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 |
44352.a1 |
44352bd2 |
44352.a |
44352bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{21} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.637041$ |
$11422548526761/4312$ |
$1.11135$ |
$4.59209$ |
$[0, 0, 0, -270252, -54075600]$ |
\(y^2=x^3-270252x-54075600\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.a2 |
44352bd1 |
44352.a |
44352bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.290468$ |
$-2749884201/54208$ |
$1.01159$ |
$3.81654$ |
$[0, 0, 0, -16812, -853200]$ |
\(y^2=x^3-16812x-853200\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.b1 |
44352bc2 |
44352.b |
44352bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$2.265671$ |
$9791533777258802/427901859$ |
$0.99685$ |
$5.15850$ |
$[0, 0, 0, -2037612, 1119473840]$ |
\(y^2=x^3-2037612x+1119473840\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.b2 |
44352bc1 |
44352.b |
44352bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{10} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.919096$ |
$-4097989445764/1004475087$ |
$0.95402$ |
$4.39973$ |
$[0, 0, 0, -120972, 19322480]$ |
\(y^2=x^3-120972x+19322480\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.c1 |
44352f2 |
44352.c |
44352f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1848$ |
$48$ |
$1$ |
$0.489557257$ |
$1$ |
|
$27$ |
$61440$ |
$0.930453$ |
$4662947952/717409$ |
$0.88120$ |
$3.29562$ |
$[0, 0, 0, -2652, 45040]$ |
\(y^2=x^3-2652x+45040\) |
2.3.0.a.1, 4.6.0.e.1, 12.12.0.m.1, 56.12.0.br.1, 88.12.0.?, $\ldots$ |
$[(42, 88), (53, 231)]$ |
44352.c2 |
44352f1 |
44352.c |
44352f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1848$ |
$48$ |
$1$ |
$1.958229031$ |
$1$ |
|
$15$ |
$30720$ |
$0.583879$ |
$95551488/290521$ |
$1.02108$ |
$2.80846$ |
$[0, 0, 0, 288, 3880]$ |
\(y^2=x^3+288x+3880\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 12.12.0.l.1, 44.12.0.m.1, $\ldots$ |
$[(-6, 44), (38, 264)]$ |
44352.d1 |
44352ee2 |
44352.d |
44352ee |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{25} \cdot 3^{10} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.511356$ |
$45637459887836881/13417633152$ |
$1.00677$ |
$5.36713$ |
$[0, 0, 0, -4288332, 3417199760]$ |
\(y^2=x^3-4288332x+3417199760\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.d2 |
44352ee1 |
44352.d |
44352ee |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{32} \cdot 3^{8} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.164783$ |
$-7347774183121/6119866368$ |
$0.97595$ |
$4.63419$ |
$[0, 0, 0, -233292, 67736720]$ |
\(y^2=x^3-233292x+67736720\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
44352.e1 |
44352de2 |
44352.e |
44352de |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1848$ |
$48$ |
$1$ |
$1.495451815$ |
$1$ |
|
$5$ |
$61440$ |
$0.930453$ |
$4662947952/717409$ |
$0.88120$ |
$3.29562$ |
$[0, 0, 0, -2652, -45040]$ |
\(y^2=x^3-2652x-45040\) |
2.3.0.a.1, 4.6.0.e.1, 12.12.0.m.1, 56.12.0.br.1, 88.12.0.?, $\ldots$ |
$[(-32, 84)]$ |
44352.e2 |
44352de1 |
44352.e |
44352de |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1848$ |
$48$ |
$1$ |
$0.747725907$ |
$1$ |
|
$7$ |
$30720$ |
$0.583879$ |
$95551488/290521$ |
$1.02108$ |
$2.80846$ |
$[0, 0, 0, 288, -3880]$ |
\(y^2=x^3+288x-3880\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 12.12.0.l.1, 44.12.0.m.1, $\ldots$ |
$[(17, 77)]$ |
44352.f1 |
44352ci2 |
44352.f |
44352ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{25} \cdot 3^{10} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$2.044147274$ |
