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 |
159936.a1 |
159936hy1 |
159936.a |
159936hy |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$2.045700949$ |
$1$ |
|
$5$ |
$552960$ |
$1.249147$ |
$1771561/612$ |
$1.28490$ |
$3.21631$ |
$[0, -1, 0, -7905, -169119]$ |
\(y^2=x^3-x^2-7905x-169119\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(-72, 147)]$ |
159936.a2 |
159936hy2 |
159936.a |
159936hy |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3^{4} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$4.091401899$ |
$1$ |
|
$5$ |
$1105920$ |
$1.595722$ |
$46268279/46818$ |
$0.94894$ |
$3.48859$ |
$[0, -1, 0, 23455, -1203999]$ |
\(y^2=x^3-x^2+23455x-1203999\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(56, 531)]$ |
159936.b1 |
159936hz1 |
159936.b |
159936hz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 7^{10} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.633850$ |
$13681452614144/20927272323$ |
$1.08416$ |
$4.53674$ |
$[0, -1, 0, 1307745, -738294339]$ |
\(y^2=x^3-x^2+1307745x-738294339\) |
6.2.0.a.1 |
$[]$ |
159936.c1 |
159936cn1 |
159936.c |
159936cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{5} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.564903128$ |
$1$ |
|
$2$ |
$604800$ |
$1.311102$ |
$-629407744/70227$ |
$1.24254$ |
$3.35178$ |
$[0, -1, 0, -12805, 613411]$ |
\(y^2=x^3-x^2-12805x+613411\) |
6.2.0.a.1 |
$[(-42, 1037)]$ |
159936.d1 |
159936ii1 |
159936.d |
159936ii |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1.367370787$ |
$1$ |
|
$2$ |
$602112$ |
$1.375309$ |
$208537/51$ |
$0.77253$ |
$3.36255$ |
$[0, -1, 0, -14177, -488991]$ |
\(y^2=x^3-x^2-14177x-488991\) |
204.2.0.? |
$[(-65, 392)]$ |
159936.e1 |
159936co2 |
159936.e |
159936co |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3 \cdot 7^{10} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3773952$ |
$2.198719$ |
$40685771728/14739$ |
$0.92865$ |
$4.47254$ |
$[0, -1, 0, -1194097, -501680591]$ |
\(y^2=x^3-x^2-1194097x-501680591\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[]$ |
159936.e2 |
159936co1 |
159936.e |
159936co |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1257984$ |
$1.649412$ |
$1722448/459$ |
$0.79249$ |
$3.63216$ |
$[0, -1, 0, -41617, 2414161]$ |
\(y^2=x^3-x^2-41617x+2414161\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[]$ |
159936.f1 |
159936ij1 |
159936.f |
159936ij |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{11} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$7.150576293$ |
$1$ |
|
$0$ |
$2027520$ |
$2.075310$ |
$1717641340122148/3011499$ |
$1.01025$ |
$4.50270$ |
$[0, -1, 0, -1346977, -601261919]$ |
\(y^2=x^3-x^2-1346977x-601261919\) |
204.2.0.? |
$[(-32829/7, 9652/7)]$ |
159936.g1 |
159936cp1 |
159936.g |
159936cp |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{10} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$5.247239404$ |
$1$ |
|
$2$ |
$2654208$ |
$2.194462$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.29881$ |
$[0, -1, 0, -587477, 177562701]$ |
\(y^2=x^3-x^2-587477x+177562701\) |
3.4.0.a.1, 102.8.0.?, 168.8.0.?, 2856.16.0.? |
$[(-884, 2303)]$ |
159936.g2 |
159936cp2 |
159936.g |
159936cp |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3 \cdot 7^{18} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$15.74171821$ |
$1$ |
|
$0$ |
$7962624$ |
$2.743767$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$4.66843$ |
$[0, -1, 0, 2611243, 714627789]$ |
\(y^2=x^3-x^2+2611243x+714627789\) |
3.4.0.a.1, 102.8.0.?, 168.8.0.?, 2856.16.0.? |
$[(-7472180/169, 17731094087/169)]$ |
159936.h1 |
159936cq1 |
159936.h |
159936cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.241722$ |
$-8390176768/1821771$ |
$0.90870$ |
$3.25501$ |
$[0, -1, 0, -8297, 343911]$ |
