| 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 |
| 272832.a1 |
272832a1 |
272832.a |
272832a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{7} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$887040$ |
$1.221794$ |
$-881395456/63423$ |
$0.89711$ |
$3.14152$ |
$[0, -1, 0, -9865, 403201]$ |
\(y^2=x^3-x^2-9865x+403201\) |
174.2.0.? |
$[]$ |
| 272832.b1 |
272832b1 |
272832.b |
272832b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{9} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$4872$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3999744$ |
$2.122036$ |
$-8741816/658503$ |
$1.01256$ |
$3.89646$ |
$[0, -1, 0, -47105, 45083361]$ |
\(y^2=x^3-x^2-47105x+45083361\) |
3.3.0.a.1, 84.6.0.?, 696.6.0.?, 4872.12.1.? |
$[]$ |
| 272832.c1 |
272832c1 |
272832.c |
272832c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$5.622545505$ |
$1$ |
|
$1$ |
$3526656$ |
$1.880455$ |
$1539998598592/613089$ |
$0.94264$ |
$3.97351$ |
$[0, -1, 0, -330080, 73077306]$ |
\(y^2=x^3-x^2-330080x+73077306\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[(4121/8, 3695139/8)]$ |
| 272832.c2 |
272832c2 |
272832.c |
272832c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$11.24509101$ |
$1$ |
|
$1$ |
$7053312$ |
$2.227028$ |
$-14742169408/15411789$ |
$1.09265$ |
$4.01681$ |
$[0, -1, 0, -280345, 95806201]$ |
\(y^2=x^3-x^2-280345x+95806201\) |
2.3.0.a.1, 28.6.0.b.1, 116.6.0.?, 406.6.0.?, 812.12.0.? |
$[(320713/56, 1450241253/56)]$ |
| 272832.d1 |
272832d1 |
272832.d |
272832d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{31} \cdot 3^{7} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$12.58225128$ |
$1$ |
|
$0$ |
$23482368$ |
$2.851337$ |
$12119452073/519561216$ |
$1.07176$ |
$4.59385$ |
$[0, -1, 0, 1050495, 3542366241]$ |
\(y^2=x^3-x^2+1050495x+3542366241\) |
4872.2.0.? |
$[(-2379112/47, 3536907955/47)]$ |
| 272832.e1 |
272832e1 |
272832.e |
272832e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{4} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.362470635$ |
$1$ |
|
$6$ |
$201600$ |
$0.510571$ |
$-200704/22707$ |
$0.96810$ |
$2.35150$ |
$[0, -1, 0, -65, 2871]$ |
\(y^2=x^3-x^2-65x+2871\) |
6.2.0.a.1 |
$[(-14, 29), (-27/2, 435/2)]$ |
| 272832.f1 |
272832f2 |
272832.f |
272832f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{12} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$6.047499596$ |
$1$ |
|
$3$ |
$10616832$ |
$2.392365$ |
$1626794704081/552715002$ |
$0.98712$ |
$4.17603$ |
$[0, -1, 0, -768385, -166330079]$ |
\(y^2=x^3-x^2-768385x-166330079\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(2071, 84384)]$ |
| 272832.f2 |
272832f1 |
272832.f |
272832f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$3.023749798$ |
$1$ |
|
$5$ |
$5308416$ |
$2.045792$ |
$10063705679/10384668$ |
$0.96108$ |
$3.76974$ |
$[0, -1, 0, 141055, -18091359]$ |
\(y^2=x^3-x^2+141055x-18091359\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(215, 4704)]$ |
| 272832.g1 |
272832g2 |
272832.g |
272832g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{7} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.480260760$ |
$1$ |
|
$7$ |
$1572864$ |
$1.510588$ |
$188183524/52983$ |
$0.95241$ |
$3.34106$ |
$[0, -1, 0, -23585, 1006881]$ |
\(y^2=x^3-x^2-23585x+1006881\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(145, 784)]$ |
| 272832.g2 |
272832g1 |
272832.g |
272832g |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3 \cdot 7^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$2.960521521$ |
$1$ |
|
$5$ |
$786432$ |
$1.164013$ |
$3286064/4263$ |
$0.74911$ |
$2.92421$ |
$[0, -1, 0, 3855, 101361]$ |
\(y^2=x^3-x^2+3855x+101361\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(-7, 272)]$ |
| 272832.h1 |
272832h1 |
272832.h |