$1$ |
|
$3$ |
$2064384$ |
$2.511356$ |
$45637459887836881/13417633152$ |
$1.00677$ |
$5.36713$ |
$[0, 0, 0, -4288332, -3417199760]$ |
\(y^2=x^3-4288332x-3417199760\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(8270, 725760)]$ |
44352.f2 |
44352ci1 |
44352.f |
44352ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{32} \cdot 3^{8} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$4.088294549$ |
$1$ |
|
$3$ |
$1032192$ |
$2.164783$ |
$-7347774183121/6119866368$ |
$0.97595$ |
$4.63419$ |
$[0, 0, 0, -233292, -67736720]$ |
\(y^2=x^3-233292x-67736720\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(1140, 33880)]$ |
44352.g1 |
44352fd2 |
44352.g |
44352fd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{21} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.703517732$ |
$1$ |
|
$9$ |
$294912$ |
$1.637041$ |
$11422548526761/4312$ |
$1.11135$ |
$4.59209$ |
$[0, 0, 0, -270252, 54075600]$ |
\(y^2=x^3-270252x+54075600\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(298, 64)]$ |
44352.g2 |
44352fd1 |
44352.g |
44352fd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.407035465$ |
$1$ |
|
$5$ |
$147456$ |
$1.290468$ |
$-2749884201/54208$ |
$1.01159$ |
$3.81654$ |
$[0, 0, 0, -16812, 853200]$ |
\(y^2=x^3-16812x+853200\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(48, 396)]$ |
44352.h1 |
44352fc2 |
44352.h |
44352fc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.457592375$ |
$1$ |
|
$7$ |
$983040$ |
$2.265671$ |
$9791533777258802/427901859$ |
$0.99685$ |
$5.15850$ |
$[0, 0, 0, -2037612, -1119473840]$ |
\(y^2=x^3-2037612x-1119473840\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(-822, 176)]$ |
44352.h2 |
44352fc1 |
44352.h |
44352fc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{10} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$2.915184751$ |
$1$ |
|
$5$ |
$491520$ |
$1.919096$ |
$-4097989445764/1004475087$ |
$0.95402$ |
$4.39973$ |
$[0, 0, 0, -120972, -19322480]$ |
\(y^2=x^3-120972x-19322480\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(608, 11484)]$ |
44352.i1 |
44352dq1 |
44352.i |
44352dq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.070354679$ |
$1$ |
|
$2$ |
$23040$ |
$0.433342$ |
$-12487168/26411$ |
$0.83846$ |
$2.67560$ |
$[0, 0, 0, -174, 1906]$ |
\(y^2=x^3-174x+1906\) |
22.2.0.a.1 |
$[(-3, 49)]$ |
44352.j1 |
44352ba1 |
44352.j |
44352ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 7 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$0.665133$ |
$-76995328/18711$ |
$0.81932$ |
$2.99376$ |
$[0, 0, 0, -804, -10456]$ |
\(y^2=x^3-804x-10456\) |
462.2.0.? |
$[]$ |
44352.k1 |
44352z1 |
44352.k |
44352z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 7^{5} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1075200$ |
$2.482613$ |
$110056273881297152/79587574568271$ |
$1.03186$ |
$4.93115$ |
$[0, 0, 0, 905676, 165743944]$ |
\(y^2=x^3+905676x+165743944\) |
462.2.0.? |
$[]$ |
44352.l1 |
44352do1 |
44352.l |
44352do |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{7} \cdot 7 \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.193874827$ |
$1$ |
|
$2$ |
$20480$ |
$0.377268$ |
$-12967168/231$ |
$0.77180$ |
$2.79735$ |
$[0, 0, 0, -444, 3656]$ |
\(y^2=x^3-444x+3656\) |
462.2.0.? |
$[(13, 9)]$ |
44352.m1 |
44352dp1 |
44352.m |
44352dp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{13} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.429628016$ |
$1$ |
|
$2$ |
$86016$ |