\(y^2=x^3-x^2-8297x+343911\) |
102.2.0.? |
$[]$ |
159936.i1 |
159936ia1 |
159936.i |
159936ia |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3 \cdot 7^{9} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1.365413968$ |
$1$ |
|
$2$ |
$3082240$ |
$2.286697$ |
$6414120712/4259571$ |
$0.94999$ |
$4.21382$ |
$[0, -1, 0, 424863, 40802721]$ |
\(y^2=x^3-x^2+424863x+40802721\) |
2856.2.0.? |
$[(-16, 5831)]$ |
159936.j1 |
159936cw1 |
159936.j |
159936cw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{26} \cdot 3^{9} \cdot 7^{8} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$4.370384677$ |
$1$ |
|
$10$ |
$4644864$ |
$2.549248$ |
$152186997697/85660416$ |
$1.00658$ |
$4.48923$ |
$[0, -1, 0, -1276417, 92258209]$ |
\(y^2=x^3-x^2-1276417x+92258209\) |
204.2.0.? |
$[(-555, 25088), (-261, 20188)]$ |
159936.k1 |
159936ib1 |
159936.k |
159936ib |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{25} \cdot 3^{4} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3612672$ |
$2.432858$ |
$-3977954113/176256$ |
$0.93457$ |
$4.51604$ |
$[0, -1, 0, -1386177, -651310911]$ |
\(y^2=x^3-x^2-1386177x-651310911\) |
136.2.0.? |
$[]$ |
159936.l1 |
159936ik1 |
159936.l |
159936ik |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1.916831660$ |
$1$ |
|
$2$ |
$56832$ |
$0.153558$ |
$6889792/51$ |
$0.81427$ |
$2.31070$ |
$[0, -1, 0, -212, 1254]$ |
\(y^2=x^3-x^2-212x+1254\) |
204.2.0.? |
$[(7, 8)]$ |
159936.m1 |
159936ic1 |
159936.m |
159936ic |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1.576056197$ |
$1$ |
|
$4$ |
$602112$ |
$1.567970$ |
$449455096/260253$ |
$1.00718$ |
$3.50479$ |
$[0, -1, 0, 25023, 28449]$ |
\(y^2=x^3-x^2+25023x+28449\) |
2856.2.0.? |
$[(5, 392)]$ |
159936.n1 |
159936cr2 |
159936.n |
159936cr |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{48} \cdot 3 \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$5.467077120$ |
$1$ |
|
$0$ |
$2488320$ |
$2.245323$ |
$5799070911693913/54760833024$ |
$1.06083$ |
$4.39514$ |
$[0, -1, 0, -876577, -313008191]$ |
\(y^2=x^3-x^2-876577x-313008191\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(-492355/31, 34603008/31)]$ |
159936.n2 |
159936cr1 |
159936.n |
159936cr |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{28} \cdot 3^{3} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1.822359040$ |
$1$ |
|
$2$ |
$829440$ |
$1.696018$ |
$3914907891433/135834624$ |
$1.03156$ |
$3.78587$ |
$[0, -1, 0, -76897, 7983361]$ |
\(y^2=x^3-x^2-76897x+7983361\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(-19, 3072)]$ |
159936.o1 |
159936cs1 |
159936.o |
159936cs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{5} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$2.430457668$ |
$1$ |
|
$2$ |
$368640$ |
$1.165525$ |
$-2249728/4131$ |
$0.90547$ |
$3.12409$ |
$[0, -1, 0, -3397, 156829]$ |
\(y^2=x^3-x^2-3397x+156829\) |
102.2.0.? |
$[(12, 343)]$ |
159936.p1 |
159936ct1 |
159936.p |
159936ct |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{17} \cdot 3^{4} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1.394857664$ |
$1$ |
|
$2$ |
$98304$ |
$0.594148$ |
$964894/1377$ |
$1.02472$ |
$2.49010$ |
$[0, -1, 0, 383, 3361]$ |
\(y^2=x^3-x^2+383x+3361\) |
136.2.0.? |
$[(-5, 36)]$ |
159936.q1 |
159936cx1 |
159936.q |
159936cx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{5} \cdot 7^{8} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$3.593522128$ |
$1$ |
|
$2$ |
$5644800$ |
$2.552685$ |
$26835062456272/345025251$ |
$0.95847$ |
$4.68950$ |
$[0, -1, 0, -2840497, -1821105551]$ |
\(y^2=x^3-x^2-2840497x-1821105551\) |
204.2.0.? |
$[(-985, 4488)]$ |
159936.r1 |
159936id1 |
159936.r |
159936id |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{17} \cdot 3 \cdot 7^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.813133580$ |
