^2=x^3+x^2-741121x-94197921\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[]$ |
54080.m1 |
54080ck3 |
54080.m |
54080ck |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$8.044944002$ |
$1$ |
|
$11$ |
$110592$ |
$1.248404$ |
$488095744/125$ |
$1.07376$ |
$3.88386$ |
$[0, 1, 0, -27941, 1787995]$ |
\(y^2=x^3+x^2-27941x+1787995\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(99, 44), (94, 31)]$ |
54080.m2 |
54080ck4 |
54080.m |
54080ck |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.011236000$ |
$1$ |
|
$15$ |
$221184$ |
$1.594978$ |
$-20720464/15625$ |
$0.95894$ |
$3.92492$ |
$[0, 1, 0, -24561, 2240239]$ |
\(y^2=x^3+x^2-24561x+2240239\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(59, 1000), (-165, 1352)]$ |
54080.m3 |
54080ck1 |
54080.m |
54080ck |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$8.044944002$ |
$1$ |
|
$7$ |
$36864$ |
$0.699099$ |
$16384/5$ |
$0.95621$ |
$2.93857$ |
$[0, 1, 0, -901, -7461]$ |
\(y^2=x^3+x^2-901x-7461\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-25, 8), (-18, 57)]$ |
54080.m4 |
54080ck2 |
54080.m |
54080ck |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.011236000$ |
$1$ |
|
$17$ |
$73728$ |
$1.045671$ |
$21296/25$ |
$0.83964$ |
$3.21963$ |
$[0, 1, 0, 2479, -47345]$ |
\(y^2=x^3+x^2+2479x-47345\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(69, 676), (251, 4056)]$ |
54080.n1 |
54080u1 |
54080.n |
54080u |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{26} \cdot 5^{5} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$27.87751374$ |
$1$ |
|
$1$ |
$2580480$ |
$2.679146$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.47647$ |
$[0, 1, 0, -9096481, -10561452225]$ |
\(y^2=x^3+x^2-9096481x-10561452225\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[(40847950920979/7463, 261067031745565975552/7463)]$ |
54080.n2 |
54080u2 |
54080.n |
54080u |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{22} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$13.93875687$ |
$1$ |
|
$1$ |
$5160960$ |
$3.025719$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.50958$ |
$[0, 1, 0, -8231201, -12650411201]$ |
\(y^2=x^3+x^2-8231201x-12650411201\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 52.12.0-4.a.1.1, 260.24.0.?, $\ldots$ |
$[(847812835/17, 24685950100864/17)]$ |
54080.o1 |
54080v1 |
54080.o |
54080v |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.224691136$ |
$1$ |
|
$2$ |
$898560$ |
$2.056431$ |
$-244674248/3125$ |
$0.88568$ |
$4.61122$ |
$[0, 1, 0, -389601, 94498015]$ |
\(y^2=x^3+x^2-389601x+94498015\) |
40.2.0.a.1 |
$[(394, 1521)]$ |
54080.p1 |
54080br1 |
54080.p |
54080br |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{5} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.248574695$ |
$1$ |
|
$22$ |
$69120$ |
$0.773954$ |
$-244674248/3125$ |
$0.88568$ |
$3.19909$ |
$[0, 1, 0, -2305, 42303]$ |
\(y^2=x^3+x^2-2305x+42303\) |
40.2.0.a.1 |
$[(31, 40), (-49, 200)]$ |
54080.q1 |
54080dg3 |
54080.q |
54080dg |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{30} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$4.352844815$ |
$1$ |
|
$1$ |
$2322432$ |
$2.552647$ |
$988345570681/44994560$ |
$0.95432$ |
$5.09126$ |
$[0, 1, 0, -2244545, 1241615935]$ |
\(y^2=x^3+x^2-2244545x+1241615935\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(-1043/3, 1045772/3)]$ |
54080.q2 |
54080dg1 |
54080.q |
54080dg |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.450948271$ |
$1$ |
|
$5$ |
$774144$ |
$2.003338$ |
$3803721481/26000$ |
$0.90619$ |
