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 |
64320.a1 |
64320b1 |
64320.a |
64320b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{14} \cdot 3 \cdot 5^{2} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1.535882967$ |
$1$ |
|
$5$ |
$20480$ |
$0.275665$ |
$94875856/5025$ |
$0.75875$ |
$2.53550$ |
$[0, -1, 0, -241, -1295]$ |
\(y^2=x^3-x^2-241x-1295\) |
2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? |
$[(-9, 8)]$ |
64320.a2 |
64320b2 |
64320.a |
64320b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{16} \cdot 3^{2} \cdot 5 \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$3.071765934$ |
$1$ |
|
$3$ |
$40960$ |
$0.622239$ |
$6740636/202005$ |
$1.00740$ |
$2.77661$ |
$[0, -1, 0, 159, -5535]$ |
\(y^2=x^3-x^2+159x-5535\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(31, 168)]$ |
64320.b1 |
64320bw2 |
64320.b |
64320bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$0.799281274$ |
$1$ |
|
$7$ |
$61440$ |
$0.908537$ |
$21047437081/404010$ |
$0.86760$ |
$3.27384$ |
$[0, -1, 0, -3681, 85761]$ |
\(y^2=x^3-x^2-3681x+85761\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[(45, 96)]$ |
64320.b2 |
64320bw1 |
64320.b |
64320bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{20} \cdot 3 \cdot 5^{2} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1.598562549$ |
$1$ |
|
$5$ |
$30720$ |
$0.561963$ |
$47045881/20100$ |
$1.08281$ |
$2.72257$ |
$[0, -1, 0, -481, -1919]$ |
\(y^2=x^3-x^2-481x-1919\) |
2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? |
$[(-9, 40)]$ |
64320.c1 |
64320bx1 |
64320.c |
64320bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$134$ |
$2$ |
$0$ |
$2.132393931$ |
$1$ |
|
$0$ |
$67584$ |
$1.003393$ |
$8620168984064/19079296875$ |
$0.93680$ |
$3.15964$ |
$[0, -1, 0, 1709, -46259]$ |
\(y^2=x^3-x^2+1709x-46259\) |
134.2.0.? |
$[(601/4, 16875/4)]$ |
64320.d1 |
64320br1 |
64320.d |
64320br |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$134$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.114622$ |
$-219969716909056/135675$ |
$0.93914$ |
$3.85929$ |
$[0, -1, 0, -31941, -2186595]$ |
\(y^2=x^3-x^2-31941x-2186595\) |
134.2.0.? |
$[ ]$ |
64320.e1 |
64320e1 |
64320.e |
64320e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{24} \cdot 3^{5} \cdot 5^{4} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1608$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.437029$ |
$2238323410441/651240000$ |
$0.91868$ |
$3.69534$ |
$[0, -1, 0, -17441, -619359]$ |
\(y^2=x^3-x^2-17441x-619359\) |
2.3.0.a.1, 8.6.0.d.1, 402.6.0.?, 1608.12.0.? |
$[ ]$ |
64320.e2 |
64320e2 |
64320.e |
64320e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{2} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1608$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.783602$ |
$42578013373559/53014192200$ |
$0.95034$ |
$3.97413$ |
$[0, -1, 0, 46559, -4164959]$ |
\(y^2=x^3-x^2+46559x-4164959\) |
2.3.0.a.1, 8.6.0.a.1, 804.6.0.?, 1608.12.0.? |
$[ ]$ |
64320.f1 |
64320d1 |
64320.f |
64320d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5 \cdot 67 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2680$ |
$2$ |
$0$ |
$1.766206904$ |
$1$ |
|
$14$ |
$34816$ |
$0.528740$ |
$-27995042/27135$ |
$0.79956$ |
$2.70195$ |
$[0, -1, 0, -321, -3519]$ |
\(y^2=x^3-x^2-321x-3519\) |
2680.2.0.? |
$[(33, 144), (65, 496)]$ |
64320.g1 |
64320bu4 |
64320.g |
64320bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$8040$ |
$48$ |
$0$ |
$4.977642381$ |
$1$ |
|
$1$ |
$221184$ |
$1.552633$ |
$193985887870344968/9045$ |
$0.96624$ |
$4.53445$ |
$[0, -1, 0, -385921, 92406241]$ |
\(y^2=x^3-x^2-385921x+92406241\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 268.12.0.?, $\ldots$ |
$[(3256/3, 2465/3)]$ |