272832h |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{8} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$6.106533085$ |
$1$ |
|
$6$ |
$7526400$ |
$2.380726$ |
$606445192192/138706101$ |
$0.94055$ |
$4.18661$ |
$[0, -1, 0, -803077, 215684701]$ |
\(y^2=x^3-x^2-803077x+215684701\) |
58.2.0.a.1 |
$[(181/2, 107163/2), (26836, 4393683)]$ |
| 272832.i1 |
272832i1 |
272832.i |
272832i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.954961775$ |
$1$ |
|
$2$ |
$903168$ |
$1.546097$ |
$843308032/261$ |
$1.07138$ |
$3.66107$ |
$[0, -1, 0, -89637, 10356669]$ |
\(y^2=x^3-x^2-89637x+10356669\) |
58.2.0.a.1 |
$[(180, 147)]$ |
| 272832.j1 |
272832j1 |
272832.j |
272832j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{17} \cdot 3 \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.010008$ |
$24334/87$ |
$0.81241$ |
$2.81250$ |
$[0, -1, 0, 1503, -51519]$ |
\(y^2=x^3-x^2+1503x-51519\) |
696.2.0.? |
$[]$ |
| 272832.k1 |
272832k1 |
272832.k |
272832k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$4.209317478$ |
$1$ |
|
$2$ |
$709632$ |
$1.259508$ |
$458752/261$ |
$0.93418$ |
$3.06054$ |
$[0, -1, 0, -7317, 33741]$ |
\(y^2=x^3-x^2-7317x+33741\) |
58.2.0.a.1 |
$[(84, 69)]$ |
| 272832.l1 |
272832l1 |
272832.l |
272832l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{10} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$752640$ |
$1.362431$ |
$33392128/2349$ |
$0.82175$ |
$3.27100$ |
$[0, -1, 0, -17607, 848709]$ |
\(y^2=x^3-x^2-17607x+848709\) |
58.2.0.a.1 |
$[]$ |
| 272832.m1 |
272832m1 |
272832.m |
272832m |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69189120$ |
$3.533031$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.25027$ |
$[0, -1, 0, -24161377, 215512469761]$ |
\(y^2=x^3-x^2-24161377x+215512469761\) |
3.4.0.a.1, 168.8.0.?, 696.8.0.?, 2436.8.0.?, 4872.16.0.? |
$[]$ |
| 272832.m2 |
272832m2 |
272832.m |
272832m |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{51} \cdot 3^{7} \cdot 7^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207567360$ |
$4.082336$ |
$36079072622241241607/458176313589497856$ |
$1.08854$ |
$5.77043$ |
$[0, -1, 0, 215883743, -5587482288191]$ |
\(y^2=x^3-x^2+215883743x-5587482288191\) |
3.4.0.a.1, 168.8.0.?, 696.8.0.?, 2436.8.0.?, 4872.16.0.? |
$[]$ |
| 272832.n1 |
272832n2 |
272832.n |
272832n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{9} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.695748756$ |
$1$ |
|
$7$ |
$6537216$ |
$2.357887$ |
$261883469104/6365529$ |
$0.91479$ |
$4.27499$ |
$[0, -1, 0, -1161169, 471769873]$ |
\(y^2=x^3-x^2-1161169x+471769873\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(817, 8232)]$ |
| 272832.n2 |
272832n1 |
272832.n |
272832n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{10} \cdot 3 \cdot 7^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.391497513$ |
$1$ |
|
$5$ |
$3268608$ |
$2.011314$ |
$4116309458944/2523$ |
$0.99457$ |
$4.27357$ |
$[0, -1, 0, -1154309, 477728469]$ |
\(y^2=x^3-x^2-1154309x+477728469\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(625, 188)]$ |
| 272832.o1 |
272832o4 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{3} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$37748736$ |
$3.303337$ |
$947531277805646290177/38367$ |
$1.01996$ |
$5.78851$ |
$[0, -1, 0, -641700929, -6256511805375]$ |
\(y^2=x^3-x^2-641700929x-6256511805375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0-8.n.1.3, $\ldots$ |
$[]$ |
| 272832.o2 |
272832o5 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{24} \cdot 7^{7} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$75497472$ |
$3.649910$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.41163$ |
$[0, -1, 0, -133182849, 480959045505]$ |
\(y^2=x^3-x^2-133182849x+480959045505\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 28.12.0.h.1, 48.48.0-48.e.2.30, $\ldots$ |