$1$ |
|
$10$ |
$94208$ |
$0.556010$ |
$-986078/51$ |
$0.79653$ |
$2.62952$ |
$[0, -1, 0, -737, 8289]$ |
\(y^2=x^3-x^2-737x+8289\) |
2856.2.0.? |
$[(-23, 112), (9, 48)]$ |
159936.s1 |
159936ie1 |
159936.s |
159936ie |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.331098084$ |
$1$ |
|
$0$ |
$69120$ |
$0.326611$ |
$512/51$ |
$0.87758$ |
$2.27123$ |
$[0, -1, 0, 33, -951]$ |
\(y^2=x^3-x^2+33x-951\) |
102.2.0.? |
$[(136/3, 1421/3)]$ |
159936.t1 |
159936cu3 |
159936.t |
159936cu |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3 \cdot 7^{9} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$89579520$ |
$3.856785$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$6.20261$ |
$[0, -1, 0, -1197017537, -15940535323551]$ |
\(y^2=x^3-x^2-1197017537x-15940535323551\) |
3.4.0.a.1, 9.36.0.d.2, 102.8.0.?, 168.8.0.?, 306.72.0.?, $\ldots$ |
$[]$ |
159936.t2 |
159936cu2 |
159936.t |
159936cu |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{15} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$29859840$ |
$3.307480$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.25735$ |
$[0, -1, 0, -3048257, -55329087519]$ |
\(y^2=x^3-x^2-3048257x-55329087519\) |
3.12.0.a.1, 9.36.0.a.1, 102.24.0.?, 168.24.0.?, 306.72.0.?, $\ldots$ |
$[]$ |
159936.t3 |
159936cu1 |
159936.t |
159936cu |
$3$ |
$9$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{27} \cdot 3^{9} \cdot 7^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$9953280$ |
$2.758175$ |
$139233463487/58763045376$ |
$1.03208$ |
$4.70704$ |
$[0, -1, 0, 338623, 2046691809]$ |
\(y^2=x^3-x^2+338623x+2046691809\) |
3.4.0.a.1, 9.36.0.d.1, 102.8.0.?, 168.8.0.?, 306.72.0.?, $\ldots$ |
$[]$ |
159936.u1 |
159936if1 |
159936.u |
159936if |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$0.647756$ |
$13805092/4131$ |
$0.83157$ |
$2.62238$ |
$[0, -1, 0, -737, 5601]$ |
\(y^2=x^3-x^2-737x+5601\) |
204.2.0.? |
$[]$ |
159936.v1 |
159936cv1 |
159936.v |
159936cv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$2.283390905$ |
$1$ |
|
$2$ |
$290304$ |
$0.984565$ |
$-27610184/632043$ |
$0.92313$ |
$2.93139$ |
$[0, -1, 0, -737, -48831]$ |
\(y^2=x^3-x^2-737x-48831\) |
24.2.0.b.1 |
$[(55, 272)]$ |
159936.w1 |
159936ig1 |
159936.w |
159936ig |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{11} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$3.703742448$ |
$1$ |
|
$2$ |
$698368$ |
$1.552372$ |
$-6474376070072/3011499$ |
$0.96388$ |
$3.81677$ |
$[0, -1, 0, -86977, -9848159]$ |
\(y^2=x^3-x^2-86977x-9848159\) |
2856.2.0.? |
$[(341, 168)]$ |
159936.x1 |
159936ih1 |
159936.x |
159936ih |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$21.19634812$ |
$1$ |
|
$0$ |
$46448640$ |
$3.642532$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$5.97500$ |
$[0, -1, 0, -482253557, -4076310177939]$ |
\(y^2=x^3-x^2-482253557x-4076310177939\) |
102.2.0.? |
$[(86292201820/1801, 8099618130609439/1801)]$ |
159936.y1 |
159936il2 |
159936.y |
159936il |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{30} \cdot 3^{5} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$24.40791277$ |
$1$ |
|
$0$ |
$243855360$ |
$4.304222$ |
$222165413800219579417/118033833938006016$ |
$1.07176$ |
$6.25026$ |
$[0, -1, 0, -1447968097, -6069944496671]$ |
\(y^2=x^3-x^2-1447968097x-6069944496671\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 204.8.0.?, 408.16.0.? |
$[(-56122910889/1285, 4178823125196784/1285)]$ |
159936.y2 |
159936il1 |
159936.y |
159936il |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{15} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$8.135970924$ |
$1$ |
|
$0$ |
$81285120$ |
$3.754917$ |
$42531320912955257257/1127938881456$ |
$1.03695$ |
$6.11229$ |
$[0, -1, 0, -834519457, 9279100581409]$ |