64320.g2 |
64320bu2 |
64320.g |
64320bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$8040$ |
$48$ |
$0$ |
$2.488821190$ |
$1$ |
|
$7$ |
$110592$ |
$1.206060$ |
$378937595364544/81812025$ |
$0.95711$ |
$3.78320$ |
$[0, -1, 0, -24121, 1449721]$ |
\(y^2=x^3-x^2-24121x+1449721\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, 268.12.0.?, $\ldots$ |
$[(64, 405)]$ |
64320.g3 |
64320bu3 |
64320.g |
64320bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{4} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$8040$ |
$48$ |
$0$ |
$4.977642381$ |
$1$ |
|
$1$ |
$221184$ |
$1.552633$ |
$-33268187675528/22254091875$ |
$0.92612$ |
$3.82067$ |
$[0, -1, 0, -21441, 1781505]$ |
\(y^2=x^3-x^2-21441x+1781505\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 268.12.0.?, $\ldots$ |
$[(907/3, 21500/3)]$ |
64320.g4 |
64320bu1 |
64320.g |
64320bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 67^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$8040$ |
$48$ |
$0$ |
$4.977642381$ |
$1$ |
|
$1$ |
$55296$ |
$0.859486$ |
$8140008920896/2720401335$ |
$0.94363$ |
$3.06068$ |
$[0, -1, 0, -1676, 17730]$ |
\(y^2=x^3-x^2-1676x+17730\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(45/2, 105/2)]$ |
64320.h1 |
64320c4 |
64320.h |
64320c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{3} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2680$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$442368$ |
$1.705629$ |
$154130324060603528/54948375$ |
$0.96509$ |
$4.51368$ |
$[0, -1, 0, -357441, -82134495]$ |
\(y^2=x^3-x^2-357441x-82134495\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 268.12.0.?, $\ldots$ |
$[ ]$ |
64320.h2 |
64320c3 |
64320.h |
64320c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{12} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.705629$ |
$340682638495688/147216796875$ |
$0.94893$ |
$3.96140$ |
$[0, -1, 0, -46561, 1961761]$ |
\(y^2=x^3-x^2-46561x+1961761\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 268.12.0.?, $\ldots$ |
$[ ]$ |
64320.h3 |
64320c2 |
64320.h |
64320c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.359055$ |
$305147442188224/5681390625$ |
$0.93496$ |
$3.76364$ |
$[0, -1, 0, -22441, -1265495]$ |
\(y^2=x^3-x^2-22441x-1265495\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 268.12.0.?, $\ldots$ |
$[ ]$ |
64320.h4 |
64320c1 |
64320.h |
64320c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.012482$ |
$85184/22670011125$ |
$1.18616$ |
$3.20259$ |
$[0, -1, 0, 4, -57954]$ |
\(y^2=x^3-x^2+4x-57954\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$ |
$[ ]$ |
64320.i1 |
64320bo1 |
64320.i |
64320bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{18} \cdot 3^{5} \cdot 5^{6} \cdot 67 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.890234960$ |
$1$ |
|
$11$ |
$184320$ |
$1.393141$ |
$2912566550041/254390625$ |
$0.91283$ |
$3.71912$ |
$[0, -1, 0, -19041, 938241]$ |
\(y^2=x^3-x^2-19041x+938241\) |
2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? |
$[(29, 640), (125, 704)]$ |
64320.i2 |
64320bo2 |
64320.i |
64320bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{3} \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.890234960$ |
$1$ |
|
$11$ |
$368640$ |
$1.739716$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.98180$ |
$[0, -1, 0, 20959, 4322241]$ |
\(y^2=x^3-x^2+20959x+4322241\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(13, 2144), (23693, 3646944)]$ |
64320.j1 |
64320bt2 |
64320.j |
64320bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1.491470467$ |
$1$ |
|
$3$ |
$49152$ |
$0.856883$ |
$1732323601/673350$ |
$0.85859$ |
$3.04828$ |
$[0, -1, 0, -1601, -13599]$ |
\(y^2=x^3-x^2-1601x-13599\) |
2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? |