$[]$ |
| 272832.o3 |
272832o3 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{8} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$37748736$ |
$3.303337$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$5.12852$ |
$[0, -1, 0, -40874689, -93806943551]$ |
\(y^2=x^3-x^2-40874689x-93806943551\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.i.1.14, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 272832.o4 |
272832o2 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{10} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$18874368$ |
$2.956764$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$5.12397$ |
$[0, -1, 0, -40106369, -97747656831]$ |
\(y^2=x^3-x^2-40106369x-97747656831\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 24.48.0-24.i.2.15, 56.48.0-56.m.1.12, $\ldots$ |
$[]$ |
| 272832.o5 |
272832o1 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{18} \cdot 3^{3} \cdot 7^{14} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9437184$ |
$2.610191$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.46571$ |
$[0, -1, 0, -2458689, -1587952575]$ |
\(y^2=x^3-x^2-2458689x-1587952575\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 24.24.0.bz.1, $\ldots$ |
$[]$ |
| 272832.o6 |
272832o6 |
272832.o |
272832o |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{18} \cdot 3^{6} \cdot 7^{7} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$75497472$ |
$3.649910$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.35551$ |
$[0, -1, 0, 39140351, -416379575807]$ |
\(y^2=x^3-x^2+39140351x-416379575807\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 14.6.0.b.1, 24.48.0-24.bz.2.16, $\ldots$ |
$[]$ |
| 272832.p1 |
272832p1 |
272832.p |
272832p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$0.798209$ |
$-562432/783$ |
$0.80037$ |
$2.64228$ |
$[0, -1, 0, -849, 17865]$ |
\(y^2=x^3-x^2-849x+17865\) |
174.2.0.? |
$[]$ |
| 272832.q1 |
272832q1 |
272832.q |
272832q |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{31} \cdot 3^{3} \cdot 7^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$2.039465788$ |
$1$ |
|
$2$ |
$181149696$ |
$4.172813$ |
$526646344431378309263/1308681048044740608$ |
$1.03599$ |
$5.83682$ |
$[0, -1, 0, 527603711, 8465650378753]$ |
\(y^2=x^3-x^2+527603711x+8465650378753\) |
4872.2.0.? |
$[(55809, 14551040)]$ |
| 272832.r1 |
272832r1 |
272832.r |
272832r |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{15} \cdot 3^{5} \cdot 7^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1.720475549$ |
$1$ |
|
$12$ |
$675840$ |
$1.425747$ |
$37259704/49329$ |
$0.80801$ |
$3.17650$ |
$[0, -1, 0, 10911, 494145]$ |
\(y^2=x^3-x^2+10911x+494145\) |
4872.2.0.? |
$[(61, 1176), (-37, 196)]$ |
| 272832.s1 |
272832s1 |
272832.s |
272832s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{15} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$35.46670681$ |
$1$ |
|
$0$ |
$2177280$ |
$1.884171$ |
$-5802287872/416118303$ |
$1.03444$ |
$3.66842$ |
$[0, -1, 0, -18489, -10809567]$ |
\(y^2=x^3-x^2-18489x-10809567\) |
174.2.0.? |
$[(2499325470970112/458449, 124935589311651946020607/458449)]$ |
| 272832.t1 |
272832t1 |
272832.t |
272832t |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{11} \cdot 7^{11} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4872$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28385280$ |
$3.195011$ |
$146588258764583/11051773342848$ |
$1.02098$ |
$4.92408$ |
$[0, -1, 0, 3444831, -27982261215]$ |
\(y^2=x^3-x^2+3444831x-27982261215\) |
4872.2.0.? |
$[]$ |
| 272832.u1 |
272832u2 |
272832.u |
272832u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{23} \cdot 3^{20} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$19.19538835$ |
$1$ |
|
$1$ |
$68812800$ |
$3.589455$ |
$5689227966572359/3235735924128$ |