$4.58108$ |
$[0, 1, 0, -351745, -79937025]$ |
\(y^2=x^3+x^2-351745x-79937025\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(-347, 676)]$ |
54080.q3 |
54080dg2 |
54080.q |
54080dg |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.901896543$ |
$1$ |
|
$5$ |
$1548288$ |
$2.349911$ |
$-217081801/10562500$ |
$0.97746$ |
$4.72607$ |
$[0, 1, 0, -135425, -176978177]$ |
\(y^2=x^3+x^2-135425x-176978177\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[(1317, 43940)]$ |
54080.q4 |
54080dg4 |
54080.q |
54080dg |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 5^{2} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$8.705689630$ |
$1$ |
|
$1$ |
$4644864$ |
$2.899220$ |
$157376536199/7722894400$ |
$1.01877$ |
$5.32900$ |
$[0, 1, 0, 1216575, 4728348223]$ |
\(y^2=x^3+x^2+1216575x+4728348223\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[(98554/7, 42448575/7)]$ |
54080.r1 |
54080bw2 |
54080.r |
54080bw |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$0.619528257$ |
$1$ |
|
$9$ |
$165888$ |
$1.469564$ |
$10260751717/125000$ |
$1.10093$ |
$3.96607$ |
$[0, 1, 0, -37665, 2771263]$ |
\(y^2=x^3+x^2-37665x+2771263\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[(131, 320)]$ |
54080.r2 |
54080bw1 |
54080.r |
54080bw |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{24} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1.239056515$ |
$1$ |
|
$5$ |
$82944$ |
$1.122992$ |
$16194277/8000$ |
$0.94554$ |
$3.37410$ |
$[0, 1, 0, -4385, -44225]$ |
\(y^2=x^3+x^2-4385x-44225\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[(-35, 260)]$ |
54080.s1 |
54080bp1 |
54080.s |
54080bp |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.234713$ |
$3631696/65$ |
$0.75998$ |
$3.68858$ |
$[0, 1, 0, -13745, -615185]$ |
\(y^2=x^3+x^2-13745x-615185\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
54080.s2 |
54080bp2 |
54080.s |
54080bp |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.581285$ |
$-4/4225$ |
$1.09431$ |
$3.87986$ |
$[0, 1, 0, -225, -1758977]$ |
\(y^2=x^3+x^2-225x-1758977\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
54080.t1 |
54080df1 |
54080.t |
54080df |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{21} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$18.37614976$ |
$1$ |
|
$0$ |
$359424$ |
$1.811981$ |
$-658489/40$ |
$0.82676$ |
$4.26618$ |
$[0, 1, 0, -108385, -14473185]$ |
\(y^2=x^3+x^2-108385x-14473185\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 30.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[(79136642/293, 650974254767/293)]$ |
54080.t2 |
54080df2 |
54080.t |
54080df |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{27} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$6.125383254$ |
$1$ |
|
$2$ |
$1078272$ |
$2.361286$ |
$108750551/64000$ |
$1.00157$ |
$4.72562$ |
$[0, 1, 0, 594655, -22769057]$ |
\(y^2=x^3+x^2+594655x-22769057\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 30.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[(826, 32135)]$ |
54080.u1 |
54080bq1 |
54080.u |
54080bq |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 5 \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.652493$ |
$-338/5$ |
$0.82681$ |
$2.85788$ |
$[0, 1, 0, -225, -6785]$ |
\(y^2=x^3+x^2-225x-6785\) |
40.2.0.a.1 |
$[]$ |
54080.v1 |
54080dl2 |
54080.v |
54080dl |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$519168$ |
$1.810123$ |
$405224/25$ |
$0.79334$ |
$4.25702$ |
$[0, 1, 0, -108385, 12945375]$ |
\(y^2=x^3+x^2-108385x+12945375\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