$[(-27, 96)]$ |
64320.j2 |
64320bt1 |
64320.j |
64320bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$2.982940934$ |
$1$ |
|
$3$ |
$24576$ |
$0.510310$ |
$13651919/12060$ |
$0.80340$ |
$2.61082$ |
$[0, -1, 0, 319, -1695]$ |
\(y^2=x^3-x^2+319x-1695\) |
2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? |
$[(59, 468)]$ |
64320.k1 |
64320bp1 |
64320.k |
64320bp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{25} \cdot 3^{4} \cdot 5^{5} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.511435$ |
$-56667352321/2170800000$ |
$0.95467$ |
$3.74333$ |
$[0, -1, 0, -5121, -1154655]$ |
\(y^2=x^3-x^2-5121x-1154655\) |
2680.2.0.? |
$[ ]$ |
64320.l1 |
64320bq2 |
64320.l |
64320bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$2.563511683$ |
$1$ |
|
$13$ |
$57344$ |
$0.720655$ |
$1189646642/202005$ |
$0.96662$ |
$2.95173$ |
$[0, -1, 0, -1121, -11775]$ |
\(y^2=x^3-x^2-1121x-11775\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[(-19, 48), (269, 4368)]$ |
64320.l2 |
64320bq1 |
64320.l |
64320bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{16} \cdot 3 \cdot 5^{2} \cdot 67 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$2.563511683$ |
$1$ |
|
$11$ |
$28672$ |
$0.374082$ |
$55990084/5025$ |
$0.77492$ |
$2.61308$ |
$[0, -1, 0, -321, 2145]$ |
\(y^2=x^3-x^2-321x+2145\) |
2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? |
$[(8, 5), (23, 80)]$ |
64320.m1 |
64320a1 |
64320.m |
64320a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{12} \cdot 3 \cdot 5^{4} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1608$ |
$12$ |
$0$ |
$2.021180531$ |
$1$ |
|
$5$ |
$22528$ |
$0.361374$ |
$220348864/125625$ |
$0.86751$ |
$2.48640$ |
$[0, -1, 0, -201, 201]$ |
\(y^2=x^3-x^2-201x+201\) |
2.3.0.a.1, 8.6.0.d.1, 402.6.0.?, 1608.12.0.? |
$[(-1, 20)]$ |
64320.m2 |
64320a2 |
64320.m |
64320a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1608$ |
$12$ |
$0$ |
$1.010590265$ |
$1$ |
|
$7$ |
$45056$ |
$0.707948$ |
$1719374392/1010025$ |
$0.89317$ |
$2.85978$ |
$[0, -1, 0, 799, 801]$ |
\(y^2=x^3-x^2+799x+801\) |
2.3.0.a.1, 8.6.0.a.1, 804.6.0.?, 1608.12.0.? |
$[(1, 40)]$ |
64320.n1 |
64320bv2 |
64320.n |
64320bv |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{5} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$4.228814350$ |
$1$ |
|
$3$ |
$716800$ |
$2.110123$ |
$144274561547032082/828346753125$ |
$0.97168$ |
$4.63292$ |
$[0, -1, 0, -555041, 158554305]$ |
\(y^2=x^3-x^2-555041x+158554305\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[(3805, 230480)]$ |
64320.n2 |
64320bv1 |
64320.n |
64320bv |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{10} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$8.457628701$ |
$1$ |
|
$1$ |
$358400$ |
$1.763550$ |
$281391269564164/158994140625$ |
$0.98702$ |
$4.00674$ |
$[0, -1, 0, -55041, -745695]$ |
\(y^2=x^3-x^2-55041x-745695\) |
2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? |
$[(23909/5, 3580352/5)]$ |
64320.o1 |
64320by1 |
64320.o |
64320by |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{41} \cdot 3^{16} \cdot 5^{3} \cdot 67 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2680$ |
$2$ |
$0$ |
$35.79501459$ |
$1$ |
|
$0$ |
$8478720$ |
$3.279354$ |
$-2455589123241289310521/3024229820792832000$ |
$1.02383$ |
$5.67846$ |
$[0, -1, 0, -17988321, -51931146879]$ |
\(y^2=x^3-x^2-17988321x-51931146879\) |
2680.2.0.? |
$[(412054943030031243/7486991, 193690068376303482406059204/7486991)]$ |
64320.p1 |
64320g2 |
64320.p |
64320g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$0.984498$ |
$60801081122/3030075$ |
$0.87217$ |
$3.30705$ |
$[0, -1, 0, -4161, 100161]$ |
\(y^2=x^3-x^2-4161x+100161\) |
2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.p2 |