\(y^2=x^3-x^2-834519457x+9279100581409\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 204.8.0.?, 408.16.0.? |
$[(406839/5, 11138288/5)]$ |
159936.z1 |
159936cy6 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 3^{2} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$1904$ |
$192$ |
$1$ |
$4.174801034$ |
$1$ |
|
$3$ |
$9437184$ |
$2.859753$ |
$2361739090258884097/5202$ |
$1.06083$ |
$5.54624$ |
$[0, -1, 0, -87005249, -312338826015]$ |
\(y^2=x^3-x^2-87005249x-312338826015\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 28.12.0-4.c.1.2, $\ldots$ |
$[(25541, 3758496)]$ |
159936.z2 |
159936cy4 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{4} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$952$ |
$192$ |
$1$ |
$8.349602069$ |
$1$ |
|
$5$ |
$4718592$ |
$2.513180$ |
$576615941610337/27060804$ |
$1.03156$ |
$4.85209$ |
$[0, -1, 0, -5437889, -4878819231]$ |
\(y^2=x^3-x^2-5437889x-4878819231\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 28.24.0-4.b.1.2, 56.96.0-8.e.1.3, $\ldots$ |
$[(7111, 562120)]$ |
159936.z3 |
159936cy5 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3^{2} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$1904$ |
$192$ |
$1$ |
$16.69920413$ |
$1$ |
|
$1$ |
$9437184$ |
$2.859753$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$4.86927$ |
$[0, -1, 0, -5155649, -5408132127]$ |
\(y^2=x^3-x^2-5155649x-5408132127\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 28.12.0-4.c.1.1, 56.96.0-8.m.2.4, $\ldots$ |
$[(30015751/65, 154494245576/65)]$ |
159936.z4 |
159936cy2 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$952$ |
$192$ |
$1$ |
$4.174801034$ |
$1$ |
|
$7$ |
$2359296$ |
$2.166607$ |
$163936758817/30338064$ |
$1.07571$ |
$4.17064$ |
$[0, -1, 0, -357569, -67756191]$ |
\(y^2=x^3-x^2-357569x-67756191\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 56.96.0-8.h.2.4, 68.24.0.c.1, $\ldots$ |
$[(839, 14904)]$ |
159936.z5 |
159936cy1 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{26} \cdot 3^{4} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$1904$ |
$192$ |
$1$ |
$2.087400517$ |
$1$ |
|
$5$ |
$1179648$ |
$1.820034$ |
$4354703137/352512$ |
$1.05192$ |
$3.86785$ |
$[0, -1, 0, -106689, 12475233]$ |
\(y^2=x^3-x^2-106689x+12475233\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 34.6.0.a.1, $\ldots$ |
$[(327, 3528)]$ |
159936.z6 |
159936cy3 |
159936.z |
159936cy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{16} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$1904$ |
$192$ |
$1$ |
$8.349602069$ |
$1$ |
|
$1$ |
$4718592$ |
$2.513180$ |
$1276229915423/2927177028$ |
$1.03010$ |
$4.43257$ |
$[0, -1, 0, 708671, -395518367]$ |
\(y^2=x^3-x^2+708671x-395518367\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 56.48.0-8.ba.2.7, $\ldots$ |
$[(27677/2, 4635351/2)]$ |
159936.ba1 |
159936im3 |
159936.ba |
159936im |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3 \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$2.154518$ |
$524776831496/294004851$ |
$0.97278$ |
$4.09420$ |
$[0, -1, 0, -263489, 9384705]$ |
\(y^2=x^3-x^2-263489x+9384705\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.1, 56.24.0-8.m.1.4, $\ldots$ |
$[]$ |
159936.ba2 |
159936im2 |
159936.ba |
159936im |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1081344$ |
$1.807943$ |
$1003604321728/6245001$ |
$0.98530$ |
$3.97477$ |
$[0, -1, 0, -163529, -25261431]$ |
\(y^2=x^3-x^2-163529x-25261431\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 204.12.0.?, $\ldots$ |
$[]$ |
159936.ba3 |
159936im1 |
159936.ba |
159936im |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$540672$ |
$1.461369$ |
$63942417278272/2499$ |
$1.01234$ |
$3.97440$ |
$[0, -1, 0, -163284, -25341546]$ |
\(y^2=x^3-x^2-163284x-25341546\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.2, 204.12.0.?, $\ldots$ |