54080.v2 |
54080dl1 |
54080.v |
54080dl |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$259584$ |
$1.463549$ |
$21952/5$ |
$0.73783$ |
$3.79869$ |
$[0, 1, 0, -20505, -886937]$ |
\(y^2=x^3+x^2-20505x-886937\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
54080.w1 |
54080cc1 |
54080.w |
54080cc |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.443703$ |
$3037375744/25$ |
$1.18153$ |
$3.11020$ |
$[0, -1, 0, -1681, -25975]$ |
\(y^2=x^3-x^2-1681x-25975\) |
2.2.0.a.1, 26.6.0.a.1, 520.12.0.? |
$[]$ |
54080.x1 |
54080cd1 |
54080.x |
54080cd |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$1.672821$ |
$43264/25$ |
$1.09219$ |
$3.96909$ |
$[0, -1, 0, -38081, -97319]$ |
\(y^2=x^3-x^2-38081x-97319\) |
2.2.0.a.1, 26.6.0.a.1, 520.12.0.? |
$[]$ |
54080.y1 |
54080l2 |
54080.y |
54080l |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1560$ |
$96$ |
$2$ |
$7.801451543$ |
$1$ |
|
$0$ |
$165888$ |
$1.543640$ |
$151635187115776/25$ |
$1.11334$ |
$4.57357$ |
$[0, -1, 0, -342281, -76962575]$ |
\(y^2=x^3-x^2-342281x-76962575\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0-6.a.1.1, 26.6.0.a.1, $\ldots$ |
$[(-714027/46, 6635/46)]$ |
54080.y2 |
54080l1 |
54080.y |
54080l |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1560$ |
$96$ |
$2$ |
$2.600483847$ |
$1$ |
|
$0$ |
$55296$ |
$0.994334$ |
$296747776/15625$ |
$0.92816$ |
$3.36749$ |
$[0, -1, 0, -4281, -101375]$ |
\(y^2=x^3-x^2-4281x-101375\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0-6.a.1.5, 26.6.0.a.1, $\ldots$ |
$[(-123/2, 125/2)]$ |
54080.z1 |
54080k2 |
54080.z |
54080k |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1560$ |
$96$ |
$2$ |
$3.046676559$ |
$1$ |
|
$2$ |
$27648$ |
$0.610767$ |
$1000939264/15625$ |
$0.89834$ |
$3.00834$ |
$[0, -1, 0, -1161, -14639]$ |
\(y^2=x^3-x^2-1161x-14639\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.2, $\ldots$ |
$[(216, 3125)]$ |
54080.z2 |
54080k1 |
54080.z |
54080k |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1560$ |
$96$ |
$2$ |
$1.015558853$ |
$1$ |
|
$2$ |
$9216$ |
$0.061461$ |
$1141504/25$ |
$0.76553$ |
$2.38656$ |
$[0, -1, 0, -121, 545]$ |
\(y^2=x^3-x^2-121x+545\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.1, $\ldots$ |
$[(8, 5)]$ |
54080.ba1 |
54080cb1 |
54080.ba |
54080cb |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$159744$ |
$1.419331$ |
$7311616/25$ |
$0.98811$ |
$3.96909$ |
$[0, -1, 0, -38081, -2839175]$ |
\(y^2=x^3-x^2-38081x-2839175\) |
2.2.0.a.1, 26.6.0.a.1, 40.4.0-2.a.1.1, 520.12.0.? |
$[]$ |
54080.bb1 |
54080ce1 |
54080.bb |
54080ce |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$104$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.232319$ |
$1141504/625$ |
$0.86277$ |
$2.38656$ |
$[0, -1, 0, -121, -79]$ |
\(y^2=x^3-x^2-121x-79\) |
2.2.0.a.1, 26.6.0.a.1, 104.12.0.? |
$[]$ |
54080.bc1 |
54080dc1 |
54080.bc |
54080dc |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.1 |
2Cn |
$104$ |
$12$ |
$0$ |
$0.438725021$ |
$1$ |
|
$4$ |
$239616$ |
$1.514793$ |
$1141504/625$ |
$0.86277$ |
$3.79869$ |
$[0, -1, 0, -20505, -255503]$ |
\(y^2=x^3-x^2-20505x-255503\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 26.6.0.a.1, 104.12.0.? |
$[(-56, 845)]$ |
54080.bd1 |
54080db1 |
54080.bd |
54080db |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$520$ |
$12$ |
$0$ |
$1.491738341$ |
$1$ |
|
$2$ |
$12288$ |
$0.136856$ |
$7311616/25$ |
$0.98811$ |
$2.55696$ |
$[0, -1, 0, -225, -1223]$ |
\(y^2=x^3-x^2-225x-1223\) |
2.2.0.a.1, 26.6.0.a.1, 520.12.0.? |
$[(-8, 1)]$ |