$1.12016$ |
$5.29434$ |
$[0, -1, 0, -81642689, -37215056031]$ |
\(y^2=x^3-x^2-81642689x-37215056031\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(-5215648085/823, 204673638211084/823)]$ |
| 272832.u2 |
272832u1 |
272832.u |
272832u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{28} \cdot 3^{10} \cdot 7^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$9.597694176$ |
$1$ |
|
$1$ |
$34406400$ |
$3.242878$ |
$86356749052601/50852054016$ |
$1.11073$ |
$4.95976$ |
$[0, -1, 0, 20214591, -4641097887]$ |
\(y^2=x^3-x^2+20214591x-4641097887\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(7840677/31, 24984225792/31)]$ |
| 272832.v1 |
272832v2 |
272832.v |
272832v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{17} \cdot 3^{8} \cdot 7^{3} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$7.220651971$ |
$1$ |
|
$11$ |
$524288$ |
$1.369110$ |
$95743377182/190269$ |
$0.92369$ |
$3.42794$ |
$[0, -1, 0, -33889, 2408449]$ |
\(y^2=x^3-x^2-33889x+2408449\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[(75, 532), (96, 175)]$ |
| 272832.v2 |
272832v1 |
272832.v |
272832v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{3} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1.805162992$ |
$1$ |
|
$15$ |
$262144$ |
$1.022537$ |
$-13771804/68121$ |
$0.87400$ |
$2.84602$ |
$[0, -1, 0, -1409, 63393]$ |
\(y^2=x^3-x^2-1409x+63393\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[(-19, 288), (-37, 252)]$ |
| 272832.w1 |
272832w2 |
272832.w |
272832w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1.467491874$ |
$1$ |
|
$7$ |
$491520$ |
$1.173849$ |
$1371330631/30276$ |
$0.96958$ |
$3.14410$ |
$[0, -1, 0, -10369, -395135]$ |
\(y^2=x^3-x^2-10369x-395135\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(-63, 64)]$ |
| 272832.w2 |
272832w1 |
272832.w |
272832w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{22} \cdot 3 \cdot 7^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$2.934983748$ |
$1$ |
|
$5$ |
$245760$ |
$0.827275$ |
$3442951/1392$ |
$0.93318$ |
$2.66575$ |
$[0, -1, 0, -1409, 11649]$ |
\(y^2=x^3-x^2-1409x+11649\) |
2.3.0.a.1, 28.6.0.b.1, 348.6.0.?, 1218.6.0.?, 2436.12.0.? |
$[(40, 133)]$ |
| 272832.x1 |
272832x1 |
272832.x |
272832x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.274859003$ |
$1$ |
|
$4$ |
$60672$ |
$0.223002$ |
$-1636214272/2523$ |
$0.94603$ |
$2.33841$ |
$[0, -1, 0, -359, 2745]$ |
\(y^2=x^3-x^2-359x+2745\) |
6.2.0.a.1 |
$[(16, 29), (-8, 71)]$ |
| 272832.y1 |
272832y2 |
272832.y |
272832y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{6} \cdot 7^{9} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$7.507638795$ |
$1$ |
|
$11$ |
$4128768$ |
$2.300438$ |
$1121622319/613089$ |
$0.94499$ |
$4.06083$ |
$[0, -1, 0, -475169, -29531487]$ |
\(y^2=x^3-x^2-475169x-29531487\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(-631, 4320), (-64, 783)]$ |
| 272832.y2 |
272832y1 |
272832.y |
272832y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{18} \cdot 3^{3} \cdot 7^{9} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$30.03055518$ |
$1$ |
|
$7$ |
$2064384$ |
$1.953865$ |
$510082399/783$ |
$0.94444$ |
$3.99788$ |
$[0, -1, 0, -365409, -84784671]$ |
\(y^2=x^3-x^2-365409x-84784671\) |
2.3.0.a.1, 28.6.0.b.1, 348.6.0.?, 1218.6.0.?, 2436.12.0.? |
$[(8216, 742595), (-1435/2, 589/2)]$ |
| 272832.z1 |
272832z3 |
272832.z |
272832z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{10} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1624$ |
$48$ |
$0$ |
$6.638847430$ |
$1$ |
|
$11$ |
$3538944$ |
$2.102367$ |
$18807789559108/626661$ |
$0.92865$ |
$4.26083$ |
$[0, -1, 0, -1094529, 441099009]$ |
\(y^2=x^3-x^2-1094529x+441099009\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.ba.1.1, 58.6.0.a.1, $\ldots$ |
$[(600, 147), (159, 16464)]$ |
| 272832.z2 |