$1.133156$ |
$-12967168/8251551$ |
$0.99302$ |
$3.44906$ |
$[0, 0, 0, -444, 119464]$ |
\(y^2=x^3-444x+119464\) |
462.2.0.? |
$[(-43, 243)]$ |
44352.n1 |
44352dr1 |
44352.n |
44352dr |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{15} \cdot 7^{5} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$3.955295602$ |
$1$ |
|
$2$ |
$829440$ |
$2.171646$ |
$-35431687725461248/440311012911$ |
$0.99985$ |
$4.82721$ |
$[0, 0, 0, -620724, 190243384]$ |
\(y^2=x^3-620724x+190243384\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 462.8.0.?, 1848.16.0.? |
$[(1877, 75087)]$ |
44352.n2 |
44352dr2 |
44352.n |
44352dr |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{15} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$11.86588680$ |
$1$ |
|
$0$ |
$2488320$ |
$2.720955$ |
$1491325446082364672/1410025768453071$ |
$1.03600$ |
$5.17475$ |
$[0, 0, 0, 2159196, 972213496]$ |
\(y^2=x^3+2159196x+972213496\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 462.8.0.?, 1848.16.0.? |
$[(558797/19, 614381301/19)]$ |
44352.o1 |
44352db2 |
44352.o |
44352db |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1.829499358$ |
$1$ |
|
$2$ |
$55296$ |
$0.852382$ |
$-84098304/3773$ |
$0.79871$ |
$3.28425$ |
$[0, 0, 0, -2484, 49464]$ |
\(y^2=x^3-2484x+49464\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 462.8.0.?, 1848.16.0.? |
$[(21, 81)]$ |
44352.o2 |
44352db1 |
44352.o |
44352db |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$0.609833119$ |
$1$ |
|
$4$ |
$18432$ |
$0.303076$ |
$15185664/9317$ |
$0.85119$ |
$2.50125$ |
$[0, 0, 0, 156, 184]$ |
\(y^2=x^3+156x+184\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 462.8.0.?, 1848.16.0.? |
$[(5, 33)]$ |
44352.p1 |
44352e1 |
44352.p |
44352e |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.926676$ |
$-610325920583424/55240493$ |
$1.08372$ |
$4.75370$ |
$[0, 0, 0, -480924, -128379816]$ |
\(y^2=x^3-480924x-128379816\) |
462.2.0.? |
$[]$ |
44352.q1 |
44352j2 |
44352.q |
44352j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.852382$ |
$-84098304/3773$ |
$0.79871$ |
$3.28425$ |
$[0, 0, 0, -2484, -49464]$ |
\(y^2=x^3-2484x-49464\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 462.8.0.?, 1848.16.0.? |
$[]$ |
44352.q2 |
44352j1 |
44352.q |
44352j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.303076$ |
$15185664/9317$ |
$0.85119$ |
$2.50125$ |
$[0, 0, 0, 156, -184]$ |
\(y^2=x^3+156x-184\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 462.8.0.?, 1848.16.0.? |
$[]$ |
44352.r1 |
44352dd1 |
44352.r |
44352dd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{3} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1.575053391$ |
$1$ |
|
$2$ |
$368640$ |
$1.926676$ |
$-610325920583424/55240493$ |
$1.08372$ |
$4.75370$ |
$[0, 0, 0, -480924, 128379816]$ |
\(y^2=x^3-480924x+128379816\) |
462.2.0.? |
$[(405, 189)]$ |
44352.s1 |
44352fb1 |
44352.s |
44352fb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.808504588$ |
$1$ |
|
$2$ |
$23040$ |
$0.433342$ |
$-12487168/26411$ |
$0.83846$ |
$2.67560$ |
$[0, 0, 0, -174, -1906]$ |
\(y^2=x^3-174x-1906\) |
22.2.0.a.1 |
$[(17, 7)]$ |
44352.t1 |
44352fa1 |
44352.t |
44352fa |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 7 \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.883453053$ |
$1$ |
|
$2$ |
$30720$ |
$0.665133$ |
$-76995328/18711$ |
$0.81932$ |
$2.99376$ |
$[0, 0, 0, -804, 10456]$ |
\(y^2=x^3-804x+10456\) |
462.2.0.? |
$[(5, 81)]$ |
44352.u1 |
44352ez1 |
44352.u |