$[]$ |
159936.ba4 |
159936im4 |
159936.ba |
159936im |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$2.154518$ |
$-8818423496/331494849$ |
$0.96132$ |
$4.10279$ |
$[0, -1, 0, -67489, -54784127]$ |
\(y^2=x^3-x^2-67489x-54784127\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$ |
$[]$ |
159936.bb1 |
159936in5 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 7^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$283115520$ |
$4.591805$ |
$285531136548675601769470657/17941034271597192$ |
$1.06247$ |
$7.09938$ |
$[0, -1, 0, -43021542209, 3434621350524225]$ |
\(y^2=x^3-x^2-43021542209x+3434621350524225\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 28.12.0-4.c.1.1, 56.96.0-8.p.1.4, $\ldots$ |
$[]$ |
159936.bb2 |
159936in3 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{16} \cdot 7^{10} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$952$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$141557760$ |
$4.245232$ |
$70108386184777836280897/552468975892674624$ |
$1.07814$ |
$6.40570$ |
$[0, -1, 0, -2693962049, 53452178201409]$ |
\(y^2=x^3-x^2-2693962049x+53452178201409\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 28.24.0-4.b.1.2, 56.96.0-8.f.1.7, $\ldots$ |
$[]$ |
159936.bb3 |
159936in6 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3^{32} \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$283115520$ |
$4.591805$ |
$-2770540998624539614657/209924951154647363208$ |
$1.08173$ |
$6.54350$ |
$[0, -1, 0, -917606209, 122887441088833]$ |
\(y^2=x^3-x^2-917606209x+122887441088833\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
159936.bb4 |
159936in2 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{30} \cdot 3^{8} \cdot 7^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$952$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$70778880$ |
$3.898659$ |
$82582985847542515777/44772582831427584$ |
$1.09721$ |
$5.84288$ |
$[0, -1, 0, -284510529, -464118461631]$ |
\(y^2=x^3-x^2-284510529x-464118461631\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 56.96.0-8.i.1.2, 68.24.0.c.1, $\ldots$ |
$[]$ |
159936.bb5 |
159936in1 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{42} \cdot 3^{4} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$35389440$ |
$3.552086$ |
$38331145780597164097/55468445663232$ |
$1.02142$ |
$5.77882$ |
$[0, -1, 0, -220285249, -1256774022335]$ |
\(y^2=x^3-x^2-220285249x-1256774022335\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
159936.bb6 |
159936in4 |
159936.bb |
159936in |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{24} \cdot 3^{4} \cdot 7^{22} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$141557760$ |
$4.245232$ |
$4738217997934888496063/2928751705237796928$ |
$1.06742$ |
$6.18084$ |
$[0, -1, 0, 1097336511, -3651486844095]$ |
\(y^2=x^3-x^2+1097336511x-3651486844095\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 56.48.0-8.bb.2.7, $\ldots$ |
$[]$ |
159936.bc1 |
159936cz4 |
159936.bc |
159936cz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 7^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$3.961625522$ |
$1$ |
|
$3$ |
$983040$ |
$1.831402$ |
$17418812548/1753941$ |
$0.95006$ |
$3.86785$ |
$[0, -1, 0, -106689, -12154911]$ |
\(y^2=x^3-x^2-106689x-12154911\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 42.6.0.a.1, 56.12.0-4.c.1.1, $\ldots$ |
$[(551, 9800)]$ |
159936.bc2 |
159936cz2 |
159936.bc |
159936cz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1.980812761$ |
$1$ |
|
$9$ |
$491520$ |
$1.484829$ |
$830321872/127449$ |
$0.90584$ |
$3.49816$ |
$[0, -1, 0, -24369, 1263249]$ |
\(y^2=x^3-x^2-24369x+1263249\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 56.12.0-2.a.1.1, 68.12.0.a.1, 84.12.0.?, $\ldots$ |
$[(159, 1176)]$ |