64320g1 |
64320.p |
64320g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{16} \cdot 3^{6} \cdot 5 \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.637924$ |
$6740636/244215$ |
$0.85473$ |
$2.79406$ |
$[0, -1, 0, 159, 5985]$ |
\(y^2=x^3-x^2+159x+5985\) |
2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.q1 |
64320bs4 |
64320.q |
64320bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 67 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$393216$ |
$1.726900$ |
$532194189377299202/5025$ |
$0.97761$ |
$4.75082$ |
$[0, -1, 0, -857601, 305972385]$ |
\(y^2=x^3-x^2-857601x+305972385\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 1608.48.0.? |
$[ ]$ |
64320.q2 |
64320bs2 |
64320.q |
64320bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.380327$ |
$259878624962404/25250625$ |
$0.93242$ |
$3.99956$ |
$[0, -1, 0, -53601, 4793985]$ |
\(y^2=x^3-x^2-53601x+4793985\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 804.24.0.?, 1608.48.0.? |
$[ ]$ |
64320.q3 |
64320bs3 |
64320.q |
64320bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{2} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.726900$ |
$-102965999263202/40806020025$ |
$0.93905$ |
$4.02566$ |
$[0, -1, 0, -49601, 5535585]$ |
\(y^2=x^3-x^2-49601x+5535585\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 1608.48.0.? |
$[ ]$ |
64320.q4 |
64320bs1 |
64320.q |
64320bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{14} \cdot 3 \cdot 5^{8} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$1608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.033754$ |
$315278049616/78515625$ |
$0.87540$ |
$3.26788$ |
$[0, -1, 0, -3601, 63985]$ |
\(y^2=x^3-x^2-3601x+63985\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 402.6.0.?, 804.12.0.?, $\ldots$ |
$[ ]$ |
64320.r1 |
64320f2 |
64320.r |
64320f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{27} \cdot 3 \cdot 5^{2} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$1.851332$ |
$60643335401133841/172377600$ |
$0.97073$ |
$4.61725$ |
$[0, -1, 0, -523841, -145756095]$ |
\(y^2=x^3-x^2-523841x-145756095\) |
2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.r2 |
64320f1 |
64320.r |
64320f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{36} \cdot 3^{2} \cdot 5 \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.504759$ |
$-14244643829521/790364160$ |
$0.92362$ |
$3.87076$ |
$[0, -1, 0, -32321, -2330559]$ |
\(y^2=x^3-x^2-32321x-2330559\) |
2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.s1 |
64320s1 |
64320.s |
64320s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$3.005230051$ |
$1$ |
|
$3$ |
$73728$ |
$0.877663$ |
$3301293169/723600$ |
$0.85507$ |
$3.10652$ |
$[0, -1, 0, -1985, -26175]$ |
\(y^2=x^3-x^2-1985x-26175\) |
2.3.0.a.1, 20.6.0.b.1, 402.6.0.?, 4020.12.0.? |
$[(-33, 48)]$ |
64320.s2 |
64320s2 |
64320.s |
64320s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{20} \cdot 3^{6} \cdot 5 \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.010460103$ |
$1$ |
|
$1$ |
$147456$ |
$1.224237$ |
$36297569231/65449620$ |
$0.90116$ |
$3.39075$ |
$[0, -1, 0, 4415, -165695]$ |
\(y^2=x^3-x^2+4415x-165695\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(343/3, 6416/3)]$ |
64320.t1 |
64320t4 |
64320.t |
64320t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3 \cdot 5^{2} \cdot 67^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1608$ |
$48$ |
$0$ |
$4.164996439$ |
$1$ |
|
$5$ |
$262144$ |
$1.451344$ |
$5593330773938/1511334075$ |
$0.91933$ |
$3.71545$ |
$[0, -1, 0, -18785, 729825]$ |
\(y^2=x^3-x^2-18785x+729825\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 536.24.0.?, 1608.48.0.? |
$[(120, 435)]$ |
64320.t2 |
64320t2 |
64320.t |