44352ez |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 7^{5} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$0.656812225$ |
$1$ |
|
$2$ |
$1075200$ |
$2.482613$ |
$110056273881297152/79587574568271$ |
$1.03186$ |
$4.93115$ |
$[0, 0, 0, 905676, -165743944]$ |
\(y^2=x^3+905676x-165743944\) |
462.2.0.? |
$[(1237, 53361)]$ |
44352.v1 |
44352cq1 |
44352.v |
44352cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{7} \cdot 7 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20480$ |
$0.377268$ |
$-12967168/231$ |
$0.77180$ |
$2.79735$ |
$[0, 0, 0, -444, -3656]$ |
\(y^2=x^3-444x-3656\) |
462.2.0.? |
$[]$ |
44352.w1 |
44352cr1 |
44352.w |
44352cr |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{13} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$462$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.133156$ |
$-12967168/8251551$ |
$0.99302$ |
$3.44906$ |
$[0, 0, 0, -444, -119464]$ |
\(y^2=x^3-444x-119464\) |
462.2.0.? |
$[]$ |
44352.x1 |
44352cs1 |
44352.x |
44352cs |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{15} \cdot 7^{5} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.171646$ |
$-35431687725461248/440311012911$ |
$0.99985$ |
$4.82721$ |
$[0, 0, 0, -620724, -190243384]$ |
\(y^2=x^3-620724x-190243384\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 462.8.0.?, 1848.16.0.? |
$[]$ |
44352.x2 |
44352cs2 |
44352.x |
44352cs |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{15} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.720955$ |
$1491325446082364672/1410025768453071$ |
$1.03600$ |
$5.17475$ |
$[0, 0, 0, 2159196, -972213496]$ |
\(y^2=x^3+2159196x-972213496\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 462.8.0.?, 1848.16.0.? |
$[]$ |
44352.y1 |
44352cw1 |
44352.y |
44352cw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{2} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.921566275$ |
$1$ |
|
$13$ |
$86016$ |
$1.196707$ |
$598885164/539$ |
$0.86382$ |
$3.84942$ |
$[0, 0, 0, -19116, -1016496]$ |
\(y^2=x^3-19116x-1016496\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-80, 28), (165, 567)]$ |
44352.y2 |
44352cw2 |
44352.y |
44352cw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{4} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.921566275$ |
$1$ |
|
$15$ |
$172032$ |
$1.543282$ |
$-138853062/290521$ |
$0.89988$ |
$3.92053$ |
$[0, 0, 0, -14796, -1488240]$ |
\(y^2=x^3-14796x-1488240\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(210, 2160), (178, 1232)]$ |
44352.z1 |
44352dn4 |
44352.z |
44352dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{19} \cdot 3^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.188858350$ |
$1$ |
|
$5$ |
$196608$ |
$1.654688$ |
$1285429208617/614922$ |
$0.94933$ |
$4.38793$ |
$[0, 0, 0, -130476, -18132784]$ |
\(y^2=x^3-130476x-18132784\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-211, 61)]$ |
44352.z2 |
44352dn3 |
44352.z |
44352dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.047214587$ |
$1$ |
|
$9$ |
$196608$ |
$1.654688$ |
$223980311017/4278582$ |
$0.93681$ |
$4.22463$ |
$[0, 0, 0, -72876, 7446224]$ |
\(y^2=x^3-72876x+7446224\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 88.12.0.?, $\ldots$ |
$[(10, 2592)]$ |
44352.z3 |
44352dn2 |
44352.z |
44352dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.094429175$ |
$1$ |
|
$11$ |
$98304$ |
$1.308113$ |
$498677257/213444$ |
$0.90408$ |
$3.65384$ |
$[0, 0, 0, -9516, -182320]$ |
\(y^2=x^3-9516x-182320\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 88.12.0.?, 168.24.0.?, $\ldots$ |