272832z4 |
272832.z |
272832z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{7} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1624$ |
$48$ |
$0$ |
$6.638847430$ |
$1$ |
|
$15$ |
$3538944$ |
$2.102367$ |
$462859546468/44558703$ |
$0.90198$ |
$3.96485$ |
$[0, -1, 0, -318369, -63023967]$ |
\(y^2=x^3-x^2-318369x-63023967\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0.h.1, 56.24.0-28.h.1.2, $\ldots$ |
$[(-303, 2352), (-352, 2303)]$ |
| 272832.z3 |
272832z2 |
272832.z |
272832z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{8} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1624$ |
$48$ |
$0$ |
$6.638847430$ |
$1$ |
|
$17$ |
$1769472$ |
$1.755793$ |
$20892021712/3337929$ |
$0.85901$ |
$3.60658$ |
$[0, -1, 0, -71409, 6273009]$ |
\(y^2=x^3-x^2-71409x+6273009\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.a.1, 56.24.0-28.a.1.1, 116.12.0.?, $\ldots$ |
$[(89, 784), (345, 4752)]$ |
| 272832.z4 |
272832z1 |
272832.z |
272832z |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{10} \cdot 3^{8} \cdot 7^{7} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1624$ |
$48$ |
$0$ |
$6.638847430$ |
$1$ |
|
$9$ |
$884736$ |
$1.409220$ |
$464857088/1331883$ |
$0.87860$ |
$3.19081$ |
$[0, -1, 0, 7971, 541773]$ |
\(y^2=x^3-x^2+7971x+541773\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.ba.1.11, 232.24.0.?, $\ldots$ |
$[(-23, 588), (733, 19992)]$ |
| 272832.ba1 |
272832ba2 |
272832.ba |
272832ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{9} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8257536$ |
$2.474678$ |
$3267487271719/4698$ |
$0.95590$ |
$4.69815$ |
$[0, -1, 0, -6786369, 6806881089]$ |
\(y^2=x^3-x^2-6786369x+6806881089\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 272832.ba2 |
272832ba1 |
272832.ba |
272832ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{9} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.128105$ |
$-776151559/30276$ |
$0.88426$ |
$4.03663$ |
$[0, -1, 0, -420289, 108491713]$ |
\(y^2=x^3-x^2-420289x+108491713\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 272832.bb1 |
272832bb2 |
272832.bb |
272832bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{7} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.560846$ |
$830321872/476847$ |
$0.91238$ |
$3.34890$ |
$[0, -1, 0, -24369, -119727]$ |
\(y^2=x^3-x^2-24369x-119727\) |
2.3.0.a.1, 28.6.0.a.1, 116.6.0.?, 812.12.0.? |
$[]$ |
| 272832.bb2 |
272832bb1 |
272832.bb |
272832bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.214273$ |
$4927700992/12789$ |
$0.89073$ |
$3.26966$ |
$[0, -1, 0, -17509, -883931]$ |
\(y^2=x^3-x^2-17509x-883931\) |
2.3.0.a.1, 28.6.0.b.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
| 272832.bc1 |
272832bc4 |
272832.bc |
272832bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{17} \cdot 3^{4} \cdot 7^{10} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.017326$ |
$143256979154/5639949$ |
$0.89591$ |
$3.92653$ |
$[0, -1, 0, -271329, -52425855]$ |
\(y^2=x^3-x^2-271329x-52425855\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[]$ |
| 272832.bc2 |
272832bc2 |
272832.bc |
272832bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1966080$ |
$1.670752$ |
$1219284868/370881$ |
$0.91278$ |
$3.49035$ |
$[0, -1, 0, -43969, 2458849]$ |
\(y^2=x^3-x^2-43969x+2458849\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 28.12.0-2.a.1.1, 168.24.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
| 272832.bc3 |
272832bc1 |
272832.bc |
272832bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( 2^{14} \cdot 3 \cdot 7^{7} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$1.324179$ |
$3685542352/609$ |
$0.89387$ |
$3.46797$ |
$[0, -1, 0, -40049, 3097809]$ |
\(y^2=x^3-x^2-40049x+3097809\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