64320t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1608$ |
$48$ |
$0$ |
$2.082498219$ |
$1$ |
|
$9$ |
$131072$ |
$1.104771$ |
$527178079876/25250625$ |
$0.88598$ |
$3.43953$ |
$[0, -1, 0, -6785, -203775]$ |
\(y^2=x^3-x^2-6785x-203775\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 536.24.0.?, 804.24.0.?, $\ldots$ |
$[(-40, 45)]$ |
64320.t3 |
64320t1 |
64320.t |
64320t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{14} \cdot 3 \cdot 5^{2} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1608$ |
$48$ |
$0$ |
$4.164996439$ |
$1$ |
|
$3$ |
$65536$ |
$0.758197$ |
$2035002230224/5025$ |
$0.88433$ |
$3.43631$ |
$[0, -1, 0, -6705, -209103]$ |
\(y^2=x^3-x^2-6705x-209103\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 402.6.0.?, $\ldots$ |
$[(529, 12000)]$ |
64320.t4 |
64320t3 |
64320.t |
64320t |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{8} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1608$ |
$48$ |
$0$ |
$1.041249109$ |
$1$ |
|
$7$ |
$262144$ |
$1.451344$ |
$51396982702/2119921875$ |
$0.95050$ |
$3.67595$ |
$[0, -1, 0, 3935, -797663]$ |
\(y^2=x^3-x^2+3935x-797663\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 536.24.0.?, 1608.48.0.? |
$[(169, 2160)]$ |
64320.u1 |
64320u2 |
64320.u |
64320u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{2} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1.663917429$ |
$1$ |
|
$5$ |
$430080$ |
$1.515631$ |
$2702929031731592/245436075$ |
$1.02459$ |
$4.14847$ |
$[0, -1, 0, -92865, 10922625]$ |
\(y^2=x^3-x^2-92865x+10922625\) |
2.3.0.a.1, 24.6.0.a.1, 1340.6.0.?, 8040.12.0.? |
$[(41, 2680)]$ |
64320.u2 |
64320u1 |
64320.u |
64320u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5 \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$3.327834859$ |
$1$ |
|
$3$ |
$215040$ |
$1.169056$ |
$-4216979924416/1602294615$ |
$0.91017$ |
$3.42250$ |
$[0, -1, 0, -5385, 197577]$ |
\(y^2=x^3-x^2-5385x+197577\) |
2.3.0.a.1, 24.6.0.d.1, 670.6.0.?, 8040.12.0.? |
$[(13, 360)]$ |
64320.v1 |
64320bz2 |
64320.v |
64320bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$0.682104588$ |
$1$ |
|
$9$ |
$147456$ |
$1.227837$ |
$1568173521032/409060125$ |
$0.89740$ |
$3.47538$ |
$[0, -1, 0, -7745, 197025]$ |
\(y^2=x^3-x^2-7745x+197025\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[(205, 2680)]$ |
64320.v2 |
64320bz1 |
64320.v |
64320bz |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 67 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1.364209177$ |
$1$ |
|
$5$ |
$73728$ |
$0.881264$ |
$558661848256/28265625$ |
$0.90658$ |
$3.19434$ |
$[0, -1, 0, -2745, -51975]$ |
\(y^2=x^3-x^2-2745x-51975\) |
2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? |
$[(-25, 20)]$ |
64320.w1 |
64320j2 |
64320.w |
64320j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{17} \cdot 3^{14} \cdot 5 \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$487424$ |
$1.896599$ |
$6374982726455618/107353739205$ |
$0.95604$ |
$4.35118$ |
$[0, -1, 0, -196225, -32900735]$ |
\(y^2=x^3-x^2-196225x-32900735\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.w2 |
64320j1 |
64320.w |
64320j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$243712$ |
$1.550024$ |
$12594657614152036/3663225$ |
$0.95559$ |
$4.35008$ |
$[0, -1, 0, -195425, -33186975]$ |
\(y^2=x^3-x^2-195425x-33186975\) |
2.3.0.a.1, 40.6.0.c.1, 402.6.0.?, 8040.12.0.? |
$[ ]$ |
64320.x1 |
64320ce2 |
64320.x |
64320ce |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8040$ |
$12$ |
$0$ |
$2.603172235$ |
$1$ |
|
$11$ |
$67584$ |
$0.958895$ |
$61069889672/16362405$ |
$0.86662$ |
$3.18223$ |
$[0, -1, 0, -2625, 38817]$ |
\(y^2=x^3-x^2-2625x+38817\) |
2.3.0.a.1, 40.6.0.b.1, 804.6.0.?, 8040.12.0.? |
$[(-3, 216), (7, 144)]$ |