$[(-83, 189)]$ |
44352.z4 |
44352dn1 |
44352.z |
44352dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{22} \cdot 3^{7} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.188858350$ |
$1$ |
|
$3$ |
$49152$ |
$0.961540$ |
$4657463/3696$ |
$0.84999$ |
$3.21706$ |
$[0, 0, 0, 2004, -21040]$ |
\(y^2=x^3+2004x-21040\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(1034, 33280)]$ |
44352.ba1 |
44352y6 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 3^{8} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.100 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.326183$ |
$5701568801608514/6277868289$ |
$0.99431$ |
$5.10796$ |
$[0, 0, 0, -1701516, 853470704]$ |
\(y^2=x^3-1701516x+853470704\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 12.12.0-4.c.1.1, 24.48.0-8.r.1.1, $\ldots$ |
$[]$ |
44352.ba2 |
44352y4 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.22 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$1.979610$ |
$5489767279588/2847396321$ |
$0.98782$ |
$4.39405$ |
$[0, 0, 0, -133356, 6037040]$ |
\(y^2=x^3-133356x+6037040\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 12.24.0-4.b.1.2, 24.48.0-8.c.1.10, $\ldots$ |
$[]$ |
44352.ba3 |
44352y2 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 3^{14} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.25 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.633038$ |
$3911877700432/38900169$ |
$1.03181$ |
$4.23282$ |
$[0, 0, 0, -75036, -7843120]$ |
\(y^2=x^3-75036x-7843120\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.h.1, 24.48.0-8.h.1.3, 56.48.0.x.2, $\ldots$ |
$[]$ |
44352.ba4 |
44352y1 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.286463$ |
$62140690757632/6237$ |
$0.98642$ |
$4.23214$ |
$[0, 0, 0, -74856, -7882936]$ |
\(y^2=x^3-74856x-7882936\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.9, $\ldots$ |
$[]$ |
44352.ba5 |
44352y3 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 3^{22} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$393216$ |
$1.979610$ |
$-17418812548/3314597517$ |
$1.01681$ |
$4.39830$ |
$[0, 0, 0, -19596, -19175056]$ |
\(y^2=x^3-19596x-19175056\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.9, $\ldots$ |
$[]$ |
44352.ba6 |
44352y5 |
44352.ba |
44352y |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 3^{8} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.99 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.326183$ |
$146142660369886/94532266521$ |
$1.01155$ |
$4.76553$ |
$[0, 0, 0, 501684, 46933616]$ |
\(y^2=x^3+501684x+46933616\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.2, 24.48.0-8.k.1.5, $\ldots$ |
$[]$ |
44352.bb1 |
44352dm4 |
44352.bb |
44352dm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{15} \cdot 3^{10} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1848$ |
$48$ |
$0$ |
$2.888696184$ |
$1$ |
|
$5$ |
$81920$ |
$1.213266$ |
$120993582536/6237$ |
$0.97425$ |
$3.97273$ |
$[0, 0, 0, -29676, -1967600]$ |
\(y^2=x^3-29676x-1967600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-99, 5)]$ |
44352.bb2 |
44352dm3 |
44352.bb |
44352dm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( 2^{15} \cdot 3^{7} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1848$ |
$48$ |
$0$ |
$2.888696184$ |
$1$ |
|
$5$ |
$81920$ |
$1.213266$ |
$3989418056/307461$ |
$0.88019$ |
$3.65384$ |
$[0, 0, 0, -9516, 332656]$ |
\(y^2=x^3-9516x+332656\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(104, 684)]$ |